nums listlengths 4 4 | target int64 10 100 | solution listlengths 3 3 | optimal_path stringlengths 282 529 | start_size int64 4 4 |
|---|---|---|---|---|
[
10,
95,
11,
29
] | 89 | [
"10*95=950",
"29+950=979",
"979/11=89"
] | Current State: 89:[10, 95, 11, 29], Operations: []
Exploring Operation: 10*95=950, Resulting Numbers: [11, 29, 950]
Generated Node #2: [11, 29, 950] from Operation: 10*95=950
Current State: 89:[11, 29, 950], Operations: ['10*95=950']
Exploring Operation: 29+950=979, Resulting Numbers: [11, 979]
Generated Node #3: [11, 979] from Operation: 29+950=979
Current State: 89:[11, 979], Operations: ['10*95=950', '29+950=979']
Exploring Operation: 979/11=89, Resulting Numbers: [89]
89,89 equal: Goal Reached
| 4 |
[
99,
95,
55,
19
] | 32 | [
"99-95=4",
"55-19=36",
"36-4=32"
] | Current State: 32:[99, 95, 55, 19], Operations: []
Exploring Operation: 99-95=4, Resulting Numbers: [55, 19, 4]
Generated Node #2: [55, 19, 4] from Operation: 99-95=4
Current State: 32:[55, 19, 4], Operations: ['99-95=4']
Exploring Operation: 55-19=36, Resulting Numbers: [4, 36]
Generated Node #3: [4, 36] from Operation: 55-19=36
Current State: 32:[4, 36], Operations: ['99-95=4', '55-19=36']
Exploring Operation: 36-4=32, Resulting Numbers: [32]
32,32 equal: Goal Reached
| 4 |
[
90,
16,
20,
21
] | 33 | [
"90-16=74",
"20+21=41",
"74-41=33"
] | Current State: 33:[90, 16, 20, 21], Operations: []
Exploring Operation: 90-16=74, Resulting Numbers: [20, 21, 74]
Generated Node #2: [20, 21, 74] from Operation: 90-16=74
Current State: 33:[20, 21, 74], Operations: ['90-16=74']
Exploring Operation: 20+21=41, Resulting Numbers: [74, 41]
Generated Node #3: [74, 41] from Operation: 20+21=41
Current State: 33:[74, 41], Operations: ['90-16=74', '20+21=41']
Exploring Operation: 74-41=33, Resulting Numbers: [33]
33,33 equal: Goal Reached
| 4 |
[
28,
44,
75,
51
] | 12 | [
"28*51=1428",
"44+75=119",
"1428/119=12"
] | Current State: 12:[28, 44, 75, 51], Operations: []
Exploring Operation: 28*51=1428, Resulting Numbers: [44, 75, 1428]
Generated Node #2: [44, 75, 1428] from Operation: 28*51=1428
Current State: 12:[44, 75, 1428], Operations: ['28*51=1428']
Exploring Operation: 44+75=119, Resulting Numbers: [1428, 119]
Generated Node #3: [1428, 119] from Operation: 44+75=119
Current State: 12:[1428, 119], Operations: ['28*51=1428', '44+75=119']
Exploring Operation: 1428/119=12, Resulting Numbers: [12]
12,12 equal: Goal Reached
| 4 |
[
2,
21,
38,
42
] | 37 | [
"2*21=42",
"42/42=1",
"38-1=37"
] | Current State: 37:[2, 21, 38, 42], Operations: []
Exploring Operation: 2*21=42, Resulting Numbers: [38, 42, 42]
Generated Node #2: [38, 42, 42] from Operation: 2*21=42
Current State: 37:[38, 42, 42], Operations: ['2*21=42']
Exploring Operation: 42/42=1, Resulting Numbers: [38, 1]
Generated Node #3: [38, 1] from Operation: 42/42=1
Current State: 37:[38, 1], Operations: ['2*21=42', '42/42=1']
Exploring Operation: 38-1=37, Resulting Numbers: [37]
37,37 equal: Goal Reached
| 4 |
[
42,
4,
1,
29
] | 15 | [
"4-1=3",
"42/3=14",
"29-14=15"
] | Current State: 15:[42, 4, 1, 29], Operations: []
Exploring Operation: 4-1=3, Resulting Numbers: [42, 29, 3]
Generated Node #2: [42, 29, 3] from Operation: 4-1=3
Current State: 15:[42, 29, 3], Operations: ['4-1=3']
Exploring Operation: 42/3=14, Resulting Numbers: [29, 14]
Generated Node #3: [29, 14] from Operation: 42/3=14
Current State: 15:[29, 14], Operations: ['4-1=3', '42/3=14']
Exploring Operation: 29-14=15, Resulting Numbers: [15]
15,15 equal: Goal Reached
| 4 |
[
68,
17,
62,
7
] | 11 | [
"68+62=130",
"17*7=119",
"130-119=11"
] | Current State: 11:[68, 17, 62, 7], Operations: []
Exploring Operation: 68+62=130, Resulting Numbers: [17, 7, 130]
Generated Node #2: [17, 7, 130] from Operation: 68+62=130
Current State: 11:[17, 7, 130], Operations: ['68+62=130']
Exploring Operation: 17*7=119, Resulting Numbers: [130, 119]
Generated Node #3: [130, 119] from Operation: 17*7=119
Current State: 11:[130, 119], Operations: ['68+62=130', '17*7=119']
Exploring Operation: 130-119=11, Resulting Numbers: [11]
11,11 equal: Goal Reached
| 4 |
[
52,
26,
14,
13
] | 51 | [
"52+26=78",
"14+13=27",
"78-27=51"
] | Current State: 51:[52, 26, 14, 13], Operations: []
Exploring Operation: 52+26=78, Resulting Numbers: [14, 13, 78]
Generated Node #2: [14, 13, 78] from Operation: 52+26=78
Current State: 51:[14, 13, 78], Operations: ['52+26=78']
Exploring Operation: 14+13=27, Resulting Numbers: [78, 27]
Generated Node #3: [78, 27] from Operation: 14+13=27
Current State: 51:[78, 27], Operations: ['52+26=78', '14+13=27']
Exploring Operation: 78-27=51, Resulting Numbers: [51]
51,51 equal: Goal Reached
| 4 |
[
22,
69,
9,
38
] | 44 | [
"22+69=91",
"9+38=47",
"91-47=44"
] | Current State: 44:[22, 69, 9, 38], Operations: []
Exploring Operation: 22+69=91, Resulting Numbers: [9, 38, 91]
Generated Node #2: [9, 38, 91] from Operation: 22+69=91
Current State: 44:[9, 38, 91], Operations: ['22+69=91']
Exploring Operation: 9+38=47, Resulting Numbers: [91, 47]
Generated Node #3: [91, 47] from Operation: 9+38=47
Current State: 44:[91, 47], Operations: ['22+69=91', '9+38=47']
Exploring Operation: 91-47=44, Resulting Numbers: [44]
44,44 equal: Goal Reached
| 4 |
[
12,
70,
64,
23
] | 66 | [
"12+23=35",
"70/35=2",
"64+2=66"
] | Current State: 66:[12, 70, 64, 23], Operations: []
Exploring Operation: 12+23=35, Resulting Numbers: [70, 64, 35]
Generated Node #2: [70, 64, 35] from Operation: 12+23=35
Current State: 66:[70, 64, 35], Operations: ['12+23=35']
Exploring Operation: 70/35=2, Resulting Numbers: [64, 2]
Generated Node #3: [64, 2] from Operation: 70/35=2
Current State: 66:[64, 2], Operations: ['12+23=35', '70/35=2']
Exploring Operation: 64+2=66, Resulting Numbers: [66]
66,66 equal: Goal Reached
| 4 |
[
54,
46,
17,
54
] | 64 | [
"54/54=1",
"46+17=63",
"1+63=64"
] | Current State: 64:[54, 46, 17, 54], Operations: []
Exploring Operation: 54/54=1, Resulting Numbers: [46, 17, 1]
Generated Node #2: [46, 17, 1] from Operation: 54/54=1
Current State: 64:[46, 17, 1], Operations: ['54/54=1']
Exploring Operation: 46+17=63, Resulting Numbers: [1, 63]
Generated Node #3: [1, 63] from Operation: 46+17=63
Current State: 64:[1, 63], Operations: ['54/54=1', '46+17=63']
Exploring Operation: 1+63=64, Resulting Numbers: [64]
64,64 equal: Goal Reached
| 4 |
[
12,
20,
92,
16
] | 19 | [
"20+92=112",
"112/16=7",
"12+7=19"
] | Current State: 19:[12, 20, 92, 16], Operations: []
Exploring Operation: 20+92=112, Resulting Numbers: [12, 16, 112]
Generated Node #2: [12, 16, 112] from Operation: 20+92=112
Current State: 19:[12, 16, 112], Operations: ['20+92=112']
Exploring Operation: 112/16=7, Resulting Numbers: [12, 7]
Generated Node #3: [12, 7] from Operation: 112/16=7
Current State: 19:[12, 7], Operations: ['20+92=112', '112/16=7']
Exploring Operation: 12+7=19, Resulting Numbers: [19]
19,19 equal: Goal Reached
| 4 |
[
28,
4,
54,
46
] | 93 | [
"28/4=7",
"54+46=100",
"100-7=93"
] | Current State: 93:[28, 4, 54, 46], Operations: []
Exploring Operation: 28/4=7, Resulting Numbers: [54, 46, 7]
Generated Node #2: [54, 46, 7] from Operation: 28/4=7
Current State: 93:[54, 46, 7], Operations: ['28/4=7']
Exploring Operation: 54+46=100, Resulting Numbers: [7, 100]
Generated Node #3: [7, 100] from Operation: 54+46=100
Current State: 93:[7, 100], Operations: ['28/4=7', '54+46=100']
Exploring Operation: 100-7=93, Resulting Numbers: [93]
93,93 equal: Goal Reached
| 4 |
[
24,
16,
71,
4
] | 91 | [
"24+71=95",
"16/4=4",
"95-4=91"
] | Current State: 91:[24, 16, 71, 4], Operations: []
Exploring Operation: 24+71=95, Resulting Numbers: [16, 4, 95]
Generated Node #2: [16, 4, 95] from Operation: 24+71=95
Current State: 91:[16, 4, 95], Operations: ['24+71=95']
Exploring Operation: 16/4=4, Resulting Numbers: [95, 4]
Generated Node #3: [95, 4] from Operation: 16/4=4
Current State: 91:[95, 4], Operations: ['24+71=95', '16/4=4']
Exploring Operation: 95-4=91, Resulting Numbers: [91]
91,91 equal: Goal Reached
| 4 |
[
85,
63,
5,
87
] | 66 | [
"85+63=148",
"87-5=82",
"148-82=66"
] | Current State: 66:[85, 63, 5, 87], Operations: []
Exploring Operation: 85+63=148, Resulting Numbers: [5, 87, 148]
Generated Node #2: [5, 87, 148] from Operation: 85+63=148
Current State: 66:[5, 87, 148], Operations: ['85+63=148']
Exploring Operation: 87-5=82, Resulting Numbers: [148, 82]
Generated Node #3: [148, 82] from Operation: 87-5=82
Current State: 66:[148, 82], Operations: ['85+63=148', '87-5=82']
Exploring Operation: 148-82=66, Resulting Numbers: [66]
66,66 equal: Goal Reached
| 4 |
[
41,
24,
9,
3
] | 99 | [
"41*9=369",
"369/3=123",
"123-24=99"
] | Current State: 99:[41, 24, 9, 3], Operations: []
Exploring Operation: 41*9=369, Resulting Numbers: [24, 3, 369]
Generated Node #2: [24, 3, 369] from Operation: 41*9=369
Current State: 99:[24, 3, 369], Operations: ['41*9=369']
Exploring Operation: 369/3=123, Resulting Numbers: [24, 123]
Generated Node #3: [24, 123] from Operation: 369/3=123
Current State: 99:[24, 123], Operations: ['41*9=369', '369/3=123']
Exploring Operation: 123-24=99, Resulting Numbers: [99]
99,99 equal: Goal Reached
| 4 |
[
21,
17,
62,
92
] | 68 | [
"21+17=38",
"92-62=30",
"38+30=68"
] | Current State: 68:[21, 17, 62, 92], Operations: []
Exploring Operation: 21+17=38, Resulting Numbers: [62, 92, 38]
Generated Node #2: [62, 92, 38] from Operation: 21+17=38
Current State: 68:[62, 92, 38], Operations: ['21+17=38']
Exploring Operation: 92-62=30, Resulting Numbers: [38, 30]
Generated Node #3: [38, 30] from Operation: 92-62=30
Current State: 68:[38, 30], Operations: ['21+17=38', '92-62=30']
Exploring Operation: 38+30=68, Resulting Numbers: [68]
68,68 equal: Goal Reached
| 4 |
[
57,
66,
61,
44
] | 26 | [
"66-57=9",
"61-44=17",
"9+17=26"
] | Current State: 26:[57, 66, 61, 44], Operations: []
Exploring Operation: 66-57=9, Resulting Numbers: [61, 44, 9]
Generated Node #2: [61, 44, 9] from Operation: 66-57=9
Current State: 26:[61, 44, 9], Operations: ['66-57=9']
Exploring Operation: 61-44=17, Resulting Numbers: [9, 17]
Generated Node #3: [9, 17] from Operation: 61-44=17
Current State: 26:[9, 17], Operations: ['66-57=9', '61-44=17']
Exploring Operation: 9+17=26, Resulting Numbers: [26]
26,26 equal: Goal Reached
| 4 |
[
46,
77,
11,
61
] | 33 | [
"77+61=138",
"138/46=3",
"11*3=33"
] | Current State: 33:[46, 77, 11, 61], Operations: []
Exploring Operation: 77+61=138, Resulting Numbers: [46, 11, 138]
Generated Node #2: [46, 11, 138] from Operation: 77+61=138
Current State: 33:[46, 11, 138], Operations: ['77+61=138']
Exploring Operation: 138/46=3, Resulting Numbers: [11, 3]
Generated Node #3: [11, 3] from Operation: 138/46=3
Current State: 33:[11, 3], Operations: ['77+61=138', '138/46=3']
Exploring Operation: 11*3=33, Resulting Numbers: [33]
33,33 equal: Goal Reached
| 4 |
[
75,
26,
90,
51
] | 62 | [
"75+26=101",
"90-51=39",
"101-39=62"
] | Current State: 62:[75, 26, 90, 51], Operations: []
Exploring Operation: 75+26=101, Resulting Numbers: [90, 51, 101]
Generated Node #2: [90, 51, 101] from Operation: 75+26=101
Current State: 62:[90, 51, 101], Operations: ['75+26=101']
Exploring Operation: 90-51=39, Resulting Numbers: [101, 39]
Generated Node #3: [101, 39] from Operation: 90-51=39
Current State: 62:[101, 39], Operations: ['75+26=101', '90-51=39']
Exploring Operation: 101-39=62, Resulting Numbers: [62]
62,62 equal: Goal Reached
| 4 |
[
6,
23,
16,
25
] | 25 | [
"23-6=17",
"17-16=1",
"25*1=25"
] | Current State: 25:[6, 23, 16, 25], Operations: []
Exploring Operation: 23-6=17, Resulting Numbers: [16, 25, 17]
Generated Node #2: [16, 25, 17] from Operation: 23-6=17
Current State: 25:[16, 25, 17], Operations: ['23-6=17']
Exploring Operation: 17-16=1, Resulting Numbers: [25, 1]
Generated Node #3: [25, 1] from Operation: 17-16=1
Current State: 25:[25, 1], Operations: ['23-6=17', '17-16=1']
Exploring Operation: 25*1=25, Resulting Numbers: [25]
25,25 equal: Goal Reached
| 4 |
[
63,
26,
21,
61
] | 45 | [
"63-26=37",
"21+61=82",
"82-37=45"
] | Current State: 45:[63, 26, 21, 61], Operations: []
Exploring Operation: 63-26=37, Resulting Numbers: [21, 61, 37]
Generated Node #2: [21, 61, 37] from Operation: 63-26=37
Current State: 45:[21, 61, 37], Operations: ['63-26=37']
Exploring Operation: 21+61=82, Resulting Numbers: [37, 82]
Generated Node #3: [37, 82] from Operation: 21+61=82
Current State: 45:[37, 82], Operations: ['63-26=37', '21+61=82']
Exploring Operation: 82-37=45, Resulting Numbers: [45]
45,45 equal: Goal Reached
| 4 |
[
23,
69,
11,
69
] | 61 | [
"69/23=3",
"69-11=58",
"3+58=61"
] | Current State: 61:[23, 69, 11, 69], Operations: []
Exploring Operation: 69/23=3, Resulting Numbers: [11, 3]
Generated Node #2: [11, 3] from Operation: 69/23=3
Current State: 61:[11, 3], Operations: ['69/23=3']
Exploring Operation: 69-11=58, Resulting Numbers: [3, 58]
Generated Node #3: [3, 58] from Operation: 69-11=58
Current State: 61:[3, 58], Operations: ['69/23=3', '69-11=58']
Exploring Operation: 3+58=61, Resulting Numbers: [61]
61,61 equal: Goal Reached
| 4 |
[
32,
91,
26,
91
] | 32 | [
"91-91=0",
"26*0=0",
"32+0=32"
] | Current State: 32:[32, 91, 26, 91], Operations: []
Exploring Operation: 91-91=0, Resulting Numbers: [32, 26, 0]
Generated Node #2: [32, 26, 0] from Operation: 91-91=0
Current State: 32:[32, 26, 0], Operations: ['91-91=0']
Exploring Operation: 26*0=0, Resulting Numbers: [32, 0]
Generated Node #3: [32, 0] from Operation: 26*0=0
Current State: 32:[32, 0], Operations: ['91-91=0', '26*0=0']
Exploring Operation: 32+0=32, Resulting Numbers: [32]
32,32 equal: Goal Reached
| 4 |
[
70,
64,
30,
51
] | 56 | [
"70-64=6",
"30/6=5",
"51+5=56"
] | Current State: 56:[70, 64, 30, 51], Operations: []
Exploring Operation: 70-64=6, Resulting Numbers: [30, 51, 6]
Generated Node #2: [30, 51, 6] from Operation: 70-64=6
Current State: 56:[30, 51, 6], Operations: ['70-64=6']
Exploring Operation: 30/6=5, Resulting Numbers: [51, 5]
Generated Node #3: [51, 5] from Operation: 30/6=5
Current State: 56:[51, 5], Operations: ['70-64=6', '30/6=5']
Exploring Operation: 51+5=56, Resulting Numbers: [56]
56,56 equal: Goal Reached
| 4 |
[
40,
66,
34,
80
] | 60 | [
"40+66=106",
"80-34=46",
"106-46=60"
] | Current State: 60:[40, 66, 34, 80], Operations: []
Exploring Operation: 40+66=106, Resulting Numbers: [34, 80, 106]
Generated Node #2: [34, 80, 106] from Operation: 40+66=106
Current State: 60:[34, 80, 106], Operations: ['40+66=106']
Exploring Operation: 80-34=46, Resulting Numbers: [106, 46]
Generated Node #3: [106, 46] from Operation: 80-34=46
Current State: 60:[106, 46], Operations: ['40+66=106', '80-34=46']
Exploring Operation: 106-46=60, Resulting Numbers: [60]
60,60 equal: Goal Reached
| 4 |
[
25,
99,
84,
46
] | 86 | [
"25+99=124",
"84-46=38",
"124-38=86"
] | Current State: 86:[25, 99, 84, 46], Operations: []
Exploring Operation: 25+99=124, Resulting Numbers: [84, 46, 124]
Generated Node #2: [84, 46, 124] from Operation: 25+99=124
Current State: 86:[84, 46, 124], Operations: ['25+99=124']
Exploring Operation: 84-46=38, Resulting Numbers: [124, 38]
Generated Node #3: [124, 38] from Operation: 84-46=38
Current State: 86:[124, 38], Operations: ['25+99=124', '84-46=38']
Exploring Operation: 124-38=86, Resulting Numbers: [86]
86,86 equal: Goal Reached
| 4 |
[
92,
61,
5,
56
] | 91 | [
"61-5=56",
"56/56=1",
"92-1=91"
] | Current State: 91:[92, 61, 5, 56], Operations: []
Exploring Operation: 61-5=56, Resulting Numbers: [92, 56, 56]
Generated Node #2: [92, 56, 56] from Operation: 61-5=56
Current State: 91:[92, 56, 56], Operations: ['61-5=56']
Exploring Operation: 56/56=1, Resulting Numbers: [92, 1]
Generated Node #3: [92, 1] from Operation: 56/56=1
Current State: 91:[92, 1], Operations: ['61-5=56', '56/56=1']
Exploring Operation: 92-1=91, Resulting Numbers: [91]
91,91 equal: Goal Reached
| 4 |
[
54,
12,
61,
70
] | 75 | [
"54+12=66",
"70-61=9",
"66+9=75"
] | Current State: 75:[54, 12, 61, 70], Operations: []
Exploring Operation: 54+12=66, Resulting Numbers: [61, 70, 66]
Generated Node #2: [61, 70, 66] from Operation: 54+12=66
Current State: 75:[61, 70, 66], Operations: ['54+12=66']
Exploring Operation: 70-61=9, Resulting Numbers: [66, 9]
Generated Node #3: [66, 9] from Operation: 70-61=9
Current State: 75:[66, 9], Operations: ['54+12=66', '70-61=9']
Exploring Operation: 66+9=75, Resulting Numbers: [75]
75,75 equal: Goal Reached
| 4 |
[
60,
13,
39,
10
] | 47 | [
"60-10=50",
"39/13=3",
"50-3=47"
] | Current State: 47:[60, 13, 39, 10], Operations: []
Exploring Operation: 60-10=50, Resulting Numbers: [13, 39, 50]
Generated Node #2: [13, 39, 50] from Operation: 60-10=50
Current State: 47:[13, 39, 50], Operations: ['60-10=50']
Exploring Operation: 39/13=3, Resulting Numbers: [50, 3]
Generated Node #3: [50, 3] from Operation: 39/13=3
Current State: 47:[50, 3], Operations: ['60-10=50', '39/13=3']
Exploring Operation: 50-3=47, Resulting Numbers: [47]
47,47 equal: Goal Reached
| 4 |
[
50,
12,
17,
61
] | 40 | [
"50-12=38",
"17+61=78",
"78-38=40"
] | Current State: 40:[50, 12, 17, 61], Operations: []
Exploring Operation: 50-12=38, Resulting Numbers: [17, 61, 38]
Generated Node #2: [17, 61, 38] from Operation: 50-12=38
Current State: 40:[17, 61, 38], Operations: ['50-12=38']
Exploring Operation: 17+61=78, Resulting Numbers: [38, 78]
Generated Node #3: [38, 78] from Operation: 17+61=78
Current State: 40:[38, 78], Operations: ['50-12=38', '17+61=78']
Exploring Operation: 78-38=40, Resulting Numbers: [40]
40,40 equal: Goal Reached
| 4 |
[
95,
80,
20,
84
] | 79 | [
"95-80=15",
"84-20=64",
"15+64=79"
] | Current State: 79:[95, 80, 20, 84], Operations: []
Exploring Operation: 95-80=15, Resulting Numbers: [20, 84, 15]
Generated Node #2: [20, 84, 15] from Operation: 95-80=15
Current State: 79:[20, 84, 15], Operations: ['95-80=15']
Exploring Operation: 84-20=64, Resulting Numbers: [15, 64]
Generated Node #3: [15, 64] from Operation: 84-20=64
Current State: 79:[15, 64], Operations: ['95-80=15', '84-20=64']
Exploring Operation: 15+64=79, Resulting Numbers: [79]
79,79 equal: Goal Reached
| 4 |
[
98,
79,
36,
76
] | 86 | [
"79-76=3",
"36/3=12",
"98-12=86"
] | Current State: 86:[98, 79, 36, 76], Operations: []
Exploring Operation: 79-76=3, Resulting Numbers: [98, 36, 3]
Generated Node #2: [98, 36, 3] from Operation: 79-76=3
Current State: 86:[98, 36, 3], Operations: ['79-76=3']
Exploring Operation: 36/3=12, Resulting Numbers: [98, 12]
Generated Node #3: [98, 12] from Operation: 36/3=12
Current State: 86:[98, 12], Operations: ['79-76=3', '36/3=12']
Exploring Operation: 98-12=86, Resulting Numbers: [86]
86,86 equal: Goal Reached
| 4 |
[
13,
73,
42,
40
] | 99 | [
"42-40=2",
"13*2=26",
"73+26=99"
] | Current State: 99:[13, 73, 42, 40], Operations: []
Exploring Operation: 42-40=2, Resulting Numbers: [13, 73, 2]
Generated Node #2: [13, 73, 2] from Operation: 42-40=2
Current State: 99:[13, 73, 2], Operations: ['42-40=2']
Exploring Operation: 13*2=26, Resulting Numbers: [73, 26]
Generated Node #3: [73, 26] from Operation: 13*2=26
Current State: 99:[73, 26], Operations: ['42-40=2', '13*2=26']
Exploring Operation: 73+26=99, Resulting Numbers: [99]
99,99 equal: Goal Reached
| 4 |
[
41,
2,
93,
46
] | 31 | [
"41+2=43",
"46-43=3",
"93/3=31"
] | Current State: 31:[41, 2, 93, 46], Operations: []
Exploring Operation: 41+2=43, Resulting Numbers: [93, 46, 43]
Generated Node #2: [93, 46, 43] from Operation: 41+2=43
Current State: 31:[93, 46, 43], Operations: ['41+2=43']
Exploring Operation: 46-43=3, Resulting Numbers: [93, 3]
Generated Node #3: [93, 3] from Operation: 46-43=3
Current State: 31:[93, 3], Operations: ['41+2=43', '46-43=3']
Exploring Operation: 93/3=31, Resulting Numbers: [31]
31,31 equal: Goal Reached
| 4 |
[
58,
26,
83,
60
] | 61 | [
"58+26=84",
"83-60=23",
"84-23=61"
] | Current State: 61:[58, 26, 83, 60], Operations: []
Exploring Operation: 58+26=84, Resulting Numbers: [83, 60, 84]
Generated Node #2: [83, 60, 84] from Operation: 58+26=84
Current State: 61:[83, 60, 84], Operations: ['58+26=84']
Exploring Operation: 83-60=23, Resulting Numbers: [84, 23]
Generated Node #3: [84, 23] from Operation: 83-60=23
Current State: 61:[84, 23], Operations: ['58+26=84', '83-60=23']
Exploring Operation: 84-23=61, Resulting Numbers: [61]
61,61 equal: Goal Reached
| 4 |
[
35,
10,
16,
76
] | 85 | [
"35-10=25",
"76-16=60",
"25+60=85"
] | Current State: 85:[35, 10, 16, 76], Operations: []
Exploring Operation: 35-10=25, Resulting Numbers: [16, 76, 25]
Generated Node #2: [16, 76, 25] from Operation: 35-10=25
Current State: 85:[16, 76, 25], Operations: ['35-10=25']
Exploring Operation: 76-16=60, Resulting Numbers: [25, 60]
Generated Node #3: [25, 60] from Operation: 76-16=60
Current State: 85:[25, 60], Operations: ['35-10=25', '76-16=60']
Exploring Operation: 25+60=85, Resulting Numbers: [85]
85,85 equal: Goal Reached
| 4 |
[
18,
18,
74,
37
] | 75 | [
"18+18=36",
"74+37=111",
"111-36=75"
] | Current State: 75:[18, 18, 74, 37], Operations: []
Exploring Operation: 18+18=36, Resulting Numbers: [74, 37, 36]
Generated Node #2: [74, 37, 36] from Operation: 18+18=36
Current State: 75:[74, 37, 36], Operations: ['18+18=36']
Exploring Operation: 74+37=111, Resulting Numbers: [36, 111]
Generated Node #3: [36, 111] from Operation: 74+37=111
Current State: 75:[36, 111], Operations: ['18+18=36', '74+37=111']
Exploring Operation: 111-36=75, Resulting Numbers: [75]
75,75 equal: Goal Reached
| 4 |
[
80,
92,
35,
68
] | 33 | [
"92+68=160",
"160/80=2",
"35-2=33"
] | Current State: 33:[80, 92, 35, 68], Operations: []
Exploring Operation: 92+68=160, Resulting Numbers: [80, 35, 160]
Generated Node #2: [80, 35, 160] from Operation: 92+68=160
Current State: 33:[80, 35, 160], Operations: ['92+68=160']
Exploring Operation: 160/80=2, Resulting Numbers: [35, 2]
Generated Node #3: [35, 2] from Operation: 160/80=2
Current State: 33:[35, 2], Operations: ['92+68=160', '160/80=2']
Exploring Operation: 35-2=33, Resulting Numbers: [33]
33,33 equal: Goal Reached
| 4 |
[
15,
41,
70,
45
] | 36 | [
"15+41=56",
"45*56=2520",
"2520/70=36"
] | Current State: 36:[15, 41, 70, 45], Operations: []
Exploring Operation: 15+41=56, Resulting Numbers: [70, 45, 56]
Generated Node #2: [70, 45, 56] from Operation: 15+41=56
Current State: 36:[70, 45, 56], Operations: ['15+41=56']
Exploring Operation: 45*56=2520, Resulting Numbers: [70, 2520]
Generated Node #3: [70, 2520] from Operation: 45*56=2520
Current State: 36:[70, 2520], Operations: ['15+41=56', '45*56=2520']
Exploring Operation: 2520/70=36, Resulting Numbers: [36]
36,36 equal: Goal Reached
| 4 |
[
89,
24,
45,
61
] | 80 | [
"89+61=150",
"24*150=3600",
"3600/45=80"
] | Current State: 80:[89, 24, 45, 61], Operations: []
Exploring Operation: 89+61=150, Resulting Numbers: [24, 45, 150]
Generated Node #2: [24, 45, 150] from Operation: 89+61=150
Current State: 80:[24, 45, 150], Operations: ['89+61=150']
Exploring Operation: 24*150=3600, Resulting Numbers: [45, 3600]
Generated Node #3: [45, 3600] from Operation: 24*150=3600
Current State: 80:[45, 3600], Operations: ['89+61=150', '24*150=3600']
Exploring Operation: 3600/45=80, Resulting Numbers: [80]
80,80 equal: Goal Reached
| 4 |
[
21,
91,
30,
7
] | 77 | [
"21*30=630",
"630-91=539",
"539/7=77"
] | Current State: 77:[21, 91, 30, 7], Operations: []
Exploring Operation: 21*30=630, Resulting Numbers: [91, 7, 630]
Generated Node #2: [91, 7, 630] from Operation: 21*30=630
Current State: 77:[91, 7, 630], Operations: ['21*30=630']
Exploring Operation: 630-91=539, Resulting Numbers: [7, 539]
Generated Node #3: [7, 539] from Operation: 630-91=539
Current State: 77:[7, 539], Operations: ['21*30=630', '630-91=539']
Exploring Operation: 539/7=77, Resulting Numbers: [77]
77,77 equal: Goal Reached
| 4 |
[
33,
65,
47,
2
] | 84 | [
"33*2=66",
"65-47=18",
"66+18=84"
] | Current State: 84:[33, 65, 47, 2], Operations: []
Exploring Operation: 33*2=66, Resulting Numbers: [65, 47, 66]
Generated Node #2: [65, 47, 66] from Operation: 33*2=66
Current State: 84:[65, 47, 66], Operations: ['33*2=66']
Exploring Operation: 65-47=18, Resulting Numbers: [66, 18]
Generated Node #3: [66, 18] from Operation: 65-47=18
Current State: 84:[66, 18], Operations: ['33*2=66', '65-47=18']
Exploring Operation: 66+18=84, Resulting Numbers: [84]
84,84 equal: Goal Reached
| 4 |
[
21,
53,
38,
31
] | 65 | [
"21*53=1113",
"38*31=1178",
"1178-1113=65"
] | Current State: 65:[21, 53, 38, 31], Operations: []
Exploring Operation: 21*53=1113, Resulting Numbers: [38, 31, 1113]
Generated Node #2: [38, 31, 1113] from Operation: 21*53=1113
Current State: 65:[38, 31, 1113], Operations: ['21*53=1113']
Exploring Operation: 38*31=1178, Resulting Numbers: [1113, 1178]
Generated Node #3: [1113, 1178] from Operation: 38*31=1178
Current State: 65:[1113, 1178], Operations: ['21*53=1113', '38*31=1178']
Exploring Operation: 1178-1113=65, Resulting Numbers: [65]
65,65 equal: Goal Reached
| 4 |
[
3,
19,
61,
47
] | 92 | [
"19-3=16",
"61+47=108",
"108-16=92"
] | Current State: 92:[3, 19, 61, 47], Operations: []
Exploring Operation: 19-3=16, Resulting Numbers: [61, 47, 16]
Generated Node #2: [61, 47, 16] from Operation: 19-3=16
Current State: 92:[61, 47, 16], Operations: ['19-3=16']
Exploring Operation: 61+47=108, Resulting Numbers: [16, 108]
Generated Node #3: [16, 108] from Operation: 61+47=108
Current State: 92:[16, 108], Operations: ['19-3=16', '61+47=108']
Exploring Operation: 108-16=92, Resulting Numbers: [92]
92,92 equal: Goal Reached
| 4 |
[
63,
92,
90,
60
] | 75 | [
"92*90=8280",
"8280/60=138",
"138-63=75"
] | Current State: 75:[63, 92, 90, 60], Operations: []
Exploring Operation: 92*90=8280, Resulting Numbers: [63, 60, 8280]
Generated Node #2: [63, 60, 8280] from Operation: 92*90=8280
Current State: 75:[63, 60, 8280], Operations: ['92*90=8280']
Exploring Operation: 8280/60=138, Resulting Numbers: [63, 138]
Generated Node #3: [63, 138] from Operation: 8280/60=138
Current State: 75:[63, 138], Operations: ['92*90=8280', '8280/60=138']
Exploring Operation: 138-63=75, Resulting Numbers: [75]
75,75 equal: Goal Reached
| 4 |
[
16,
14,
50,
44
] | 48 | [
"44-16=28",
"28/14=2",
"50-2=48"
] | Current State: 48:[16, 14, 50, 44], Operations: []
Exploring Operation: 44-16=28, Resulting Numbers: [14, 50, 28]
Generated Node #2: [14, 50, 28] from Operation: 44-16=28
Current State: 48:[14, 50, 28], Operations: ['44-16=28']
Exploring Operation: 28/14=2, Resulting Numbers: [50, 2]
Generated Node #3: [50, 2] from Operation: 28/14=2
Current State: 48:[50, 2], Operations: ['44-16=28', '28/14=2']
Exploring Operation: 50-2=48, Resulting Numbers: [48]
48,48 equal: Goal Reached
| 4 |
[
54,
52,
96,
3
] | 97 | [
"54-52=2",
"96+3=99",
"99-2=97"
] | Current State: 97:[54, 52, 96, 3], Operations: []
Exploring Operation: 54-52=2, Resulting Numbers: [96, 3, 2]
Generated Node #2: [96, 3, 2] from Operation: 54-52=2
Current State: 97:[96, 3, 2], Operations: ['54-52=2']
Exploring Operation: 96+3=99, Resulting Numbers: [2, 99]
Generated Node #3: [2, 99] from Operation: 96+3=99
Current State: 97:[2, 99], Operations: ['54-52=2', '96+3=99']
Exploring Operation: 99-2=97, Resulting Numbers: [97]
97,97 equal: Goal Reached
| 4 |
[
46,
66,
38,
1
] | 73 | [
"46+66=112",
"38+1=39",
"112-39=73"
] | Current State: 73:[46, 66, 38, 1], Operations: []
Exploring Operation: 46+66=112, Resulting Numbers: [38, 1, 112]
Generated Node #2: [38, 1, 112] from Operation: 46+66=112
Current State: 73:[38, 1, 112], Operations: ['46+66=112']
Exploring Operation: 38+1=39, Resulting Numbers: [112, 39]
Generated Node #3: [112, 39] from Operation: 38+1=39
Current State: 73:[112, 39], Operations: ['46+66=112', '38+1=39']
Exploring Operation: 112-39=73, Resulting Numbers: [73]
73,73 equal: Goal Reached
| 4 |
[
79,
4,
47,
36
] | 94 | [
"79+4=83",
"47-36=11",
"83+11=94"
] | Current State: 94:[79, 4, 47, 36], Operations: []
Exploring Operation: 79+4=83, Resulting Numbers: [47, 36, 83]
Generated Node #2: [47, 36, 83] from Operation: 79+4=83
Current State: 94:[47, 36, 83], Operations: ['79+4=83']
Exploring Operation: 47-36=11, Resulting Numbers: [83, 11]
Generated Node #3: [83, 11] from Operation: 47-36=11
Current State: 94:[83, 11], Operations: ['79+4=83', '47-36=11']
Exploring Operation: 83+11=94, Resulting Numbers: [94]
94,94 equal: Goal Reached
| 4 |
[
44,
44,
66,
83
] | 26 | [
"83-44=39",
"44*39=1716",
"1716/66=26"
] | Current State: 26:[44, 44, 66, 83], Operations: []
Exploring Operation: 83-44=39, Resulting Numbers: [66, 39]
Generated Node #2: [66, 39] from Operation: 83-44=39
Current State: 26:[66, 39], Operations: ['83-44=39']
Exploring Operation: 44*39=1716, Resulting Numbers: [66, 1716]
Generated Node #3: [66, 1716] from Operation: 44*39=1716
Current State: 26:[66, 1716], Operations: ['83-44=39', '44*39=1716']
Exploring Operation: 1716/66=26, Resulting Numbers: [26]
26,26 equal: Goal Reached
| 4 |
[
72,
70,
16,
61
] | 24 | [
"70-61=9",
"72/9=8",
"16+8=24"
] | Current State: 24:[72, 70, 16, 61], Operations: []
Exploring Operation: 70-61=9, Resulting Numbers: [72, 16, 9]
Generated Node #2: [72, 16, 9] from Operation: 70-61=9
Current State: 24:[72, 16, 9], Operations: ['70-61=9']
Exploring Operation: 72/9=8, Resulting Numbers: [16, 8]
Generated Node #3: [16, 8] from Operation: 72/9=8
Current State: 24:[16, 8], Operations: ['70-61=9', '72/9=8']
Exploring Operation: 16+8=24, Resulting Numbers: [24]
24,24 equal: Goal Reached
| 4 |
[
91,
86,
41,
66
] | 20 | [
"91-86=5",
"66-41=25",
"25-5=20"
] | Current State: 20:[91, 86, 41, 66], Operations: []
Exploring Operation: 91-86=5, Resulting Numbers: [41, 66, 5]
Generated Node #2: [41, 66, 5] from Operation: 91-86=5
Current State: 20:[41, 66, 5], Operations: ['91-86=5']
Exploring Operation: 66-41=25, Resulting Numbers: [5, 25]
Generated Node #3: [5, 25] from Operation: 66-41=25
Current State: 20:[5, 25], Operations: ['91-86=5', '66-41=25']
Exploring Operation: 25-5=20, Resulting Numbers: [20]
20,20 equal: Goal Reached
| 4 |
[
60,
54,
12,
57
] | 90 | [
"60-57=3",
"12*3=36",
"54+36=90"
] | Current State: 90:[60, 54, 12, 57], Operations: []
Exploring Operation: 60-57=3, Resulting Numbers: [54, 12, 3]
Generated Node #2: [54, 12, 3] from Operation: 60-57=3
Current State: 90:[54, 12, 3], Operations: ['60-57=3']
Exploring Operation: 12*3=36, Resulting Numbers: [54, 36]
Generated Node #3: [54, 36] from Operation: 12*3=36
Current State: 90:[54, 36], Operations: ['60-57=3', '12*3=36']
Exploring Operation: 54+36=90, Resulting Numbers: [90]
90,90 equal: Goal Reached
| 4 |
[
57,
41,
8,
34
] | 68 | [
"57-41=16",
"16/8=2",
"34*2=68"
] | Current State: 68:[57, 41, 8, 34], Operations: []
Exploring Operation: 57-41=16, Resulting Numbers: [8, 34, 16]
Generated Node #2: [8, 34, 16] from Operation: 57-41=16
Current State: 68:[8, 34, 16], Operations: ['57-41=16']
Exploring Operation: 16/8=2, Resulting Numbers: [34, 2]
Generated Node #3: [34, 2] from Operation: 16/8=2
Current State: 68:[34, 2], Operations: ['57-41=16', '16/8=2']
Exploring Operation: 34*2=68, Resulting Numbers: [68]
68,68 equal: Goal Reached
| 4 |
[
2,
60,
78,
83
] | 13 | [
"2*78=156",
"60+83=143",
"156-143=13"
] | Current State: 13:[2, 60, 78, 83], Operations: []
Exploring Operation: 2*78=156, Resulting Numbers: [60, 83, 156]
Generated Node #2: [60, 83, 156] from Operation: 2*78=156
Current State: 13:[60, 83, 156], Operations: ['2*78=156']
Exploring Operation: 60+83=143, Resulting Numbers: [156, 143]
Generated Node #3: [156, 143] from Operation: 60+83=143
Current State: 13:[156, 143], Operations: ['2*78=156', '60+83=143']
Exploring Operation: 156-143=13, Resulting Numbers: [13]
13,13 equal: Goal Reached
| 4 |
[
92,
30,
29,
44
] | 77 | [
"92-30=62",
"44-29=15",
"62+15=77"
] | Current State: 77:[92, 30, 29, 44], Operations: []
Exploring Operation: 92-30=62, Resulting Numbers: [29, 44, 62]
Generated Node #2: [29, 44, 62] from Operation: 92-30=62
Current State: 77:[29, 44, 62], Operations: ['92-30=62']
Exploring Operation: 44-29=15, Resulting Numbers: [62, 15]
Generated Node #3: [62, 15] from Operation: 44-29=15
Current State: 77:[62, 15], Operations: ['92-30=62', '44-29=15']
Exploring Operation: 62+15=77, Resulting Numbers: [77]
77,77 equal: Goal Reached
| 4 |
[
45,
18,
51,
42
] | 13 | [
"51-42=9",
"45/9=5",
"18-5=13"
] | Current State: 13:[45, 18, 51, 42], Operations: []
Exploring Operation: 51-42=9, Resulting Numbers: [45, 18, 9]
Generated Node #2: [45, 18, 9] from Operation: 51-42=9
Current State: 13:[45, 18, 9], Operations: ['51-42=9']
Exploring Operation: 45/9=5, Resulting Numbers: [18, 5]
Generated Node #3: [18, 5] from Operation: 45/9=5
Current State: 13:[18, 5], Operations: ['51-42=9', '45/9=5']
Exploring Operation: 18-5=13, Resulting Numbers: [13]
13,13 equal: Goal Reached
| 4 |
[
55,
42,
16,
47
] | 40 | [
"55-47=8",
"16/8=2",
"42-2=40"
] | Current State: 40:[55, 42, 16, 47], Operations: []
Exploring Operation: 55-47=8, Resulting Numbers: [42, 16, 8]
Generated Node #2: [42, 16, 8] from Operation: 55-47=8
Current State: 40:[42, 16, 8], Operations: ['55-47=8']
Exploring Operation: 16/8=2, Resulting Numbers: [42, 2]
Generated Node #3: [42, 2] from Operation: 16/8=2
Current State: 40:[42, 2], Operations: ['55-47=8', '16/8=2']
Exploring Operation: 42-2=40, Resulting Numbers: [40]
40,40 equal: Goal Reached
| 4 |
[
72,
22,
90,
27
] | 33 | [
"90-72=18",
"22*27=594",
"594/18=33"
] | Current State: 33:[72, 22, 90, 27], Operations: []
Exploring Operation: 90-72=18, Resulting Numbers: [22, 27, 18]
Generated Node #2: [22, 27, 18] from Operation: 90-72=18
Current State: 33:[22, 27, 18], Operations: ['90-72=18']
Exploring Operation: 22*27=594, Resulting Numbers: [18, 594]
Generated Node #3: [18, 594] from Operation: 22*27=594
Current State: 33:[18, 594], Operations: ['90-72=18', '22*27=594']
Exploring Operation: 594/18=33, Resulting Numbers: [33]
33,33 equal: Goal Reached
| 4 |
[
73,
31,
43,
32
] | 62 | [
"73-43=30",
"32-30=2",
"31*2=62"
] | Current State: 62:[73, 31, 43, 32], Operations: []
Exploring Operation: 73-43=30, Resulting Numbers: [31, 32, 30]
Generated Node #2: [31, 32, 30] from Operation: 73-43=30
Current State: 62:[31, 32, 30], Operations: ['73-43=30']
Exploring Operation: 32-30=2, Resulting Numbers: [31, 2]
Generated Node #3: [31, 2] from Operation: 32-30=2
Current State: 62:[31, 2], Operations: ['73-43=30', '32-30=2']
Exploring Operation: 31*2=62, Resulting Numbers: [62]
62,62 equal: Goal Reached
| 4 |
[
43,
57,
87,
7
] | 94 | [
"57-43=14",
"87-7=80",
"14+80=94"
] | Current State: 94:[43, 57, 87, 7], Operations: []
Exploring Operation: 57-43=14, Resulting Numbers: [87, 7, 14]
Generated Node #2: [87, 7, 14] from Operation: 57-43=14
Current State: 94:[87, 7, 14], Operations: ['57-43=14']
Exploring Operation: 87-7=80, Resulting Numbers: [14, 80]
Generated Node #3: [14, 80] from Operation: 87-7=80
Current State: 94:[14, 80], Operations: ['57-43=14', '87-7=80']
Exploring Operation: 14+80=94, Resulting Numbers: [94]
94,94 equal: Goal Reached
| 4 |
[
24,
5,
22,
80
] | 33 | [
"24*5=120",
"22*120=2640",
"2640/80=33"
] | Current State: 33:[24, 5, 22, 80], Operations: []
Exploring Operation: 24*5=120, Resulting Numbers: [22, 80, 120]
Generated Node #2: [22, 80, 120] from Operation: 24*5=120
Current State: 33:[22, 80, 120], Operations: ['24*5=120']
Exploring Operation: 22*120=2640, Resulting Numbers: [80, 2640]
Generated Node #3: [80, 2640] from Operation: 22*120=2640
Current State: 33:[80, 2640], Operations: ['24*5=120', '22*120=2640']
Exploring Operation: 2640/80=33, Resulting Numbers: [33]
33,33 equal: Goal Reached
| 4 |
[
64,
80,
39,
9
] | 32 | [
"80-64=16",
"39+9=48",
"48-16=32"
] | Current State: 32:[64, 80, 39, 9], Operations: []
Exploring Operation: 80-64=16, Resulting Numbers: [39, 9, 16]
Generated Node #2: [39, 9, 16] from Operation: 80-64=16
Current State: 32:[39, 9, 16], Operations: ['80-64=16']
Exploring Operation: 39+9=48, Resulting Numbers: [16, 48]
Generated Node #3: [16, 48] from Operation: 39+9=48
Current State: 32:[16, 48], Operations: ['80-64=16', '39+9=48']
Exploring Operation: 48-16=32, Resulting Numbers: [32]
32,32 equal: Goal Reached
| 4 |
[
44,
70,
8,
28
] | 84 | [
"44*28=1232",
"1232/8=154",
"154-70=84"
] | Current State: 84:[44, 70, 8, 28], Operations: []
Exploring Operation: 44*28=1232, Resulting Numbers: [70, 8, 1232]
Generated Node #2: [70, 8, 1232] from Operation: 44*28=1232
Current State: 84:[70, 8, 1232], Operations: ['44*28=1232']
Exploring Operation: 1232/8=154, Resulting Numbers: [70, 154]
Generated Node #3: [70, 154] from Operation: 1232/8=154
Current State: 84:[70, 154], Operations: ['44*28=1232', '1232/8=154']
Exploring Operation: 154-70=84, Resulting Numbers: [84]
84,84 equal: Goal Reached
| 4 |
[
40,
55,
33,
60
] | 68 | [
"40+55=95",
"60-33=27",
"95-27=68"
] | Current State: 68:[40, 55, 33, 60], Operations: []
Exploring Operation: 40+55=95, Resulting Numbers: [33, 60, 95]
Generated Node #2: [33, 60, 95] from Operation: 40+55=95
Current State: 68:[33, 60, 95], Operations: ['40+55=95']
Exploring Operation: 60-33=27, Resulting Numbers: [95, 27]
Generated Node #3: [95, 27] from Operation: 60-33=27
Current State: 68:[95, 27], Operations: ['40+55=95', '60-33=27']
Exploring Operation: 95-27=68, Resulting Numbers: [68]
68,68 equal: Goal Reached
| 4 |
[
73,
78,
76,
20
] | 80 | [
"78-73=5",
"20/5=4",
"76+4=80"
] | Current State: 80:[73, 78, 76, 20], Operations: []
Exploring Operation: 78-73=5, Resulting Numbers: [76, 20, 5]
Generated Node #2: [76, 20, 5] from Operation: 78-73=5
Current State: 80:[76, 20, 5], Operations: ['78-73=5']
Exploring Operation: 20/5=4, Resulting Numbers: [76, 4]
Generated Node #3: [76, 4] from Operation: 20/5=4
Current State: 80:[76, 4], Operations: ['78-73=5', '20/5=4']
Exploring Operation: 76+4=80, Resulting Numbers: [80]
80,80 equal: Goal Reached
| 4 |
[
34,
88,
82,
63
] | 68 | [
"88+82=170",
"170/34=5",
"63+5=68"
] | Current State: 68:[34, 88, 82, 63], Operations: []
Exploring Operation: 88+82=170, Resulting Numbers: [34, 63, 170]
Generated Node #2: [34, 63, 170] from Operation: 88+82=170
Current State: 68:[34, 63, 170], Operations: ['88+82=170']
Exploring Operation: 170/34=5, Resulting Numbers: [63, 5]
Generated Node #3: [63, 5] from Operation: 170/34=5
Current State: 68:[63, 5], Operations: ['88+82=170', '170/34=5']
Exploring Operation: 63+5=68, Resulting Numbers: [68]
68,68 equal: Goal Reached
| 4 |
[
43,
9,
1,
11
] | 63 | [
"43+9=52",
"1*11=11",
"52+11=63"
] | Current State: 63:[43, 9, 1, 11], Operations: []
Exploring Operation: 43+9=52, Resulting Numbers: [1, 11, 52]
Generated Node #2: [1, 11, 52] from Operation: 43+9=52
Current State: 63:[1, 11, 52], Operations: ['43+9=52']
Exploring Operation: 1*11=11, Resulting Numbers: [52, 11]
Generated Node #3: [52, 11] from Operation: 1*11=11
Current State: 63:[52, 11], Operations: ['43+9=52', '1*11=11']
Exploring Operation: 52+11=63, Resulting Numbers: [63]
63,63 equal: Goal Reached
| 4 |
[
53,
53,
48,
6
] | 42 | [
"53-53=0",
"48-6=42",
"0+42=42"
] | Current State: 42:[53, 53, 48, 6], Operations: []
Exploring Operation: 53-53=0, Resulting Numbers: [48, 6, 0]
Generated Node #2: [48, 6, 0] from Operation: 53-53=0
Current State: 42:[48, 6, 0], Operations: ['53-53=0']
Exploring Operation: 48-6=42, Resulting Numbers: [0, 42]
Generated Node #3: [0, 42] from Operation: 48-6=42
Current State: 42:[0, 42], Operations: ['53-53=0', '48-6=42']
Exploring Operation: 0+42=42, Resulting Numbers: [42]
42,42 equal: Goal Reached
| 4 |
[
96,
84,
26,
6
] | 87 | [
"26+6=32",
"96/32=3",
"84+3=87"
] | Current State: 87:[96, 84, 26, 6], Operations: []
Exploring Operation: 26+6=32, Resulting Numbers: [96, 84, 32]
Generated Node #2: [96, 84, 32] from Operation: 26+6=32
Current State: 87:[96, 84, 32], Operations: ['26+6=32']
Exploring Operation: 96/32=3, Resulting Numbers: [84, 3]
Generated Node #3: [84, 3] from Operation: 96/32=3
Current State: 87:[84, 3], Operations: ['26+6=32', '96/32=3']
Exploring Operation: 84+3=87, Resulting Numbers: [87]
87,87 equal: Goal Reached
| 4 |
[
6,
49,
1,
66
] | 60 | [
"6*1=6",
"66/6=11",
"49+11=60"
] | Current State: 60:[6, 49, 1, 66], Operations: []
Exploring Operation: 6*1=6, Resulting Numbers: [49, 66, 6]
Generated Node #2: [49, 66, 6] from Operation: 6*1=6
Current State: 60:[49, 66, 6], Operations: ['6*1=6']
Exploring Operation: 66/6=11, Resulting Numbers: [49, 11]
Generated Node #3: [49, 11] from Operation: 66/6=11
Current State: 60:[49, 11], Operations: ['6*1=6', '66/6=11']
Exploring Operation: 49+11=60, Resulting Numbers: [60]
60,60 equal: Goal Reached
| 4 |
[
30,
27,
34,
75
] | 90 | [
"27+75=102",
"30*102=3060",
"3060/34=90"
] | Current State: 90:[30, 27, 34, 75], Operations: []
Exploring Operation: 27+75=102, Resulting Numbers: [30, 34, 102]
Generated Node #2: [30, 34, 102] from Operation: 27+75=102
Current State: 90:[30, 34, 102], Operations: ['27+75=102']
Exploring Operation: 30*102=3060, Resulting Numbers: [34, 3060]
Generated Node #3: [34, 3060] from Operation: 30*102=3060
Current State: 90:[34, 3060], Operations: ['27+75=102', '30*102=3060']
Exploring Operation: 3060/34=90, Resulting Numbers: [90]
90,90 equal: Goal Reached
| 4 |
[
10,
43,
93,
80
] | 40 | [
"10+43=53",
"93-80=13",
"53-13=40"
] | Current State: 40:[10, 43, 93, 80], Operations: []
Exploring Operation: 10+43=53, Resulting Numbers: [93, 80, 53]
Generated Node #2: [93, 80, 53] from Operation: 10+43=53
Current State: 40:[93, 80, 53], Operations: ['10+43=53']
Exploring Operation: 93-80=13, Resulting Numbers: [53, 13]
Generated Node #3: [53, 13] from Operation: 93-80=13
Current State: 40:[53, 13], Operations: ['10+43=53', '93-80=13']
Exploring Operation: 53-13=40, Resulting Numbers: [40]
40,40 equal: Goal Reached
| 4 |
[
17,
15,
88,
98
] | 12 | [
"17-15=2",
"98-88=10",
"2+10=12"
] | Current State: 12:[17, 15, 88, 98], Operations: []
Exploring Operation: 17-15=2, Resulting Numbers: [88, 98, 2]
Generated Node #2: [88, 98, 2] from Operation: 17-15=2
Current State: 12:[88, 98, 2], Operations: ['17-15=2']
Exploring Operation: 98-88=10, Resulting Numbers: [2, 10]
Generated Node #3: [2, 10] from Operation: 98-88=10
Current State: 12:[2, 10], Operations: ['17-15=2', '98-88=10']
Exploring Operation: 2+10=12, Resulting Numbers: [12]
12,12 equal: Goal Reached
| 4 |
[
88,
80,
83,
21
] | 85 | [
"88-80=8",
"21*8=168",
"168-83=85"
] | Current State: 85:[88, 80, 83, 21], Operations: []
Exploring Operation: 88-80=8, Resulting Numbers: [83, 21, 8]
Generated Node #2: [83, 21, 8] from Operation: 88-80=8
Current State: 85:[83, 21, 8], Operations: ['88-80=8']
Exploring Operation: 21*8=168, Resulting Numbers: [83, 168]
Generated Node #3: [83, 168] from Operation: 21*8=168
Current State: 85:[83, 168], Operations: ['88-80=8', '21*8=168']
Exploring Operation: 168-83=85, Resulting Numbers: [85]
85,85 equal: Goal Reached
| 4 |
[
58,
16,
20,
68
] | 40 | [
"68-58=10",
"20-16=4",
"10*4=40"
] | Current State: 40:[58, 16, 20, 68], Operations: []
Exploring Operation: 68-58=10, Resulting Numbers: [16, 20, 10]
Generated Node #2: [16, 20, 10] from Operation: 68-58=10
Current State: 40:[16, 20, 10], Operations: ['68-58=10']
Exploring Operation: 20-16=4, Resulting Numbers: [10, 4]
Generated Node #3: [10, 4] from Operation: 20-16=4
Current State: 40:[10, 4], Operations: ['68-58=10', '20-16=4']
Exploring Operation: 10*4=40, Resulting Numbers: [40]
40,40 equal: Goal Reached
| 4 |
[
6,
58,
54,
12
] | 13 | [
"58*12=696",
"6+696=702",
"702/54=13"
] | Current State: 13:[6, 58, 54, 12], Operations: []
Exploring Operation: 58*12=696, Resulting Numbers: [6, 54, 696]
Generated Node #2: [6, 54, 696] from Operation: 58*12=696
Current State: 13:[6, 54, 696], Operations: ['58*12=696']
Exploring Operation: 6+696=702, Resulting Numbers: [54, 702]
Generated Node #3: [54, 702] from Operation: 6+696=702
Current State: 13:[54, 702], Operations: ['58*12=696', '6+696=702']
Exploring Operation: 702/54=13, Resulting Numbers: [13]
13,13 equal: Goal Reached
| 4 |
[
5,
76,
78,
81
] | 79 | [
"5+76=81",
"81/81=1",
"78+1=79"
] | Current State: 79:[5, 76, 78, 81], Operations: []
Exploring Operation: 5+76=81, Resulting Numbers: [78, 81, 81]
Generated Node #2: [78, 81, 81] from Operation: 5+76=81
Current State: 79:[78, 81, 81], Operations: ['5+76=81']
Exploring Operation: 81/81=1, Resulting Numbers: [78, 1]
Generated Node #3: [78, 1] from Operation: 81/81=1
Current State: 79:[78, 1], Operations: ['5+76=81', '81/81=1']
Exploring Operation: 78+1=79, Resulting Numbers: [79]
79,79 equal: Goal Reached
| 4 |
[
70,
4,
91,
27
] | 52 | [
"70-4=66",
"91+27=118",
"118-66=52"
] | Current State: 52:[70, 4, 91, 27], Operations: []
Exploring Operation: 70-4=66, Resulting Numbers: [91, 27, 66]
Generated Node #2: [91, 27, 66] from Operation: 70-4=66
Current State: 52:[91, 27, 66], Operations: ['70-4=66']
Exploring Operation: 91+27=118, Resulting Numbers: [66, 118]
Generated Node #3: [66, 118] from Operation: 91+27=118
Current State: 52:[66, 118], Operations: ['70-4=66', '91+27=118']
Exploring Operation: 118-66=52, Resulting Numbers: [52]
52,52 equal: Goal Reached
| 4 |
[
42,
83,
41,
4
] | 39 | [
"42+83=125",
"41*4=164",
"164-125=39"
] | Current State: 39:[42, 83, 41, 4], Operations: []
Exploring Operation: 42+83=125, Resulting Numbers: [41, 4, 125]
Generated Node #2: [41, 4, 125] from Operation: 42+83=125
Current State: 39:[41, 4, 125], Operations: ['42+83=125']
Exploring Operation: 41*4=164, Resulting Numbers: [125, 164]
Generated Node #3: [125, 164] from Operation: 41*4=164
Current State: 39:[125, 164], Operations: ['42+83=125', '41*4=164']
Exploring Operation: 164-125=39, Resulting Numbers: [39]
39,39 equal: Goal Reached
| 4 |
[
67,
19,
69,
34
] | 51 | [
"67+19=86",
"69-34=35",
"86-35=51"
] | Current State: 51:[67, 19, 69, 34], Operations: []
Exploring Operation: 67+19=86, Resulting Numbers: [69, 34, 86]
Generated Node #2: [69, 34, 86] from Operation: 67+19=86
Current State: 51:[69, 34, 86], Operations: ['67+19=86']
Exploring Operation: 69-34=35, Resulting Numbers: [86, 35]
Generated Node #3: [86, 35] from Operation: 69-34=35
Current State: 51:[86, 35], Operations: ['67+19=86', '69-34=35']
Exploring Operation: 86-35=51, Resulting Numbers: [51]
51,51 equal: Goal Reached
| 4 |
[
9,
70,
46,
18
] | 93 | [
"9*46=414",
"414/18=23",
"70+23=93"
] | Current State: 93:[9, 70, 46, 18], Operations: []
Exploring Operation: 9*46=414, Resulting Numbers: [70, 18, 414]
Generated Node #2: [70, 18, 414] from Operation: 9*46=414
Current State: 93:[70, 18, 414], Operations: ['9*46=414']
Exploring Operation: 414/18=23, Resulting Numbers: [70, 23]
Generated Node #3: [70, 23] from Operation: 414/18=23
Current State: 93:[70, 23], Operations: ['9*46=414', '414/18=23']
Exploring Operation: 70+23=93, Resulting Numbers: [93]
93,93 equal: Goal Reached
| 4 |
[
12,
5,
9,
9
] | 96 | [
"12+9=21",
"5*21=105",
"105-9=96"
] | Current State: 96:[12, 5, 9, 9], Operations: []
Exploring Operation: 12+9=21, Resulting Numbers: [5, 21]
Generated Node #2: [5, 21] from Operation: 12+9=21
Current State: 96:[5, 21], Operations: ['12+9=21']
Exploring Operation: 5*21=105, Resulting Numbers: [105]
105,96 equal: Goal Reached
Exploring Operation: 105-9=96, Resulting Numbers: [96]
96,96 equal: Goal Reached
| 4 |
[
17,
21,
84,
8
] | 31 | [
"17*8=136",
"21+84=105",
"136-105=31"
] | Current State: 31:[17, 21, 84, 8], Operations: []
Exploring Operation: 17*8=136, Resulting Numbers: [21, 84, 136]
Generated Node #2: [21, 84, 136] from Operation: 17*8=136
Current State: 31:[21, 84, 136], Operations: ['17*8=136']
Exploring Operation: 21+84=105, Resulting Numbers: [136, 105]
Generated Node #3: [136, 105] from Operation: 21+84=105
Current State: 31:[136, 105], Operations: ['17*8=136', '21+84=105']
Exploring Operation: 136-105=31, Resulting Numbers: [31]
31,31 equal: Goal Reached
| 4 |
[
24,
19,
37,
2
] | 25 | [
"37-24=13",
"19*2=38",
"38-13=25"
] | Current State: 25:[24, 19, 37, 2], Operations: []
Exploring Operation: 37-24=13, Resulting Numbers: [19, 2, 13]
Generated Node #2: [19, 2, 13] from Operation: 37-24=13
Current State: 25:[19, 2, 13], Operations: ['37-24=13']
Exploring Operation: 19*2=38, Resulting Numbers: [13, 38]
Generated Node #3: [13, 38] from Operation: 19*2=38
Current State: 25:[13, 38], Operations: ['37-24=13', '19*2=38']
Exploring Operation: 38-13=25, Resulting Numbers: [25]
25,25 equal: Goal Reached
| 4 |
[
7,
25,
73,
62
] | 76 | [
"25+73=98",
"98/7=14",
"62+14=76"
] | Current State: 76:[7, 25, 73, 62], Operations: []
Exploring Operation: 25+73=98, Resulting Numbers: [7, 62, 98]
Generated Node #2: [7, 62, 98] from Operation: 25+73=98
Current State: 76:[7, 62, 98], Operations: ['25+73=98']
Exploring Operation: 98/7=14, Resulting Numbers: [62, 14]
Generated Node #3: [62, 14] from Operation: 98/7=14
Current State: 76:[62, 14], Operations: ['25+73=98', '98/7=14']
Exploring Operation: 62+14=76, Resulting Numbers: [76]
76,76 equal: Goal Reached
| 4 |
[
77,
47,
81,
56
] | 61 | [
"81-77=4",
"56/4=14",
"47+14=61"
] | Current State: 61:[77, 47, 81, 56], Operations: []
Exploring Operation: 81-77=4, Resulting Numbers: [47, 56, 4]
Generated Node #2: [47, 56, 4] from Operation: 81-77=4
Current State: 61:[47, 56, 4], Operations: ['81-77=4']
Exploring Operation: 56/4=14, Resulting Numbers: [47, 14]
Generated Node #3: [47, 14] from Operation: 56/4=14
Current State: 61:[47, 14], Operations: ['81-77=4', '56/4=14']
Exploring Operation: 47+14=61, Resulting Numbers: [61]
61,61 equal: Goal Reached
| 4 |
[
2,
34,
36,
96
] | 44 | [
"36/2=18",
"96-34=62",
"62-18=44"
] | Current State: 44:[2, 34, 36, 96], Operations: []
Exploring Operation: 36/2=18, Resulting Numbers: [34, 96, 18]
Generated Node #2: [34, 96, 18] from Operation: 36/2=18
Current State: 44:[34, 96, 18], Operations: ['36/2=18']
Exploring Operation: 96-34=62, Resulting Numbers: [18, 62]
Generated Node #3: [18, 62] from Operation: 96-34=62
Current State: 44:[18, 62], Operations: ['36/2=18', '96-34=62']
Exploring Operation: 62-18=44, Resulting Numbers: [44]
44,44 equal: Goal Reached
| 4 |
[
46,
23,
70,
50
] | 85 | [
"46/23=2",
"70/2=35",
"50+35=85"
] | Current State: 85:[46, 23, 70, 50], Operations: []
Exploring Operation: 46/23=2, Resulting Numbers: [70, 50, 2]
Generated Node #2: [70, 50, 2] from Operation: 46/23=2
Current State: 85:[70, 50, 2], Operations: ['46/23=2']
Exploring Operation: 70/2=35, Resulting Numbers: [50, 35]
Generated Node #3: [50, 35] from Operation: 70/2=35
Current State: 85:[50, 35], Operations: ['46/23=2', '70/2=35']
Exploring Operation: 50+35=85, Resulting Numbers: [85]
85,85 equal: Goal Reached
| 4 |
[
28,
54,
78,
78
] | 83 | [
"28+54=82",
"78/78=1",
"82+1=83"
] | Current State: 83:[28, 54, 78, 78], Operations: []
Exploring Operation: 28+54=82, Resulting Numbers: [78, 78, 82]
Generated Node #2: [78, 78, 82] from Operation: 28+54=82
Current State: 83:[78, 78, 82], Operations: ['28+54=82']
Exploring Operation: 78/78=1, Resulting Numbers: [82, 1]
Generated Node #3: [82, 1] from Operation: 78/78=1
Current State: 83:[82, 1], Operations: ['28+54=82', '78/78=1']
Exploring Operation: 82+1=83, Resulting Numbers: [83]
83,83 equal: Goal Reached
| 4 |
[
50,
29,
91,
27
] | 97 | [
"50-29=21",
"91+27=118",
"118-21=97"
] | Current State: 97:[50, 29, 91, 27], Operations: []
Exploring Operation: 50-29=21, Resulting Numbers: [91, 27, 21]
Generated Node #2: [91, 27, 21] from Operation: 50-29=21
Current State: 97:[91, 27, 21], Operations: ['50-29=21']
Exploring Operation: 91+27=118, Resulting Numbers: [21, 118]
Generated Node #3: [21, 118] from Operation: 91+27=118
Current State: 97:[21, 118], Operations: ['50-29=21', '91+27=118']
Exploring Operation: 118-21=97, Resulting Numbers: [97]
97,97 equal: Goal Reached
| 4 |
[
47,
9,
82,
71
] | 94 | [
"82-9=73",
"73-71=2",
"47*2=94"
] | Current State: 94:[47, 9, 82, 71], Operations: []
Exploring Operation: 82-9=73, Resulting Numbers: [47, 71, 73]
Generated Node #2: [47, 71, 73] from Operation: 82-9=73
Current State: 94:[47, 71, 73], Operations: ['82-9=73']
Exploring Operation: 73-71=2, Resulting Numbers: [47, 2]
Generated Node #3: [47, 2] from Operation: 73-71=2
Current State: 94:[47, 2], Operations: ['82-9=73', '73-71=2']
Exploring Operation: 47*2=94, Resulting Numbers: [94]
94,94 equal: Goal Reached
| 4 |
[
99,
84,
46,
97
] | 61 | [
"99-97=2",
"46/2=23",
"84-23=61"
] | Current State: 61:[99, 84, 46, 97], Operations: []
Exploring Operation: 99-97=2, Resulting Numbers: [84, 46, 2]
Generated Node #2: [84, 46, 2] from Operation: 99-97=2
Current State: 61:[84, 46, 2], Operations: ['99-97=2']
Exploring Operation: 46/2=23, Resulting Numbers: [84, 23]
Generated Node #3: [84, 23] from Operation: 46/2=23
Current State: 61:[84, 23], Operations: ['99-97=2', '46/2=23']
Exploring Operation: 84-23=61, Resulting Numbers: [61]
61,61 equal: Goal Reached
| 4 |
[
31,
19,
28,
34
] | 50 | [
"31-19=12",
"28+34=62",
"62-12=50"
] | Current State: 50:[31, 19, 28, 34], Operations: []
Exploring Operation: 31-19=12, Resulting Numbers: [28, 34, 12]
Generated Node #2: [28, 34, 12] from Operation: 31-19=12
Current State: 50:[28, 34, 12], Operations: ['31-19=12']
Exploring Operation: 28+34=62, Resulting Numbers: [12, 62]
Generated Node #3: [12, 62] from Operation: 28+34=62
Current State: 50:[12, 62], Operations: ['31-19=12', '28+34=62']
Exploring Operation: 62-12=50, Resulting Numbers: [50]
50,50 equal: Goal Reached
| 4 |
[
9,
26,
4,
42
] | 98 | [
"9+26=35",
"4*35=140",
"140-42=98"
] | Current State: 98:[9, 26, 4, 42], Operations: []
Exploring Operation: 9+26=35, Resulting Numbers: [4, 42, 35]
Generated Node #2: [4, 42, 35] from Operation: 9+26=35
Current State: 98:[4, 42, 35], Operations: ['9+26=35']
Exploring Operation: 4*35=140, Resulting Numbers: [42, 140]
Generated Node #3: [42, 140] from Operation: 4*35=140
Current State: 98:[42, 140], Operations: ['9+26=35', '4*35=140']
Exploring Operation: 140-42=98, Resulting Numbers: [98]
98,98 equal: Goal Reached
| 4 |
[
45,
57,
72,
46
] | 49 | [
"72-57=15",
"45/15=3",
"46+3=49"
] | Current State: 49:[45, 57, 72, 46], Operations: []
Exploring Operation: 72-57=15, Resulting Numbers: [45, 46, 15]
Generated Node #2: [45, 46, 15] from Operation: 72-57=15
Current State: 49:[45, 46, 15], Operations: ['72-57=15']
Exploring Operation: 45/15=3, Resulting Numbers: [46, 3]
Generated Node #3: [46, 3] from Operation: 45/15=3
Current State: 49:[46, 3], Operations: ['72-57=15', '45/15=3']
Exploring Operation: 46+3=49, Resulting Numbers: [49]
49,49 equal: Goal Reached
| 4 |
[
77,
72,
85,
40
] | 50 | [
"77-72=5",
"85-40=45",
"5+45=50"
] | Current State: 50:[77, 72, 85, 40], Operations: []
Exploring Operation: 77-72=5, Resulting Numbers: [85, 40, 5]
Generated Node #2: [85, 40, 5] from Operation: 77-72=5
Current State: 50:[85, 40, 5], Operations: ['77-72=5']
Exploring Operation: 85-40=45, Resulting Numbers: [5, 45]
Generated Node #3: [5, 45] from Operation: 85-40=45
Current State: 50:[5, 45], Operations: ['77-72=5', '85-40=45']
Exploring Operation: 5+45=50, Resulting Numbers: [50]
50,50 equal: Goal Reached
| 4 |
[
61,
4,
3,
32
] | 28 | [
"61-4=57",
"32-3=29",
"57-29=28"
] | Current State: 28:[61, 4, 3, 32], Operations: []
Exploring Operation: 61-4=57, Resulting Numbers: [3, 32, 57]
Generated Node #2: [3, 32, 57] from Operation: 61-4=57
Current State: 28:[3, 32, 57], Operations: ['61-4=57']
Exploring Operation: 32-3=29, Resulting Numbers: [57, 29]
Generated Node #3: [57, 29] from Operation: 32-3=29
Current State: 28:[57, 29], Operations: ['61-4=57', '32-3=29']
Exploring Operation: 57-29=28, Resulting Numbers: [28]
28,28 equal: Goal Reached
| 4 |
[
9,
6,
11,
32
] | 73 | [
"9*11=99",
"32-6=26",
"99-26=73"
] | Current State: 73:[9, 6, 11, 32], Operations: []
Exploring Operation: 9*11=99, Resulting Numbers: [6, 32, 99]
Generated Node #2: [6, 32, 99] from Operation: 9*11=99
Current State: 73:[6, 32, 99], Operations: ['9*11=99']
Exploring Operation: 32-6=26, Resulting Numbers: [99, 26]
Generated Node #3: [99, 26] from Operation: 32-6=26
Current State: 73:[99, 26], Operations: ['9*11=99', '32-6=26']
Exploring Operation: 99-26=73, Resulting Numbers: [73]
73,73 equal: Goal Reached
| 4 |
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