nums listlengths 4 4 | target int64 10 100 | solution listlengths 3 3 | optimal_path stringlengths 282 529 | start_size int64 4 4 |
|---|---|---|---|---|
[
5,
92,
70,
12
] | 50 | [
"92-70=22",
"22-12=10",
"5*10=50"
] | Current State: 50:[5, 92, 70, 12], Operations: []
Exploring Operation: 92-70=22, Resulting Numbers: [5, 12, 22]
Generated Node #2: [5, 12, 22] from Operation: 92-70=22
Current State: 50:[5, 12, 22], Operations: ['92-70=22']
Exploring Operation: 22-12=10, Resulting Numbers: [5, 10]
Generated Node #3: [5, 10] from Operation: 22-12=10
Current State: 50:[5, 10], Operations: ['92-70=22', '22-12=10']
Exploring Operation: 5*10=50, Resulting Numbers: [50]
50,50 equal: Goal Reached
| 4 |
[
6,
75,
38,
8
] | 70 | [
"38-8=30",
"30/6=5",
"75-5=70"
] | Current State: 70:[6, 75, 38, 8], Operations: []
Exploring Operation: 38-8=30, Resulting Numbers: [6, 75, 30]
Generated Node #2: [6, 75, 30] from Operation: 38-8=30
Current State: 70:[6, 75, 30], Operations: ['38-8=30']
Exploring Operation: 30/6=5, Resulting Numbers: [75, 5]
Generated Node #3: [75, 5] from Operation: 30/6=5
Current State: 70:[75, 5], Operations: ['38-8=30', '30/6=5']
Exploring Operation: 75-5=70, Resulting Numbers: [70]
70,70 equal: Goal Reached
| 4 |
[
63,
71,
8,
63
] | 71 | [
"63-63=0",
"8*0=0",
"71+0=71"
] | Current State: 71:[63, 71, 8, 63], Operations: []
Exploring Operation: 63-63=0, Resulting Numbers: [71, 8, 0]
Generated Node #2: [71, 8, 0] from Operation: 63-63=0
Current State: 71:[71, 8, 0], Operations: ['63-63=0']
Exploring Operation: 8*0=0, Resulting Numbers: [71, 0]
Generated Node #3: [71, 0] from Operation: 8*0=0
Current State: 71:[71, 0], Operations: ['63-63=0', '8*0=0']
Exploring Operation: 71+0=71, Resulting Numbers: [71]
71,71 equal: Goal Reached
| 4 |
[
5,
6,
28,
23
] | 53 | [
"5*23=115",
"6*28=168",
"168-115=53"
] | Current State: 53:[5, 6, 28, 23], Operations: []
Exploring Operation: 5*23=115, Resulting Numbers: [6, 28, 115]
Generated Node #2: [6, 28, 115] from Operation: 5*23=115
Current State: 53:[6, 28, 115], Operations: ['5*23=115']
Exploring Operation: 6*28=168, Resulting Numbers: [115, 168]
Generated Node #3: [115, 168] from Operation: 6*28=168
Current State: 53:[115, 168], Operations: ['5*23=115', '6*28=168']
Exploring Operation: 168-115=53, Resulting Numbers: [53]
53,53 equal: Goal Reached
| 4 |
[
35,
5,
62,
3
] | 22 | [
"62+3=65",
"65/5=13",
"35-13=22"
] | Current State: 22:[35, 5, 62, 3], Operations: []
Exploring Operation: 62+3=65, Resulting Numbers: [35, 5, 65]
Generated Node #2: [35, 5, 65] from Operation: 62+3=65
Current State: 22:[35, 5, 65], Operations: ['62+3=65']
Exploring Operation: 65/5=13, Resulting Numbers: [35, 13]
Generated Node #3: [35, 13] from Operation: 65/5=13
Current State: 22:[35, 13], Operations: ['62+3=65', '65/5=13']
Exploring Operation: 35-13=22, Resulting Numbers: [22]
22,22 equal: Goal Reached
| 4 |
[
10,
59,
24,
7
] | 31 | [
"59-10=49",
"49/7=7",
"24+7=31"
] | Current State: 31:[10, 59, 24, 7], Operations: []
Exploring Operation: 59-10=49, Resulting Numbers: [24, 7, 49]
Generated Node #2: [24, 7, 49] from Operation: 59-10=49
Current State: 31:[24, 7, 49], Operations: ['59-10=49']
Exploring Operation: 49/7=7, Resulting Numbers: [24, 7]
Generated Node #3: [24, 7] from Operation: 49/7=7
Current State: 31:[24, 7], Operations: ['59-10=49', '49/7=7']
Exploring Operation: 24+7=31, Resulting Numbers: [31]
31,31 equal: Goal Reached
| 4 |
[
83,
20,
79,
9
] | 89 | [
"83-79=4",
"20*4=80",
"9+80=89"
] | Current State: 89:[83, 20, 79, 9], Operations: []
Exploring Operation: 83-79=4, Resulting Numbers: [20, 9, 4]
Generated Node #2: [20, 9, 4] from Operation: 83-79=4
Current State: 89:[20, 9, 4], Operations: ['83-79=4']
Exploring Operation: 20*4=80, Resulting Numbers: [9, 80]
Generated Node #3: [9, 80] from Operation: 20*4=80
Current State: 89:[9, 80], Operations: ['83-79=4', '20*4=80']
Exploring Operation: 9+80=89, Resulting Numbers: [89]
89,89 equal: Goal Reached
| 4 |
[
78,
39,
85,
30
] | 76 | [
"78-39=39",
"85+30=115",
"115-39=76"
] | Current State: 76:[78, 39, 85, 30], Operations: []
Exploring Operation: 78-39=39, Resulting Numbers: [85, 30, 39]
Generated Node #2: [85, 30, 39] from Operation: 78-39=39
Current State: 76:[85, 30, 39], Operations: ['78-39=39']
Exploring Operation: 85+30=115, Resulting Numbers: [39, 115]
Generated Node #3: [39, 115] from Operation: 85+30=115
Current State: 76:[39, 115], Operations: ['78-39=39', '85+30=115']
Exploring Operation: 115-39=76, Resulting Numbers: [76]
76,76 equal: Goal Reached
| 4 |
[
63,
53,
53,
62
] | 19 | [
"63-53=10",
"62-53=9",
"10+9=19"
] | Current State: 19:[63, 53, 53, 62], Operations: []
Exploring Operation: 63-53=10, Resulting Numbers: [62, 10]
Generated Node #2: [62, 10] from Operation: 63-53=10
Current State: 19:[62, 10], Operations: ['63-53=10']
Exploring Operation: 62-53=9, Resulting Numbers: [10, 9]
Generated Node #3: [10, 9] from Operation: 62-53=9
Current State: 19:[10, 9], Operations: ['63-53=10', '62-53=9']
Exploring Operation: 10+9=19, Resulting Numbers: [19]
19,19 equal: Goal Reached
| 4 |
[
98,
70,
61,
53
] | 84 | [
"98*53=5194",
"5194-70=5124",
"5124/61=84"
] | Current State: 84:[98, 70, 61, 53], Operations: []
Exploring Operation: 98*53=5194, Resulting Numbers: [70, 61, 5194]
Generated Node #2: [70, 61, 5194] from Operation: 98*53=5194
Current State: 84:[70, 61, 5194], Operations: ['98*53=5194']
Exploring Operation: 5194-70=5124, Resulting Numbers: [61, 5124]
Generated Node #3: [61, 5124] from Operation: 5194-70=5124
Current State: 84:[61, 5124], Operations: ['98*53=5194', '5194-70=5124']
Exploring Operation: 5124/61=84, Resulting Numbers: [84]
84,84 equal: Goal Reached
| 4 |
[
27,
88,
56,
68
] | 73 | [
"88-27=61",
"68-56=12",
"61+12=73"
] | Current State: 73:[27, 88, 56, 68], Operations: []
Exploring Operation: 88-27=61, Resulting Numbers: [56, 68, 61]
Generated Node #2: [56, 68, 61] from Operation: 88-27=61
Current State: 73:[56, 68, 61], Operations: ['88-27=61']
Exploring Operation: 68-56=12, Resulting Numbers: [61, 12]
Generated Node #3: [61, 12] from Operation: 68-56=12
Current State: 73:[61, 12], Operations: ['88-27=61', '68-56=12']
Exploring Operation: 61+12=73, Resulting Numbers: [73]
73,73 equal: Goal Reached
| 4 |
[
76,
81,
15,
63
] | 73 | [
"81-76=5",
"15+63=78",
"78-5=73"
] | Current State: 73:[76, 81, 15, 63], Operations: []
Exploring Operation: 81-76=5, Resulting Numbers: [15, 63, 5]
Generated Node #2: [15, 63, 5] from Operation: 81-76=5
Current State: 73:[15, 63, 5], Operations: ['81-76=5']
Exploring Operation: 15+63=78, Resulting Numbers: [5, 78]
Generated Node #3: [5, 78] from Operation: 15+63=78
Current State: 73:[5, 78], Operations: ['81-76=5', '15+63=78']
Exploring Operation: 78-5=73, Resulting Numbers: [73]
73,73 equal: Goal Reached
| 4 |
[
28,
6,
86,
8
] | 71 | [
"8-6=2",
"86/2=43",
"28+43=71"
] | Current State: 71:[28, 6, 86, 8], Operations: []
Exploring Operation: 8-6=2, Resulting Numbers: [28, 86, 2]
Generated Node #2: [28, 86, 2] from Operation: 8-6=2
Current State: 71:[28, 86, 2], Operations: ['8-6=2']
Exploring Operation: 86/2=43, Resulting Numbers: [28, 43]
Generated Node #3: [28, 43] from Operation: 86/2=43
Current State: 71:[28, 43], Operations: ['8-6=2', '86/2=43']
Exploring Operation: 28+43=71, Resulting Numbers: [71]
71,71 equal: Goal Reached
| 4 |
[
5,
43,
91,
99
] | 81 | [
"91+99=190",
"190/5=38",
"43+38=81"
] | Current State: 81:[5, 43, 91, 99], Operations: []
Exploring Operation: 91+99=190, Resulting Numbers: [5, 43, 190]
Generated Node #2: [5, 43, 190] from Operation: 91+99=190
Current State: 81:[5, 43, 190], Operations: ['91+99=190']
Exploring Operation: 190/5=38, Resulting Numbers: [43, 38]
Generated Node #3: [43, 38] from Operation: 190/5=38
Current State: 81:[43, 38], Operations: ['91+99=190', '190/5=38']
Exploring Operation: 43+38=81, Resulting Numbers: [81]
81,81 equal: Goal Reached
| 4 |
[
97,
6,
25,
44
] | 34 | [
"97+6=103",
"25+44=69",
"103-69=34"
] | Current State: 34:[97, 6, 25, 44], Operations: []
Exploring Operation: 97+6=103, Resulting Numbers: [25, 44, 103]
Generated Node #2: [25, 44, 103] from Operation: 97+6=103
Current State: 34:[25, 44, 103], Operations: ['97+6=103']
Exploring Operation: 25+44=69, Resulting Numbers: [103, 69]
Generated Node #3: [103, 69] from Operation: 25+44=69
Current State: 34:[103, 69], Operations: ['97+6=103', '25+44=69']
Exploring Operation: 103-69=34, Resulting Numbers: [34]
34,34 equal: Goal Reached
| 4 |
[
68,
32,
69,
9
] | 40 | [
"68+32=100",
"69-9=60",
"100-60=40"
] | Current State: 40:[68, 32, 69, 9], Operations: []
Exploring Operation: 68+32=100, Resulting Numbers: [69, 9, 100]
Generated Node #2: [69, 9, 100] from Operation: 68+32=100
Current State: 40:[69, 9, 100], Operations: ['68+32=100']
Exploring Operation: 69-9=60, Resulting Numbers: [100, 60]
Generated Node #3: [100, 60] from Operation: 69-9=60
Current State: 40:[100, 60], Operations: ['68+32=100', '69-9=60']
Exploring Operation: 100-60=40, Resulting Numbers: [40]
40,40 equal: Goal Reached
| 4 |
[
3,
69,
1,
88
] | 91 | [
"3+1=4",
"88/4=22",
"69+22=91"
] | Current State: 91:[3, 69, 1, 88], Operations: []
Exploring Operation: 3+1=4, Resulting Numbers: [69, 88, 4]
Generated Node #2: [69, 88, 4] from Operation: 3+1=4
Current State: 91:[69, 88, 4], Operations: ['3+1=4']
Exploring Operation: 88/4=22, Resulting Numbers: [69, 22]
Generated Node #3: [69, 22] from Operation: 88/4=22
Current State: 91:[69, 22], Operations: ['3+1=4', '88/4=22']
Exploring Operation: 69+22=91, Resulting Numbers: [91]
91,91 equal: Goal Reached
| 4 |
[
5,
72,
72,
76
] | 92 | [
"76-72=4",
"5*4=20",
"72+20=92"
] | Current State: 92:[5, 72, 72, 76], Operations: []
Exploring Operation: 76-72=4, Resulting Numbers: [5, 4]
Generated Node #2: [5, 4] from Operation: 76-72=4
Current State: 92:[5, 4], Operations: ['76-72=4']
Exploring Operation: 5*4=20, Resulting Numbers: [20]
20,92 equal: Goal Reached
Exploring Operation: 72+20=92, Resulting Numbers: [92]
92,92 equal: Goal Reached
| 4 |
[
58,
52,
39,
61
] | 39 | [
"61-58=3",
"52-39=13",
"3*13=39"
] | Current State: 39:[58, 52, 39, 61], Operations: []
Exploring Operation: 61-58=3, Resulting Numbers: [52, 39, 3]
Generated Node #2: [52, 39, 3] from Operation: 61-58=3
Current State: 39:[52, 39, 3], Operations: ['61-58=3']
Exploring Operation: 52-39=13, Resulting Numbers: [3, 13]
Generated Node #3: [3, 13] from Operation: 52-39=13
Current State: 39:[3, 13], Operations: ['61-58=3', '52-39=13']
Exploring Operation: 3*13=39, Resulting Numbers: [39]
39,39 equal: Goal Reached
| 4 |
[
74,
12,
86,
5
] | 19 | [
"74-12=62",
"86-5=81",
"81-62=19"
] | Current State: 19:[74, 12, 86, 5], Operations: []
Exploring Operation: 74-12=62, Resulting Numbers: [86, 5, 62]
Generated Node #2: [86, 5, 62] from Operation: 74-12=62
Current State: 19:[86, 5, 62], Operations: ['74-12=62']
Exploring Operation: 86-5=81, Resulting Numbers: [62, 81]
Generated Node #3: [62, 81] from Operation: 86-5=81
Current State: 19:[62, 81], Operations: ['74-12=62', '86-5=81']
Exploring Operation: 81-62=19, Resulting Numbers: [19]
19,19 equal: Goal Reached
| 4 |
[
49,
90,
3,
73
] | 18 | [
"73-49=24",
"3*24=72",
"90-72=18"
] | Current State: 18:[49, 90, 3, 73], Operations: []
Exploring Operation: 73-49=24, Resulting Numbers: [90, 3, 24]
Generated Node #2: [90, 3, 24] from Operation: 73-49=24
Current State: 18:[90, 3, 24], Operations: ['73-49=24']
Exploring Operation: 3*24=72, Resulting Numbers: [90, 72]
Generated Node #3: [90, 72] from Operation: 3*24=72
Current State: 18:[90, 72], Operations: ['73-49=24', '3*24=72']
Exploring Operation: 90-72=18, Resulting Numbers: [18]
18,18 equal: Goal Reached
| 4 |
[
45,
32,
89,
87
] | 99 | [
"45+32=77",
"89+87=176",
"176-77=99"
] | Current State: 99:[45, 32, 89, 87], Operations: []
Exploring Operation: 45+32=77, Resulting Numbers: [89, 87, 77]
Generated Node #2: [89, 87, 77] from Operation: 45+32=77
Current State: 99:[89, 87, 77], Operations: ['45+32=77']
Exploring Operation: 89+87=176, Resulting Numbers: [77, 176]
Generated Node #3: [77, 176] from Operation: 89+87=176
Current State: 99:[77, 176], Operations: ['45+32=77', '89+87=176']
Exploring Operation: 176-77=99, Resulting Numbers: [99]
99,99 equal: Goal Reached
| 4 |
[
70,
90,
72,
43
] | 45 | [
"70+90=160",
"72+43=115",
"160-115=45"
] | Current State: 45:[70, 90, 72, 43], Operations: []
Exploring Operation: 70+90=160, Resulting Numbers: [72, 43, 160]
Generated Node #2: [72, 43, 160] from Operation: 70+90=160
Current State: 45:[72, 43, 160], Operations: ['70+90=160']
Exploring Operation: 72+43=115, Resulting Numbers: [160, 115]
Generated Node #3: [160, 115] from Operation: 72+43=115
Current State: 45:[160, 115], Operations: ['70+90=160', '72+43=115']
Exploring Operation: 160-115=45, Resulting Numbers: [45]
45,45 equal: Goal Reached
| 4 |
[
13,
41,
53,
42
] | 65 | [
"13+41=54",
"53-42=11",
"54+11=65"
] | Current State: 65:[13, 41, 53, 42], Operations: []
Exploring Operation: 13+41=54, Resulting Numbers: [53, 42, 54]
Generated Node #2: [53, 42, 54] from Operation: 13+41=54
Current State: 65:[53, 42, 54], Operations: ['13+41=54']
Exploring Operation: 53-42=11, Resulting Numbers: [54, 11]
Generated Node #3: [54, 11] from Operation: 53-42=11
Current State: 65:[54, 11], Operations: ['13+41=54', '53-42=11']
Exploring Operation: 54+11=65, Resulting Numbers: [65]
65,65 equal: Goal Reached
| 4 |
[
27,
78,
19,
20
] | 66 | [
"27+78=105",
"19+20=39",
"105-39=66"
] | Current State: 66:[27, 78, 19, 20], Operations: []
Exploring Operation: 27+78=105, Resulting Numbers: [19, 20, 105]
Generated Node #2: [19, 20, 105] from Operation: 27+78=105
Current State: 66:[19, 20, 105], Operations: ['27+78=105']
Exploring Operation: 19+20=39, Resulting Numbers: [105, 39]
Generated Node #3: [105, 39] from Operation: 19+20=39
Current State: 66:[105, 39], Operations: ['27+78=105', '19+20=39']
Exploring Operation: 105-39=66, Resulting Numbers: [66]
66,66 equal: Goal Reached
| 4 |
[
75,
62,
81,
11
] | 79 | [
"75-62=13",
"81+11=92",
"92-13=79"
] | Current State: 79:[75, 62, 81, 11], Operations: []
Exploring Operation: 75-62=13, Resulting Numbers: [81, 11, 13]
Generated Node #2: [81, 11, 13] from Operation: 75-62=13
Current State: 79:[81, 11, 13], Operations: ['75-62=13']
Exploring Operation: 81+11=92, Resulting Numbers: [13, 92]
Generated Node #3: [13, 92] from Operation: 81+11=92
Current State: 79:[13, 92], Operations: ['75-62=13', '81+11=92']
Exploring Operation: 92-13=79, Resulting Numbers: [79]
79,79 equal: Goal Reached
| 4 |
[
9,
27,
75,
87
] | 48 | [
"9+27=36",
"87-75=12",
"36+12=48"
] | Current State: 48:[9, 27, 75, 87], Operations: []
Exploring Operation: 9+27=36, Resulting Numbers: [75, 87, 36]
Generated Node #2: [75, 87, 36] from Operation: 9+27=36
Current State: 48:[75, 87, 36], Operations: ['9+27=36']
Exploring Operation: 87-75=12, Resulting Numbers: [36, 12]
Generated Node #3: [36, 12] from Operation: 87-75=12
Current State: 48:[36, 12], Operations: ['9+27=36', '87-75=12']
Exploring Operation: 36+12=48, Resulting Numbers: [48]
48,48 equal: Goal Reached
| 4 |
[
12,
42,
79,
81
] | 60 | [
"42-12=30",
"81-79=2",
"30*2=60"
] | Current State: 60:[12, 42, 79, 81], Operations: []
Exploring Operation: 42-12=30, Resulting Numbers: [79, 81, 30]
Generated Node #2: [79, 81, 30] from Operation: 42-12=30
Current State: 60:[79, 81, 30], Operations: ['42-12=30']
Exploring Operation: 81-79=2, Resulting Numbers: [30, 2]
Generated Node #3: [30, 2] from Operation: 81-79=2
Current State: 60:[30, 2], Operations: ['42-12=30', '81-79=2']
Exploring Operation: 30*2=60, Resulting Numbers: [60]
60,60 equal: Goal Reached
| 4 |
[
49,
52,
1,
30
] | 70 | [
"49+52=101",
"1+30=31",
"101-31=70"
] | Current State: 70:[49, 52, 1, 30], Operations: []
Exploring Operation: 49+52=101, Resulting Numbers: [1, 30, 101]
Generated Node #2: [1, 30, 101] from Operation: 49+52=101
Current State: 70:[1, 30, 101], Operations: ['49+52=101']
Exploring Operation: 1+30=31, Resulting Numbers: [101, 31]
Generated Node #3: [101, 31] from Operation: 1+30=31
Current State: 70:[101, 31], Operations: ['49+52=101', '1+30=31']
Exploring Operation: 101-31=70, Resulting Numbers: [70]
70,70 equal: Goal Reached
| 4 |
[
24,
2,
55,
31
] | 55 | [
"24+55=79",
"31+79=110",
"110/2=55"
] | Current State: 55:[24, 2, 55, 31], Operations: []
Exploring Operation: 24+55=79, Resulting Numbers: [2, 31, 79]
Generated Node #2: [2, 31, 79] from Operation: 24+55=79
Current State: 55:[2, 31, 79], Operations: ['24+55=79']
Exploring Operation: 31+79=110, Resulting Numbers: [2, 110]
Generated Node #3: [2, 110] from Operation: 31+79=110
Current State: 55:[2, 110], Operations: ['24+55=79', '31+79=110']
Exploring Operation: 110/2=55, Resulting Numbers: [55]
55,55 equal: Goal Reached
| 4 |
[
60,
25,
44,
8
] | 33 | [
"60+25=85",
"44+8=52",
"85-52=33"
] | Current State: 33:[60, 25, 44, 8], Operations: []
Exploring Operation: 60+25=85, Resulting Numbers: [44, 8, 85]
Generated Node #2: [44, 8, 85] from Operation: 60+25=85
Current State: 33:[44, 8, 85], Operations: ['60+25=85']
Exploring Operation: 44+8=52, Resulting Numbers: [85, 52]
Generated Node #3: [85, 52] from Operation: 44+8=52
Current State: 33:[85, 52], Operations: ['60+25=85', '44+8=52']
Exploring Operation: 85-52=33, Resulting Numbers: [33]
33,33 equal: Goal Reached
| 4 |
[
71,
1,
2,
44
] | 80 | [
"71+1=72",
"72/2=36",
"44+36=80"
] | Current State: 80:[71, 1, 2, 44], Operations: []
Exploring Operation: 71+1=72, Resulting Numbers: [2, 44, 72]
Generated Node #2: [2, 44, 72] from Operation: 71+1=72
Current State: 80:[2, 44, 72], Operations: ['71+1=72']
Exploring Operation: 72/2=36, Resulting Numbers: [44, 36]
Generated Node #3: [44, 36] from Operation: 72/2=36
Current State: 80:[44, 36], Operations: ['71+1=72', '72/2=36']
Exploring Operation: 44+36=80, Resulting Numbers: [80]
80,80 equal: Goal Reached
| 4 |
[
20,
53,
9,
7
] | 93 | [
"9-7=2",
"20*2=40",
"53+40=93"
] | Current State: 93:[20, 53, 9, 7], Operations: []
Exploring Operation: 9-7=2, Resulting Numbers: [20, 53, 2]
Generated Node #2: [20, 53, 2] from Operation: 9-7=2
Current State: 93:[20, 53, 2], Operations: ['9-7=2']
Exploring Operation: 20*2=40, Resulting Numbers: [53, 40]
Generated Node #3: [53, 40] from Operation: 20*2=40
Current State: 93:[53, 40], Operations: ['9-7=2', '20*2=40']
Exploring Operation: 53+40=93, Resulting Numbers: [93]
93,93 equal: Goal Reached
| 4 |
[
16,
60,
5,
37
] | 57 | [
"16*5=80",
"60-37=23",
"80-23=57"
] | Current State: 57:[16, 60, 5, 37], Operations: []
Exploring Operation: 16*5=80, Resulting Numbers: [60, 37, 80]
Generated Node #2: [60, 37, 80] from Operation: 16*5=80
Current State: 57:[60, 37, 80], Operations: ['16*5=80']
Exploring Operation: 60-37=23, Resulting Numbers: [80, 23]
Generated Node #3: [80, 23] from Operation: 60-37=23
Current State: 57:[80, 23], Operations: ['16*5=80', '60-37=23']
Exploring Operation: 80-23=57, Resulting Numbers: [57]
57,57 equal: Goal Reached
| 4 |
[
72,
94,
96,
10
] | 67 | [
"96-94=2",
"10/2=5",
"72-5=67"
] | Current State: 67:[72, 94, 96, 10], Operations: []
Exploring Operation: 96-94=2, Resulting Numbers: [72, 10, 2]
Generated Node #2: [72, 10, 2] from Operation: 96-94=2
Current State: 67:[72, 10, 2], Operations: ['96-94=2']
Exploring Operation: 10/2=5, Resulting Numbers: [72, 5]
Generated Node #3: [72, 5] from Operation: 10/2=5
Current State: 67:[72, 5], Operations: ['96-94=2', '10/2=5']
Exploring Operation: 72-5=67, Resulting Numbers: [67]
67,67 equal: Goal Reached
| 4 |
[
12,
44,
66,
16
] | 68 | [
"44-12=32",
"32/16=2",
"66+2=68"
] | Current State: 68:[12, 44, 66, 16], Operations: []
Exploring Operation: 44-12=32, Resulting Numbers: [66, 16, 32]
Generated Node #2: [66, 16, 32] from Operation: 44-12=32
Current State: 68:[66, 16, 32], Operations: ['44-12=32']
Exploring Operation: 32/16=2, Resulting Numbers: [66, 2]
Generated Node #3: [66, 2] from Operation: 32/16=2
Current State: 68:[66, 2], Operations: ['44-12=32', '32/16=2']
Exploring Operation: 66+2=68, Resulting Numbers: [68]
68,68 equal: Goal Reached
| 4 |
[
9,
26,
99,
19
] | 77 | [
"99/9=11",
"26-19=7",
"11*7=77"
] | Current State: 77:[9, 26, 99, 19], Operations: []
Exploring Operation: 99/9=11, Resulting Numbers: [26, 19, 11]
Generated Node #2: [26, 19, 11] from Operation: 99/9=11
Current State: 77:[26, 19, 11], Operations: ['99/9=11']
Exploring Operation: 26-19=7, Resulting Numbers: [11, 7]
Generated Node #3: [11, 7] from Operation: 26-19=7
Current State: 77:[11, 7], Operations: ['99/9=11', '26-19=7']
Exploring Operation: 11*7=77, Resulting Numbers: [77]
77,77 equal: Goal Reached
| 4 |
[
44,
8,
9,
34
] | 88 | [
"44*34=1496",
"8+9=17",
"1496/17=88"
] | Current State: 88:[44, 8, 9, 34], Operations: []
Exploring Operation: 44*34=1496, Resulting Numbers: [8, 9, 1496]
Generated Node #2: [8, 9, 1496] from Operation: 44*34=1496
Current State: 88:[8, 9, 1496], Operations: ['44*34=1496']
Exploring Operation: 8+9=17, Resulting Numbers: [1496, 17]
Generated Node #3: [1496, 17] from Operation: 8+9=17
Current State: 88:[1496, 17], Operations: ['44*34=1496', '8+9=17']
Exploring Operation: 1496/17=88, Resulting Numbers: [88]
88,88 equal: Goal Reached
| 4 |
[
30,
16,
85,
81
] | 42 | [
"30+16=46",
"85-81=4",
"46-4=42"
] | Current State: 42:[30, 16, 85, 81], Operations: []
Exploring Operation: 30+16=46, Resulting Numbers: [85, 81, 46]
Generated Node #2: [85, 81, 46] from Operation: 30+16=46
Current State: 42:[85, 81, 46], Operations: ['30+16=46']
Exploring Operation: 85-81=4, Resulting Numbers: [46, 4]
Generated Node #3: [46, 4] from Operation: 85-81=4
Current State: 42:[46, 4], Operations: ['30+16=46', '85-81=4']
Exploring Operation: 46-4=42, Resulting Numbers: [42]
42,42 equal: Goal Reached
| 4 |
[
76,
2,
87,
44
] | 77 | [
"87-76=11",
"2*44=88",
"88-11=77"
] | Current State: 77:[76, 2, 87, 44], Operations: []
Exploring Operation: 87-76=11, Resulting Numbers: [2, 44, 11]
Generated Node #2: [2, 44, 11] from Operation: 87-76=11
Current State: 77:[2, 44, 11], Operations: ['87-76=11']
Exploring Operation: 2*44=88, Resulting Numbers: [11, 88]
Generated Node #3: [11, 88] from Operation: 2*44=88
Current State: 77:[11, 88], Operations: ['87-76=11', '2*44=88']
Exploring Operation: 88-11=77, Resulting Numbers: [77]
77,77 equal: Goal Reached
| 4 |
[
51,
63,
12,
72
] | 17 | [
"63+12=75",
"75-72=3",
"51/3=17"
] | Current State: 17:[51, 63, 12, 72], Operations: []
Exploring Operation: 63+12=75, Resulting Numbers: [51, 72, 75]
Generated Node #2: [51, 72, 75] from Operation: 63+12=75
Current State: 17:[51, 72, 75], Operations: ['63+12=75']
Exploring Operation: 75-72=3, Resulting Numbers: [51, 3]
Generated Node #3: [51, 3] from Operation: 75-72=3
Current State: 17:[51, 3], Operations: ['63+12=75', '75-72=3']
Exploring Operation: 51/3=17, Resulting Numbers: [17]
17,17 equal: Goal Reached
| 4 |
[
8,
51,
5,
22
] | 24 | [
"8*51=408",
"22-5=17",
"408/17=24"
] | Current State: 24:[8, 51, 5, 22], Operations: []
Exploring Operation: 8*51=408, Resulting Numbers: [5, 22, 408]
Generated Node #2: [5, 22, 408] from Operation: 8*51=408
Current State: 24:[5, 22, 408], Operations: ['8*51=408']
Exploring Operation: 22-5=17, Resulting Numbers: [408, 17]
Generated Node #3: [408, 17] from Operation: 22-5=17
Current State: 24:[408, 17], Operations: ['8*51=408', '22-5=17']
Exploring Operation: 408/17=24, Resulting Numbers: [24]
24,24 equal: Goal Reached
| 4 |
[
52,
63,
3,
21
] | 77 | [
"63-52=11",
"21/3=7",
"11*7=77"
] | Current State: 77:[52, 63, 3, 21], Operations: []
Exploring Operation: 63-52=11, Resulting Numbers: [3, 21, 11]
Generated Node #2: [3, 21, 11] from Operation: 63-52=11
Current State: 77:[3, 21, 11], Operations: ['63-52=11']
Exploring Operation: 21/3=7, Resulting Numbers: [11, 7]
Generated Node #3: [11, 7] from Operation: 21/3=7
Current State: 77:[11, 7], Operations: ['63-52=11', '21/3=7']
Exploring Operation: 11*7=77, Resulting Numbers: [77]
77,77 equal: Goal Reached
| 4 |
[
27,
3,
17,
37
] | 24 | [
"27+3=30",
"17+37=54",
"54-30=24"
] | Current State: 24:[27, 3, 17, 37], Operations: []
Exploring Operation: 27+3=30, Resulting Numbers: [17, 37, 30]
Generated Node #2: [17, 37, 30] from Operation: 27+3=30
Current State: 24:[17, 37, 30], Operations: ['27+3=30']
Exploring Operation: 17+37=54, Resulting Numbers: [30, 54]
Generated Node #3: [30, 54] from Operation: 17+37=54
Current State: 24:[30, 54], Operations: ['27+3=30', '17+37=54']
Exploring Operation: 54-30=24, Resulting Numbers: [24]
24,24 equal: Goal Reached
| 4 |
[
11,
47,
4,
35
] | 53 | [
"35-11=24",
"24/4=6",
"47+6=53"
] | Current State: 53:[11, 47, 4, 35], Operations: []
Exploring Operation: 35-11=24, Resulting Numbers: [47, 4, 24]
Generated Node #2: [47, 4, 24] from Operation: 35-11=24
Current State: 53:[47, 4, 24], Operations: ['35-11=24']
Exploring Operation: 24/4=6, Resulting Numbers: [47, 6]
Generated Node #3: [47, 6] from Operation: 24/4=6
Current State: 53:[47, 6], Operations: ['35-11=24', '24/4=6']
Exploring Operation: 47+6=53, Resulting Numbers: [53]
53,53 equal: Goal Reached
| 4 |
[
72,
53,
58,
88
] | 80 | [
"88-72=16",
"58-53=5",
"16*5=80"
] | Current State: 80:[72, 53, 58, 88], Operations: []
Exploring Operation: 88-72=16, Resulting Numbers: [53, 58, 16]
Generated Node #2: [53, 58, 16] from Operation: 88-72=16
Current State: 80:[53, 58, 16], Operations: ['88-72=16']
Exploring Operation: 58-53=5, Resulting Numbers: [16, 5]
Generated Node #3: [16, 5] from Operation: 58-53=5
Current State: 80:[16, 5], Operations: ['88-72=16', '58-53=5']
Exploring Operation: 16*5=80, Resulting Numbers: [80]
80,80 equal: Goal Reached
| 4 |
[
2,
5,
86,
63
] | 73 | [
"2+63=65",
"65/5=13",
"86-13=73"
] | Current State: 73:[2, 5, 86, 63], Operations: []
Exploring Operation: 2+63=65, Resulting Numbers: [5, 86, 65]
Generated Node #2: [5, 86, 65] from Operation: 2+63=65
Current State: 73:[5, 86, 65], Operations: ['2+63=65']
Exploring Operation: 65/5=13, Resulting Numbers: [86, 13]
Generated Node #3: [86, 13] from Operation: 65/5=13
Current State: 73:[86, 13], Operations: ['2+63=65', '65/5=13']
Exploring Operation: 86-13=73, Resulting Numbers: [73]
73,73 equal: Goal Reached
| 4 |
[
14,
47,
19,
75
] | 61 | [
"47-14=33",
"19+75=94",
"94-33=61"
] | Current State: 61:[14, 47, 19, 75], Operations: []
Exploring Operation: 47-14=33, Resulting Numbers: [19, 75, 33]
Generated Node #2: [19, 75, 33] from Operation: 47-14=33
Current State: 61:[19, 75, 33], Operations: ['47-14=33']
Exploring Operation: 19+75=94, Resulting Numbers: [33, 94]
Generated Node #3: [33, 94] from Operation: 19+75=94
Current State: 61:[33, 94], Operations: ['47-14=33', '19+75=94']
Exploring Operation: 94-33=61, Resulting Numbers: [61]
61,61 equal: Goal Reached
| 4 |
[
94,
15,
87,
41
] | 96 | [
"94+41=135",
"135/15=9",
"87+9=96"
] | Current State: 96:[94, 15, 87, 41], Operations: []
Exploring Operation: 94+41=135, Resulting Numbers: [15, 87, 135]
Generated Node #2: [15, 87, 135] from Operation: 94+41=135
Current State: 96:[15, 87, 135], Operations: ['94+41=135']
Exploring Operation: 135/15=9, Resulting Numbers: [87, 9]
Generated Node #3: [87, 9] from Operation: 135/15=9
Current State: 96:[87, 9], Operations: ['94+41=135', '135/15=9']
Exploring Operation: 87+9=96, Resulting Numbers: [96]
96,96 equal: Goal Reached
| 4 |
[
62,
9,
60,
12
] | 82 | [
"12-9=3",
"60/3=20",
"62+20=82"
] | Current State: 82:[62, 9, 60, 12], Operations: []
Exploring Operation: 12-9=3, Resulting Numbers: [62, 60, 3]
Generated Node #2: [62, 60, 3] from Operation: 12-9=3
Current State: 82:[62, 60, 3], Operations: ['12-9=3']
Exploring Operation: 60/3=20, Resulting Numbers: [62, 20]
Generated Node #3: [62, 20] from Operation: 60/3=20
Current State: 82:[62, 20], Operations: ['12-9=3', '60/3=20']
Exploring Operation: 62+20=82, Resulting Numbers: [82]
82,82 equal: Goal Reached
| 4 |
[
62,
70,
93,
15
] | 86 | [
"70-62=8",
"93-15=78",
"8+78=86"
] | Current State: 86:[62, 70, 93, 15], Operations: []
Exploring Operation: 70-62=8, Resulting Numbers: [93, 15, 8]
Generated Node #2: [93, 15, 8] from Operation: 70-62=8
Current State: 86:[93, 15, 8], Operations: ['70-62=8']
Exploring Operation: 93-15=78, Resulting Numbers: [8, 78]
Generated Node #3: [8, 78] from Operation: 93-15=78
Current State: 86:[8, 78], Operations: ['70-62=8', '93-15=78']
Exploring Operation: 8+78=86, Resulting Numbers: [86]
86,86 equal: Goal Reached
| 4 |
[
68,
63,
59,
73
] | 23 | [
"68*63=4284",
"59*73=4307",
"4307-4284=23"
] | Current State: 23:[68, 63, 59, 73], Operations: []
Exploring Operation: 68*63=4284, Resulting Numbers: [59, 73, 4284]
Generated Node #2: [59, 73, 4284] from Operation: 68*63=4284
Current State: 23:[59, 73, 4284], Operations: ['68*63=4284']
Exploring Operation: 59*73=4307, Resulting Numbers: [4284, 4307]
Generated Node #3: [4284, 4307] from Operation: 59*73=4307
Current State: 23:[4284, 4307], Operations: ['68*63=4284', '59*73=4307']
Exploring Operation: 4307-4284=23, Resulting Numbers: [23]
23,23 equal: Goal Reached
| 4 |
[
3,
65,
12,
3
] | 44 | [
"3*3=9",
"65-12=53",
"53-9=44"
] | Current State: 44:[3, 65, 12, 3], Operations: []
Exploring Operation: 3*3=9, Resulting Numbers: [65, 12, 9]
Generated Node #2: [65, 12, 9] from Operation: 3*3=9
Current State: 44:[65, 12, 9], Operations: ['3*3=9']
Exploring Operation: 65-12=53, Resulting Numbers: [9, 53]
Generated Node #3: [9, 53] from Operation: 65-12=53
Current State: 44:[9, 53], Operations: ['3*3=9', '65-12=53']
Exploring Operation: 53-9=44, Resulting Numbers: [44]
44,44 equal: Goal Reached
| 4 |
[
24,
89,
30,
69
] | 26 | [
"89-24=65",
"69-30=39",
"65-39=26"
] | Current State: 26:[24, 89, 30, 69], Operations: []
Exploring Operation: 89-24=65, Resulting Numbers: [30, 69, 65]
Generated Node #2: [30, 69, 65] from Operation: 89-24=65
Current State: 26:[30, 69, 65], Operations: ['89-24=65']
Exploring Operation: 69-30=39, Resulting Numbers: [65, 39]
Generated Node #3: [65, 39] from Operation: 69-30=39
Current State: 26:[65, 39], Operations: ['89-24=65', '69-30=39']
Exploring Operation: 65-39=26, Resulting Numbers: [26]
26,26 equal: Goal Reached
| 4 |
[
65,
42,
89,
18
] | 66 | [
"65+89=154",
"18*154=2772",
"2772/42=66"
] | Current State: 66:[65, 42, 89, 18], Operations: []
Exploring Operation: 65+89=154, Resulting Numbers: [42, 18, 154]
Generated Node #2: [42, 18, 154] from Operation: 65+89=154
Current State: 66:[42, 18, 154], Operations: ['65+89=154']
Exploring Operation: 18*154=2772, Resulting Numbers: [42, 2772]
Generated Node #3: [42, 2772] from Operation: 18*154=2772
Current State: 66:[42, 2772], Operations: ['65+89=154', '18*154=2772']
Exploring Operation: 2772/42=66, Resulting Numbers: [66]
66,66 equal: Goal Reached
| 4 |
[
10,
67,
88,
72
] | 83 | [
"10+67=77",
"88+72=160",
"160-77=83"
] | Current State: 83:[10, 67, 88, 72], Operations: []
Exploring Operation: 10+67=77, Resulting Numbers: [88, 72, 77]
Generated Node #2: [88, 72, 77] from Operation: 10+67=77
Current State: 83:[88, 72, 77], Operations: ['10+67=77']
Exploring Operation: 88+72=160, Resulting Numbers: [77, 160]
Generated Node #3: [77, 160] from Operation: 88+72=160
Current State: 83:[77, 160], Operations: ['10+67=77', '88+72=160']
Exploring Operation: 160-77=83, Resulting Numbers: [83]
83,83 equal: Goal Reached
| 4 |
[
68,
13,
56,
89
] | 64 | [
"68+13=81",
"56+89=145",
"145-81=64"
] | Current State: 64:[68, 13, 56, 89], Operations: []
Exploring Operation: 68+13=81, Resulting Numbers: [56, 89, 81]
Generated Node #2: [56, 89, 81] from Operation: 68+13=81
Current State: 64:[56, 89, 81], Operations: ['68+13=81']
Exploring Operation: 56+89=145, Resulting Numbers: [81, 145]
Generated Node #3: [81, 145] from Operation: 56+89=145
Current State: 64:[81, 145], Operations: ['68+13=81', '56+89=145']
Exploring Operation: 145-81=64, Resulting Numbers: [64]
64,64 equal: Goal Reached
| 4 |
[
72,
37,
20,
74
] | 55 | [
"72+37=109",
"74-20=54",
"109-54=55"
] | Current State: 55:[72, 37, 20, 74], Operations: []
Exploring Operation: 72+37=109, Resulting Numbers: [20, 74, 109]
Generated Node #2: [20, 74, 109] from Operation: 72+37=109
Current State: 55:[20, 74, 109], Operations: ['72+37=109']
Exploring Operation: 74-20=54, Resulting Numbers: [109, 54]
Generated Node #3: [109, 54] from Operation: 74-20=54
Current State: 55:[109, 54], Operations: ['72+37=109', '74-20=54']
Exploring Operation: 109-54=55, Resulting Numbers: [55]
55,55 equal: Goal Reached
| 4 |
[
37,
45,
2,
20
] | 33 | [
"37+20=57",
"45*2=90",
"90-57=33"
] | Current State: 33:[37, 45, 2, 20], Operations: []
Exploring Operation: 37+20=57, Resulting Numbers: [45, 2, 57]
Generated Node #2: [45, 2, 57] from Operation: 37+20=57
Current State: 33:[45, 2, 57], Operations: ['37+20=57']
Exploring Operation: 45*2=90, Resulting Numbers: [57, 90]
Generated Node #3: [57, 90] from Operation: 45*2=90
Current State: 33:[57, 90], Operations: ['37+20=57', '45*2=90']
Exploring Operation: 90-57=33, Resulting Numbers: [33]
33,33 equal: Goal Reached
| 4 |
[
8,
5,
72,
51
] | 41 | [
"8-5=3",
"72+51=123",
"123/3=41"
] | Current State: 41:[8, 5, 72, 51], Operations: []
Exploring Operation: 8-5=3, Resulting Numbers: [72, 51, 3]
Generated Node #2: [72, 51, 3] from Operation: 8-5=3
Current State: 41:[72, 51, 3], Operations: ['8-5=3']
Exploring Operation: 72+51=123, Resulting Numbers: [3, 123]
Generated Node #3: [3, 123] from Operation: 72+51=123
Current State: 41:[3, 123], Operations: ['8-5=3', '72+51=123']
Exploring Operation: 123/3=41, Resulting Numbers: [41]
41,41 equal: Goal Reached
| 4 |
[
86,
9,
15,
54
] | 56 | [
"86+9=95",
"54-15=39",
"95-39=56"
] | Current State: 56:[86, 9, 15, 54], Operations: []
Exploring Operation: 86+9=95, Resulting Numbers: [15, 54, 95]
Generated Node #2: [15, 54, 95] from Operation: 86+9=95
Current State: 56:[15, 54, 95], Operations: ['86+9=95']
Exploring Operation: 54-15=39, Resulting Numbers: [95, 39]
Generated Node #3: [95, 39] from Operation: 54-15=39
Current State: 56:[95, 39], Operations: ['86+9=95', '54-15=39']
Exploring Operation: 95-39=56, Resulting Numbers: [56]
56,56 equal: Goal Reached
| 4 |
[
91,
18,
7,
35
] | 67 | [
"91+18=109",
"7+35=42",
"109-42=67"
] | Current State: 67:[91, 18, 7, 35], Operations: []
Exploring Operation: 91+18=109, Resulting Numbers: [7, 35, 109]
Generated Node #2: [7, 35, 109] from Operation: 91+18=109
Current State: 67:[7, 35, 109], Operations: ['91+18=109']
Exploring Operation: 7+35=42, Resulting Numbers: [109, 42]
Generated Node #3: [109, 42] from Operation: 7+35=42
Current State: 67:[109, 42], Operations: ['91+18=109', '7+35=42']
Exploring Operation: 109-42=67, Resulting Numbers: [67]
67,67 equal: Goal Reached
| 4 |
[
48,
71,
73,
76
] | 87 | [
"76-73=3",
"48/3=16",
"71+16=87"
] | Current State: 87:[48, 71, 73, 76], Operations: []
Exploring Operation: 76-73=3, Resulting Numbers: [48, 71, 3]
Generated Node #2: [48, 71, 3] from Operation: 76-73=3
Current State: 87:[48, 71, 3], Operations: ['76-73=3']
Exploring Operation: 48/3=16, Resulting Numbers: [71, 16]
Generated Node #3: [71, 16] from Operation: 48/3=16
Current State: 87:[71, 16], Operations: ['76-73=3', '48/3=16']
Exploring Operation: 71+16=87, Resulting Numbers: [87]
87,87 equal: Goal Reached
| 4 |
[
79,
61,
16,
99
] | 65 | [
"79-61=18",
"99-16=83",
"83-18=65"
] | Current State: 65:[79, 61, 16, 99], Operations: []
Exploring Operation: 79-61=18, Resulting Numbers: [16, 99, 18]
Generated Node #2: [16, 99, 18] from Operation: 79-61=18
Current State: 65:[16, 99, 18], Operations: ['79-61=18']
Exploring Operation: 99-16=83, Resulting Numbers: [18, 83]
Generated Node #3: [18, 83] from Operation: 99-16=83
Current State: 65:[18, 83], Operations: ['79-61=18', '99-16=83']
Exploring Operation: 83-18=65, Resulting Numbers: [65]
65,65 equal: Goal Reached
| 4 |
[
14,
84,
53,
31
] | 12 | [
"84+53=137",
"31+137=168",
"168/14=12"
] | Current State: 12:[14, 84, 53, 31], Operations: []
Exploring Operation: 84+53=137, Resulting Numbers: [14, 31, 137]
Generated Node #2: [14, 31, 137] from Operation: 84+53=137
Current State: 12:[14, 31, 137], Operations: ['84+53=137']
Exploring Operation: 31+137=168, Resulting Numbers: [14, 168]
Generated Node #3: [14, 168] from Operation: 31+137=168
Current State: 12:[14, 168], Operations: ['84+53=137', '31+137=168']
Exploring Operation: 168/14=12, Resulting Numbers: [12]
12,12 equal: Goal Reached
| 4 |
[
70,
10,
40,
73
] | 10 | [
"73-70=3",
"40-10=30",
"30/3=10"
] | Current State: 10:[70, 10, 40, 73], Operations: []
Exploring Operation: 73-70=3, Resulting Numbers: [10, 40, 3]
Generated Node #2: [10, 40, 3] from Operation: 73-70=3
Current State: 10:[10, 40, 3], Operations: ['73-70=3']
Exploring Operation: 40-10=30, Resulting Numbers: [3, 30]
Generated Node #3: [3, 30] from Operation: 40-10=30
Current State: 10:[3, 30], Operations: ['73-70=3', '40-10=30']
Exploring Operation: 30/3=10, Resulting Numbers: [10]
10,10 equal: Goal Reached
| 4 |
[
88,
23,
41,
65
] | 87 | [
"88+23=111",
"65-41=24",
"111-24=87"
] | Current State: 87:[88, 23, 41, 65], Operations: []
Exploring Operation: 88+23=111, Resulting Numbers: [41, 65, 111]
Generated Node #2: [41, 65, 111] from Operation: 88+23=111
Current State: 87:[41, 65, 111], Operations: ['88+23=111']
Exploring Operation: 65-41=24, Resulting Numbers: [111, 24]
Generated Node #3: [111, 24] from Operation: 65-41=24
Current State: 87:[111, 24], Operations: ['88+23=111', '65-41=24']
Exploring Operation: 111-24=87, Resulting Numbers: [87]
87,87 equal: Goal Reached
| 4 |
[
25,
52,
85,
55
] | 57 | [
"52-25=27",
"85-55=30",
"27+30=57"
] | Current State: 57:[25, 52, 85, 55], Operations: []
Exploring Operation: 52-25=27, Resulting Numbers: [85, 55, 27]
Generated Node #2: [85, 55, 27] from Operation: 52-25=27
Current State: 57:[85, 55, 27], Operations: ['52-25=27']
Exploring Operation: 85-55=30, Resulting Numbers: [27, 30]
Generated Node #3: [27, 30] from Operation: 85-55=30
Current State: 57:[27, 30], Operations: ['52-25=27', '85-55=30']
Exploring Operation: 27+30=57, Resulting Numbers: [57]
57,57 equal: Goal Reached
| 4 |
[
6,
64,
26,
94
] | 62 | [
"64-6=58",
"26+94=120",
"120-58=62"
] | Current State: 62:[6, 64, 26, 94], Operations: []
Exploring Operation: 64-6=58, Resulting Numbers: [26, 94, 58]
Generated Node #2: [26, 94, 58] from Operation: 64-6=58
Current State: 62:[26, 94, 58], Operations: ['64-6=58']
Exploring Operation: 26+94=120, Resulting Numbers: [58, 120]
Generated Node #3: [58, 120] from Operation: 26+94=120
Current State: 62:[58, 120], Operations: ['64-6=58', '26+94=120']
Exploring Operation: 120-58=62, Resulting Numbers: [62]
62,62 equal: Goal Reached
| 4 |
[
93,
87,
80,
61
] | 13 | [
"93-87=6",
"80-61=19",
"19-6=13"
] | Current State: 13:[93, 87, 80, 61], Operations: []
Exploring Operation: 93-87=6, Resulting Numbers: [80, 61, 6]
Generated Node #2: [80, 61, 6] from Operation: 93-87=6
Current State: 13:[80, 61, 6], Operations: ['93-87=6']
Exploring Operation: 80-61=19, Resulting Numbers: [6, 19]
Generated Node #3: [6, 19] from Operation: 80-61=19
Current State: 13:[6, 19], Operations: ['93-87=6', '80-61=19']
Exploring Operation: 19-6=13, Resulting Numbers: [13]
13,13 equal: Goal Reached
| 4 |
[
33,
22,
34,
3
] | 92 | [
"33+22=55",
"34+3=37",
"55+37=92"
] | Current State: 92:[33, 22, 34, 3], Operations: []
Exploring Operation: 33+22=55, Resulting Numbers: [34, 3, 55]
Generated Node #2: [34, 3, 55] from Operation: 33+22=55
Current State: 92:[34, 3, 55], Operations: ['33+22=55']
Exploring Operation: 34+3=37, Resulting Numbers: [55, 37]
Generated Node #3: [55, 37] from Operation: 34+3=37
Current State: 92:[55, 37], Operations: ['33+22=55', '34+3=37']
Exploring Operation: 55+37=92, Resulting Numbers: [92]
92,92 equal: Goal Reached
| 4 |
[
17,
85,
25,
49
] | 29 | [
"85/17=5",
"49-25=24",
"5+24=29"
] | Current State: 29:[17, 85, 25, 49], Operations: []
Exploring Operation: 85/17=5, Resulting Numbers: [25, 49, 5]
Generated Node #2: [25, 49, 5] from Operation: 85/17=5
Current State: 29:[25, 49, 5], Operations: ['85/17=5']
Exploring Operation: 49-25=24, Resulting Numbers: [5, 24]
Generated Node #3: [5, 24] from Operation: 49-25=24
Current State: 29:[5, 24], Operations: ['85/17=5', '49-25=24']
Exploring Operation: 5+24=29, Resulting Numbers: [29]
29,29 equal: Goal Reached
| 4 |
[
38,
46,
37,
19
] | 18 | [
"38/19=2",
"46-37=9",
"2*9=18"
] | Current State: 18:[38, 46, 37, 19], Operations: []
Exploring Operation: 38/19=2, Resulting Numbers: [46, 37, 2]
Generated Node #2: [46, 37, 2] from Operation: 38/19=2
Current State: 18:[46, 37, 2], Operations: ['38/19=2']
Exploring Operation: 46-37=9, Resulting Numbers: [2, 9]
Generated Node #3: [2, 9] from Operation: 46-37=9
Current State: 18:[2, 9], Operations: ['38/19=2', '46-37=9']
Exploring Operation: 2*9=18, Resulting Numbers: [18]
18,18 equal: Goal Reached
| 4 |
[
9,
83,
8,
77
] | 78 | [
"9*8=72",
"83-77=6",
"72+6=78"
] | Current State: 78:[9, 83, 8, 77], Operations: []
Exploring Operation: 9*8=72, Resulting Numbers: [83, 77, 72]
Generated Node #2: [83, 77, 72] from Operation: 9*8=72
Current State: 78:[83, 77, 72], Operations: ['9*8=72']
Exploring Operation: 83-77=6, Resulting Numbers: [72, 6]
Generated Node #3: [72, 6] from Operation: 83-77=6
Current State: 78:[72, 6], Operations: ['9*8=72', '83-77=6']
Exploring Operation: 72+6=78, Resulting Numbers: [78]
78,78 equal: Goal Reached
| 4 |
[
76,
61,
54,
55
] | 94 | [
"76-61=15",
"54+55=109",
"109-15=94"
] | Current State: 94:[76, 61, 54, 55], Operations: []
Exploring Operation: 76-61=15, Resulting Numbers: [54, 55, 15]
Generated Node #2: [54, 55, 15] from Operation: 76-61=15
Current State: 94:[54, 55, 15], Operations: ['76-61=15']
Exploring Operation: 54+55=109, Resulting Numbers: [15, 109]
Generated Node #3: [15, 109] from Operation: 54+55=109
Current State: 94:[15, 109], Operations: ['76-61=15', '54+55=109']
Exploring Operation: 109-15=94, Resulting Numbers: [94]
94,94 equal: Goal Reached
| 4 |
[
64,
72,
78,
74
] | 88 | [
"78-74=4",
"64/4=16",
"72+16=88"
] | Current State: 88:[64, 72, 78, 74], Operations: []
Exploring Operation: 78-74=4, Resulting Numbers: [64, 72, 4]
Generated Node #2: [64, 72, 4] from Operation: 78-74=4
Current State: 88:[64, 72, 4], Operations: ['78-74=4']
Exploring Operation: 64/4=16, Resulting Numbers: [72, 16]
Generated Node #3: [72, 16] from Operation: 64/4=16
Current State: 88:[72, 16], Operations: ['78-74=4', '64/4=16']
Exploring Operation: 72+16=88, Resulting Numbers: [88]
88,88 equal: Goal Reached
| 4 |
[
54,
77,
56,
4
] | 84 | [
"77+4=81",
"56*81=4536",
"4536/54=84"
] | Current State: 84:[54, 77, 56, 4], Operations: []
Exploring Operation: 77+4=81, Resulting Numbers: [54, 56, 81]
Generated Node #2: [54, 56, 81] from Operation: 77+4=81
Current State: 84:[54, 56, 81], Operations: ['77+4=81']
Exploring Operation: 56*81=4536, Resulting Numbers: [54, 4536]
Generated Node #3: [54, 4536] from Operation: 56*81=4536
Current State: 84:[54, 4536], Operations: ['77+4=81', '56*81=4536']
Exploring Operation: 4536/54=84, Resulting Numbers: [84]
84,84 equal: Goal Reached
| 4 |
[
43,
5,
44,
33
] | 37 | [
"43+5=48",
"44-33=11",
"48-11=37"
] | Current State: 37:[43, 5, 44, 33], Operations: []
Exploring Operation: 43+5=48, Resulting Numbers: [44, 33, 48]
Generated Node #2: [44, 33, 48] from Operation: 43+5=48
Current State: 37:[44, 33, 48], Operations: ['43+5=48']
Exploring Operation: 44-33=11, Resulting Numbers: [48, 11]
Generated Node #3: [48, 11] from Operation: 44-33=11
Current State: 37:[48, 11], Operations: ['43+5=48', '44-33=11']
Exploring Operation: 48-11=37, Resulting Numbers: [37]
37,37 equal: Goal Reached
| 4 |
[
85,
77,
72,
40
] | 90 | [
"85+77=162",
"40*162=6480",
"6480/72=90"
] | Current State: 90:[85, 77, 72, 40], Operations: []
Exploring Operation: 85+77=162, Resulting Numbers: [72, 40, 162]
Generated Node #2: [72, 40, 162] from Operation: 85+77=162
Current State: 90:[72, 40, 162], Operations: ['85+77=162']
Exploring Operation: 40*162=6480, Resulting Numbers: [72, 6480]
Generated Node #3: [72, 6480] from Operation: 40*162=6480
Current State: 90:[72, 6480], Operations: ['85+77=162', '40*162=6480']
Exploring Operation: 6480/72=90, Resulting Numbers: [90]
90,90 equal: Goal Reached
| 4 |
[
24,
2,
3,
17
] | 64 | [
"3+17=20",
"2*20=40",
"24+40=64"
] | Current State: 64:[24, 2, 3, 17], Operations: []
Exploring Operation: 3+17=20, Resulting Numbers: [24, 2, 20]
Generated Node #2: [24, 2, 20] from Operation: 3+17=20
Current State: 64:[24, 2, 20], Operations: ['3+17=20']
Exploring Operation: 2*20=40, Resulting Numbers: [24, 40]
Generated Node #3: [24, 40] from Operation: 2*20=40
Current State: 64:[24, 40], Operations: ['3+17=20', '2*20=40']
Exploring Operation: 24+40=64, Resulting Numbers: [64]
64,64 equal: Goal Reached
| 4 |
[
47,
62,
4,
54
] | 51 | [
"47+62=109",
"4+54=58",
"109-58=51"
] | Current State: 51:[47, 62, 4, 54], Operations: []
Exploring Operation: 47+62=109, Resulting Numbers: [4, 54, 109]
Generated Node #2: [4, 54, 109] from Operation: 47+62=109
Current State: 51:[4, 54, 109], Operations: ['47+62=109']
Exploring Operation: 4+54=58, Resulting Numbers: [109, 58]
Generated Node #3: [109, 58] from Operation: 4+54=58
Current State: 51:[109, 58], Operations: ['47+62=109', '4+54=58']
Exploring Operation: 109-58=51, Resulting Numbers: [51]
51,51 equal: Goal Reached
| 4 |
[
85,
69,
81,
13
] | 14 | [
"85-81=4",
"69-13=56",
"56/4=14"
] | Current State: 14:[85, 69, 81, 13], Operations: []
Exploring Operation: 85-81=4, Resulting Numbers: [69, 13, 4]
Generated Node #2: [69, 13, 4] from Operation: 85-81=4
Current State: 14:[69, 13, 4], Operations: ['85-81=4']
Exploring Operation: 69-13=56, Resulting Numbers: [4, 56]
Generated Node #3: [4, 56] from Operation: 69-13=56
Current State: 14:[4, 56], Operations: ['85-81=4', '69-13=56']
Exploring Operation: 56/4=14, Resulting Numbers: [14]
14,14 equal: Goal Reached
| 4 |
[
23,
7,
64,
56
] | 95 | [
"23+64=87",
"56/7=8",
"87+8=95"
] | Current State: 95:[23, 7, 64, 56], Operations: []
Exploring Operation: 23+64=87, Resulting Numbers: [7, 56, 87]
Generated Node #2: [7, 56, 87] from Operation: 23+64=87
Current State: 95:[7, 56, 87], Operations: ['23+64=87']
Exploring Operation: 56/7=8, Resulting Numbers: [87, 8]
Generated Node #3: [87, 8] from Operation: 56/7=8
Current State: 95:[87, 8], Operations: ['23+64=87', '56/7=8']
Exploring Operation: 87+8=95, Resulting Numbers: [95]
95,95 equal: Goal Reached
| 4 |
[
11,
50,
45,
46
] | 52 | [
"50-11=39",
"45+46=91",
"91-39=52"
] | Current State: 52:[11, 50, 45, 46], Operations: []
Exploring Operation: 50-11=39, Resulting Numbers: [45, 46, 39]
Generated Node #2: [45, 46, 39] from Operation: 50-11=39
Current State: 52:[45, 46, 39], Operations: ['50-11=39']
Exploring Operation: 45+46=91, Resulting Numbers: [39, 91]
Generated Node #3: [39, 91] from Operation: 45+46=91
Current State: 52:[39, 91], Operations: ['50-11=39', '45+46=91']
Exploring Operation: 91-39=52, Resulting Numbers: [52]
52,52 equal: Goal Reached
| 4 |
[
86,
54,
56,
99
] | 15 | [
"86+54=140",
"56+99=155",
"155-140=15"
] | Current State: 15:[86, 54, 56, 99], Operations: []
Exploring Operation: 86+54=140, Resulting Numbers: [56, 99, 140]
Generated Node #2: [56, 99, 140] from Operation: 86+54=140
Current State: 15:[56, 99, 140], Operations: ['86+54=140']
Exploring Operation: 56+99=155, Resulting Numbers: [140, 155]
Generated Node #3: [140, 155] from Operation: 56+99=155
Current State: 15:[140, 155], Operations: ['86+54=140', '56+99=155']
Exploring Operation: 155-140=15, Resulting Numbers: [15]
15,15 equal: Goal Reached
| 4 |
[
69,
22,
69,
45
] | 71 | [
"69-22=47",
"69-45=24",
"47+24=71"
] | Current State: 71:[69, 22, 69, 45], Operations: []
Exploring Operation: 69-22=47, Resulting Numbers: [45, 47]
Generated Node #2: [45, 47] from Operation: 69-22=47
Current State: 71:[45, 47], Operations: ['69-22=47']
Exploring Operation: 69-45=24, Resulting Numbers: [47, 24]
Generated Node #3: [47, 24] from Operation: 69-45=24
Current State: 71:[47, 24], Operations: ['69-22=47', '69-45=24']
Exploring Operation: 47+24=71, Resulting Numbers: [71]
71,71 equal: Goal Reached
| 4 |
[
6,
46,
61,
9
] | 92 | [
"46-6=40",
"61-9=52",
"40+52=92"
] | Current State: 92:[6, 46, 61, 9], Operations: []
Exploring Operation: 46-6=40, Resulting Numbers: [61, 9, 40]
Generated Node #2: [61, 9, 40] from Operation: 46-6=40
Current State: 92:[61, 9, 40], Operations: ['46-6=40']
Exploring Operation: 61-9=52, Resulting Numbers: [40, 52]
Generated Node #3: [40, 52] from Operation: 61-9=52
Current State: 92:[40, 52], Operations: ['46-6=40', '61-9=52']
Exploring Operation: 40+52=92, Resulting Numbers: [92]
92,92 equal: Goal Reached
| 4 |
[
93,
2,
53,
55
] | 18 | [
"93+53=146",
"146/2=73",
"73-55=18"
] | Current State: 18:[93, 2, 53, 55], Operations: []
Exploring Operation: 93+53=146, Resulting Numbers: [2, 55, 146]
Generated Node #2: [2, 55, 146] from Operation: 93+53=146
Current State: 18:[2, 55, 146], Operations: ['93+53=146']
Exploring Operation: 146/2=73, Resulting Numbers: [55, 73]
Generated Node #3: [55, 73] from Operation: 146/2=73
Current State: 18:[55, 73], Operations: ['93+53=146', '146/2=73']
Exploring Operation: 73-55=18, Resulting Numbers: [18]
18,18 equal: Goal Reached
| 4 |
[
6,
23,
15,
24
] | 38 | [
"6+23=29",
"24-15=9",
"29+9=38"
] | Current State: 38:[6, 23, 15, 24], Operations: []
Exploring Operation: 6+23=29, Resulting Numbers: [15, 24, 29]
Generated Node #2: [15, 24, 29] from Operation: 6+23=29
Current State: 38:[15, 24, 29], Operations: ['6+23=29']
Exploring Operation: 24-15=9, Resulting Numbers: [29, 9]
Generated Node #3: [29, 9] from Operation: 24-15=9
Current State: 38:[29, 9], Operations: ['6+23=29', '24-15=9']
Exploring Operation: 29+9=38, Resulting Numbers: [38]
38,38 equal: Goal Reached
| 4 |
[
44,
94,
1,
37
] | 13 | [
"94-44=50",
"1*37=37",
"50-37=13"
] | Current State: 13:[44, 94, 1, 37], Operations: []
Exploring Operation: 94-44=50, Resulting Numbers: [1, 37, 50]
Generated Node #2: [1, 37, 50] from Operation: 94-44=50
Current State: 13:[1, 37, 50], Operations: ['94-44=50']
Exploring Operation: 1*37=37, Resulting Numbers: [50, 37]
Generated Node #3: [50, 37] from Operation: 1*37=37
Current State: 13:[50, 37], Operations: ['94-44=50', '1*37=37']
Exploring Operation: 50-37=13, Resulting Numbers: [13]
13,13 equal: Goal Reached
| 4 |
[
63,
90,
98,
3
] | 89 | [
"90-63=27",
"27/3=9",
"98-9=89"
] | Current State: 89:[63, 90, 98, 3], Operations: []
Exploring Operation: 90-63=27, Resulting Numbers: [98, 3, 27]
Generated Node #2: [98, 3, 27] from Operation: 90-63=27
Current State: 89:[98, 3, 27], Operations: ['90-63=27']
Exploring Operation: 27/3=9, Resulting Numbers: [98, 9]
Generated Node #3: [98, 9] from Operation: 27/3=9
Current State: 89:[98, 9], Operations: ['90-63=27', '27/3=9']
Exploring Operation: 98-9=89, Resulting Numbers: [89]
89,89 equal: Goal Reached
| 4 |
[
69,
97,
37,
69
] | 37 | [
"69-69=0",
"97*0=0",
"37+0=37"
] | Current State: 37:[69, 97, 37, 69], Operations: []
Exploring Operation: 69-69=0, Resulting Numbers: [97, 37, 0]
Generated Node #2: [97, 37, 0] from Operation: 69-69=0
Current State: 37:[97, 37, 0], Operations: ['69-69=0']
Exploring Operation: 97*0=0, Resulting Numbers: [37, 0]
Generated Node #3: [37, 0] from Operation: 97*0=0
Current State: 37:[37, 0], Operations: ['69-69=0', '97*0=0']
Exploring Operation: 37+0=37, Resulting Numbers: [37]
37,37 equal: Goal Reached
| 4 |
[
88,
67,
27,
37
] | 31 | [
"88-67=21",
"37-27=10",
"21+10=31"
] | Current State: 31:[88, 67, 27, 37], Operations: []
Exploring Operation: 88-67=21, Resulting Numbers: [27, 37, 21]
Generated Node #2: [27, 37, 21] from Operation: 88-67=21
Current State: 31:[27, 37, 21], Operations: ['88-67=21']
Exploring Operation: 37-27=10, Resulting Numbers: [21, 10]
Generated Node #3: [21, 10] from Operation: 37-27=10
Current State: 31:[21, 10], Operations: ['88-67=21', '37-27=10']
Exploring Operation: 21+10=31, Resulting Numbers: [31]
31,31 equal: Goal Reached
| 4 |
[
75,
67,
27,
7
] | 12 | [
"75-67=8",
"27-7=20",
"20-8=12"
] | Current State: 12:[75, 67, 27, 7], Operations: []
Exploring Operation: 75-67=8, Resulting Numbers: [27, 7, 8]
Generated Node #2: [27, 7, 8] from Operation: 75-67=8
Current State: 12:[27, 7, 8], Operations: ['75-67=8']
Exploring Operation: 27-7=20, Resulting Numbers: [8, 20]
Generated Node #3: [8, 20] from Operation: 27-7=20
Current State: 12:[8, 20], Operations: ['75-67=8', '27-7=20']
Exploring Operation: 20-8=12, Resulting Numbers: [12]
12,12 equal: Goal Reached
| 4 |
[
17,
2,
35,
25
] | 39 | [
"25-17=8",
"8/2=4",
"35+4=39"
] | Current State: 39:[17, 2, 35, 25], Operations: []
Exploring Operation: 25-17=8, Resulting Numbers: [2, 35, 8]
Generated Node #2: [2, 35, 8] from Operation: 25-17=8
Current State: 39:[2, 35, 8], Operations: ['25-17=8']
Exploring Operation: 8/2=4, Resulting Numbers: [35, 4]
Generated Node #3: [35, 4] from Operation: 8/2=4
Current State: 39:[35, 4], Operations: ['25-17=8', '8/2=4']
Exploring Operation: 35+4=39, Resulting Numbers: [39]
39,39 equal: Goal Reached
| 4 |
[
77,
90,
80,
34
] | 33 | [
"90-77=13",
"80-34=46",
"46-13=33"
] | Current State: 33:[77, 90, 80, 34], Operations: []
Exploring Operation: 90-77=13, Resulting Numbers: [80, 34, 13]
Generated Node #2: [80, 34, 13] from Operation: 90-77=13
Current State: 33:[80, 34, 13], Operations: ['90-77=13']
Exploring Operation: 80-34=46, Resulting Numbers: [13, 46]
Generated Node #3: [13, 46] from Operation: 80-34=46
Current State: 33:[13, 46], Operations: ['90-77=13', '80-34=46']
Exploring Operation: 46-13=33, Resulting Numbers: [33]
33,33 equal: Goal Reached
| 4 |
[
63,
57,
58,
9
] | 53 | [
"63+57=120",
"58+9=67",
"120-67=53"
] | Current State: 53:[63, 57, 58, 9], Operations: []
Exploring Operation: 63+57=120, Resulting Numbers: [58, 9, 120]
Generated Node #2: [58, 9, 120] from Operation: 63+57=120
Current State: 53:[58, 9, 120], Operations: ['63+57=120']
Exploring Operation: 58+9=67, Resulting Numbers: [120, 67]
Generated Node #3: [120, 67] from Operation: 58+9=67
Current State: 53:[120, 67], Operations: ['63+57=120', '58+9=67']
Exploring Operation: 120-67=53, Resulting Numbers: [53]
53,53 equal: Goal Reached
| 4 |
[
2,
83,
73,
7
] | 35 | [
"83-73=10",
"10/2=5",
"7*5=35"
] | Current State: 35:[2, 83, 73, 7], Operations: []
Exploring Operation: 83-73=10, Resulting Numbers: [2, 7, 10]
Generated Node #2: [2, 7, 10] from Operation: 83-73=10
Current State: 35:[2, 7, 10], Operations: ['83-73=10']
Exploring Operation: 10/2=5, Resulting Numbers: [7, 5]
Generated Node #3: [7, 5] from Operation: 10/2=5
Current State: 35:[7, 5], Operations: ['83-73=10', '10/2=5']
Exploring Operation: 7*5=35, Resulting Numbers: [35]
35,35 equal: Goal Reached
| 4 |
[
85,
30,
87,
1
] | 58 | [
"87-85=2",
"30-1=29",
"2*29=58"
] | Current State: 58:[85, 30, 87, 1], Operations: []
Exploring Operation: 87-85=2, Resulting Numbers: [30, 1, 2]
Generated Node #2: [30, 1, 2] from Operation: 87-85=2
Current State: 58:[30, 1, 2], Operations: ['87-85=2']
Exploring Operation: 30-1=29, Resulting Numbers: [2, 29]
Generated Node #3: [2, 29] from Operation: 30-1=29
Current State: 58:[2, 29], Operations: ['87-85=2', '30-1=29']
Exploring Operation: 2*29=58, Resulting Numbers: [58]
58,58 equal: Goal Reached
| 4 |
[
70,
50,
59,
52
] | 48 | [
"52-50=2",
"59*2=118",
"118-70=48"
] | Current State: 48:[70, 50, 59, 52], Operations: []
Exploring Operation: 52-50=2, Resulting Numbers: [70, 59, 2]
Generated Node #2: [70, 59, 2] from Operation: 52-50=2
Current State: 48:[70, 59, 2], Operations: ['52-50=2']
Exploring Operation: 59*2=118, Resulting Numbers: [70, 118]
Generated Node #3: [70, 118] from Operation: 59*2=118
Current State: 48:[70, 118], Operations: ['52-50=2', '59*2=118']
Exploring Operation: 118-70=48, Resulting Numbers: [48]
48,48 equal: Goal Reached
| 4 |
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