nums listlengths 4 4 | target int64 10 100 | solution listlengths 3 3 | optimal_path stringlengths 282 529 | start_size int64 4 4 |
|---|---|---|---|---|
[
48,
51,
65,
9
] | 92 | [
"51-48=3",
"9*3=27",
"65+27=92"
] | Current State: 92:[48, 51, 65, 9], Operations: []
Exploring Operation: 51-48=3, Resulting Numbers: [65, 9, 3]
Generated Node #2: [65, 9, 3] from Operation: 51-48=3
Current State: 92:[65, 9, 3], Operations: ['51-48=3']
Exploring Operation: 9*3=27, Resulting Numbers: [65, 27]
Generated Node #3: [65, 27] from Operation: 9*3=27
Current State: 92:[65, 27], Operations: ['51-48=3', '9*3=27']
Exploring Operation: 65+27=92, Resulting Numbers: [92]
92,92 equal: Goal Reached
| 4 |
[
44,
2,
5,
64
] | 74 | [
"64-5=59",
"2*59=118",
"118-44=74"
] | Current State: 74:[44, 2, 5, 64], Operations: []
Exploring Operation: 64-5=59, Resulting Numbers: [44, 2, 59]
Generated Node #2: [44, 2, 59] from Operation: 64-5=59
Current State: 74:[44, 2, 59], Operations: ['64-5=59']
Exploring Operation: 2*59=118, Resulting Numbers: [44, 118]
Generated Node #3: [44, 118] from Operation: 2*59=118
Current State: 74:[44, 118], Operations: ['64-5=59', '2*59=118']
Exploring Operation: 118-44=74, Resulting Numbers: [74]
74,74 equal: Goal Reached
| 4 |
[
83,
4,
44,
72
] | 29 | [
"83+4=87",
"44+72=116",
"116-87=29"
] | Current State: 29:[83, 4, 44, 72], Operations: []
Exploring Operation: 83+4=87, Resulting Numbers: [44, 72, 87]
Generated Node #2: [44, 72, 87] from Operation: 83+4=87
Current State: 29:[44, 72, 87], Operations: ['83+4=87']
Exploring Operation: 44+72=116, Resulting Numbers: [87, 116]
Generated Node #3: [87, 116] from Operation: 44+72=116
Current State: 29:[87, 116], Operations: ['83+4=87', '44+72=116']
Exploring Operation: 116-87=29, Resulting Numbers: [29]
29,29 equal: Goal Reached
| 4 |
[
70,
49,
74,
66
] | 68 | [
"74-70=4",
"66-49=17",
"4*17=68"
] | Current State: 68:[70, 49, 74, 66], Operations: []
Exploring Operation: 74-70=4, Resulting Numbers: [49, 66, 4]
Generated Node #2: [49, 66, 4] from Operation: 74-70=4
Current State: 68:[49, 66, 4], Operations: ['74-70=4']
Exploring Operation: 66-49=17, Resulting Numbers: [4, 17]
Generated Node #3: [4, 17] from Operation: 66-49=17
Current State: 68:[4, 17], Operations: ['74-70=4', '66-49=17']
Exploring Operation: 4*17=68, Resulting Numbers: [68]
68,68 equal: Goal Reached
| 4 |
[
63,
23,
15,
2
] | 18 | [
"23-2=21",
"63/21=3",
"15+3=18"
] | Current State: 18:[63, 23, 15, 2], Operations: []
Exploring Operation: 23-2=21, Resulting Numbers: [63, 15, 21]
Generated Node #2: [63, 15, 21] from Operation: 23-2=21
Current State: 18:[63, 15, 21], Operations: ['23-2=21']
Exploring Operation: 63/21=3, Resulting Numbers: [15, 3]
Generated Node #3: [15, 3] from Operation: 63/21=3
Current State: 18:[15, 3], Operations: ['23-2=21', '63/21=3']
Exploring Operation: 15+3=18, Resulting Numbers: [18]
18,18 equal: Goal Reached
| 4 |
[
49,
9,
12,
74
] | 11 | [
"49+9=58",
"74+58=132",
"132/12=11"
] | Current State: 11:[49, 9, 12, 74], Operations: []
Exploring Operation: 49+9=58, Resulting Numbers: [12, 74, 58]
Generated Node #2: [12, 74, 58] from Operation: 49+9=58
Current State: 11:[12, 74, 58], Operations: ['49+9=58']
Exploring Operation: 74+58=132, Resulting Numbers: [12, 132]
Generated Node #3: [12, 132] from Operation: 74+58=132
Current State: 11:[12, 132], Operations: ['49+9=58', '74+58=132']
Exploring Operation: 132/12=11, Resulting Numbers: [11]
11,11 equal: Goal Reached
| 4 |
[
87,
62,
20,
44
] | 89 | [
"87-62=25",
"20+44=64",
"25+64=89"
] | Current State: 89:[87, 62, 20, 44], Operations: []
Exploring Operation: 87-62=25, Resulting Numbers: [20, 44, 25]
Generated Node #2: [20, 44, 25] from Operation: 87-62=25
Current State: 89:[20, 44, 25], Operations: ['87-62=25']
Exploring Operation: 20+44=64, Resulting Numbers: [25, 64]
Generated Node #3: [25, 64] from Operation: 20+44=64
Current State: 89:[25, 64], Operations: ['87-62=25', '20+44=64']
Exploring Operation: 25+64=89, Resulting Numbers: [89]
89,89 equal: Goal Reached
| 4 |
[
78,
92,
9,
26
] | 98 | [
"78/26=3",
"92+9=101",
"101-3=98"
] | Current State: 98:[78, 92, 9, 26], Operations: []
Exploring Operation: 78/26=3, Resulting Numbers: [92, 9, 3]
Generated Node #2: [92, 9, 3] from Operation: 78/26=3
Current State: 98:[92, 9, 3], Operations: ['78/26=3']
Exploring Operation: 92+9=101, Resulting Numbers: [3, 101]
Generated Node #3: [3, 101] from Operation: 92+9=101
Current State: 98:[3, 101], Operations: ['78/26=3', '92+9=101']
Exploring Operation: 101-3=98, Resulting Numbers: [98]
98,98 equal: Goal Reached
| 4 |
[
40,
96,
96,
97
] | 58 | [
"97-40=57",
"96/96=1",
"57+1=58"
] | Current State: 58:[40, 96, 96, 97], Operations: []
Exploring Operation: 97-40=57, Resulting Numbers: [96, 96, 57]
Generated Node #2: [96, 96, 57] from Operation: 97-40=57
Current State: 58:[96, 96, 57], Operations: ['97-40=57']
Exploring Operation: 96/96=1, Resulting Numbers: [57, 1]
Generated Node #3: [57, 1] from Operation: 96/96=1
Current State: 58:[57, 1], Operations: ['97-40=57', '96/96=1']
Exploring Operation: 57+1=58, Resulting Numbers: [58]
58,58 equal: Goal Reached
| 4 |
[
13,
8,
6,
86
] | 60 | [
"8-6=2",
"13*2=26",
"86-26=60"
] | Current State: 60:[13, 8, 6, 86], Operations: []
Exploring Operation: 8-6=2, Resulting Numbers: [13, 86, 2]
Generated Node #2: [13, 86, 2] from Operation: 8-6=2
Current State: 60:[13, 86, 2], Operations: ['8-6=2']
Exploring Operation: 13*2=26, Resulting Numbers: [86, 26]
Generated Node #3: [86, 26] from Operation: 13*2=26
Current State: 60:[86, 26], Operations: ['8-6=2', '13*2=26']
Exploring Operation: 86-26=60, Resulting Numbers: [60]
60,60 equal: Goal Reached
| 4 |
[
75,
70,
73,
31
] | 99 | [
"75-70=5",
"73+31=104",
"104-5=99"
] | Current State: 99:[75, 70, 73, 31], Operations: []
Exploring Operation: 75-70=5, Resulting Numbers: [73, 31, 5]
Generated Node #2: [73, 31, 5] from Operation: 75-70=5
Current State: 99:[73, 31, 5], Operations: ['75-70=5']
Exploring Operation: 73+31=104, Resulting Numbers: [5, 104]
Generated Node #3: [5, 104] from Operation: 73+31=104
Current State: 99:[5, 104], Operations: ['75-70=5', '73+31=104']
Exploring Operation: 104-5=99, Resulting Numbers: [99]
99,99 equal: Goal Reached
| 4 |
[
37,
90,
4,
39
] | 56 | [
"90-37=53",
"53-39=14",
"4*14=56"
] | Current State: 56:[37, 90, 4, 39], Operations: []
Exploring Operation: 90-37=53, Resulting Numbers: [4, 39, 53]
Generated Node #2: [4, 39, 53] from Operation: 90-37=53
Current State: 56:[4, 39, 53], Operations: ['90-37=53']
Exploring Operation: 53-39=14, Resulting Numbers: [4, 14]
Generated Node #3: [4, 14] from Operation: 53-39=14
Current State: 56:[4, 14], Operations: ['90-37=53', '53-39=14']
Exploring Operation: 4*14=56, Resulting Numbers: [56]
56,56 equal: Goal Reached
| 4 |
[
21,
78,
42,
23
] | 62 | [
"21*78=1638",
"1638/42=39",
"23+39=62"
] | Current State: 62:[21, 78, 42, 23], Operations: []
Exploring Operation: 21*78=1638, Resulting Numbers: [42, 23, 1638]
Generated Node #2: [42, 23, 1638] from Operation: 21*78=1638
Current State: 62:[42, 23, 1638], Operations: ['21*78=1638']
Exploring Operation: 1638/42=39, Resulting Numbers: [23, 39]
Generated Node #3: [23, 39] from Operation: 1638/42=39
Current State: 62:[23, 39], Operations: ['21*78=1638', '1638/42=39']
Exploring Operation: 23+39=62, Resulting Numbers: [62]
62,62 equal: Goal Reached
| 4 |
[
33,
44,
34,
27
] | 70 | [
"33+44=77",
"34-27=7",
"77-7=70"
] | Current State: 70:[33, 44, 34, 27], Operations: []
Exploring Operation: 33+44=77, Resulting Numbers: [34, 27, 77]
Generated Node #2: [34, 27, 77] from Operation: 33+44=77
Current State: 70:[34, 27, 77], Operations: ['33+44=77']
Exploring Operation: 34-27=7, Resulting Numbers: [77, 7]
Generated Node #3: [77, 7] from Operation: 34-27=7
Current State: 70:[77, 7], Operations: ['33+44=77', '34-27=7']
Exploring Operation: 77-7=70, Resulting Numbers: [70]
70,70 equal: Goal Reached
| 4 |
[
8,
54,
72,
95
] | 50 | [
"72/8=9",
"95-54=41",
"9+41=50"
] | Current State: 50:[8, 54, 72, 95], Operations: []
Exploring Operation: 72/8=9, Resulting Numbers: [54, 95, 9]
Generated Node #2: [54, 95, 9] from Operation: 72/8=9
Current State: 50:[54, 95, 9], Operations: ['72/8=9']
Exploring Operation: 95-54=41, Resulting Numbers: [9, 41]
Generated Node #3: [9, 41] from Operation: 95-54=41
Current State: 50:[9, 41], Operations: ['72/8=9', '95-54=41']
Exploring Operation: 9+41=50, Resulting Numbers: [50]
50,50 equal: Goal Reached
| 4 |
[
24,
24,
9,
54
] | 46 | [
"24/24=1",
"54-9=45",
"1+45=46"
] | Current State: 46:[24, 24, 9, 54], Operations: []
Exploring Operation: 24/24=1, Resulting Numbers: [9, 54, 1]
Generated Node #2: [9, 54, 1] from Operation: 24/24=1
Current State: 46:[9, 54, 1], Operations: ['24/24=1']
Exploring Operation: 54-9=45, Resulting Numbers: [1, 45]
Generated Node #3: [1, 45] from Operation: 54-9=45
Current State: 46:[1, 45], Operations: ['24/24=1', '54-9=45']
Exploring Operation: 1+45=46, Resulting Numbers: [46]
46,46 equal: Goal Reached
| 4 |
[
92,
42,
4,
8
] | 76 | [
"8-4=4",
"42*4=168",
"168-92=76"
] | Current State: 76:[92, 42, 4, 8], Operations: []
Exploring Operation: 8-4=4, Resulting Numbers: [92, 42, 4]
Generated Node #2: [92, 42, 4] from Operation: 8-4=4
Current State: 76:[92, 42, 4], Operations: ['8-4=4']
Exploring Operation: 42*4=168, Resulting Numbers: [92, 168]
Generated Node #3: [92, 168] from Operation: 42*4=168
Current State: 76:[92, 168], Operations: ['8-4=4', '42*4=168']
Exploring Operation: 168-92=76, Resulting Numbers: [76]
76,76 equal: Goal Reached
| 4 |
[
60,
54,
46,
21
] | 73 | [
"60-54=6",
"46+21=67",
"6+67=73"
] | Current State: 73:[60, 54, 46, 21], Operations: []
Exploring Operation: 60-54=6, Resulting Numbers: [46, 21, 6]
Generated Node #2: [46, 21, 6] from Operation: 60-54=6
Current State: 73:[46, 21, 6], Operations: ['60-54=6']
Exploring Operation: 46+21=67, Resulting Numbers: [6, 67]
Generated Node #3: [6, 67] from Operation: 46+21=67
Current State: 73:[6, 67], Operations: ['60-54=6', '46+21=67']
Exploring Operation: 6+67=73, Resulting Numbers: [73]
73,73 equal: Goal Reached
| 4 |
[
29,
9,
88,
29
] | 78 | [
"29/29=1",
"88-9=79",
"79-1=78"
] | Current State: 78:[29, 9, 88, 29], Operations: []
Exploring Operation: 29/29=1, Resulting Numbers: [9, 88, 1]
Generated Node #2: [9, 88, 1] from Operation: 29/29=1
Current State: 78:[9, 88, 1], Operations: ['29/29=1']
Exploring Operation: 88-9=79, Resulting Numbers: [1, 79]
Generated Node #3: [1, 79] from Operation: 88-9=79
Current State: 78:[1, 79], Operations: ['29/29=1', '88-9=79']
Exploring Operation: 79-1=78, Resulting Numbers: [78]
78,78 equal: Goal Reached
| 4 |
[
43,
27,
28,
17
] | 81 | [
"43+27=70",
"28-17=11",
"70+11=81"
] | Current State: 81:[43, 27, 28, 17], Operations: []
Exploring Operation: 43+27=70, Resulting Numbers: [28, 17, 70]
Generated Node #2: [28, 17, 70] from Operation: 43+27=70
Current State: 81:[28, 17, 70], Operations: ['43+27=70']
Exploring Operation: 28-17=11, Resulting Numbers: [70, 11]
Generated Node #3: [70, 11] from Operation: 28-17=11
Current State: 81:[70, 11], Operations: ['43+27=70', '28-17=11']
Exploring Operation: 70+11=81, Resulting Numbers: [81]
81,81 equal: Goal Reached
| 4 |
[
43,
82,
84,
38
] | 33 | [
"84-82=2",
"38*2=76",
"76-43=33"
] | Current State: 33:[43, 82, 84, 38], Operations: []
Exploring Operation: 84-82=2, Resulting Numbers: [43, 38, 2]
Generated Node #2: [43, 38, 2] from Operation: 84-82=2
Current State: 33:[43, 38, 2], Operations: ['84-82=2']
Exploring Operation: 38*2=76, Resulting Numbers: [43, 76]
Generated Node #3: [43, 76] from Operation: 38*2=76
Current State: 33:[43, 76], Operations: ['84-82=2', '38*2=76']
Exploring Operation: 76-43=33, Resulting Numbers: [33]
33,33 equal: Goal Reached
| 4 |
[
28,
48,
25,
18
] | 90 | [
"48-28=20",
"25-20=5",
"18*5=90"
] | Current State: 90:[28, 48, 25, 18], Operations: []
Exploring Operation: 48-28=20, Resulting Numbers: [25, 18, 20]
Generated Node #2: [25, 18, 20] from Operation: 48-28=20
Current State: 90:[25, 18, 20], Operations: ['48-28=20']
Exploring Operation: 25-20=5, Resulting Numbers: [18, 5]
Generated Node #3: [18, 5] from Operation: 25-20=5
Current State: 90:[18, 5], Operations: ['48-28=20', '25-20=5']
Exploring Operation: 18*5=90, Resulting Numbers: [90]
90,90 equal: Goal Reached
| 4 |
[
9,
20,
91,
75
] | 27 | [
"20-9=11",
"91-75=16",
"11+16=27"
] | Current State: 27:[9, 20, 91, 75], Operations: []
Exploring Operation: 20-9=11, Resulting Numbers: [91, 75, 11]
Generated Node #2: [91, 75, 11] from Operation: 20-9=11
Current State: 27:[91, 75, 11], Operations: ['20-9=11']
Exploring Operation: 91-75=16, Resulting Numbers: [11, 16]
Generated Node #3: [11, 16] from Operation: 91-75=16
Current State: 27:[11, 16], Operations: ['20-9=11', '91-75=16']
Exploring Operation: 11+16=27, Resulting Numbers: [27]
27,27 equal: Goal Reached
| 4 |
[
18,
28,
63,
56
] | 12 | [
"18*56=1008",
"1008/63=16",
"28-16=12"
] | Current State: 12:[18, 28, 63, 56], Operations: []
Exploring Operation: 18*56=1008, Resulting Numbers: [28, 63, 1008]
Generated Node #2: [28, 63, 1008] from Operation: 18*56=1008
Current State: 12:[28, 63, 1008], Operations: ['18*56=1008']
Exploring Operation: 1008/63=16, Resulting Numbers: [28, 16]
Generated Node #3: [28, 16] from Operation: 1008/63=16
Current State: 12:[28, 16], Operations: ['18*56=1008', '1008/63=16']
Exploring Operation: 28-16=12, Resulting Numbers: [12]
12,12 equal: Goal Reached
| 4 |
[
96,
8,
2,
14
] | 52 | [
"96/8=12",
"14+12=26",
"2*26=52"
] | Current State: 52:[96, 8, 2, 14], Operations: []
Exploring Operation: 96/8=12, Resulting Numbers: [2, 14, 12]
Generated Node #2: [2, 14, 12] from Operation: 96/8=12
Current State: 52:[2, 14, 12], Operations: ['96/8=12']
Exploring Operation: 14+12=26, Resulting Numbers: [2, 26]
Generated Node #3: [2, 26] from Operation: 14+12=26
Current State: 52:[2, 26], Operations: ['96/8=12', '14+12=26']
Exploring Operation: 2*26=52, Resulting Numbers: [52]
52,52 equal: Goal Reached
| 4 |
[
26,
98,
75,
79
] | 76 | [
"98-26=72",
"79-75=4",
"72+4=76"
] | Current State: 76:[26, 98, 75, 79], Operations: []
Exploring Operation: 98-26=72, Resulting Numbers: [75, 79, 72]
Generated Node #2: [75, 79, 72] from Operation: 98-26=72
Current State: 76:[75, 79, 72], Operations: ['98-26=72']
Exploring Operation: 79-75=4, Resulting Numbers: [72, 4]
Generated Node #3: [72, 4] from Operation: 79-75=4
Current State: 76:[72, 4], Operations: ['98-26=72', '79-75=4']
Exploring Operation: 72+4=76, Resulting Numbers: [76]
76,76 equal: Goal Reached
| 4 |
[
3,
51,
51,
17
] | 19 | [
"3+17=20",
"51/51=1",
"20-1=19"
] | Current State: 19:[3, 51, 51, 17], Operations: []
Exploring Operation: 3+17=20, Resulting Numbers: [51, 51, 20]
Generated Node #2: [51, 51, 20] from Operation: 3+17=20
Current State: 19:[51, 51, 20], Operations: ['3+17=20']
Exploring Operation: 51/51=1, Resulting Numbers: [20, 1]
Generated Node #3: [20, 1] from Operation: 51/51=1
Current State: 19:[20, 1], Operations: ['3+17=20', '51/51=1']
Exploring Operation: 20-1=19, Resulting Numbers: [19]
19,19 equal: Goal Reached
| 4 |
[
66,
45,
60,
2
] | 41 | [
"66-45=21",
"60+2=62",
"62-21=41"
] | Current State: 41:[66, 45, 60, 2], Operations: []
Exploring Operation: 66-45=21, Resulting Numbers: [60, 2, 21]
Generated Node #2: [60, 2, 21] from Operation: 66-45=21
Current State: 41:[60, 2, 21], Operations: ['66-45=21']
Exploring Operation: 60+2=62, Resulting Numbers: [21, 62]
Generated Node #3: [21, 62] from Operation: 60+2=62
Current State: 41:[21, 62], Operations: ['66-45=21', '60+2=62']
Exploring Operation: 62-21=41, Resulting Numbers: [41]
41,41 equal: Goal Reached
| 4 |
[
25,
54,
42,
25
] | 11 | [
"25/25=1",
"54-42=12",
"12-1=11"
] | Current State: 11:[25, 54, 42, 25], Operations: []
Exploring Operation: 25/25=1, Resulting Numbers: [54, 42, 1]
Generated Node #2: [54, 42, 1] from Operation: 25/25=1
Current State: 11:[54, 42, 1], Operations: ['25/25=1']
Exploring Operation: 54-42=12, Resulting Numbers: [1, 12]
Generated Node #3: [1, 12] from Operation: 54-42=12
Current State: 11:[1, 12], Operations: ['25/25=1', '54-42=12']
Exploring Operation: 12-1=11, Resulting Numbers: [11]
11,11 equal: Goal Reached
| 4 |
[
4,
33,
3,
92
] | 99 | [
"92-4=88",
"33/3=11",
"88+11=99"
] | Current State: 99:[4, 33, 3, 92], Operations: []
Exploring Operation: 92-4=88, Resulting Numbers: [33, 3, 88]
Generated Node #2: [33, 3, 88] from Operation: 92-4=88
Current State: 99:[33, 3, 88], Operations: ['92-4=88']
Exploring Operation: 33/3=11, Resulting Numbers: [88, 11]
Generated Node #3: [88, 11] from Operation: 33/3=11
Current State: 99:[88, 11], Operations: ['92-4=88', '33/3=11']
Exploring Operation: 88+11=99, Resulting Numbers: [99]
99,99 equal: Goal Reached
| 4 |
[
23,
4,
24,
96
] | 93 | [
"23+4=27",
"24+96=120",
"120-27=93"
] | Current State: 93:[23, 4, 24, 96], Operations: []
Exploring Operation: 23+4=27, Resulting Numbers: [24, 96, 27]
Generated Node #2: [24, 96, 27] from Operation: 23+4=27
Current State: 93:[24, 96, 27], Operations: ['23+4=27']
Exploring Operation: 24+96=120, Resulting Numbers: [27, 120]
Generated Node #3: [27, 120] from Operation: 24+96=120
Current State: 93:[27, 120], Operations: ['23+4=27', '24+96=120']
Exploring Operation: 120-27=93, Resulting Numbers: [93]
93,93 equal: Goal Reached
| 4 |
[
64,
39,
98,
10
] | 66 | [
"39+10=49",
"98/49=2",
"64+2=66"
] | Current State: 66:[64, 39, 98, 10], Operations: []
Exploring Operation: 39+10=49, Resulting Numbers: [64, 98, 49]
Generated Node #2: [64, 98, 49] from Operation: 39+10=49
Current State: 66:[64, 98, 49], Operations: ['39+10=49']
Exploring Operation: 98/49=2, Resulting Numbers: [64, 2]
Generated Node #3: [64, 2] from Operation: 98/49=2
Current State: 66:[64, 2], Operations: ['39+10=49', '98/49=2']
Exploring Operation: 64+2=66, Resulting Numbers: [66]
66,66 equal: Goal Reached
| 4 |
[
83,
27,
56,
87
] | 25 | [
"83-27=56",
"87-56=31",
"56-31=25"
] | Current State: 25:[83, 27, 56, 87], Operations: []
Exploring Operation: 83-27=56, Resulting Numbers: [56, 87, 56]
Generated Node #2: [56, 87, 56] from Operation: 83-27=56
Current State: 25:[56, 87, 56], Operations: ['83-27=56']
Exploring Operation: 87-56=31, Resulting Numbers: [31]
31,25 equal: Goal Reached
Exploring Operation: 56-31=25, Resulting Numbers: [25]
25,25 equal: Goal Reached
| 4 |
[
14,
42,
77,
17
] | 38 | [
"14+42=56",
"77+17=94",
"94-56=38"
] | Current State: 38:[14, 42, 77, 17], Operations: []
Exploring Operation: 14+42=56, Resulting Numbers: [77, 17, 56]
Generated Node #2: [77, 17, 56] from Operation: 14+42=56
Current State: 38:[77, 17, 56], Operations: ['14+42=56']
Exploring Operation: 77+17=94, Resulting Numbers: [56, 94]
Generated Node #3: [56, 94] from Operation: 77+17=94
Current State: 38:[56, 94], Operations: ['14+42=56', '77+17=94']
Exploring Operation: 94-56=38, Resulting Numbers: [38]
38,38 equal: Goal Reached
| 4 |
[
99,
11,
41,
11
] | 59 | [
"99-41=58",
"11/11=1",
"58+1=59"
] | Current State: 59:[99, 11, 41, 11], Operations: []
Exploring Operation: 99-41=58, Resulting Numbers: [11, 11, 58]
Generated Node #2: [11, 11, 58] from Operation: 99-41=58
Current State: 59:[11, 11, 58], Operations: ['99-41=58']
Exploring Operation: 11/11=1, Resulting Numbers: [58, 1]
Generated Node #3: [58, 1] from Operation: 11/11=1
Current State: 59:[58, 1], Operations: ['99-41=58', '11/11=1']
Exploring Operation: 58+1=59, Resulting Numbers: [59]
59,59 equal: Goal Reached
| 4 |
[
87,
78,
93,
73
] | 86 | [
"93-87=6",
"78/6=13",
"73+13=86"
] | Current State: 86:[87, 78, 93, 73], Operations: []
Exploring Operation: 93-87=6, Resulting Numbers: [78, 73, 6]
Generated Node #2: [78, 73, 6] from Operation: 93-87=6
Current State: 86:[78, 73, 6], Operations: ['93-87=6']
Exploring Operation: 78/6=13, Resulting Numbers: [73, 13]
Generated Node #3: [73, 13] from Operation: 78/6=13
Current State: 86:[73, 13], Operations: ['93-87=6', '78/6=13']
Exploring Operation: 73+13=86, Resulting Numbers: [86]
86,86 equal: Goal Reached
| 4 |
[
86,
94,
21,
16
] | 70 | [
"86*16=1376",
"94+1376=1470",
"1470/21=70"
] | Current State: 70:[86, 94, 21, 16], Operations: []
Exploring Operation: 86*16=1376, Resulting Numbers: [94, 21, 1376]
Generated Node #2: [94, 21, 1376] from Operation: 86*16=1376
Current State: 70:[94, 21, 1376], Operations: ['86*16=1376']
Exploring Operation: 94+1376=1470, Resulting Numbers: [21, 1470]
Generated Node #3: [21, 1470] from Operation: 94+1376=1470
Current State: 70:[21, 1470], Operations: ['86*16=1376', '94+1376=1470']
Exploring Operation: 1470/21=70, Resulting Numbers: [70]
70,70 equal: Goal Reached
| 4 |
[
81,
60,
82,
23
] | 81 | [
"82-60=22",
"23-22=1",
"81*1=81"
] | Current State: 81:[81, 60, 82, 23], Operations: []
Exploring Operation: 82-60=22, Resulting Numbers: [81, 23, 22]
Generated Node #2: [81, 23, 22] from Operation: 82-60=22
Current State: 81:[81, 23, 22], Operations: ['82-60=22']
Exploring Operation: 23-22=1, Resulting Numbers: [81, 1]
Generated Node #3: [81, 1] from Operation: 23-22=1
Current State: 81:[81, 1], Operations: ['82-60=22', '23-22=1']
Exploring Operation: 81*1=81, Resulting Numbers: [81]
81,81 equal: Goal Reached
| 4 |
[
1,
59,
99,
88
] | 49 | [
"1+59=60",
"99-88=11",
"60-11=49"
] | Current State: 49:[1, 59, 99, 88], Operations: []
Exploring Operation: 1+59=60, Resulting Numbers: [99, 88, 60]
Generated Node #2: [99, 88, 60] from Operation: 1+59=60
Current State: 49:[99, 88, 60], Operations: ['1+59=60']
Exploring Operation: 99-88=11, Resulting Numbers: [60, 11]
Generated Node #3: [60, 11] from Operation: 99-88=11
Current State: 49:[60, 11], Operations: ['1+59=60', '99-88=11']
Exploring Operation: 60-11=49, Resulting Numbers: [49]
49,49 equal: Goal Reached
| 4 |
[
59,
24,
41,
47
] | 55 | [
"47-41=6",
"24/6=4",
"59-4=55"
] | Current State: 55:[59, 24, 41, 47], Operations: []
Exploring Operation: 47-41=6, Resulting Numbers: [59, 24, 6]
Generated Node #2: [59, 24, 6] from Operation: 47-41=6
Current State: 55:[59, 24, 6], Operations: ['47-41=6']
Exploring Operation: 24/6=4, Resulting Numbers: [59, 4]
Generated Node #3: [59, 4] from Operation: 24/6=4
Current State: 55:[59, 4], Operations: ['47-41=6', '24/6=4']
Exploring Operation: 59-4=55, Resulting Numbers: [55]
55,55 equal: Goal Reached
| 4 |
[
63,
19,
36,
80
] | 38 | [
"63+19=82",
"80-36=44",
"82-44=38"
] | Current State: 38:[63, 19, 36, 80], Operations: []
Exploring Operation: 63+19=82, Resulting Numbers: [36, 80, 82]
Generated Node #2: [36, 80, 82] from Operation: 63+19=82
Current State: 38:[36, 80, 82], Operations: ['63+19=82']
Exploring Operation: 80-36=44, Resulting Numbers: [82, 44]
Generated Node #3: [82, 44] from Operation: 80-36=44
Current State: 38:[82, 44], Operations: ['63+19=82', '80-36=44']
Exploring Operation: 82-44=38, Resulting Numbers: [38]
38,38 equal: Goal Reached
| 4 |
[
51,
43,
71,
91
] | 41 | [
"51+91=142",
"142/71=2",
"43-2=41"
] | Current State: 41:[51, 43, 71, 91], Operations: []
Exploring Operation: 51+91=142, Resulting Numbers: [43, 71, 142]
Generated Node #2: [43, 71, 142] from Operation: 51+91=142
Current State: 41:[43, 71, 142], Operations: ['51+91=142']
Exploring Operation: 142/71=2, Resulting Numbers: [43, 2]
Generated Node #3: [43, 2] from Operation: 142/71=2
Current State: 41:[43, 2], Operations: ['51+91=142', '142/71=2']
Exploring Operation: 43-2=41, Resulting Numbers: [41]
41,41 equal: Goal Reached
| 4 |
[
87,
58,
55,
47
] | 12 | [
"55-47=8",
"87*8=696",
"696/58=12"
] | Current State: 12:[87, 58, 55, 47], Operations: []
Exploring Operation: 55-47=8, Resulting Numbers: [87, 58, 8]
Generated Node #2: [87, 58, 8] from Operation: 55-47=8
Current State: 12:[87, 58, 8], Operations: ['55-47=8']
Exploring Operation: 87*8=696, Resulting Numbers: [58, 696]
Generated Node #3: [58, 696] from Operation: 87*8=696
Current State: 12:[58, 696], Operations: ['55-47=8', '87*8=696']
Exploring Operation: 696/58=12, Resulting Numbers: [12]
12,12 equal: Goal Reached
| 4 |
[
81,
80,
8,
77
] | 19 | [
"80-77=3",
"81/3=27",
"27-8=19"
] | Current State: 19:[81, 80, 8, 77], Operations: []
Exploring Operation: 80-77=3, Resulting Numbers: [81, 8, 3]
Generated Node #2: [81, 8, 3] from Operation: 80-77=3
Current State: 19:[81, 8, 3], Operations: ['80-77=3']
Exploring Operation: 81/3=27, Resulting Numbers: [8, 27]
Generated Node #3: [8, 27] from Operation: 81/3=27
Current State: 19:[8, 27], Operations: ['80-77=3', '81/3=27']
Exploring Operation: 27-8=19, Resulting Numbers: [19]
19,19 equal: Goal Reached
| 4 |
[
82,
98,
54,
32
] | 70 | [
"98-82=16",
"54+32=86",
"86-16=70"
] | Current State: 70:[82, 98, 54, 32], Operations: []
Exploring Operation: 98-82=16, Resulting Numbers: [54, 32, 16]
Generated Node #2: [54, 32, 16] from Operation: 98-82=16
Current State: 70:[54, 32, 16], Operations: ['98-82=16']
Exploring Operation: 54+32=86, Resulting Numbers: [16, 86]
Generated Node #3: [16, 86] from Operation: 54+32=86
Current State: 70:[16, 86], Operations: ['98-82=16', '54+32=86']
Exploring Operation: 86-16=70, Resulting Numbers: [70]
70,70 equal: Goal Reached
| 4 |
[
54,
26,
25,
94
] | 40 | [
"94-54=40",
"26-25=1",
"40*1=40"
] | Current State: 40:[54, 26, 25, 94], Operations: []
Exploring Operation: 94-54=40, Resulting Numbers: [26, 25, 40]
Generated Node #2: [26, 25, 40] from Operation: 94-54=40
Current State: 40:[26, 25, 40], Operations: ['94-54=40']
Exploring Operation: 26-25=1, Resulting Numbers: [40, 1]
Generated Node #3: [40, 1] from Operation: 26-25=1
Current State: 40:[40, 1], Operations: ['94-54=40', '26-25=1']
Exploring Operation: 40*1=40, Resulting Numbers: [40]
40,40 equal: Goal Reached
| 4 |
[
96,
39,
73,
97
] | 35 | [
"96+39=135",
"73+97=170",
"170-135=35"
] | Current State: 35:[96, 39, 73, 97], Operations: []
Exploring Operation: 96+39=135, Resulting Numbers: [73, 97, 135]
Generated Node #2: [73, 97, 135] from Operation: 96+39=135
Current State: 35:[73, 97, 135], Operations: ['96+39=135']
Exploring Operation: 73+97=170, Resulting Numbers: [135, 170]
Generated Node #3: [135, 170] from Operation: 73+97=170
Current State: 35:[135, 170], Operations: ['96+39=135', '73+97=170']
Exploring Operation: 170-135=35, Resulting Numbers: [35]
35,35 equal: Goal Reached
| 4 |
[
93,
10,
34,
3
] | 55 | [
"93/3=31",
"34-10=24",
"31+24=55"
] | Current State: 55:[93, 10, 34, 3], Operations: []
Exploring Operation: 93/3=31, Resulting Numbers: [10, 34, 31]
Generated Node #2: [10, 34, 31] from Operation: 93/3=31
Current State: 55:[10, 34, 31], Operations: ['93/3=31']
Exploring Operation: 34-10=24, Resulting Numbers: [31, 24]
Generated Node #3: [31, 24] from Operation: 34-10=24
Current State: 55:[31, 24], Operations: ['93/3=31', '34-10=24']
Exploring Operation: 31+24=55, Resulting Numbers: [55]
55,55 equal: Goal Reached
| 4 |
[
92,
72,
47,
94
] | 10 | [
"92-72=20",
"94/47=2",
"20/2=10"
] | Current State: 10:[92, 72, 47, 94], Operations: []
Exploring Operation: 92-72=20, Resulting Numbers: [47, 94, 20]
Generated Node #2: [47, 94, 20] from Operation: 92-72=20
Current State: 10:[47, 94, 20], Operations: ['92-72=20']
Exploring Operation: 94/47=2, Resulting Numbers: [20, 2]
Generated Node #3: [20, 2] from Operation: 94/47=2
Current State: 10:[20, 2], Operations: ['92-72=20', '94/47=2']
Exploring Operation: 20/2=10, Resulting Numbers: [10]
10,10 equal: Goal Reached
| 4 |
[
68,
18,
55,
79
] | 51 | [
"68*18=1224",
"79-55=24",
"1224/24=51"
] | Current State: 51:[68, 18, 55, 79], Operations: []
Exploring Operation: 68*18=1224, Resulting Numbers: [55, 79, 1224]
Generated Node #2: [55, 79, 1224] from Operation: 68*18=1224
Current State: 51:[55, 79, 1224], Operations: ['68*18=1224']
Exploring Operation: 79-55=24, Resulting Numbers: [1224, 24]
Generated Node #3: [1224, 24] from Operation: 79-55=24
Current State: 51:[1224, 24], Operations: ['68*18=1224', '79-55=24']
Exploring Operation: 1224/24=51, Resulting Numbers: [51]
51,51 equal: Goal Reached
| 4 |
[
95,
49,
70,
14
] | 51 | [
"95-49=46",
"70/14=5",
"46+5=51"
] | Current State: 51:[95, 49, 70, 14], Operations: []
Exploring Operation: 95-49=46, Resulting Numbers: [70, 14, 46]
Generated Node #2: [70, 14, 46] from Operation: 95-49=46
Current State: 51:[70, 14, 46], Operations: ['95-49=46']
Exploring Operation: 70/14=5, Resulting Numbers: [46, 5]
Generated Node #3: [46, 5] from Operation: 70/14=5
Current State: 51:[46, 5], Operations: ['95-49=46', '70/14=5']
Exploring Operation: 46+5=51, Resulting Numbers: [51]
51,51 equal: Goal Reached
| 4 |
[
61,
12,
62,
67
] | 31 | [
"67-61=6",
"12/6=2",
"62/2=31"
] | Current State: 31:[61, 12, 62, 67], Operations: []
Exploring Operation: 67-61=6, Resulting Numbers: [12, 62, 6]
Generated Node #2: [12, 62, 6] from Operation: 67-61=6
Current State: 31:[12, 62, 6], Operations: ['67-61=6']
Exploring Operation: 12/6=2, Resulting Numbers: [62, 2]
Generated Node #3: [62, 2] from Operation: 12/6=2
Current State: 31:[62, 2], Operations: ['67-61=6', '12/6=2']
Exploring Operation: 62/2=31, Resulting Numbers: [31]
31,31 equal: Goal Reached
| 4 |
[
23,
85,
3,
54
] | 80 | [
"85-23=62",
"54/3=18",
"62+18=80"
] | Current State: 80:[23, 85, 3, 54], Operations: []
Exploring Operation: 85-23=62, Resulting Numbers: [3, 54, 62]
Generated Node #2: [3, 54, 62] from Operation: 85-23=62
Current State: 80:[3, 54, 62], Operations: ['85-23=62']
Exploring Operation: 54/3=18, Resulting Numbers: [62, 18]
Generated Node #3: [62, 18] from Operation: 54/3=18
Current State: 80:[62, 18], Operations: ['85-23=62', '54/3=18']
Exploring Operation: 62+18=80, Resulting Numbers: [80]
80,80 equal: Goal Reached
| 4 |
[
12,
5,
40,
4
] | 16 | [
"12*5=60",
"40+4=44",
"60-44=16"
] | Current State: 16:[12, 5, 40, 4], Operations: []
Exploring Operation: 12*5=60, Resulting Numbers: [40, 4, 60]
Generated Node #2: [40, 4, 60] from Operation: 12*5=60
Current State: 16:[40, 4, 60], Operations: ['12*5=60']
Exploring Operation: 40+4=44, Resulting Numbers: [60, 44]
Generated Node #3: [60, 44] from Operation: 40+4=44
Current State: 16:[60, 44], Operations: ['12*5=60', '40+4=44']
Exploring Operation: 60-44=16, Resulting Numbers: [16]
16,16 equal: Goal Reached
| 4 |
[
20,
30,
13,
34
] | 64 | [
"30*34=1020",
"1020/20=51",
"13+51=64"
] | Current State: 64:[20, 30, 13, 34], Operations: []
Exploring Operation: 30*34=1020, Resulting Numbers: [20, 13, 1020]
Generated Node #2: [20, 13, 1020] from Operation: 30*34=1020
Current State: 64:[20, 13, 1020], Operations: ['30*34=1020']
Exploring Operation: 1020/20=51, Resulting Numbers: [13, 51]
Generated Node #3: [13, 51] from Operation: 1020/20=51
Current State: 64:[13, 51], Operations: ['30*34=1020', '1020/20=51']
Exploring Operation: 13+51=64, Resulting Numbers: [64]
64,64 equal: Goal Reached
| 4 |
[
74,
88,
17,
8
] | 11 | [
"88-74=14",
"17+8=25",
"25-14=11"
] | Current State: 11:[74, 88, 17, 8], Operations: []
Exploring Operation: 88-74=14, Resulting Numbers: [17, 8, 14]
Generated Node #2: [17, 8, 14] from Operation: 88-74=14
Current State: 11:[17, 8, 14], Operations: ['88-74=14']
Exploring Operation: 17+8=25, Resulting Numbers: [14, 25]
Generated Node #3: [14, 25] from Operation: 17+8=25
Current State: 11:[14, 25], Operations: ['88-74=14', '17+8=25']
Exploring Operation: 25-14=11, Resulting Numbers: [11]
11,11 equal: Goal Reached
| 4 |
[
10,
19,
40,
5
] | 28 | [
"40/10=4",
"19+5=24",
"4+24=28"
] | Current State: 28:[10, 19, 40, 5], Operations: []
Exploring Operation: 40/10=4, Resulting Numbers: [19, 5, 4]
Generated Node #2: [19, 5, 4] from Operation: 40/10=4
Current State: 28:[19, 5, 4], Operations: ['40/10=4']
Exploring Operation: 19+5=24, Resulting Numbers: [4, 24]
Generated Node #3: [4, 24] from Operation: 19+5=24
Current State: 28:[4, 24], Operations: ['40/10=4', '19+5=24']
Exploring Operation: 4+24=28, Resulting Numbers: [28]
28,28 equal: Goal Reached
| 4 |
[
42,
9,
71,
81
] | 61 | [
"42+9=51",
"81-71=10",
"51+10=61"
] | Current State: 61:[42, 9, 71, 81], Operations: []
Exploring Operation: 42+9=51, Resulting Numbers: [71, 81, 51]
Generated Node #2: [71, 81, 51] from Operation: 42+9=51
Current State: 61:[71, 81, 51], Operations: ['42+9=51']
Exploring Operation: 81-71=10, Resulting Numbers: [51, 10]
Generated Node #3: [51, 10] from Operation: 81-71=10
Current State: 61:[51, 10], Operations: ['42+9=51', '81-71=10']
Exploring Operation: 51+10=61, Resulting Numbers: [61]
61,61 equal: Goal Reached
| 4 |
[
73,
12,
31,
91
] | 68 | [
"91-31=60",
"60/12=5",
"73-5=68"
] | Current State: 68:[73, 12, 31, 91], Operations: []
Exploring Operation: 91-31=60, Resulting Numbers: [73, 12, 60]
Generated Node #2: [73, 12, 60] from Operation: 91-31=60
Current State: 68:[73, 12, 60], Operations: ['91-31=60']
Exploring Operation: 60/12=5, Resulting Numbers: [73, 5]
Generated Node #3: [73, 5] from Operation: 60/12=5
Current State: 68:[73, 5], Operations: ['91-31=60', '60/12=5']
Exploring Operation: 73-5=68, Resulting Numbers: [68]
68,68 equal: Goal Reached
| 4 |
[
2,
65,
73,
13
] | 35 | [
"73-13=60",
"60/2=30",
"65-30=35"
] | Current State: 35:[2, 65, 73, 13], Operations: []
Exploring Operation: 73-13=60, Resulting Numbers: [2, 65, 60]
Generated Node #2: [2, 65, 60] from Operation: 73-13=60
Current State: 35:[2, 65, 60], Operations: ['73-13=60']
Exploring Operation: 60/2=30, Resulting Numbers: [65, 30]
Generated Node #3: [65, 30] from Operation: 60/2=30
Current State: 35:[65, 30], Operations: ['73-13=60', '60/2=30']
Exploring Operation: 65-30=35, Resulting Numbers: [35]
35,35 equal: Goal Reached
| 4 |
[
36,
26,
79,
7
] | 62 | [
"36-26=10",
"79-7=72",
"72-10=62"
] | Current State: 62:[36, 26, 79, 7], Operations: []
Exploring Operation: 36-26=10, Resulting Numbers: [79, 7, 10]
Generated Node #2: [79, 7, 10] from Operation: 36-26=10
Current State: 62:[79, 7, 10], Operations: ['36-26=10']
Exploring Operation: 79-7=72, Resulting Numbers: [10, 72]
Generated Node #3: [10, 72] from Operation: 79-7=72
Current State: 62:[10, 72], Operations: ['36-26=10', '79-7=72']
Exploring Operation: 72-10=62, Resulting Numbers: [62]
62,62 equal: Goal Reached
| 4 |
[
42,
50,
18,
8
] | 66 | [
"42+50=92",
"18+8=26",
"92-26=66"
] | Current State: 66:[42, 50, 18, 8], Operations: []
Exploring Operation: 42+50=92, Resulting Numbers: [18, 8, 92]
Generated Node #2: [18, 8, 92] from Operation: 42+50=92
Current State: 66:[18, 8, 92], Operations: ['42+50=92']
Exploring Operation: 18+8=26, Resulting Numbers: [92, 26]
Generated Node #3: [92, 26] from Operation: 18+8=26
Current State: 66:[92, 26], Operations: ['42+50=92', '18+8=26']
Exploring Operation: 92-26=66, Resulting Numbers: [66]
66,66 equal: Goal Reached
| 4 |
[
12,
39,
59,
62
] | 30 | [
"39-12=27",
"62-59=3",
"27+3=30"
] | Current State: 30:[12, 39, 59, 62], Operations: []
Exploring Operation: 39-12=27, Resulting Numbers: [59, 62, 27]
Generated Node #2: [59, 62, 27] from Operation: 39-12=27
Current State: 30:[59, 62, 27], Operations: ['39-12=27']
Exploring Operation: 62-59=3, Resulting Numbers: [27, 3]
Generated Node #3: [27, 3] from Operation: 62-59=3
Current State: 30:[27, 3], Operations: ['39-12=27', '62-59=3']
Exploring Operation: 27+3=30, Resulting Numbers: [30]
30,30 equal: Goal Reached
| 4 |
[
72,
97,
28,
36
] | 41 | [
"72*28=2016",
"2016/36=56",
"97-56=41"
] | Current State: 41:[72, 97, 28, 36], Operations: []
Exploring Operation: 72*28=2016, Resulting Numbers: [97, 36, 2016]
Generated Node #2: [97, 36, 2016] from Operation: 72*28=2016
Current State: 41:[97, 36, 2016], Operations: ['72*28=2016']
Exploring Operation: 2016/36=56, Resulting Numbers: [97, 56]
Generated Node #3: [97, 56] from Operation: 2016/36=56
Current State: 41:[97, 56], Operations: ['72*28=2016', '2016/36=56']
Exploring Operation: 97-56=41, Resulting Numbers: [41]
41,41 equal: Goal Reached
| 4 |
[
28,
52,
55,
3
] | 23 | [
"28*3=84",
"52+55=107",
"107-84=23"
] | Current State: 23:[28, 52, 55, 3], Operations: []
Exploring Operation: 28*3=84, Resulting Numbers: [52, 55, 84]
Generated Node #2: [52, 55, 84] from Operation: 28*3=84
Current State: 23:[52, 55, 84], Operations: ['28*3=84']
Exploring Operation: 52+55=107, Resulting Numbers: [84, 107]
Generated Node #3: [84, 107] from Operation: 52+55=107
Current State: 23:[84, 107], Operations: ['28*3=84', '52+55=107']
Exploring Operation: 107-84=23, Resulting Numbers: [23]
23,23 equal: Goal Reached
| 4 |
[
54,
92,
29,
50
] | 52 | [
"54-50=4",
"92/4=23",
"29+23=52"
] | Current State: 52:[54, 92, 29, 50], Operations: []
Exploring Operation: 54-50=4, Resulting Numbers: [92, 29, 4]
Generated Node #2: [92, 29, 4] from Operation: 54-50=4
Current State: 52:[92, 29, 4], Operations: ['54-50=4']
Exploring Operation: 92/4=23, Resulting Numbers: [29, 23]
Generated Node #3: [29, 23] from Operation: 92/4=23
Current State: 52:[29, 23], Operations: ['54-50=4', '92/4=23']
Exploring Operation: 29+23=52, Resulting Numbers: [52]
52,52 equal: Goal Reached
| 4 |
[
13,
52,
36,
84
] | 44 | [
"52/13=4",
"84-36=48",
"48-4=44"
] | Current State: 44:[13, 52, 36, 84], Operations: []
Exploring Operation: 52/13=4, Resulting Numbers: [36, 84, 4]
Generated Node #2: [36, 84, 4] from Operation: 52/13=4
Current State: 44:[36, 84, 4], Operations: ['52/13=4']
Exploring Operation: 84-36=48, Resulting Numbers: [4, 48]
Generated Node #3: [4, 48] from Operation: 84-36=48
Current State: 44:[4, 48], Operations: ['52/13=4', '84-36=48']
Exploring Operation: 48-4=44, Resulting Numbers: [44]
44,44 equal: Goal Reached
| 4 |
[
40,
37,
46,
17
] | 65 | [
"46-40=6",
"17*6=102",
"102-37=65"
] | Current State: 65:[40, 37, 46, 17], Operations: []
Exploring Operation: 46-40=6, Resulting Numbers: [37, 17, 6]
Generated Node #2: [37, 17, 6] from Operation: 46-40=6
Current State: 65:[37, 17, 6], Operations: ['46-40=6']
Exploring Operation: 17*6=102, Resulting Numbers: [37, 102]
Generated Node #3: [37, 102] from Operation: 17*6=102
Current State: 65:[37, 102], Operations: ['46-40=6', '17*6=102']
Exploring Operation: 102-37=65, Resulting Numbers: [65]
65,65 equal: Goal Reached
| 4 |
[
43,
15,
9,
50
] | 31 | [
"43-15=28",
"9+50=59",
"59-28=31"
] | Current State: 31:[43, 15, 9, 50], Operations: []
Exploring Operation: 43-15=28, Resulting Numbers: [9, 50, 28]
Generated Node #2: [9, 50, 28] from Operation: 43-15=28
Current State: 31:[9, 50, 28], Operations: ['43-15=28']
Exploring Operation: 9+50=59, Resulting Numbers: [28, 59]
Generated Node #3: [28, 59] from Operation: 9+50=59
Current State: 31:[28, 59], Operations: ['43-15=28', '9+50=59']
Exploring Operation: 59-28=31, Resulting Numbers: [31]
31,31 equal: Goal Reached
| 4 |
[
18,
57,
15,
51
] | 47 | [
"57+15=72",
"72/18=4",
"51-4=47"
] | Current State: 47:[18, 57, 15, 51], Operations: []
Exploring Operation: 57+15=72, Resulting Numbers: [18, 51, 72]
Generated Node #2: [18, 51, 72] from Operation: 57+15=72
Current State: 47:[18, 51, 72], Operations: ['57+15=72']
Exploring Operation: 72/18=4, Resulting Numbers: [51, 4]
Generated Node #3: [51, 4] from Operation: 72/18=4
Current State: 47:[51, 4], Operations: ['57+15=72', '72/18=4']
Exploring Operation: 51-4=47, Resulting Numbers: [47]
47,47 equal: Goal Reached
| 4 |
[
98,
51,
90,
39
] | 99 | [
"90-51=39",
"39/39=1",
"98+1=99"
] | Current State: 99:[98, 51, 90, 39], Operations: []
Exploring Operation: 90-51=39, Resulting Numbers: [98, 39, 39]
Generated Node #2: [98, 39, 39] from Operation: 90-51=39
Current State: 99:[98, 39, 39], Operations: ['90-51=39']
Exploring Operation: 39/39=1, Resulting Numbers: [98, 1]
Generated Node #3: [98, 1] from Operation: 39/39=1
Current State: 99:[98, 1], Operations: ['90-51=39', '39/39=1']
Exploring Operation: 98+1=99, Resulting Numbers: [99]
99,99 equal: Goal Reached
| 4 |
[
72,
8,
68,
53
] | 57 | [
"72-8=64",
"68+53=121",
"121-64=57"
] | Current State: 57:[72, 8, 68, 53], Operations: []
Exploring Operation: 72-8=64, Resulting Numbers: [68, 53, 64]
Generated Node #2: [68, 53, 64] from Operation: 72-8=64
Current State: 57:[68, 53, 64], Operations: ['72-8=64']
Exploring Operation: 68+53=121, Resulting Numbers: [64, 121]
Generated Node #3: [64, 121] from Operation: 68+53=121
Current State: 57:[64, 121], Operations: ['72-8=64', '68+53=121']
Exploring Operation: 121-64=57, Resulting Numbers: [57]
57,57 equal: Goal Reached
| 4 |
[
36,
81,
43,
8
] | 82 | [
"36+81=117",
"43-8=35",
"117-35=82"
] | Current State: 82:[36, 81, 43, 8], Operations: []
Exploring Operation: 36+81=117, Resulting Numbers: [43, 8, 117]
Generated Node #2: [43, 8, 117] from Operation: 36+81=117
Current State: 82:[43, 8, 117], Operations: ['36+81=117']
Exploring Operation: 43-8=35, Resulting Numbers: [117, 35]
Generated Node #3: [117, 35] from Operation: 43-8=35
Current State: 82:[117, 35], Operations: ['36+81=117', '43-8=35']
Exploring Operation: 117-35=82, Resulting Numbers: [82]
82,82 equal: Goal Reached
| 4 |
[
25,
16,
87,
57
] | 34 | [
"87+57=144",
"144/16=9",
"25+9=34"
] | Current State: 34:[25, 16, 87, 57], Operations: []
Exploring Operation: 87+57=144, Resulting Numbers: [25, 16, 144]
Generated Node #2: [25, 16, 144] from Operation: 87+57=144
Current State: 34:[25, 16, 144], Operations: ['87+57=144']
Exploring Operation: 144/16=9, Resulting Numbers: [25, 9]
Generated Node #3: [25, 9] from Operation: 144/16=9
Current State: 34:[25, 9], Operations: ['87+57=144', '144/16=9']
Exploring Operation: 25+9=34, Resulting Numbers: [34]
34,34 equal: Goal Reached
| 4 |
[
61,
49,
68,
90
] | 34 | [
"61-49=12",
"90-68=22",
"12+22=34"
] | Current State: 34:[61, 49, 68, 90], Operations: []
Exploring Operation: 61-49=12, Resulting Numbers: [68, 90, 12]
Generated Node #2: [68, 90, 12] from Operation: 61-49=12
Current State: 34:[68, 90, 12], Operations: ['61-49=12']
Exploring Operation: 90-68=22, Resulting Numbers: [12, 22]
Generated Node #3: [12, 22] from Operation: 90-68=22
Current State: 34:[12, 22], Operations: ['61-49=12', '90-68=22']
Exploring Operation: 12+22=34, Resulting Numbers: [34]
34,34 equal: Goal Reached
| 4 |
[
91,
29,
64,
71
] | 69 | [
"91-29=62",
"71-64=7",
"62+7=69"
] | Current State: 69:[91, 29, 64, 71], Operations: []
Exploring Operation: 91-29=62, Resulting Numbers: [64, 71, 62]
Generated Node #2: [64, 71, 62] from Operation: 91-29=62
Current State: 69:[64, 71, 62], Operations: ['91-29=62']
Exploring Operation: 71-64=7, Resulting Numbers: [62, 7]
Generated Node #3: [62, 7] from Operation: 71-64=7
Current State: 69:[62, 7], Operations: ['91-29=62', '71-64=7']
Exploring Operation: 62+7=69, Resulting Numbers: [69]
69,69 equal: Goal Reached
| 4 |
[
49,
19,
63,
62
] | 69 | [
"49+19=68",
"63-62=1",
"68+1=69"
] | Current State: 69:[49, 19, 63, 62], Operations: []
Exploring Operation: 49+19=68, Resulting Numbers: [63, 62, 68]
Generated Node #2: [63, 62, 68] from Operation: 49+19=68
Current State: 69:[63, 62, 68], Operations: ['49+19=68']
Exploring Operation: 63-62=1, Resulting Numbers: [68, 1]
Generated Node #3: [68, 1] from Operation: 63-62=1
Current State: 69:[68, 1], Operations: ['49+19=68', '63-62=1']
Exploring Operation: 68+1=69, Resulting Numbers: [69]
69,69 equal: Goal Reached
| 4 |
[
26,
92,
36,
19
] | 49 | [
"92-26=66",
"36-19=17",
"66-17=49"
] | Current State: 49:[26, 92, 36, 19], Operations: []
Exploring Operation: 92-26=66, Resulting Numbers: [36, 19, 66]
Generated Node #2: [36, 19, 66] from Operation: 92-26=66
Current State: 49:[36, 19, 66], Operations: ['92-26=66']
Exploring Operation: 36-19=17, Resulting Numbers: [66, 17]
Generated Node #3: [66, 17] from Operation: 36-19=17
Current State: 49:[66, 17], Operations: ['92-26=66', '36-19=17']
Exploring Operation: 66-17=49, Resulting Numbers: [49]
49,49 equal: Goal Reached
| 4 |
[
17,
82,
3,
6
] | 27 | [
"17+82=99",
"99/3=33",
"33-6=27"
] | Current State: 27:[17, 82, 3, 6], Operations: []
Exploring Operation: 17+82=99, Resulting Numbers: [3, 6, 99]
Generated Node #2: [3, 6, 99] from Operation: 17+82=99
Current State: 27:[3, 6, 99], Operations: ['17+82=99']
Exploring Operation: 99/3=33, Resulting Numbers: [6, 33]
Generated Node #3: [6, 33] from Operation: 99/3=33
Current State: 27:[6, 33], Operations: ['17+82=99', '99/3=33']
Exploring Operation: 33-6=27, Resulting Numbers: [27]
27,27 equal: Goal Reached
| 4 |
[
68,
77,
54,
42
] | 31 | [
"77*54=4158",
"4158/42=99",
"99-68=31"
] | Current State: 31:[68, 77, 54, 42], Operations: []
Exploring Operation: 77*54=4158, Resulting Numbers: [68, 42, 4158]
Generated Node #2: [68, 42, 4158] from Operation: 77*54=4158
Current State: 31:[68, 42, 4158], Operations: ['77*54=4158']
Exploring Operation: 4158/42=99, Resulting Numbers: [68, 99]
Generated Node #3: [68, 99] from Operation: 4158/42=99
Current State: 31:[68, 99], Operations: ['77*54=4158', '4158/42=99']
Exploring Operation: 99-68=31, Resulting Numbers: [31]
31,31 equal: Goal Reached
| 4 |
[
81,
10,
65,
52
] | 58 | [
"81-10=71",
"65-52=13",
"71-13=58"
] | Current State: 58:[81, 10, 65, 52], Operations: []
Exploring Operation: 81-10=71, Resulting Numbers: [65, 52, 71]
Generated Node #2: [65, 52, 71] from Operation: 81-10=71
Current State: 58:[65, 52, 71], Operations: ['81-10=71']
Exploring Operation: 65-52=13, Resulting Numbers: [71, 13]
Generated Node #3: [71, 13] from Operation: 65-52=13
Current State: 58:[71, 13], Operations: ['81-10=71', '65-52=13']
Exploring Operation: 71-13=58, Resulting Numbers: [58]
58,58 equal: Goal Reached
| 4 |
[
10,
82,
68,
77
] | 73 | [
"82-10=72",
"68+77=145",
"145-72=73"
] | Current State: 73:[10, 82, 68, 77], Operations: []
Exploring Operation: 82-10=72, Resulting Numbers: [68, 77, 72]
Generated Node #2: [68, 77, 72] from Operation: 82-10=72
Current State: 73:[68, 77, 72], Operations: ['82-10=72']
Exploring Operation: 68+77=145, Resulting Numbers: [72, 145]
Generated Node #3: [72, 145] from Operation: 68+77=145
Current State: 73:[72, 145], Operations: ['82-10=72', '68+77=145']
Exploring Operation: 145-72=73, Resulting Numbers: [73]
73,73 equal: Goal Reached
| 4 |
[
6,
16,
30,
21
] | 89 | [
"30/6=5",
"21*5=105",
"105-16=89"
] | Current State: 89:[6, 16, 30, 21], Operations: []
Exploring Operation: 30/6=5, Resulting Numbers: [16, 21, 5]
Generated Node #2: [16, 21, 5] from Operation: 30/6=5
Current State: 89:[16, 21, 5], Operations: ['30/6=5']
Exploring Operation: 21*5=105, Resulting Numbers: [16, 105]
Generated Node #3: [16, 105] from Operation: 21*5=105
Current State: 89:[16, 105], Operations: ['30/6=5', '21*5=105']
Exploring Operation: 105-16=89, Resulting Numbers: [89]
89,89 equal: Goal Reached
| 4 |
[
68,
9,
99,
15
] | 42 | [
"68-15=53",
"99/9=11",
"53-11=42"
] | Current State: 42:[68, 9, 99, 15], Operations: []
Exploring Operation: 68-15=53, Resulting Numbers: [9, 99, 53]
Generated Node #2: [9, 99, 53] from Operation: 68-15=53
Current State: 42:[9, 99, 53], Operations: ['68-15=53']
Exploring Operation: 99/9=11, Resulting Numbers: [53, 11]
Generated Node #3: [53, 11] from Operation: 99/9=11
Current State: 42:[53, 11], Operations: ['68-15=53', '99/9=11']
Exploring Operation: 53-11=42, Resulting Numbers: [42]
42,42 equal: Goal Reached
| 4 |
[
69,
50,
52,
36
] | 87 | [
"52-50=2",
"36/2=18",
"69+18=87"
] | Current State: 87:[69, 50, 52, 36], Operations: []
Exploring Operation: 52-50=2, Resulting Numbers: [69, 36, 2]
Generated Node #2: [69, 36, 2] from Operation: 52-50=2
Current State: 87:[69, 36, 2], Operations: ['52-50=2']
Exploring Operation: 36/2=18, Resulting Numbers: [69, 18]
Generated Node #3: [69, 18] from Operation: 36/2=18
Current State: 87:[69, 18], Operations: ['52-50=2', '36/2=18']
Exploring Operation: 69+18=87, Resulting Numbers: [87]
87,87 equal: Goal Reached
| 4 |
[
24,
14,
1,
29
] | 10 | [
"24+14=38",
"29-1=28",
"38-28=10"
] | Current State: 10:[24, 14, 1, 29], Operations: []
Exploring Operation: 24+14=38, Resulting Numbers: [1, 29, 38]
Generated Node #2: [1, 29, 38] from Operation: 24+14=38
Current State: 10:[1, 29, 38], Operations: ['24+14=38']
Exploring Operation: 29-1=28, Resulting Numbers: [38, 28]
Generated Node #3: [38, 28] from Operation: 29-1=28
Current State: 10:[38, 28], Operations: ['24+14=38', '29-1=28']
Exploring Operation: 38-28=10, Resulting Numbers: [10]
10,10 equal: Goal Reached
| 4 |
[
80,
82,
66,
7
] | 89 | [
"80+82=162",
"66+7=73",
"162-73=89"
] | Current State: 89:[80, 82, 66, 7], Operations: []
Exploring Operation: 80+82=162, Resulting Numbers: [66, 7, 162]
Generated Node #2: [66, 7, 162] from Operation: 80+82=162
Current State: 89:[66, 7, 162], Operations: ['80+82=162']
Exploring Operation: 66+7=73, Resulting Numbers: [162, 73]
Generated Node #3: [162, 73] from Operation: 66+7=73
Current State: 89:[162, 73], Operations: ['80+82=162', '66+7=73']
Exploring Operation: 162-73=89, Resulting Numbers: [89]
89,89 equal: Goal Reached
| 4 |
[
75,
20,
23,
81
] | 37 | [
"75+20=95",
"81-23=58",
"95-58=37"
] | Current State: 37:[75, 20, 23, 81], Operations: []
Exploring Operation: 75+20=95, Resulting Numbers: [23, 81, 95]
Generated Node #2: [23, 81, 95] from Operation: 75+20=95
Current State: 37:[23, 81, 95], Operations: ['75+20=95']
Exploring Operation: 81-23=58, Resulting Numbers: [95, 58]
Generated Node #3: [95, 58] from Operation: 81-23=58
Current State: 37:[95, 58], Operations: ['75+20=95', '81-23=58']
Exploring Operation: 95-58=37, Resulting Numbers: [37]
37,37 equal: Goal Reached
| 4 |
[
96,
15,
4,
60
] | 51 | [
"96/4=24",
"15+60=75",
"75-24=51"
] | Current State: 51:[96, 15, 4, 60], Operations: []
Exploring Operation: 96/4=24, Resulting Numbers: [15, 60, 24]
Generated Node #2: [15, 60, 24] from Operation: 96/4=24
Current State: 51:[15, 60, 24], Operations: ['96/4=24']
Exploring Operation: 15+60=75, Resulting Numbers: [24, 75]
Generated Node #3: [24, 75] from Operation: 15+60=75
Current State: 51:[24, 75], Operations: ['96/4=24', '15+60=75']
Exploring Operation: 75-24=51, Resulting Numbers: [51]
51,51 equal: Goal Reached
| 4 |
[
3,
89,
51,
8
] | 72 | [
"3*51=153",
"89-8=81",
"153-81=72"
] | Current State: 72:[3, 89, 51, 8], Operations: []
Exploring Operation: 3*51=153, Resulting Numbers: [89, 8, 153]
Generated Node #2: [89, 8, 153] from Operation: 3*51=153
Current State: 72:[89, 8, 153], Operations: ['3*51=153']
Exploring Operation: 89-8=81, Resulting Numbers: [153, 81]
Generated Node #3: [153, 81] from Operation: 89-8=81
Current State: 72:[153, 81], Operations: ['3*51=153', '89-8=81']
Exploring Operation: 153-81=72, Resulting Numbers: [72]
72,72 equal: Goal Reached
| 4 |
[
81,
64,
72,
86
] | 13 | [
"81+64=145",
"72+86=158",
"158-145=13"
] | Current State: 13:[81, 64, 72, 86], Operations: []
Exploring Operation: 81+64=145, Resulting Numbers: [72, 86, 145]
Generated Node #2: [72, 86, 145] from Operation: 81+64=145
Current State: 13:[72, 86, 145], Operations: ['81+64=145']
Exploring Operation: 72+86=158, Resulting Numbers: [145, 158]
Generated Node #3: [145, 158] from Operation: 72+86=158
Current State: 13:[145, 158], Operations: ['81+64=145', '72+86=158']
Exploring Operation: 158-145=13, Resulting Numbers: [13]
13,13 equal: Goal Reached
| 4 |
[
8,
62,
3,
65
] | 75 | [
"8-3=5",
"65/5=13",
"62+13=75"
] | Current State: 75:[8, 62, 3, 65], Operations: []
Exploring Operation: 8-3=5, Resulting Numbers: [62, 65, 5]
Generated Node #2: [62, 65, 5] from Operation: 8-3=5
Current State: 75:[62, 65, 5], Operations: ['8-3=5']
Exploring Operation: 65/5=13, Resulting Numbers: [62, 13]
Generated Node #3: [62, 13] from Operation: 65/5=13
Current State: 75:[62, 13], Operations: ['8-3=5', '65/5=13']
Exploring Operation: 62+13=75, Resulting Numbers: [75]
75,75 equal: Goal Reached
| 4 |
[
74,
42,
72,
43
] | 22 | [
"74-72=2",
"42/2=21",
"43-21=22"
] | Current State: 22:[74, 42, 72, 43], Operations: []
Exploring Operation: 74-72=2, Resulting Numbers: [42, 43, 2]
Generated Node #2: [42, 43, 2] from Operation: 74-72=2
Current State: 22:[42, 43, 2], Operations: ['74-72=2']
Exploring Operation: 42/2=21, Resulting Numbers: [43, 21]
Generated Node #3: [43, 21] from Operation: 42/2=21
Current State: 22:[43, 21], Operations: ['74-72=2', '42/2=21']
Exploring Operation: 43-21=22, Resulting Numbers: [22]
22,22 equal: Goal Reached
| 4 |
[
68,
12,
99,
71
] | 28 | [
"68-12=56",
"99-71=28",
"56-28=28"
] | Current State: 28:[68, 12, 99, 71], Operations: []
Exploring Operation: 68-12=56, Resulting Numbers: [99, 71, 56]
Generated Node #2: [99, 71, 56] from Operation: 68-12=56
Current State: 28:[99, 71, 56], Operations: ['68-12=56']
Exploring Operation: 99-71=28, Resulting Numbers: [56, 28]
Generated Node #3: [56, 28] from Operation: 99-71=28
Current State: 28:[56, 28], Operations: ['68-12=56', '99-71=28']
Exploring Operation: 56-28=28, Resulting Numbers: [28]
28,28 equal: Goal Reached
| 4 |
[
46,
47,
86,
52
] | 45 | [
"46+47=93",
"86+52=138",
"138-93=45"
] | Current State: 45:[46, 47, 86, 52], Operations: []
Exploring Operation: 46+47=93, Resulting Numbers: [86, 52, 93]
Generated Node #2: [86, 52, 93] from Operation: 46+47=93
Current State: 45:[86, 52, 93], Operations: ['46+47=93']
Exploring Operation: 86+52=138, Resulting Numbers: [93, 138]
Generated Node #3: [93, 138] from Operation: 86+52=138
Current State: 45:[93, 138], Operations: ['46+47=93', '86+52=138']
Exploring Operation: 138-93=45, Resulting Numbers: [45]
45,45 equal: Goal Reached
| 4 |
[
24,
94,
20,
38
] | 12 | [
"94-24=70",
"20+38=58",
"70-58=12"
] | Current State: 12:[24, 94, 20, 38], Operations: []
Exploring Operation: 94-24=70, Resulting Numbers: [20, 38, 70]
Generated Node #2: [20, 38, 70] from Operation: 94-24=70
Current State: 12:[20, 38, 70], Operations: ['94-24=70']
Exploring Operation: 20+38=58, Resulting Numbers: [70, 58]
Generated Node #3: [70, 58] from Operation: 20+38=58
Current State: 12:[70, 58], Operations: ['94-24=70', '20+38=58']
Exploring Operation: 70-58=12, Resulting Numbers: [12]
12,12 equal: Goal Reached
| 4 |
[
76,
36,
15,
91
] | 66 | [
"76-36=40",
"15+91=106",
"106-40=66"
] | Current State: 66:[76, 36, 15, 91], Operations: []
Exploring Operation: 76-36=40, Resulting Numbers: [15, 91, 40]
Generated Node #2: [15, 91, 40] from Operation: 76-36=40
Current State: 66:[15, 91, 40], Operations: ['76-36=40']
Exploring Operation: 15+91=106, Resulting Numbers: [40, 106]
Generated Node #3: [40, 106] from Operation: 15+91=106
Current State: 66:[40, 106], Operations: ['76-36=40', '15+91=106']
Exploring Operation: 106-40=66, Resulting Numbers: [66]
66,66 equal: Goal Reached
| 4 |
[
10,
2,
29,
38
] | 72 | [
"10-2=8",
"38-29=9",
"8*9=72"
] | Current State: 72:[10, 2, 29, 38], Operations: []
Exploring Operation: 10-2=8, Resulting Numbers: [29, 38, 8]
Generated Node #2: [29, 38, 8] from Operation: 10-2=8
Current State: 72:[29, 38, 8], Operations: ['10-2=8']
Exploring Operation: 38-29=9, Resulting Numbers: [8, 9]
Generated Node #3: [8, 9] from Operation: 38-29=9
Current State: 72:[8, 9], Operations: ['10-2=8', '38-29=9']
Exploring Operation: 8*9=72, Resulting Numbers: [72]
72,72 equal: Goal Reached
| 4 |
[
89,
32,
3,
56
] | 97 | [
"56-32=24",
"24/3=8",
"89+8=97"
] | Current State: 97:[89, 32, 3, 56], Operations: []
Exploring Operation: 56-32=24, Resulting Numbers: [89, 3, 24]
Generated Node #2: [89, 3, 24] from Operation: 56-32=24
Current State: 97:[89, 3, 24], Operations: ['56-32=24']
Exploring Operation: 24/3=8, Resulting Numbers: [89, 8]
Generated Node #3: [89, 8] from Operation: 24/3=8
Current State: 97:[89, 8], Operations: ['56-32=24', '24/3=8']
Exploring Operation: 89+8=97, Resulting Numbers: [97]
97,97 equal: Goal Reached
| 4 |
[
83,
21,
67,
20
] | 15 | [
"83-21=62",
"67-20=47",
"62-47=15"
] | Current State: 15:[83, 21, 67, 20], Operations: []
Exploring Operation: 83-21=62, Resulting Numbers: [67, 20, 62]
Generated Node #2: [67, 20, 62] from Operation: 83-21=62
Current State: 15:[67, 20, 62], Operations: ['83-21=62']
Exploring Operation: 67-20=47, Resulting Numbers: [62, 47]
Generated Node #3: [62, 47] from Operation: 67-20=47
Current State: 15:[62, 47], Operations: ['83-21=62', '67-20=47']
Exploring Operation: 62-47=15, Resulting Numbers: [15]
15,15 equal: Goal Reached
| 4 |
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