nums listlengths 4 4 | target int64 10 100 | solution listlengths 3 3 | optimal_path stringlengths 282 529 | start_size int64 4 4 |
|---|---|---|---|---|
[
38,
16,
15,
42
] | 19 | [
"42-38=4",
"16/4=4",
"15+4=19"
] | Current State: 19:[38, 16, 15, 42], Operations: []
Exploring Operation: 42-38=4, Resulting Numbers: [16, 15, 4]
Generated Node #2: [16, 15, 4] from Operation: 42-38=4
Current State: 19:[16, 15, 4], Operations: ['42-38=4']
Exploring Operation: 16/4=4, Resulting Numbers: [15, 4]
Generated Node #3: [15, 4] from Operation: 16/4=4
Current State: 19:[15, 4], Operations: ['42-38=4', '16/4=4']
Exploring Operation: 15+4=19, Resulting Numbers: [19]
19,19 equal: Goal Reached
| 4 |
[
3,
45,
31,
22
] | 20 | [
"45-31=14",
"3*14=42",
"42-22=20"
] | Current State: 20:[3, 45, 31, 22], Operations: []
Exploring Operation: 45-31=14, Resulting Numbers: [3, 22, 14]
Generated Node #2: [3, 22, 14] from Operation: 45-31=14
Current State: 20:[3, 22, 14], Operations: ['45-31=14']
Exploring Operation: 3*14=42, Resulting Numbers: [22, 42]
Generated Node #3: [22, 42] from Operation: 3*14=42
Current State: 20:[22, 42], Operations: ['45-31=14', '3*14=42']
Exploring Operation: 42-22=20, Resulting Numbers: [20]
20,20 equal: Goal Reached
| 4 |
[
46,
2,
14,
1
] | 75 | [
"46+1=47",
"2*14=28",
"47+28=75"
] | Current State: 75:[46, 2, 14, 1], Operations: []
Exploring Operation: 46+1=47, Resulting Numbers: [2, 14, 47]
Generated Node #2: [2, 14, 47] from Operation: 46+1=47
Current State: 75:[2, 14, 47], Operations: ['46+1=47']
Exploring Operation: 2*14=28, Resulting Numbers: [47, 28]
Generated Node #3: [47, 28] from Operation: 2*14=28
Current State: 75:[47, 28], Operations: ['46+1=47', '2*14=28']
Exploring Operation: 47+28=75, Resulting Numbers: [75]
75,75 equal: Goal Reached
| 4 |
[
3,
30,
63,
54
] | 18 | [
"30-3=27",
"63-54=9",
"27-9=18"
] | Current State: 18:[3, 30, 63, 54], Operations: []
Exploring Operation: 30-3=27, Resulting Numbers: [63, 54, 27]
Generated Node #2: [63, 54, 27] from Operation: 30-3=27
Current State: 18:[63, 54, 27], Operations: ['30-3=27']
Exploring Operation: 63-54=9, Resulting Numbers: [27, 9]
Generated Node #3: [27, 9] from Operation: 63-54=9
Current State: 18:[27, 9], Operations: ['30-3=27', '63-54=9']
Exploring Operation: 27-9=18, Resulting Numbers: [18]
18,18 equal: Goal Reached
| 4 |
[
26,
31,
97,
9
] | 93 | [
"31-26=5",
"97-9=88",
"5+88=93"
] | Current State: 93:[26, 31, 97, 9], Operations: []
Exploring Operation: 31-26=5, Resulting Numbers: [97, 9, 5]
Generated Node #2: [97, 9, 5] from Operation: 31-26=5
Current State: 93:[97, 9, 5], Operations: ['31-26=5']
Exploring Operation: 97-9=88, Resulting Numbers: [5, 88]
Generated Node #3: [5, 88] from Operation: 97-9=88
Current State: 93:[5, 88], Operations: ['31-26=5', '97-9=88']
Exploring Operation: 5+88=93, Resulting Numbers: [93]
93,93 equal: Goal Reached
| 4 |
[
22,
16,
3,
26
] | 32 | [
"22+26=48",
"48/3=16",
"16+16=32"
] | Current State: 32:[22, 16, 3, 26], Operations: []
Exploring Operation: 22+26=48, Resulting Numbers: [16, 3, 48]
Generated Node #2: [16, 3, 48] from Operation: 22+26=48
Current State: 32:[16, 3, 48], Operations: ['22+26=48']
Exploring Operation: 48/3=16, Resulting Numbers: [16, 16]
Generated Node #3: [16, 16] from Operation: 48/3=16
Current State: 32:[16, 16], Operations: ['22+26=48', '48/3=16']
Exploring Operation: 16+16=32, Resulting Numbers: [32]
32,32 equal: Goal Reached
| 4 |
[
72,
66,
22,
31
] | 58 | [
"31-22=9",
"72/9=8",
"66-8=58"
] | Current State: 58:[72, 66, 22, 31], Operations: []
Exploring Operation: 31-22=9, Resulting Numbers: [72, 66, 9]
Generated Node #2: [72, 66, 9] from Operation: 31-22=9
Current State: 58:[72, 66, 9], Operations: ['31-22=9']
Exploring Operation: 72/9=8, Resulting Numbers: [66, 8]
Generated Node #3: [66, 8] from Operation: 72/9=8
Current State: 58:[66, 8], Operations: ['31-22=9', '72/9=8']
Exploring Operation: 66-8=58, Resulting Numbers: [58]
58,58 equal: Goal Reached
| 4 |
[
63,
55,
77,
2
] | 83 | [
"63-55=8",
"77-2=75",
"8+75=83"
] | Current State: 83:[63, 55, 77, 2], Operations: []
Exploring Operation: 63-55=8, Resulting Numbers: [77, 2, 8]
Generated Node #2: [77, 2, 8] from Operation: 63-55=8
Current State: 83:[77, 2, 8], Operations: ['63-55=8']
Exploring Operation: 77-2=75, Resulting Numbers: [8, 75]
Generated Node #3: [8, 75] from Operation: 77-2=75
Current State: 83:[8, 75], Operations: ['63-55=8', '77-2=75']
Exploring Operation: 8+75=83, Resulting Numbers: [83]
83,83 equal: Goal Reached
| 4 |
[
32,
75,
96,
57
] | 46 | [
"32+75=107",
"96+57=153",
"153-107=46"
] | Current State: 46:[32, 75, 96, 57], Operations: []
Exploring Operation: 32+75=107, Resulting Numbers: [96, 57, 107]
Generated Node #2: [96, 57, 107] from Operation: 32+75=107
Current State: 46:[96, 57, 107], Operations: ['32+75=107']
Exploring Operation: 96+57=153, Resulting Numbers: [107, 153]
Generated Node #3: [107, 153] from Operation: 96+57=153
Current State: 46:[107, 153], Operations: ['32+75=107', '96+57=153']
Exploring Operation: 153-107=46, Resulting Numbers: [46]
46,46 equal: Goal Reached
| 4 |
[
9,
45,
74,
60
] | 86 | [
"45/9=5",
"60/5=12",
"74+12=86"
] | Current State: 86:[9, 45, 74, 60], Operations: []
Exploring Operation: 45/9=5, Resulting Numbers: [74, 60, 5]
Generated Node #2: [74, 60, 5] from Operation: 45/9=5
Current State: 86:[74, 60, 5], Operations: ['45/9=5']
Exploring Operation: 60/5=12, Resulting Numbers: [74, 12]
Generated Node #3: [74, 12] from Operation: 60/5=12
Current State: 86:[74, 12], Operations: ['45/9=5', '60/5=12']
Exploring Operation: 74+12=86, Resulting Numbers: [86]
86,86 equal: Goal Reached
| 4 |
[
45,
48,
64,
94
] | 65 | [
"45+48=93",
"64+94=158",
"158-93=65"
] | Current State: 65:[45, 48, 64, 94], Operations: []
Exploring Operation: 45+48=93, Resulting Numbers: [64, 94, 93]
Generated Node #2: [64, 94, 93] from Operation: 45+48=93
Current State: 65:[64, 94, 93], Operations: ['45+48=93']
Exploring Operation: 64+94=158, Resulting Numbers: [93, 158]
Generated Node #3: [93, 158] from Operation: 64+94=158
Current State: 65:[93, 158], Operations: ['45+48=93', '64+94=158']
Exploring Operation: 158-93=65, Resulting Numbers: [65]
65,65 equal: Goal Reached
| 4 |
[
69,
17,
43,
5
] | 38 | [
"69+17=86",
"43+5=48",
"86-48=38"
] | Current State: 38:[69, 17, 43, 5], Operations: []
Exploring Operation: 69+17=86, Resulting Numbers: [43, 5, 86]
Generated Node #2: [43, 5, 86] from Operation: 69+17=86
Current State: 38:[43, 5, 86], Operations: ['69+17=86']
Exploring Operation: 43+5=48, Resulting Numbers: [86, 48]
Generated Node #3: [86, 48] from Operation: 43+5=48
Current State: 38:[86, 48], Operations: ['69+17=86', '43+5=48']
Exploring Operation: 86-48=38, Resulting Numbers: [38]
38,38 equal: Goal Reached
| 4 |
[
31,
15,
54,
55
] | 15 | [
"31-15=16",
"55-54=1",
"16-1=15"
] | Current State: 15:[31, 15, 54, 55], Operations: []
Exploring Operation: 31-15=16, Resulting Numbers: [54, 55, 16]
Generated Node #2: [54, 55, 16] from Operation: 31-15=16
Current State: 15:[54, 55, 16], Operations: ['31-15=16']
Exploring Operation: 55-54=1, Resulting Numbers: [16, 1]
Generated Node #3: [16, 1] from Operation: 55-54=1
Current State: 15:[16, 1], Operations: ['31-15=16', '55-54=1']
Exploring Operation: 16-1=15, Resulting Numbers: [15]
15,15 equal: Goal Reached
| 4 |
[
32,
28,
40,
40
] | 32 | [
"40-40=0",
"28*0=0",
"32+0=32"
] | Current State: 32:[32, 28, 40, 40], Operations: []
Exploring Operation: 40-40=0, Resulting Numbers: [32, 28, 0]
Generated Node #2: [32, 28, 0] from Operation: 40-40=0
Current State: 32:[32, 28, 0], Operations: ['40-40=0']
Exploring Operation: 28*0=0, Resulting Numbers: [32, 0]
Generated Node #3: [32, 0] from Operation: 28*0=0
Current State: 32:[32, 0], Operations: ['40-40=0', '28*0=0']
Exploring Operation: 32+0=32, Resulting Numbers: [32]
32,32 equal: Goal Reached
| 4 |
[
59,
46,
4,
45
] | 62 | [
"59-46=13",
"4+45=49",
"13+49=62"
] | Current State: 62:[59, 46, 4, 45], Operations: []
Exploring Operation: 59-46=13, Resulting Numbers: [4, 45, 13]
Generated Node #2: [4, 45, 13] from Operation: 59-46=13
Current State: 62:[4, 45, 13], Operations: ['59-46=13']
Exploring Operation: 4+45=49, Resulting Numbers: [13, 49]
Generated Node #3: [13, 49] from Operation: 4+45=49
Current State: 62:[13, 49], Operations: ['59-46=13', '4+45=49']
Exploring Operation: 13+49=62, Resulting Numbers: [62]
62,62 equal: Goal Reached
| 4 |
[
61,
40,
31,
10
] | 37 | [
"61-31=30",
"30/10=3",
"40-3=37"
] | Current State: 37:[61, 40, 31, 10], Operations: []
Exploring Operation: 61-31=30, Resulting Numbers: [40, 10, 30]
Generated Node #2: [40, 10, 30] from Operation: 61-31=30
Current State: 37:[40, 10, 30], Operations: ['61-31=30']
Exploring Operation: 30/10=3, Resulting Numbers: [40, 3]
Generated Node #3: [40, 3] from Operation: 30/10=3
Current State: 37:[40, 3], Operations: ['61-31=30', '30/10=3']
Exploring Operation: 40-3=37, Resulting Numbers: [37]
37,37 equal: Goal Reached
| 4 |
[
38,
76,
23,
45
] | 66 | [
"76/38=2",
"23+45=68",
"68-2=66"
] | Current State: 66:[38, 76, 23, 45], Operations: []
Exploring Operation: 76/38=2, Resulting Numbers: [23, 45, 2]
Generated Node #2: [23, 45, 2] from Operation: 76/38=2
Current State: 66:[23, 45, 2], Operations: ['76/38=2']
Exploring Operation: 23+45=68, Resulting Numbers: [2, 68]
Generated Node #3: [2, 68] from Operation: 23+45=68
Current State: 66:[2, 68], Operations: ['76/38=2', '23+45=68']
Exploring Operation: 68-2=66, Resulting Numbers: [66]
66,66 equal: Goal Reached
| 4 |
[
94,
81,
90,
2
] | 79 | [
"94-81=13",
"90+2=92",
"92-13=79"
] | Current State: 79:[94, 81, 90, 2], Operations: []
Exploring Operation: 94-81=13, Resulting Numbers: [90, 2, 13]
Generated Node #2: [90, 2, 13] from Operation: 94-81=13
Current State: 79:[90, 2, 13], Operations: ['94-81=13']
Exploring Operation: 90+2=92, Resulting Numbers: [13, 92]
Generated Node #3: [13, 92] from Operation: 90+2=92
Current State: 79:[13, 92], Operations: ['94-81=13', '90+2=92']
Exploring Operation: 92-13=79, Resulting Numbers: [79]
79,79 equal: Goal Reached
| 4 |
[
57,
39,
56,
52
] | 19 | [
"57-52=5",
"39+56=95",
"95/5=19"
] | Current State: 19:[57, 39, 56, 52], Operations: []
Exploring Operation: 57-52=5, Resulting Numbers: [39, 56, 5]
Generated Node #2: [39, 56, 5] from Operation: 57-52=5
Current State: 19:[39, 56, 5], Operations: ['57-52=5']
Exploring Operation: 39+56=95, Resulting Numbers: [5, 95]
Generated Node #3: [5, 95] from Operation: 39+56=95
Current State: 19:[5, 95], Operations: ['57-52=5', '39+56=95']
Exploring Operation: 95/5=19, Resulting Numbers: [19]
19,19 equal: Goal Reached
| 4 |
[
59,
43,
37,
44
] | 23 | [
"59-43=16",
"44-37=7",
"16+7=23"
] | Current State: 23:[59, 43, 37, 44], Operations: []
Exploring Operation: 59-43=16, Resulting Numbers: [37, 44, 16]
Generated Node #2: [37, 44, 16] from Operation: 59-43=16
Current State: 23:[37, 44, 16], Operations: ['59-43=16']
Exploring Operation: 44-37=7, Resulting Numbers: [16, 7]
Generated Node #3: [16, 7] from Operation: 44-37=7
Current State: 23:[16, 7], Operations: ['59-43=16', '44-37=7']
Exploring Operation: 16+7=23, Resulting Numbers: [23]
23,23 equal: Goal Reached
| 4 |
[
45,
28,
81,
56
] | 18 | [
"81-45=36",
"56/28=2",
"36/2=18"
] | Current State: 18:[45, 28, 81, 56], Operations: []
Exploring Operation: 81-45=36, Resulting Numbers: [28, 56, 36]
Generated Node #2: [28, 56, 36] from Operation: 81-45=36
Current State: 18:[28, 56, 36], Operations: ['81-45=36']
Exploring Operation: 56/28=2, Resulting Numbers: [36, 2]
Generated Node #3: [36, 2] from Operation: 56/28=2
Current State: 18:[36, 2], Operations: ['81-45=36', '56/28=2']
Exploring Operation: 36/2=18, Resulting Numbers: [18]
18,18 equal: Goal Reached
| 4 |
[
23,
54,
7,
71
] | 82 | [
"23+54=77",
"77/7=11",
"71+11=82"
] | Current State: 82:[23, 54, 7, 71], Operations: []
Exploring Operation: 23+54=77, Resulting Numbers: [7, 71, 77]
Generated Node #2: [7, 71, 77] from Operation: 23+54=77
Current State: 82:[7, 71, 77], Operations: ['23+54=77']
Exploring Operation: 77/7=11, Resulting Numbers: [71, 11]
Generated Node #3: [71, 11] from Operation: 77/7=11
Current State: 82:[71, 11], Operations: ['23+54=77', '77/7=11']
Exploring Operation: 71+11=82, Resulting Numbers: [82]
82,82 equal: Goal Reached
| 4 |
[
15,
26,
8,
4
] | 45 | [
"15+26=41",
"8-4=4",
"41+4=45"
] | Current State: 45:[15, 26, 8, 4], Operations: []
Exploring Operation: 15+26=41, Resulting Numbers: [8, 4, 41]
Generated Node #2: [8, 4, 41] from Operation: 15+26=41
Current State: 45:[8, 4, 41], Operations: ['15+26=41']
Exploring Operation: 8-4=4, Resulting Numbers: [41, 4]
Generated Node #3: [41, 4] from Operation: 8-4=4
Current State: 45:[41, 4], Operations: ['15+26=41', '8-4=4']
Exploring Operation: 41+4=45, Resulting Numbers: [45]
45,45 equal: Goal Reached
| 4 |
[
2,
18,
59,
75
] | 98 | [
"2*18=36",
"59+75=134",
"134-36=98"
] | Current State: 98:[2, 18, 59, 75], Operations: []
Exploring Operation: 2*18=36, Resulting Numbers: [59, 75, 36]
Generated Node #2: [59, 75, 36] from Operation: 2*18=36
Current State: 98:[59, 75, 36], Operations: ['2*18=36']
Exploring Operation: 59+75=134, Resulting Numbers: [36, 134]
Generated Node #3: [36, 134] from Operation: 59+75=134
Current State: 98:[36, 134], Operations: ['2*18=36', '59+75=134']
Exploring Operation: 134-36=98, Resulting Numbers: [98]
98,98 equal: Goal Reached
| 4 |
[
55,
42,
78,
91
] | 72 | [
"55+42=97",
"78+91=169",
"169-97=72"
] | Current State: 72:[55, 42, 78, 91], Operations: []
Exploring Operation: 55+42=97, Resulting Numbers: [78, 91, 97]
Generated Node #2: [78, 91, 97] from Operation: 55+42=97
Current State: 72:[78, 91, 97], Operations: ['55+42=97']
Exploring Operation: 78+91=169, Resulting Numbers: [97, 169]
Generated Node #3: [97, 169] from Operation: 78+91=169
Current State: 72:[97, 169], Operations: ['55+42=97', '78+91=169']
Exploring Operation: 169-97=72, Resulting Numbers: [72]
72,72 equal: Goal Reached
| 4 |
[
25,
93,
15,
84
] | 15 | [
"93-84=9",
"25*9=225",
"225/15=15"
] | Current State: 15:[25, 93, 15, 84], Operations: []
Exploring Operation: 93-84=9, Resulting Numbers: [25, 15, 9]
Generated Node #2: [25, 15, 9] from Operation: 93-84=9
Current State: 15:[25, 15, 9], Operations: ['93-84=9']
Exploring Operation: 25*9=225, Resulting Numbers: [15, 225]
Generated Node #3: [15, 225] from Operation: 25*9=225
Current State: 15:[15, 225], Operations: ['93-84=9', '25*9=225']
Exploring Operation: 225/15=15, Resulting Numbers: [15]
15,15 equal: Goal Reached
| 4 |
[
14,
35,
12,
56
] | 32 | [
"35-14=21",
"12*56=672",
"672/21=32"
] | Current State: 32:[14, 35, 12, 56], Operations: []
Exploring Operation: 35-14=21, Resulting Numbers: [12, 56, 21]
Generated Node #2: [12, 56, 21] from Operation: 35-14=21
Current State: 32:[12, 56, 21], Operations: ['35-14=21']
Exploring Operation: 12*56=672, Resulting Numbers: [21, 672]
Generated Node #3: [21, 672] from Operation: 12*56=672
Current State: 32:[21, 672], Operations: ['35-14=21', '12*56=672']
Exploring Operation: 672/21=32, Resulting Numbers: [32]
32,32 equal: Goal Reached
| 4 |
[
46,
62,
50,
65
] | 31 | [
"62-46=16",
"65-50=15",
"16+15=31"
] | Current State: 31:[46, 62, 50, 65], Operations: []
Exploring Operation: 62-46=16, Resulting Numbers: [50, 65, 16]
Generated Node #2: [50, 65, 16] from Operation: 62-46=16
Current State: 31:[50, 65, 16], Operations: ['62-46=16']
Exploring Operation: 65-50=15, Resulting Numbers: [16, 15]
Generated Node #3: [16, 15] from Operation: 65-50=15
Current State: 31:[16, 15], Operations: ['62-46=16', '65-50=15']
Exploring Operation: 16+15=31, Resulting Numbers: [31]
31,31 equal: Goal Reached
| 4 |
[
28,
8,
56,
9
] | 29 | [
"28+8=36",
"56+9=65",
"65-36=29"
] | Current State: 29:[28, 8, 56, 9], Operations: []
Exploring Operation: 28+8=36, Resulting Numbers: [56, 9, 36]
Generated Node #2: [56, 9, 36] from Operation: 28+8=36
Current State: 29:[56, 9, 36], Operations: ['28+8=36']
Exploring Operation: 56+9=65, Resulting Numbers: [36, 65]
Generated Node #3: [36, 65] from Operation: 56+9=65
Current State: 29:[36, 65], Operations: ['28+8=36', '56+9=65']
Exploring Operation: 65-36=29, Resulting Numbers: [29]
29,29 equal: Goal Reached
| 4 |
[
37,
62,
7,
4
] | 72 | [
"62-37=25",
"25-7=18",
"4*18=72"
] | Current State: 72:[37, 62, 7, 4], Operations: []
Exploring Operation: 62-37=25, Resulting Numbers: [7, 4, 25]
Generated Node #2: [7, 4, 25] from Operation: 62-37=25
Current State: 72:[7, 4, 25], Operations: ['62-37=25']
Exploring Operation: 25-7=18, Resulting Numbers: [4, 18]
Generated Node #3: [4, 18] from Operation: 25-7=18
Current State: 72:[4, 18], Operations: ['62-37=25', '25-7=18']
Exploring Operation: 4*18=72, Resulting Numbers: [72]
72,72 equal: Goal Reached
| 4 |
[
92,
5,
61,
3
] | 78 | [
"92-5=87",
"87-61=26",
"3*26=78"
] | Current State: 78:[92, 5, 61, 3], Operations: []
Exploring Operation: 92-5=87, Resulting Numbers: [61, 3, 87]
Generated Node #2: [61, 3, 87] from Operation: 92-5=87
Current State: 78:[61, 3, 87], Operations: ['92-5=87']
Exploring Operation: 87-61=26, Resulting Numbers: [3, 26]
Generated Node #3: [3, 26] from Operation: 87-61=26
Current State: 78:[3, 26], Operations: ['92-5=87', '87-61=26']
Exploring Operation: 3*26=78, Resulting Numbers: [78]
78,78 equal: Goal Reached
| 4 |
[
24,
44,
27,
52
] | 24 | [
"27-24=3",
"52-44=8",
"3*8=24"
] | Current State: 24:[24, 44, 27, 52], Operations: []
Exploring Operation: 27-24=3, Resulting Numbers: [44, 52, 3]
Generated Node #2: [44, 52, 3] from Operation: 27-24=3
Current State: 24:[44, 52, 3], Operations: ['27-24=3']
Exploring Operation: 52-44=8, Resulting Numbers: [3, 8]
Generated Node #3: [3, 8] from Operation: 52-44=8
Current State: 24:[3, 8], Operations: ['27-24=3', '52-44=8']
Exploring Operation: 3*8=24, Resulting Numbers: [24]
24,24 equal: Goal Reached
| 4 |
[
7,
29,
53,
5
] | 80 | [
"29-7=22",
"53+5=58",
"22+58=80"
] | Current State: 80:[7, 29, 53, 5], Operations: []
Exploring Operation: 29-7=22, Resulting Numbers: [53, 5, 22]
Generated Node #2: [53, 5, 22] from Operation: 29-7=22
Current State: 80:[53, 5, 22], Operations: ['29-7=22']
Exploring Operation: 53+5=58, Resulting Numbers: [22, 58]
Generated Node #3: [22, 58] from Operation: 53+5=58
Current State: 80:[22, 58], Operations: ['29-7=22', '53+5=58']
Exploring Operation: 22+58=80, Resulting Numbers: [80]
80,80 equal: Goal Reached
| 4 |
[
93,
25,
30,
85
] | 95 | [
"85-25=60",
"60/30=2",
"93+2=95"
] | Current State: 95:[93, 25, 30, 85], Operations: []
Exploring Operation: 85-25=60, Resulting Numbers: [93, 30, 60]
Generated Node #2: [93, 30, 60] from Operation: 85-25=60
Current State: 95:[93, 30, 60], Operations: ['85-25=60']
Exploring Operation: 60/30=2, Resulting Numbers: [93, 2]
Generated Node #3: [93, 2] from Operation: 60/30=2
Current State: 95:[93, 2], Operations: ['85-25=60', '60/30=2']
Exploring Operation: 93+2=95, Resulting Numbers: [95]
95,95 equal: Goal Reached
| 4 |
[
34,
48,
47,
13
] | 21 | [
"34-13=21",
"48-47=1",
"21*1=21"
] | Current State: 21:[34, 48, 47, 13], Operations: []
Exploring Operation: 34-13=21, Resulting Numbers: [48, 47, 21]
Generated Node #2: [48, 47, 21] from Operation: 34-13=21
Current State: 21:[48, 47, 21], Operations: ['34-13=21']
Exploring Operation: 48-47=1, Resulting Numbers: [21, 1]
Generated Node #3: [21, 1] from Operation: 48-47=1
Current State: 21:[21, 1], Operations: ['34-13=21', '48-47=1']
Exploring Operation: 21*1=21, Resulting Numbers: [21]
21,21 equal: Goal Reached
| 4 |
[
42,
76,
6,
97
] | 69 | [
"76-42=34",
"6+97=103",
"103-34=69"
] | Current State: 69:[42, 76, 6, 97], Operations: []
Exploring Operation: 76-42=34, Resulting Numbers: [6, 97, 34]
Generated Node #2: [6, 97, 34] from Operation: 76-42=34
Current State: 69:[6, 97, 34], Operations: ['76-42=34']
Exploring Operation: 6+97=103, Resulting Numbers: [34, 103]
Generated Node #3: [34, 103] from Operation: 6+97=103
Current State: 69:[34, 103], Operations: ['76-42=34', '6+97=103']
Exploring Operation: 103-34=69, Resulting Numbers: [69]
69,69 equal: Goal Reached
| 4 |
[
25,
11,
80,
33
] | 55 | [
"25*33=825",
"11*80=880",
"880-825=55"
] | Current State: 55:[25, 11, 80, 33], Operations: []
Exploring Operation: 25*33=825, Resulting Numbers: [11, 80, 825]
Generated Node #2: [11, 80, 825] from Operation: 25*33=825
Current State: 55:[11, 80, 825], Operations: ['25*33=825']
Exploring Operation: 11*80=880, Resulting Numbers: [825, 880]
Generated Node #3: [825, 880] from Operation: 11*80=880
Current State: 55:[825, 880], Operations: ['25*33=825', '11*80=880']
Exploring Operation: 880-825=55, Resulting Numbers: [55]
55,55 equal: Goal Reached
| 4 |
[
62,
8,
72,
6
] | 86 | [
"62+72=134",
"8*6=48",
"134-48=86"
] | Current State: 86:[62, 8, 72, 6], Operations: []
Exploring Operation: 62+72=134, Resulting Numbers: [8, 6, 134]
Generated Node #2: [8, 6, 134] from Operation: 62+72=134
Current State: 86:[8, 6, 134], Operations: ['62+72=134']
Exploring Operation: 8*6=48, Resulting Numbers: [134, 48]
Generated Node #3: [134, 48] from Operation: 8*6=48
Current State: 86:[134, 48], Operations: ['62+72=134', '8*6=48']
Exploring Operation: 134-48=86, Resulting Numbers: [86]
86,86 equal: Goal Reached
| 4 |
[
97,
99,
26,
9
] | 44 | [
"99-97=2",
"9*2=18",
"26+18=44"
] | Current State: 44:[97, 99, 26, 9], Operations: []
Exploring Operation: 99-97=2, Resulting Numbers: [26, 9, 2]
Generated Node #2: [26, 9, 2] from Operation: 99-97=2
Current State: 44:[26, 9, 2], Operations: ['99-97=2']
Exploring Operation: 9*2=18, Resulting Numbers: [26, 18]
Generated Node #3: [26, 18] from Operation: 9*2=18
Current State: 44:[26, 18], Operations: ['99-97=2', '9*2=18']
Exploring Operation: 26+18=44, Resulting Numbers: [44]
44,44 equal: Goal Reached
| 4 |
[
15,
12,
66,
15
] | 77 | [
"15/15=1",
"12+66=78",
"78-1=77"
] | Current State: 77:[15, 12, 66, 15], Operations: []
Exploring Operation: 15/15=1, Resulting Numbers: [12, 66, 1]
Generated Node #2: [12, 66, 1] from Operation: 15/15=1
Current State: 77:[12, 66, 1], Operations: ['15/15=1']
Exploring Operation: 12+66=78, Resulting Numbers: [1, 78]
Generated Node #3: [1, 78] from Operation: 12+66=78
Current State: 77:[1, 78], Operations: ['15/15=1', '12+66=78']
Exploring Operation: 78-1=77, Resulting Numbers: [77]
77,77 equal: Goal Reached
| 4 |
[
20,
92,
6,
18
] | 32 | [
"20*18=360",
"360/6=60",
"92-60=32"
] | Current State: 32:[20, 92, 6, 18], Operations: []
Exploring Operation: 20*18=360, Resulting Numbers: [92, 6, 360]
Generated Node #2: [92, 6, 360] from Operation: 20*18=360
Current State: 32:[92, 6, 360], Operations: ['20*18=360']
Exploring Operation: 360/6=60, Resulting Numbers: [92, 60]
Generated Node #3: [92, 60] from Operation: 360/6=60
Current State: 32:[92, 60], Operations: ['20*18=360', '360/6=60']
Exploring Operation: 92-60=32, Resulting Numbers: [32]
32,32 equal: Goal Reached
| 4 |
[
89,
6,
30,
49
] | 35 | [
"89-49=40",
"30/6=5",
"40-5=35"
] | Current State: 35:[89, 6, 30, 49], Operations: []
Exploring Operation: 89-49=40, Resulting Numbers: [6, 30, 40]
Generated Node #2: [6, 30, 40] from Operation: 89-49=40
Current State: 35:[6, 30, 40], Operations: ['89-49=40']
Exploring Operation: 30/6=5, Resulting Numbers: [40, 5]
Generated Node #3: [40, 5] from Operation: 30/6=5
Current State: 35:[40, 5], Operations: ['89-49=40', '30/6=5']
Exploring Operation: 40-5=35, Resulting Numbers: [35]
35,35 equal: Goal Reached
| 4 |
[
26,
52,
21,
56
] | 91 | [
"52/26=2",
"56*2=112",
"112-21=91"
] | Current State: 91:[26, 52, 21, 56], Operations: []
Exploring Operation: 52/26=2, Resulting Numbers: [21, 56, 2]
Generated Node #2: [21, 56, 2] from Operation: 52/26=2
Current State: 91:[21, 56, 2], Operations: ['52/26=2']
Exploring Operation: 56*2=112, Resulting Numbers: [21, 112]
Generated Node #3: [21, 112] from Operation: 56*2=112
Current State: 91:[21, 112], Operations: ['52/26=2', '56*2=112']
Exploring Operation: 112-21=91, Resulting Numbers: [91]
91,91 equal: Goal Reached
| 4 |
[
38,
94,
33,
52
] | 75 | [
"94-38=56",
"52-33=19",
"56+19=75"
] | Current State: 75:[38, 94, 33, 52], Operations: []
Exploring Operation: 94-38=56, Resulting Numbers: [33, 52, 56]
Generated Node #2: [33, 52, 56] from Operation: 94-38=56
Current State: 75:[33, 52, 56], Operations: ['94-38=56']
Exploring Operation: 52-33=19, Resulting Numbers: [56, 19]
Generated Node #3: [56, 19] from Operation: 52-33=19
Current State: 75:[56, 19], Operations: ['94-38=56', '52-33=19']
Exploring Operation: 56+19=75, Resulting Numbers: [75]
75,75 equal: Goal Reached
| 4 |
[
71,
30,
16,
6
] | 11 | [
"71-16=55",
"30/6=5",
"55/5=11"
] | Current State: 11:[71, 30, 16, 6], Operations: []
Exploring Operation: 71-16=55, Resulting Numbers: [30, 6, 55]
Generated Node #2: [30, 6, 55] from Operation: 71-16=55
Current State: 11:[30, 6, 55], Operations: ['71-16=55']
Exploring Operation: 30/6=5, Resulting Numbers: [55, 5]
Generated Node #3: [55, 5] from Operation: 30/6=5
Current State: 11:[55, 5], Operations: ['71-16=55', '30/6=5']
Exploring Operation: 55/5=11, Resulting Numbers: [11]
11,11 equal: Goal Reached
| 4 |
[
81,
21,
9,
51
] | 79 | [
"51-9=42",
"42/21=2",
"81-2=79"
] | Current State: 79:[81, 21, 9, 51], Operations: []
Exploring Operation: 51-9=42, Resulting Numbers: [81, 21, 42]
Generated Node #2: [81, 21, 42] from Operation: 51-9=42
Current State: 79:[81, 21, 42], Operations: ['51-9=42']
Exploring Operation: 42/21=2, Resulting Numbers: [81, 2]
Generated Node #3: [81, 2] from Operation: 42/21=2
Current State: 79:[81, 2], Operations: ['51-9=42', '42/21=2']
Exploring Operation: 81-2=79, Resulting Numbers: [79]
79,79 equal: Goal Reached
| 4 |
[
70,
60,
34,
27
] | 51 | [
"70-60=10",
"34+27=61",
"61-10=51"
] | Current State: 51:[70, 60, 34, 27], Operations: []
Exploring Operation: 70-60=10, Resulting Numbers: [34, 27, 10]
Generated Node #2: [34, 27, 10] from Operation: 70-60=10
Current State: 51:[34, 27, 10], Operations: ['70-60=10']
Exploring Operation: 34+27=61, Resulting Numbers: [10, 61]
Generated Node #3: [10, 61] from Operation: 34+27=61
Current State: 51:[10, 61], Operations: ['70-60=10', '34+27=61']
Exploring Operation: 61-10=51, Resulting Numbers: [51]
51,51 equal: Goal Reached
| 4 |
[
96,
5,
91,
94
] | 13 | [
"96+5=101",
"101-94=7",
"91/7=13"
] | Current State: 13:[96, 5, 91, 94], Operations: []
Exploring Operation: 96+5=101, Resulting Numbers: [91, 94, 101]
Generated Node #2: [91, 94, 101] from Operation: 96+5=101
Current State: 13:[91, 94, 101], Operations: ['96+5=101']
Exploring Operation: 101-94=7, Resulting Numbers: [91, 7]
Generated Node #3: [91, 7] from Operation: 101-94=7
Current State: 13:[91, 7], Operations: ['96+5=101', '101-94=7']
Exploring Operation: 91/7=13, Resulting Numbers: [13]
13,13 equal: Goal Reached
| 4 |
[
15,
76,
18,
36
] | 64 | [
"18-15=3",
"36/3=12",
"76-12=64"
] | Current State: 64:[15, 76, 18, 36], Operations: []
Exploring Operation: 18-15=3, Resulting Numbers: [76, 36, 3]
Generated Node #2: [76, 36, 3] from Operation: 18-15=3
Current State: 64:[76, 36, 3], Operations: ['18-15=3']
Exploring Operation: 36/3=12, Resulting Numbers: [76, 12]
Generated Node #3: [76, 12] from Operation: 36/3=12
Current State: 64:[76, 12], Operations: ['18-15=3', '36/3=12']
Exploring Operation: 76-12=64, Resulting Numbers: [64]
64,64 equal: Goal Reached
| 4 |
[
18,
83,
35,
44
] | 81 | [
"44-35=9",
"18/9=2",
"83-2=81"
] | Current State: 81:[18, 83, 35, 44], Operations: []
Exploring Operation: 44-35=9, Resulting Numbers: [18, 83, 9]
Generated Node #2: [18, 83, 9] from Operation: 44-35=9
Current State: 81:[18, 83, 9], Operations: ['44-35=9']
Exploring Operation: 18/9=2, Resulting Numbers: [83, 2]
Generated Node #3: [83, 2] from Operation: 18/9=2
Current State: 81:[83, 2], Operations: ['44-35=9', '18/9=2']
Exploring Operation: 83-2=81, Resulting Numbers: [81]
81,81 equal: Goal Reached
| 4 |
[
97,
22,
25,
33
] | 30 | [
"97-22=75",
"75/25=3",
"33-3=30"
] | Current State: 30:[97, 22, 25, 33], Operations: []
Exploring Operation: 97-22=75, Resulting Numbers: [25, 33, 75]
Generated Node #2: [25, 33, 75] from Operation: 97-22=75
Current State: 30:[25, 33, 75], Operations: ['97-22=75']
Exploring Operation: 75/25=3, Resulting Numbers: [33, 3]
Generated Node #3: [33, 3] from Operation: 75/25=3
Current State: 30:[33, 3], Operations: ['97-22=75', '75/25=3']
Exploring Operation: 33-3=30, Resulting Numbers: [30]
30,30 equal: Goal Reached
| 4 |
[
75,
66,
5,
90
] | 76 | [
"75-66=9",
"90-5=85",
"85-9=76"
] | Current State: 76:[75, 66, 5, 90], Operations: []
Exploring Operation: 75-66=9, Resulting Numbers: [5, 90, 9]
Generated Node #2: [5, 90, 9] from Operation: 75-66=9
Current State: 76:[5, 90, 9], Operations: ['75-66=9']
Exploring Operation: 90-5=85, Resulting Numbers: [9, 85]
Generated Node #3: [9, 85] from Operation: 90-5=85
Current State: 76:[9, 85], Operations: ['75-66=9', '90-5=85']
Exploring Operation: 85-9=76, Resulting Numbers: [76]
76,76 equal: Goal Reached
| 4 |
[
64,
64,
17,
86
] | 17 | [
"64-64=0",
"86*0=0",
"17+0=17"
] | Current State: 17:[64, 64, 17, 86], Operations: []
Exploring Operation: 64-64=0, Resulting Numbers: [17, 86, 0]
Generated Node #2: [17, 86, 0] from Operation: 64-64=0
Current State: 17:[17, 86, 0], Operations: ['64-64=0']
Exploring Operation: 86*0=0, Resulting Numbers: [17, 0]
Generated Node #3: [17, 0] from Operation: 86*0=0
Current State: 17:[17, 0], Operations: ['64-64=0', '86*0=0']
Exploring Operation: 17+0=17, Resulting Numbers: [17]
17,17 equal: Goal Reached
| 4 |
[
57,
36,
59,
58
] | 21 | [
"57-36=21",
"59-58=1",
"21*1=21"
] | Current State: 21:[57, 36, 59, 58], Operations: []
Exploring Operation: 57-36=21, Resulting Numbers: [59, 58, 21]
Generated Node #2: [59, 58, 21] from Operation: 57-36=21
Current State: 21:[59, 58, 21], Operations: ['57-36=21']
Exploring Operation: 59-58=1, Resulting Numbers: [21, 1]
Generated Node #3: [21, 1] from Operation: 59-58=1
Current State: 21:[21, 1], Operations: ['57-36=21', '59-58=1']
Exploring Operation: 21*1=21, Resulting Numbers: [21]
21,21 equal: Goal Reached
| 4 |
[
64,
9,
86,
64
] | 86 | [
"64-64=0",
"9*0=0",
"86+0=86"
] | Current State: 86:[64, 9, 86, 64], Operations: []
Exploring Operation: 64-64=0, Resulting Numbers: [9, 86, 0]
Generated Node #2: [9, 86, 0] from Operation: 64-64=0
Current State: 86:[9, 86, 0], Operations: ['64-64=0']
Exploring Operation: 9*0=0, Resulting Numbers: [86, 0]
Generated Node #3: [86, 0] from Operation: 9*0=0
Current State: 86:[86, 0], Operations: ['64-64=0', '9*0=0']
Exploring Operation: 86+0=86, Resulting Numbers: [86]
86,86 equal: Goal Reached
| 4 |
[
4,
82,
60,
86
] | 11 | [
"60/4=15",
"86-82=4",
"15-4=11"
] | Current State: 11:[4, 82, 60, 86], Operations: []
Exploring Operation: 60/4=15, Resulting Numbers: [82, 86, 15]
Generated Node #2: [82, 86, 15] from Operation: 60/4=15
Current State: 11:[82, 86, 15], Operations: ['60/4=15']
Exploring Operation: 86-82=4, Resulting Numbers: [15, 4]
Generated Node #3: [15, 4] from Operation: 86-82=4
Current State: 11:[15, 4], Operations: ['60/4=15', '86-82=4']
Exploring Operation: 15-4=11, Resulting Numbers: [11]
11,11 equal: Goal Reached
| 4 |
[
12,
60,
16,
66
] | 51 | [
"16-12=4",
"60/4=15",
"66-15=51"
] | Current State: 51:[12, 60, 16, 66], Operations: []
Exploring Operation: 16-12=4, Resulting Numbers: [60, 66, 4]
Generated Node #2: [60, 66, 4] from Operation: 16-12=4
Current State: 51:[60, 66, 4], Operations: ['16-12=4']
Exploring Operation: 60/4=15, Resulting Numbers: [66, 15]
Generated Node #3: [66, 15] from Operation: 60/4=15
Current State: 51:[66, 15], Operations: ['16-12=4', '60/4=15']
Exploring Operation: 66-15=51, Resulting Numbers: [51]
51,51 equal: Goal Reached
| 4 |
[
41,
56,
19,
96
] | 92 | [
"56-41=15",
"96-19=77",
"15+77=92"
] | Current State: 92:[41, 56, 19, 96], Operations: []
Exploring Operation: 56-41=15, Resulting Numbers: [19, 96, 15]
Generated Node #2: [19, 96, 15] from Operation: 56-41=15
Current State: 92:[19, 96, 15], Operations: ['56-41=15']
Exploring Operation: 96-19=77, Resulting Numbers: [15, 77]
Generated Node #3: [15, 77] from Operation: 96-19=77
Current State: 92:[15, 77], Operations: ['56-41=15', '96-19=77']
Exploring Operation: 15+77=92, Resulting Numbers: [92]
92,92 equal: Goal Reached
| 4 |
[
54,
16,
45,
1
] | 57 | [
"16-1=15",
"45/15=3",
"54+3=57"
] | Current State: 57:[54, 16, 45, 1], Operations: []
Exploring Operation: 16-1=15, Resulting Numbers: [54, 45, 15]
Generated Node #2: [54, 45, 15] from Operation: 16-1=15
Current State: 57:[54, 45, 15], Operations: ['16-1=15']
Exploring Operation: 45/15=3, Resulting Numbers: [54, 3]
Generated Node #3: [54, 3] from Operation: 45/15=3
Current State: 57:[54, 3], Operations: ['16-1=15', '45/15=3']
Exploring Operation: 54+3=57, Resulting Numbers: [57]
57,57 equal: Goal Reached
| 4 |
[
11,
31,
37,
98
] | 81 | [
"31-11=20",
"98-37=61",
"20+61=81"
] | Current State: 81:[11, 31, 37, 98], Operations: []
Exploring Operation: 31-11=20, Resulting Numbers: [37, 98, 20]
Generated Node #2: [37, 98, 20] from Operation: 31-11=20
Current State: 81:[37, 98, 20], Operations: ['31-11=20']
Exploring Operation: 98-37=61, Resulting Numbers: [20, 61]
Generated Node #3: [20, 61] from Operation: 98-37=61
Current State: 81:[20, 61], Operations: ['31-11=20', '98-37=61']
Exploring Operation: 20+61=81, Resulting Numbers: [81]
81,81 equal: Goal Reached
| 4 |
[
31,
1,
3,
95
] | 62 | [
"31-1=30",
"95-3=92",
"92-30=62"
] | Current State: 62:[31, 1, 3, 95], Operations: []
Exploring Operation: 31-1=30, Resulting Numbers: [3, 95, 30]
Generated Node #2: [3, 95, 30] from Operation: 31-1=30
Current State: 62:[3, 95, 30], Operations: ['31-1=30']
Exploring Operation: 95-3=92, Resulting Numbers: [30, 92]
Generated Node #3: [30, 92] from Operation: 95-3=92
Current State: 62:[30, 92], Operations: ['31-1=30', '95-3=92']
Exploring Operation: 92-30=62, Resulting Numbers: [62]
62,62 equal: Goal Reached
| 4 |
[
43,
50,
40,
5
] | 56 | [
"50-43=7",
"40/5=8",
"7*8=56"
] | Current State: 56:[43, 50, 40, 5], Operations: []
Exploring Operation: 50-43=7, Resulting Numbers: [40, 5, 7]
Generated Node #2: [40, 5, 7] from Operation: 50-43=7
Current State: 56:[40, 5, 7], Operations: ['50-43=7']
Exploring Operation: 40/5=8, Resulting Numbers: [7, 8]
Generated Node #3: [7, 8] from Operation: 40/5=8
Current State: 56:[7, 8], Operations: ['50-43=7', '40/5=8']
Exploring Operation: 7*8=56, Resulting Numbers: [56]
56,56 equal: Goal Reached
| 4 |
[
26,
17,
70,
83
] | 17 | [
"26-17=9",
"70+83=153",
"153/9=17"
] | Current State: 17:[26, 17, 70, 83], Operations: []
Exploring Operation: 26-17=9, Resulting Numbers: [70, 83, 9]
Generated Node #2: [70, 83, 9] from Operation: 26-17=9
Current State: 17:[70, 83, 9], Operations: ['26-17=9']
Exploring Operation: 70+83=153, Resulting Numbers: [9, 153]
Generated Node #3: [9, 153] from Operation: 70+83=153
Current State: 17:[9, 153], Operations: ['26-17=9', '70+83=153']
Exploring Operation: 153/9=17, Resulting Numbers: [17]
17,17 equal: Goal Reached
| 4 |
[
79,
19,
13,
76
] | 70 | [
"79-13=66",
"76/19=4",
"66+4=70"
] | Current State: 70:[79, 19, 13, 76], Operations: []
Exploring Operation: 79-13=66, Resulting Numbers: [19, 76, 66]
Generated Node #2: [19, 76, 66] from Operation: 79-13=66
Current State: 70:[19, 76, 66], Operations: ['79-13=66']
Exploring Operation: 76/19=4, Resulting Numbers: [66, 4]
Generated Node #3: [66, 4] from Operation: 76/19=4
Current State: 70:[66, 4], Operations: ['79-13=66', '76/19=4']
Exploring Operation: 66+4=70, Resulting Numbers: [70]
70,70 equal: Goal Reached
| 4 |
[
26,
23,
4,
14
] | 52 | [
"26+14=40",
"23*4=92",
"92-40=52"
] | Current State: 52:[26, 23, 4, 14], Operations: []
Exploring Operation: 26+14=40, Resulting Numbers: [23, 4, 40]
Generated Node #2: [23, 4, 40] from Operation: 26+14=40
Current State: 52:[23, 4, 40], Operations: ['26+14=40']
Exploring Operation: 23*4=92, Resulting Numbers: [40, 92]
Generated Node #3: [40, 92] from Operation: 23*4=92
Current State: 52:[40, 92], Operations: ['26+14=40', '23*4=92']
Exploring Operation: 92-40=52, Resulting Numbers: [52]
52,52 equal: Goal Reached
| 4 |
[
10,
70,
24,
93
] | 98 | [
"24-10=14",
"70/14=5",
"93+5=98"
] | Current State: 98:[10, 70, 24, 93], Operations: []
Exploring Operation: 24-10=14, Resulting Numbers: [70, 93, 14]
Generated Node #2: [70, 93, 14] from Operation: 24-10=14
Current State: 98:[70, 93, 14], Operations: ['24-10=14']
Exploring Operation: 70/14=5, Resulting Numbers: [93, 5]
Generated Node #3: [93, 5] from Operation: 70/14=5
Current State: 98:[93, 5], Operations: ['24-10=14', '70/14=5']
Exploring Operation: 93+5=98, Resulting Numbers: [98]
98,98 equal: Goal Reached
| 4 |
[
32,
77,
16,
14
] | 79 | [
"32+77=109",
"16+14=30",
"109-30=79"
] | Current State: 79:[32, 77, 16, 14], Operations: []
Exploring Operation: 32+77=109, Resulting Numbers: [16, 14, 109]
Generated Node #2: [16, 14, 109] from Operation: 32+77=109
Current State: 79:[16, 14, 109], Operations: ['32+77=109']
Exploring Operation: 16+14=30, Resulting Numbers: [109, 30]
Generated Node #3: [109, 30] from Operation: 16+14=30
Current State: 79:[109, 30], Operations: ['32+77=109', '16+14=30']
Exploring Operation: 109-30=79, Resulting Numbers: [79]
79,79 equal: Goal Reached
| 4 |
[
5,
53,
19,
55
] | 16 | [
"5+53=58",
"19+55=74",
"74-58=16"
] | Current State: 16:[5, 53, 19, 55], Operations: []
Exploring Operation: 5+53=58, Resulting Numbers: [19, 55, 58]
Generated Node #2: [19, 55, 58] from Operation: 5+53=58
Current State: 16:[19, 55, 58], Operations: ['5+53=58']
Exploring Operation: 19+55=74, Resulting Numbers: [58, 74]
Generated Node #3: [58, 74] from Operation: 19+55=74
Current State: 16:[58, 74], Operations: ['5+53=58', '19+55=74']
Exploring Operation: 74-58=16, Resulting Numbers: [16]
16,16 equal: Goal Reached
| 4 |
[
22,
17,
47,
93
] | 85 | [
"22+17=39",
"93-47=46",
"39+46=85"
] | Current State: 85:[22, 17, 47, 93], Operations: []
Exploring Operation: 22+17=39, Resulting Numbers: [47, 93, 39]
Generated Node #2: [47, 93, 39] from Operation: 22+17=39
Current State: 85:[47, 93, 39], Operations: ['22+17=39']
Exploring Operation: 93-47=46, Resulting Numbers: [39, 46]
Generated Node #3: [39, 46] from Operation: 93-47=46
Current State: 85:[39, 46], Operations: ['22+17=39', '93-47=46']
Exploring Operation: 39+46=85, Resulting Numbers: [85]
85,85 equal: Goal Reached
| 4 |
[
21,
24,
51,
42
] | 59 | [
"24-21=3",
"51/3=17",
"42+17=59"
] | Current State: 59:[21, 24, 51, 42], Operations: []
Exploring Operation: 24-21=3, Resulting Numbers: [51, 42, 3]
Generated Node #2: [51, 42, 3] from Operation: 24-21=3
Current State: 59:[51, 42, 3], Operations: ['24-21=3']
Exploring Operation: 51/3=17, Resulting Numbers: [42, 17]
Generated Node #3: [42, 17] from Operation: 51/3=17
Current State: 59:[42, 17], Operations: ['24-21=3', '51/3=17']
Exploring Operation: 42+17=59, Resulting Numbers: [59]
59,59 equal: Goal Reached
| 4 |
[
29,
39,
60,
3
] | 28 | [
"29+60=89",
"39*3=117",
"117-89=28"
] | Current State: 28:[29, 39, 60, 3], Operations: []
Exploring Operation: 29+60=89, Resulting Numbers: [39, 3, 89]
Generated Node #2: [39, 3, 89] from Operation: 29+60=89
Current State: 28:[39, 3, 89], Operations: ['29+60=89']
Exploring Operation: 39*3=117, Resulting Numbers: [89, 117]
Generated Node #3: [89, 117] from Operation: 39*3=117
Current State: 28:[89, 117], Operations: ['29+60=89', '39*3=117']
Exploring Operation: 117-89=28, Resulting Numbers: [28]
28,28 equal: Goal Reached
| 4 |
[
35,
44,
91,
37
] | 96 | [
"44-37=7",
"35/7=5",
"91+5=96"
] | Current State: 96:[35, 44, 91, 37], Operations: []
Exploring Operation: 44-37=7, Resulting Numbers: [35, 91, 7]
Generated Node #2: [35, 91, 7] from Operation: 44-37=7
Current State: 96:[35, 91, 7], Operations: ['44-37=7']
Exploring Operation: 35/7=5, Resulting Numbers: [91, 5]
Generated Node #3: [91, 5] from Operation: 35/7=5
Current State: 96:[91, 5], Operations: ['44-37=7', '35/7=5']
Exploring Operation: 91+5=96, Resulting Numbers: [96]
96,96 equal: Goal Reached
| 4 |
[
90,
37,
48,
93
] | 88 | [
"90-37=53",
"48+93=141",
"141-53=88"
] | Current State: 88:[90, 37, 48, 93], Operations: []
Exploring Operation: 90-37=53, Resulting Numbers: [48, 93, 53]
Generated Node #2: [48, 93, 53] from Operation: 90-37=53
Current State: 88:[48, 93, 53], Operations: ['90-37=53']
Exploring Operation: 48+93=141, Resulting Numbers: [53, 141]
Generated Node #3: [53, 141] from Operation: 48+93=141
Current State: 88:[53, 141], Operations: ['90-37=53', '48+93=141']
Exploring Operation: 141-53=88, Resulting Numbers: [88]
88,88 equal: Goal Reached
| 4 |
[
31,
73,
60,
79
] | 85 | [
"31+73=104",
"79-60=19",
"104-19=85"
] | Current State: 85:[31, 73, 60, 79], Operations: []
Exploring Operation: 31+73=104, Resulting Numbers: [60, 79, 104]
Generated Node #2: [60, 79, 104] from Operation: 31+73=104
Current State: 85:[60, 79, 104], Operations: ['31+73=104']
Exploring Operation: 79-60=19, Resulting Numbers: [104, 19]
Generated Node #3: [104, 19] from Operation: 79-60=19
Current State: 85:[104, 19], Operations: ['31+73=104', '79-60=19']
Exploring Operation: 104-19=85, Resulting Numbers: [85]
85,85 equal: Goal Reached
| 4 |
[
90,
2,
8,
18
] | 11 | [
"90-18=72",
"72/8=9",
"2+9=11"
] | Current State: 11:[90, 2, 8, 18], Operations: []
Exploring Operation: 90-18=72, Resulting Numbers: [2, 8, 72]
Generated Node #2: [2, 8, 72] from Operation: 90-18=72
Current State: 11:[2, 8, 72], Operations: ['90-18=72']
Exploring Operation: 72/8=9, Resulting Numbers: [2, 9]
Generated Node #3: [2, 9] from Operation: 72/8=9
Current State: 11:[2, 9], Operations: ['90-18=72', '72/8=9']
Exploring Operation: 2+9=11, Resulting Numbers: [11]
11,11 equal: Goal Reached
| 4 |
[
77,
19,
6,
44
] | 46 | [
"77+19=96",
"6+44=50",
"96-50=46"
] | Current State: 46:[77, 19, 6, 44], Operations: []
Exploring Operation: 77+19=96, Resulting Numbers: [6, 44, 96]
Generated Node #2: [6, 44, 96] from Operation: 77+19=96
Current State: 46:[6, 44, 96], Operations: ['77+19=96']
Exploring Operation: 6+44=50, Resulting Numbers: [96, 50]
Generated Node #3: [96, 50] from Operation: 6+44=50
Current State: 46:[96, 50], Operations: ['77+19=96', '6+44=50']
Exploring Operation: 96-50=46, Resulting Numbers: [46]
46,46 equal: Goal Reached
| 4 |
[
14,
71,
2,
92
] | 11 | [
"71-14=57",
"92/2=46",
"57-46=11"
] | Current State: 11:[14, 71, 2, 92], Operations: []
Exploring Operation: 71-14=57, Resulting Numbers: [2, 92, 57]
Generated Node #2: [2, 92, 57] from Operation: 71-14=57
Current State: 11:[2, 92, 57], Operations: ['71-14=57']
Exploring Operation: 92/2=46, Resulting Numbers: [57, 46]
Generated Node #3: [57, 46] from Operation: 92/2=46
Current State: 11:[57, 46], Operations: ['71-14=57', '92/2=46']
Exploring Operation: 57-46=11, Resulting Numbers: [11]
11,11 equal: Goal Reached
| 4 |
[
60,
58,
3,
88
] | 89 | [
"60-58=2",
"3+88=91",
"91-2=89"
] | Current State: 89:[60, 58, 3, 88], Operations: []
Exploring Operation: 60-58=2, Resulting Numbers: [3, 88, 2]
Generated Node #2: [3, 88, 2] from Operation: 60-58=2
Current State: 89:[3, 88, 2], Operations: ['60-58=2']
Exploring Operation: 3+88=91, Resulting Numbers: [2, 91]
Generated Node #3: [2, 91] from Operation: 3+88=91
Current State: 89:[2, 91], Operations: ['60-58=2', '3+88=91']
Exploring Operation: 91-2=89, Resulting Numbers: [89]
89,89 equal: Goal Reached
| 4 |
[
38,
35,
44,
61
] | 56 | [
"38+35=73",
"61-44=17",
"73-17=56"
] | Current State: 56:[38, 35, 44, 61], Operations: []
Exploring Operation: 38+35=73, Resulting Numbers: [44, 61, 73]
Generated Node #2: [44, 61, 73] from Operation: 38+35=73
Current State: 56:[44, 61, 73], Operations: ['38+35=73']
Exploring Operation: 61-44=17, Resulting Numbers: [73, 17]
Generated Node #3: [73, 17] from Operation: 61-44=17
Current State: 56:[73, 17], Operations: ['38+35=73', '61-44=17']
Exploring Operation: 73-17=56, Resulting Numbers: [56]
56,56 equal: Goal Reached
| 4 |
[
8,
81,
75,
25
] | 19 | [
"81*25=2025",
"2025/75=27",
"27-8=19"
] | Current State: 19:[8, 81, 75, 25], Operations: []
Exploring Operation: 81*25=2025, Resulting Numbers: [8, 75, 2025]
Generated Node #2: [8, 75, 2025] from Operation: 81*25=2025
Current State: 19:[8, 75, 2025], Operations: ['81*25=2025']
Exploring Operation: 2025/75=27, Resulting Numbers: [8, 27]
Generated Node #3: [8, 27] from Operation: 2025/75=27
Current State: 19:[8, 27], Operations: ['81*25=2025', '2025/75=27']
Exploring Operation: 27-8=19, Resulting Numbers: [19]
19,19 equal: Goal Reached
| 4 |
[
74,
48,
35,
80
] | 53 | [
"48*35=1680",
"1680/80=21",
"74-21=53"
] | Current State: 53:[74, 48, 35, 80], Operations: []
Exploring Operation: 48*35=1680, Resulting Numbers: [74, 80, 1680]
Generated Node #2: [74, 80, 1680] from Operation: 48*35=1680
Current State: 53:[74, 80, 1680], Operations: ['48*35=1680']
Exploring Operation: 1680/80=21, Resulting Numbers: [74, 21]
Generated Node #3: [74, 21] from Operation: 1680/80=21
Current State: 53:[74, 21], Operations: ['48*35=1680', '1680/80=21']
Exploring Operation: 74-21=53, Resulting Numbers: [53]
53,53 equal: Goal Reached
| 4 |
[
8,
25,
15,
11
] | 16 | [
"25+15=40",
"40/8=5",
"11+5=16"
] | Current State: 16:[8, 25, 15, 11], Operations: []
Exploring Operation: 25+15=40, Resulting Numbers: [8, 11, 40]
Generated Node #2: [8, 11, 40] from Operation: 25+15=40
Current State: 16:[8, 11, 40], Operations: ['25+15=40']
Exploring Operation: 40/8=5, Resulting Numbers: [11, 5]
Generated Node #3: [11, 5] from Operation: 40/8=5
Current State: 16:[11, 5], Operations: ['25+15=40', '40/8=5']
Exploring Operation: 11+5=16, Resulting Numbers: [16]
16,16 equal: Goal Reached
| 4 |
[
32,
48,
46,
8
] | 56 | [
"32+48=80",
"80/8=10",
"46+10=56"
] | Current State: 56:[32, 48, 46, 8], Operations: []
Exploring Operation: 32+48=80, Resulting Numbers: [46, 8, 80]
Generated Node #2: [46, 8, 80] from Operation: 32+48=80
Current State: 56:[46, 8, 80], Operations: ['32+48=80']
Exploring Operation: 80/8=10, Resulting Numbers: [46, 10]
Generated Node #3: [46, 10] from Operation: 80/8=10
Current State: 56:[46, 10], Operations: ['32+48=80', '80/8=10']
Exploring Operation: 46+10=56, Resulting Numbers: [56]
56,56 equal: Goal Reached
| 4 |
[
30,
41,
4,
95
] | 20 | [
"30+41=71",
"95-4=91",
"91-71=20"
] | Current State: 20:[30, 41, 4, 95], Operations: []
Exploring Operation: 30+41=71, Resulting Numbers: [4, 95, 71]
Generated Node #2: [4, 95, 71] from Operation: 30+41=71
Current State: 20:[4, 95, 71], Operations: ['30+41=71']
Exploring Operation: 95-4=91, Resulting Numbers: [71, 91]
Generated Node #3: [71, 91] from Operation: 95-4=91
Current State: 20:[71, 91], Operations: ['30+41=71', '95-4=91']
Exploring Operation: 91-71=20, Resulting Numbers: [20]
20,20 equal: Goal Reached
| 4 |
[
7,
15,
33,
2
] | 27 | [
"15-7=8",
"33+2=35",
"35-8=27"
] | Current State: 27:[7, 15, 33, 2], Operations: []
Exploring Operation: 15-7=8, Resulting Numbers: [33, 2, 8]
Generated Node #2: [33, 2, 8] from Operation: 15-7=8
Current State: 27:[33, 2, 8], Operations: ['15-7=8']
Exploring Operation: 33+2=35, Resulting Numbers: [8, 35]
Generated Node #3: [8, 35] from Operation: 33+2=35
Current State: 27:[8, 35], Operations: ['15-7=8', '33+2=35']
Exploring Operation: 35-8=27, Resulting Numbers: [27]
27,27 equal: Goal Reached
| 4 |
[
11,
11,
90,
75
] | 90 | [
"11-11=0",
"75*0=0",
"90+0=90"
] | Current State: 90:[11, 11, 90, 75], Operations: []
Exploring Operation: 11-11=0, Resulting Numbers: [90, 75, 0]
Generated Node #2: [90, 75, 0] from Operation: 11-11=0
Current State: 90:[90, 75, 0], Operations: ['11-11=0']
Exploring Operation: 75*0=0, Resulting Numbers: [90, 0]
Generated Node #3: [90, 0] from Operation: 75*0=0
Current State: 90:[90, 0], Operations: ['11-11=0', '75*0=0']
Exploring Operation: 90+0=90, Resulting Numbers: [90]
90,90 equal: Goal Reached
| 4 |
[
90,
49,
54,
19
] | 76 | [
"90-49=41",
"54-19=35",
"41+35=76"
] | Current State: 76:[90, 49, 54, 19], Operations: []
Exploring Operation: 90-49=41, Resulting Numbers: [54, 19, 41]
Generated Node #2: [54, 19, 41] from Operation: 90-49=41
Current State: 76:[54, 19, 41], Operations: ['90-49=41']
Exploring Operation: 54-19=35, Resulting Numbers: [41, 35]
Generated Node #3: [41, 35] from Operation: 54-19=35
Current State: 76:[41, 35], Operations: ['90-49=41', '54-19=35']
Exploring Operation: 41+35=76, Resulting Numbers: [76]
76,76 equal: Goal Reached
| 4 |
[
33,
73,
5,
91
] | 57 | [
"91-73=18",
"5*18=90",
"90-33=57"
] | Current State: 57:[33, 73, 5, 91], Operations: []
Exploring Operation: 91-73=18, Resulting Numbers: [33, 5, 18]
Generated Node #2: [33, 5, 18] from Operation: 91-73=18
Current State: 57:[33, 5, 18], Operations: ['91-73=18']
Exploring Operation: 5*18=90, Resulting Numbers: [33, 90]
Generated Node #3: [33, 90] from Operation: 5*18=90
Current State: 57:[33, 90], Operations: ['91-73=18', '5*18=90']
Exploring Operation: 90-33=57, Resulting Numbers: [57]
57,57 equal: Goal Reached
| 4 |
[
86,
2,
50,
33
] | 56 | [
"86-33=53",
"2*53=106",
"106-50=56"
] | Current State: 56:[86, 2, 50, 33], Operations: []
Exploring Operation: 86-33=53, Resulting Numbers: [2, 50, 53]
Generated Node #2: [2, 50, 53] from Operation: 86-33=53
Current State: 56:[2, 50, 53], Operations: ['86-33=53']
Exploring Operation: 2*53=106, Resulting Numbers: [50, 106]
Generated Node #3: [50, 106] from Operation: 2*53=106
Current State: 56:[50, 106], Operations: ['86-33=53', '2*53=106']
Exploring Operation: 106-50=56, Resulting Numbers: [56]
56,56 equal: Goal Reached
| 4 |
[
15,
55,
44,
12
] | 88 | [
"55*12=660",
"660/15=44",
"44+44=88"
] | Current State: 88:[15, 55, 44, 12], Operations: []
Exploring Operation: 55*12=660, Resulting Numbers: [15, 44, 660]
Generated Node #2: [15, 44, 660] from Operation: 55*12=660
Current State: 88:[15, 44, 660], Operations: ['55*12=660']
Exploring Operation: 660/15=44, Resulting Numbers: [44, 44]
Generated Node #3: [44, 44] from Operation: 660/15=44
Current State: 88:[44, 44], Operations: ['55*12=660', '660/15=44']
Exploring Operation: 44+44=88, Resulting Numbers: [88]
88,88 equal: Goal Reached
| 4 |
[
16,
62,
9,
5
] | 60 | [
"62-16=46",
"9+5=14",
"46+14=60"
] | Current State: 60:[16, 62, 9, 5], Operations: []
Exploring Operation: 62-16=46, Resulting Numbers: [9, 5, 46]
Generated Node #2: [9, 5, 46] from Operation: 62-16=46
Current State: 60:[9, 5, 46], Operations: ['62-16=46']
Exploring Operation: 9+5=14, Resulting Numbers: [46, 14]
Generated Node #3: [46, 14] from Operation: 9+5=14
Current State: 60:[46, 14], Operations: ['62-16=46', '9+5=14']
Exploring Operation: 46+14=60, Resulting Numbers: [60]
60,60 equal: Goal Reached
| 4 |
[
75,
78,
7,
44
] | 11 | [
"78-75=3",
"7-3=4",
"44/4=11"
] | Current State: 11:[75, 78, 7, 44], Operations: []
Exploring Operation: 78-75=3, Resulting Numbers: [7, 44, 3]
Generated Node #2: [7, 44, 3] from Operation: 78-75=3
Current State: 11:[7, 44, 3], Operations: ['78-75=3']
Exploring Operation: 7-3=4, Resulting Numbers: [44, 4]
Generated Node #3: [44, 4] from Operation: 7-3=4
Current State: 11:[44, 4], Operations: ['78-75=3', '7-3=4']
Exploring Operation: 44/4=11, Resulting Numbers: [11]
11,11 equal: Goal Reached
| 4 |
[
49,
74,
7,
20
] | 35 | [
"74-49=25",
"25-20=5",
"7*5=35"
] | Current State: 35:[49, 74, 7, 20], Operations: []
Exploring Operation: 74-49=25, Resulting Numbers: [7, 20, 25]
Generated Node #2: [7, 20, 25] from Operation: 74-49=25
Current State: 35:[7, 20, 25], Operations: ['74-49=25']
Exploring Operation: 25-20=5, Resulting Numbers: [7, 5]
Generated Node #3: [7, 5] from Operation: 25-20=5
Current State: 35:[7, 5], Operations: ['74-49=25', '25-20=5']
Exploring Operation: 7*5=35, Resulting Numbers: [35]
35,35 equal: Goal Reached
| 4 |
[
36,
7,
24,
99
] | 94 | [
"36-7=29",
"24+99=123",
"123-29=94"
] | Current State: 94:[36, 7, 24, 99], Operations: []
Exploring Operation: 36-7=29, Resulting Numbers: [24, 99, 29]
Generated Node #2: [24, 99, 29] from Operation: 36-7=29
Current State: 94:[24, 99, 29], Operations: ['36-7=29']
Exploring Operation: 24+99=123, Resulting Numbers: [29, 123]
Generated Node #3: [29, 123] from Operation: 24+99=123
Current State: 94:[29, 123], Operations: ['36-7=29', '24+99=123']
Exploring Operation: 123-29=94, Resulting Numbers: [94]
94,94 equal: Goal Reached
| 4 |
[
19,
11,
99,
2
] | 36 | [
"11+99=110",
"110/2=55",
"55-19=36"
] | Current State: 36:[19, 11, 99, 2], Operations: []
Exploring Operation: 11+99=110, Resulting Numbers: [19, 2, 110]
Generated Node #2: [19, 2, 110] from Operation: 11+99=110
Current State: 36:[19, 2, 110], Operations: ['11+99=110']
Exploring Operation: 110/2=55, Resulting Numbers: [19, 55]
Generated Node #3: [19, 55] from Operation: 110/2=55
Current State: 36:[19, 55], Operations: ['11+99=110', '110/2=55']
Exploring Operation: 55-19=36, Resulting Numbers: [36]
36,36 equal: Goal Reached
| 4 |
[
21,
32,
21,
84
] | 36 | [
"21*32=672",
"84+672=756",
"756/21=36"
] | Current State: 36:[21, 32, 21, 84], Operations: []
Exploring Operation: 21*32=672, Resulting Numbers: [84, 672]
Generated Node #2: [84, 672] from Operation: 21*32=672
Current State: 36:[84, 672], Operations: ['21*32=672']
Exploring Operation: 84+672=756, Resulting Numbers: [756]
756,36 equal: Goal Reached
Exploring Operation: 756/21=36, Resulting Numbers: [36]
36,36 equal: Goal Reached
| 4 |
[
8,
32,
80,
36
] | 98 | [
"80*36=2880",
"2880/32=90",
"8+90=98"
] | Current State: 98:[8, 32, 80, 36], Operations: []
Exploring Operation: 80*36=2880, Resulting Numbers: [8, 32, 2880]
Generated Node #2: [8, 32, 2880] from Operation: 80*36=2880
Current State: 98:[8, 32, 2880], Operations: ['80*36=2880']
Exploring Operation: 2880/32=90, Resulting Numbers: [8, 90]
Generated Node #3: [8, 90] from Operation: 2880/32=90
Current State: 98:[8, 90], Operations: ['80*36=2880', '2880/32=90']
Exploring Operation: 8+90=98, Resulting Numbers: [98]
98,98 equal: Goal Reached
| 4 |
[
21,
19,
2,
50
] | 27 | [
"21-19=2",
"50/2=25",
"2+25=27"
] | Current State: 27:[21, 19, 2, 50], Operations: []
Exploring Operation: 21-19=2, Resulting Numbers: [2, 50, 2]
Generated Node #2: [2, 50, 2] from Operation: 21-19=2
Current State: 27:[2, 50, 2], Operations: ['21-19=2']
Exploring Operation: 50/2=25, Resulting Numbers: [25]
25,27 equal: Goal Reached
Exploring Operation: 2+25=27, Resulting Numbers: [27]
27,27 equal: Goal Reached
| 4 |
[
82,
1,
44,
51
] | 76 | [
"82+1=83",
"51-44=7",
"83-7=76"
] | Current State: 76:[82, 1, 44, 51], Operations: []
Exploring Operation: 82+1=83, Resulting Numbers: [44, 51, 83]
Generated Node #2: [44, 51, 83] from Operation: 82+1=83
Current State: 76:[44, 51, 83], Operations: ['82+1=83']
Exploring Operation: 51-44=7, Resulting Numbers: [83, 7]
Generated Node #3: [83, 7] from Operation: 51-44=7
Current State: 76:[83, 7], Operations: ['82+1=83', '51-44=7']
Exploring Operation: 83-7=76, Resulting Numbers: [76]
76,76 equal: Goal Reached
| 4 |
[
14,
53,
22,
68
] | 85 | [
"53-14=39",
"68-22=46",
"39+46=85"
] | Current State: 85:[14, 53, 22, 68], Operations: []
Exploring Operation: 53-14=39, Resulting Numbers: [22, 68, 39]
Generated Node #2: [22, 68, 39] from Operation: 53-14=39
Current State: 85:[22, 68, 39], Operations: ['53-14=39']
Exploring Operation: 68-22=46, Resulting Numbers: [39, 46]
Generated Node #3: [39, 46] from Operation: 68-22=46
Current State: 85:[39, 46], Operations: ['53-14=39', '68-22=46']
Exploring Operation: 39+46=85, Resulting Numbers: [85]
85,85 equal: Goal Reached
| 4 |
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