nums listlengths 4 4 | target int64 10 100 | solution listlengths 3 3 | optimal_path stringlengths 282 529 | start_size int64 4 4 |
|---|---|---|---|---|
[
20,
29,
3,
4
] | 15 | [
"20+29=49",
"49-4=45",
"45/3=15"
] | Current State: 15:[20, 29, 3, 4], Operations: []
Exploring Operation: 20+29=49, Resulting Numbers: [3, 4, 49]
Generated Node #2: [3, 4, 49] from Operation: 20+29=49
Current State: 15:[3, 4, 49], Operations: ['20+29=49']
Exploring Operation: 49-4=45, Resulting Numbers: [3, 45]
Generated Node #3: [3, 45] from Operation: 49-4=45
Current State: 15:[3, 45], Operations: ['20+29=49', '49-4=45']
Exploring Operation: 45/3=15, Resulting Numbers: [15]
15,15 equal: Goal Reached
| 4 |
[
22,
65,
12,
96
] | 21 | [
"22+65=87",
"12+96=108",
"108-87=21"
] | Current State: 21:[22, 65, 12, 96], Operations: []
Exploring Operation: 22+65=87, Resulting Numbers: [12, 96, 87]
Generated Node #2: [12, 96, 87] from Operation: 22+65=87
Current State: 21:[12, 96, 87], Operations: ['22+65=87']
Exploring Operation: 12+96=108, Resulting Numbers: [87, 108]
Generated Node #3: [87, 108] from Operation: 12+96=108
Current State: 21:[87, 108], Operations: ['22+65=87', '12+96=108']
Exploring Operation: 108-87=21, Resulting Numbers: [21]
21,21 equal: Goal Reached
| 4 |
[
68,
80,
61,
59
] | 10 | [
"80-68=12",
"61+59=120",
"120/12=10"
] | Current State: 10:[68, 80, 61, 59], Operations: []
Exploring Operation: 80-68=12, Resulting Numbers: [61, 59, 12]
Generated Node #2: [61, 59, 12] from Operation: 80-68=12
Current State: 10:[61, 59, 12], Operations: ['80-68=12']
Exploring Operation: 61+59=120, Resulting Numbers: [12, 120]
Generated Node #3: [12, 120] from Operation: 61+59=120
Current State: 10:[12, 120], Operations: ['80-68=12', '61+59=120']
Exploring Operation: 120/12=10, Resulting Numbers: [10]
10,10 equal: Goal Reached
| 4 |
[
74,
26,
8,
12
] | 68 | [
"74-26=48",
"8+12=20",
"48+20=68"
] | Current State: 68:[74, 26, 8, 12], Operations: []
Exploring Operation: 74-26=48, Resulting Numbers: [8, 12, 48]
Generated Node #2: [8, 12, 48] from Operation: 74-26=48
Current State: 68:[8, 12, 48], Operations: ['74-26=48']
Exploring Operation: 8+12=20, Resulting Numbers: [48, 20]
Generated Node #3: [48, 20] from Operation: 8+12=20
Current State: 68:[48, 20], Operations: ['74-26=48', '8+12=20']
Exploring Operation: 48+20=68, Resulting Numbers: [68]
68,68 equal: Goal Reached
| 4 |
[
32,
32,
1,
97
] | 97 | [
"32-32=0",
"1*97=97",
"0+97=97"
] | Current State: 97:[32, 32, 1, 97], Operations: []
Exploring Operation: 32-32=0, Resulting Numbers: [1, 97, 0]
Generated Node #2: [1, 97, 0] from Operation: 32-32=0
Current State: 97:[1, 97, 0], Operations: ['32-32=0']
Exploring Operation: 1*97=97, Resulting Numbers: [0, 97]
Generated Node #3: [0, 97] from Operation: 1*97=97
Current State: 97:[0, 97], Operations: ['32-32=0', '1*97=97']
Exploring Operation: 0+97=97, Resulting Numbers: [97]
97,97 equal: Goal Reached
| 4 |
[
80,
72,
47,
62
] | 23 | [
"80-72=8",
"62-47=15",
"8+15=23"
] | Current State: 23:[80, 72, 47, 62], Operations: []
Exploring Operation: 80-72=8, Resulting Numbers: [47, 62, 8]
Generated Node #2: [47, 62, 8] from Operation: 80-72=8
Current State: 23:[47, 62, 8], Operations: ['80-72=8']
Exploring Operation: 62-47=15, Resulting Numbers: [8, 15]
Generated Node #3: [8, 15] from Operation: 62-47=15
Current State: 23:[8, 15], Operations: ['80-72=8', '62-47=15']
Exploring Operation: 8+15=23, Resulting Numbers: [23]
23,23 equal: Goal Reached
| 4 |
[
35,
7,
37,
39
] | 23 | [
"37-35=2",
"7+39=46",
"46/2=23"
] | Current State: 23:[35, 7, 37, 39], Operations: []
Exploring Operation: 37-35=2, Resulting Numbers: [7, 39, 2]
Generated Node #2: [7, 39, 2] from Operation: 37-35=2
Current State: 23:[7, 39, 2], Operations: ['37-35=2']
Exploring Operation: 7+39=46, Resulting Numbers: [2, 46]
Generated Node #3: [2, 46] from Operation: 7+39=46
Current State: 23:[2, 46], Operations: ['37-35=2', '7+39=46']
Exploring Operation: 46/2=23, Resulting Numbers: [23]
23,23 equal: Goal Reached
| 4 |
[
81,
68,
32,
12
] | 32 | [
"81-68=13",
"13-12=1",
"32*1=32"
] | Current State: 32:[81, 68, 32, 12], Operations: []
Exploring Operation: 81-68=13, Resulting Numbers: [32, 12, 13]
Generated Node #2: [32, 12, 13] from Operation: 81-68=13
Current State: 32:[32, 12, 13], Operations: ['81-68=13']
Exploring Operation: 13-12=1, Resulting Numbers: [32, 1]
Generated Node #3: [32, 1] from Operation: 13-12=1
Current State: 32:[32, 1], Operations: ['81-68=13', '13-12=1']
Exploring Operation: 32*1=32, Resulting Numbers: [32]
32,32 equal: Goal Reached
| 4 |
[
19,
86,
51,
58
] | 98 | [
"19+86=105",
"58-51=7",
"105-7=98"
] | Current State: 98:[19, 86, 51, 58], Operations: []
Exploring Operation: 19+86=105, Resulting Numbers: [51, 58, 105]
Generated Node #2: [51, 58, 105] from Operation: 19+86=105
Current State: 98:[51, 58, 105], Operations: ['19+86=105']
Exploring Operation: 58-51=7, Resulting Numbers: [105, 7]
Generated Node #3: [105, 7] from Operation: 58-51=7
Current State: 98:[105, 7], Operations: ['19+86=105', '58-51=7']
Exploring Operation: 105-7=98, Resulting Numbers: [98]
98,98 equal: Goal Reached
| 4 |
[
15,
75,
60,
73
] | 73 | [
"75-15=60",
"60+73=133",
"133-60=73"
] | Current State: 73:[15, 75, 60, 73], Operations: []
Exploring Operation: 75-15=60, Resulting Numbers: [60, 73, 60]
Generated Node #2: [60, 73, 60] from Operation: 75-15=60
Current State: 73:[60, 73, 60], Operations: ['75-15=60']
Exploring Operation: 60+73=133, Resulting Numbers: [133]
133,73 equal: Goal Reached
Exploring Operation: 133-60=73, Resulting Numbers: [73]
73,73 equal: Goal Reached
| 4 |
[
80,
28,
66,
5
] | 70 | [
"80-28=52",
"66-52=14",
"5*14=70"
] | Current State: 70:[80, 28, 66, 5], Operations: []
Exploring Operation: 80-28=52, Resulting Numbers: [66, 5, 52]
Generated Node #2: [66, 5, 52] from Operation: 80-28=52
Current State: 70:[66, 5, 52], Operations: ['80-28=52']
Exploring Operation: 66-52=14, Resulting Numbers: [5, 14]
Generated Node #3: [5, 14] from Operation: 66-52=14
Current State: 70:[5, 14], Operations: ['80-28=52', '66-52=14']
Exploring Operation: 5*14=70, Resulting Numbers: [70]
70,70 equal: Goal Reached
| 4 |
[
54,
44,
79,
5
] | 81 | [
"54-44=10",
"10/5=2",
"79+2=81"
] | Current State: 81:[54, 44, 79, 5], Operations: []
Exploring Operation: 54-44=10, Resulting Numbers: [79, 5, 10]
Generated Node #2: [79, 5, 10] from Operation: 54-44=10
Current State: 81:[79, 5, 10], Operations: ['54-44=10']
Exploring Operation: 10/5=2, Resulting Numbers: [79, 2]
Generated Node #3: [79, 2] from Operation: 10/5=2
Current State: 81:[79, 2], Operations: ['54-44=10', '10/5=2']
Exploring Operation: 79+2=81, Resulting Numbers: [81]
81,81 equal: Goal Reached
| 4 |
[
21,
11,
6,
30
] | 94 | [
"21*30=630",
"630/6=105",
"105-11=94"
] | Current State: 94:[21, 11, 6, 30], Operations: []
Exploring Operation: 21*30=630, Resulting Numbers: [11, 6, 630]
Generated Node #2: [11, 6, 630] from Operation: 21*30=630
Current State: 94:[11, 6, 630], Operations: ['21*30=630']
Exploring Operation: 630/6=105, Resulting Numbers: [11, 105]
Generated Node #3: [11, 105] from Operation: 630/6=105
Current State: 94:[11, 105], Operations: ['21*30=630', '630/6=105']
Exploring Operation: 105-11=94, Resulting Numbers: [94]
94,94 equal: Goal Reached
| 4 |
[
31,
75,
22,
67
] | 72 | [
"31-22=9",
"75-67=8",
"9*8=72"
] | Current State: 72:[31, 75, 22, 67], Operations: []
Exploring Operation: 31-22=9, Resulting Numbers: [75, 67, 9]
Generated Node #2: [75, 67, 9] from Operation: 31-22=9
Current State: 72:[75, 67, 9], Operations: ['31-22=9']
Exploring Operation: 75-67=8, Resulting Numbers: [9, 8]
Generated Node #3: [9, 8] from Operation: 75-67=8
Current State: 72:[9, 8], Operations: ['31-22=9', '75-67=8']
Exploring Operation: 9*8=72, Resulting Numbers: [72]
72,72 equal: Goal Reached
| 4 |
[
2,
75,
23,
6
] | 51 | [
"23-2=21",
"6*21=126",
"126-75=51"
] | Current State: 51:[2, 75, 23, 6], Operations: []
Exploring Operation: 23-2=21, Resulting Numbers: [75, 6, 21]
Generated Node #2: [75, 6, 21] from Operation: 23-2=21
Current State: 51:[75, 6, 21], Operations: ['23-2=21']
Exploring Operation: 6*21=126, Resulting Numbers: [75, 126]
Generated Node #3: [75, 126] from Operation: 6*21=126
Current State: 51:[75, 126], Operations: ['23-2=21', '6*21=126']
Exploring Operation: 126-75=51, Resulting Numbers: [51]
51,51 equal: Goal Reached
| 4 |
[
27,
49,
70,
35
] | 24 | [
"49-27=22",
"70/35=2",
"22+2=24"
] | Current State: 24:[27, 49, 70, 35], Operations: []
Exploring Operation: 49-27=22, Resulting Numbers: [70, 35, 22]
Generated Node #2: [70, 35, 22] from Operation: 49-27=22
Current State: 24:[70, 35, 22], Operations: ['49-27=22']
Exploring Operation: 70/35=2, Resulting Numbers: [22, 2]
Generated Node #3: [22, 2] from Operation: 70/35=2
Current State: 24:[22, 2], Operations: ['49-27=22', '70/35=2']
Exploring Operation: 22+2=24, Resulting Numbers: [24]
24,24 equal: Goal Reached
| 4 |
[
54,
21,
47,
35
] | 94 | [
"54-21=33",
"35-33=2",
"47*2=94"
] | Current State: 94:[54, 21, 47, 35], Operations: []
Exploring Operation: 54-21=33, Resulting Numbers: [47, 35, 33]
Generated Node #2: [47, 35, 33] from Operation: 54-21=33
Current State: 94:[47, 35, 33], Operations: ['54-21=33']
Exploring Operation: 35-33=2, Resulting Numbers: [47, 2]
Generated Node #3: [47, 2] from Operation: 35-33=2
Current State: 94:[47, 2], Operations: ['54-21=33', '35-33=2']
Exploring Operation: 47*2=94, Resulting Numbers: [94]
94,94 equal: Goal Reached
| 4 |
[
63,
95,
44,
53
] | 61 | [
"63+95=158",
"44+53=97",
"158-97=61"
] | Current State: 61:[63, 95, 44, 53], Operations: []
Exploring Operation: 63+95=158, Resulting Numbers: [44, 53, 158]
Generated Node #2: [44, 53, 158] from Operation: 63+95=158
Current State: 61:[44, 53, 158], Operations: ['63+95=158']
Exploring Operation: 44+53=97, Resulting Numbers: [158, 97]
Generated Node #3: [158, 97] from Operation: 44+53=97
Current State: 61:[158, 97], Operations: ['63+95=158', '44+53=97']
Exploring Operation: 158-97=61, Resulting Numbers: [61]
61,61 equal: Goal Reached
| 4 |
[
26,
33,
20,
12
] | 67 | [
"26+33=59",
"20-12=8",
"59+8=67"
] | Current State: 67:[26, 33, 20, 12], Operations: []
Exploring Operation: 26+33=59, Resulting Numbers: [20, 12, 59]
Generated Node #2: [20, 12, 59] from Operation: 26+33=59
Current State: 67:[20, 12, 59], Operations: ['26+33=59']
Exploring Operation: 20-12=8, Resulting Numbers: [59, 8]
Generated Node #3: [59, 8] from Operation: 20-12=8
Current State: 67:[59, 8], Operations: ['26+33=59', '20-12=8']
Exploring Operation: 59+8=67, Resulting Numbers: [67]
67,67 equal: Goal Reached
| 4 |
[
70,
17,
35,
6
] | 94 | [
"70-17=53",
"35+6=41",
"53+41=94"
] | Current State: 94:[70, 17, 35, 6], Operations: []
Exploring Operation: 70-17=53, Resulting Numbers: [35, 6, 53]
Generated Node #2: [35, 6, 53] from Operation: 70-17=53
Current State: 94:[35, 6, 53], Operations: ['70-17=53']
Exploring Operation: 35+6=41, Resulting Numbers: [53, 41]
Generated Node #3: [53, 41] from Operation: 35+6=41
Current State: 94:[53, 41], Operations: ['70-17=53', '35+6=41']
Exploring Operation: 53+41=94, Resulting Numbers: [94]
94,94 equal: Goal Reached
| 4 |
[
52,
94,
99,
43
] | 99 | [
"94-52=42",
"43-42=1",
"99*1=99"
] | Current State: 99:[52, 94, 99, 43], Operations: []
Exploring Operation: 94-52=42, Resulting Numbers: [99, 43, 42]
Generated Node #2: [99, 43, 42] from Operation: 94-52=42
Current State: 99:[99, 43, 42], Operations: ['94-52=42']
Exploring Operation: 43-42=1, Resulting Numbers: [99, 1]
Generated Node #3: [99, 1] from Operation: 43-42=1
Current State: 99:[99, 1], Operations: ['94-52=42', '43-42=1']
Exploring Operation: 99*1=99, Resulting Numbers: [99]
99,99 equal: Goal Reached
| 4 |
[
2,
20,
28,
80
] | 34 | [
"20-2=18",
"80-28=52",
"52-18=34"
] | Current State: 34:[2, 20, 28, 80], Operations: []
Exploring Operation: 20-2=18, Resulting Numbers: [28, 80, 18]
Generated Node #2: [28, 80, 18] from Operation: 20-2=18
Current State: 34:[28, 80, 18], Operations: ['20-2=18']
Exploring Operation: 80-28=52, Resulting Numbers: [18, 52]
Generated Node #3: [18, 52] from Operation: 80-28=52
Current State: 34:[18, 52], Operations: ['20-2=18', '80-28=52']
Exploring Operation: 52-18=34, Resulting Numbers: [34]
34,34 equal: Goal Reached
| 4 |
[
55,
88,
29,
83
] | 18 | [
"88-83=5",
"55/5=11",
"29-11=18"
] | Current State: 18:[55, 88, 29, 83], Operations: []
Exploring Operation: 88-83=5, Resulting Numbers: [55, 29, 5]
Generated Node #2: [55, 29, 5] from Operation: 88-83=5
Current State: 18:[55, 29, 5], Operations: ['88-83=5']
Exploring Operation: 55/5=11, Resulting Numbers: [29, 11]
Generated Node #3: [29, 11] from Operation: 55/5=11
Current State: 18:[29, 11], Operations: ['88-83=5', '55/5=11']
Exploring Operation: 29-11=18, Resulting Numbers: [18]
18,18 equal: Goal Reached
| 4 |
[
82,
1,
41,
75
] | 25 | [
"82/41=2",
"1+2=3",
"75/3=25"
] | Current State: 25:[82, 1, 41, 75], Operations: []
Exploring Operation: 82/41=2, Resulting Numbers: [1, 75, 2]
Generated Node #2: [1, 75, 2] from Operation: 82/41=2
Current State: 25:[1, 75, 2], Operations: ['82/41=2']
Exploring Operation: 1+2=3, Resulting Numbers: [75, 3]
Generated Node #3: [75, 3] from Operation: 1+2=3
Current State: 25:[75, 3], Operations: ['82/41=2', '1+2=3']
Exploring Operation: 75/3=25, Resulting Numbers: [25]
25,25 equal: Goal Reached
| 4 |
[
83,
37,
2,
10
] | 58 | [
"83-37=46",
"2+10=12",
"46+12=58"
] | Current State: 58:[83, 37, 2, 10], Operations: []
Exploring Operation: 83-37=46, Resulting Numbers: [2, 10, 46]
Generated Node #2: [2, 10, 46] from Operation: 83-37=46
Current State: 58:[2, 10, 46], Operations: ['83-37=46']
Exploring Operation: 2+10=12, Resulting Numbers: [46, 12]
Generated Node #3: [46, 12] from Operation: 2+10=12
Current State: 58:[46, 12], Operations: ['83-37=46', '2+10=12']
Exploring Operation: 46+12=58, Resulting Numbers: [58]
58,58 equal: Goal Reached
| 4 |
[
65,
18,
99,
34
] | 50 | [
"65+18=83",
"99+34=133",
"133-83=50"
] | Current State: 50:[65, 18, 99, 34], Operations: []
Exploring Operation: 65+18=83, Resulting Numbers: [99, 34, 83]
Generated Node #2: [99, 34, 83] from Operation: 65+18=83
Current State: 50:[99, 34, 83], Operations: ['65+18=83']
Exploring Operation: 99+34=133, Resulting Numbers: [83, 133]
Generated Node #3: [83, 133] from Operation: 99+34=133
Current State: 50:[83, 133], Operations: ['65+18=83', '99+34=133']
Exploring Operation: 133-83=50, Resulting Numbers: [50]
50,50 equal: Goal Reached
| 4 |
[
23,
80,
77,
78
] | 57 | [
"80-23=57",
"78-77=1",
"57*1=57"
] | Current State: 57:[23, 80, 77, 78], Operations: []
Exploring Operation: 80-23=57, Resulting Numbers: [77, 78, 57]
Generated Node #2: [77, 78, 57] from Operation: 80-23=57
Current State: 57:[77, 78, 57], Operations: ['80-23=57']
Exploring Operation: 78-77=1, Resulting Numbers: [57, 1]
Generated Node #3: [57, 1] from Operation: 78-77=1
Current State: 57:[57, 1], Operations: ['80-23=57', '78-77=1']
Exploring Operation: 57*1=57, Resulting Numbers: [57]
57,57 equal: Goal Reached
| 4 |
[
44,
68,
64,
20
] | 96 | [
"44-20=24",
"68-64=4",
"24*4=96"
] | Current State: 96:[44, 68, 64, 20], Operations: []
Exploring Operation: 44-20=24, Resulting Numbers: [68, 64, 24]
Generated Node #2: [68, 64, 24] from Operation: 44-20=24
Current State: 96:[68, 64, 24], Operations: ['44-20=24']
Exploring Operation: 68-64=4, Resulting Numbers: [24, 4]
Generated Node #3: [24, 4] from Operation: 68-64=4
Current State: 96:[24, 4], Operations: ['44-20=24', '68-64=4']
Exploring Operation: 24*4=96, Resulting Numbers: [96]
96,96 equal: Goal Reached
| 4 |
[
53,
55,
88,
21
] | 69 | [
"55-53=2",
"88-21=67",
"2+67=69"
] | Current State: 69:[53, 55, 88, 21], Operations: []
Exploring Operation: 55-53=2, Resulting Numbers: [88, 21, 2]
Generated Node #2: [88, 21, 2] from Operation: 55-53=2
Current State: 69:[88, 21, 2], Operations: ['55-53=2']
Exploring Operation: 88-21=67, Resulting Numbers: [2, 67]
Generated Node #3: [2, 67] from Operation: 88-21=67
Current State: 69:[2, 67], Operations: ['55-53=2', '88-21=67']
Exploring Operation: 2+67=69, Resulting Numbers: [69]
69,69 equal: Goal Reached
| 4 |
[
54,
74,
54,
27
] | 48 | [
"54/54=1",
"74-27=47",
"1+47=48"
] | Current State: 48:[54, 74, 54, 27], Operations: []
Exploring Operation: 54/54=1, Resulting Numbers: [74, 27, 1]
Generated Node #2: [74, 27, 1] from Operation: 54/54=1
Current State: 48:[74, 27, 1], Operations: ['54/54=1']
Exploring Operation: 74-27=47, Resulting Numbers: [1, 47]
Generated Node #3: [1, 47] from Operation: 74-27=47
Current State: 48:[1, 47], Operations: ['54/54=1', '74-27=47']
Exploring Operation: 1+47=48, Resulting Numbers: [48]
48,48 equal: Goal Reached
| 4 |
[
75,
7,
58,
70
] | 80 | [
"75-7=68",
"70-58=12",
"68+12=80"
] | Current State: 80:[75, 7, 58, 70], Operations: []
Exploring Operation: 75-7=68, Resulting Numbers: [58, 70, 68]
Generated Node #2: [58, 70, 68] from Operation: 75-7=68
Current State: 80:[58, 70, 68], Operations: ['75-7=68']
Exploring Operation: 70-58=12, Resulting Numbers: [68, 12]
Generated Node #3: [68, 12] from Operation: 70-58=12
Current State: 80:[68, 12], Operations: ['75-7=68', '70-58=12']
Exploring Operation: 68+12=80, Resulting Numbers: [80]
80,80 equal: Goal Reached
| 4 |
[
34,
43,
24,
39
] | 28 | [
"43-39=4",
"24/4=6",
"34-6=28"
] | Current State: 28:[34, 43, 24, 39], Operations: []
Exploring Operation: 43-39=4, Resulting Numbers: [34, 24, 4]
Generated Node #2: [34, 24, 4] from Operation: 43-39=4
Current State: 28:[34, 24, 4], Operations: ['43-39=4']
Exploring Operation: 24/4=6, Resulting Numbers: [34, 6]
Generated Node #3: [34, 6] from Operation: 24/4=6
Current State: 28:[34, 6], Operations: ['43-39=4', '24/4=6']
Exploring Operation: 34-6=28, Resulting Numbers: [28]
28,28 equal: Goal Reached
| 4 |
[
59,
36,
41,
44
] | 69 | [
"59-36=23",
"44-41=3",
"23*3=69"
] | Current State: 69:[59, 36, 41, 44], Operations: []
Exploring Operation: 59-36=23, Resulting Numbers: [41, 44, 23]
Generated Node #2: [41, 44, 23] from Operation: 59-36=23
Current State: 69:[41, 44, 23], Operations: ['59-36=23']
Exploring Operation: 44-41=3, Resulting Numbers: [23, 3]
Generated Node #3: [23, 3] from Operation: 44-41=3
Current State: 69:[23, 3], Operations: ['59-36=23', '44-41=3']
Exploring Operation: 23*3=69, Resulting Numbers: [69]
69,69 equal: Goal Reached
| 4 |
[
87,
64,
9,
23
] | 89 | [
"9+23=32",
"64/32=2",
"87+2=89"
] | Current State: 89:[87, 64, 9, 23], Operations: []
Exploring Operation: 9+23=32, Resulting Numbers: [87, 64, 32]
Generated Node #2: [87, 64, 32] from Operation: 9+23=32
Current State: 89:[87, 64, 32], Operations: ['9+23=32']
Exploring Operation: 64/32=2, Resulting Numbers: [87, 2]
Generated Node #3: [87, 2] from Operation: 64/32=2
Current State: 89:[87, 2], Operations: ['9+23=32', '64/32=2']
Exploring Operation: 87+2=89, Resulting Numbers: [89]
89,89 equal: Goal Reached
| 4 |
[
29,
32,
43,
55
] | 95 | [
"32-29=3",
"43+55=98",
"98-3=95"
] | Current State: 95:[29, 32, 43, 55], Operations: []
Exploring Operation: 32-29=3, Resulting Numbers: [43, 55, 3]
Generated Node #2: [43, 55, 3] from Operation: 32-29=3
Current State: 95:[43, 55, 3], Operations: ['32-29=3']
Exploring Operation: 43+55=98, Resulting Numbers: [3, 98]
Generated Node #3: [3, 98] from Operation: 43+55=98
Current State: 95:[3, 98], Operations: ['32-29=3', '43+55=98']
Exploring Operation: 98-3=95, Resulting Numbers: [95]
95,95 equal: Goal Reached
| 4 |
[
27,
4,
64,
7
] | 69 | [
"27-7=20",
"20/4=5",
"64+5=69"
] | Current State: 69:[27, 4, 64, 7], Operations: []
Exploring Operation: 27-7=20, Resulting Numbers: [4, 64, 20]
Generated Node #2: [4, 64, 20] from Operation: 27-7=20
Current State: 69:[4, 64, 20], Operations: ['27-7=20']
Exploring Operation: 20/4=5, Resulting Numbers: [64, 5]
Generated Node #3: [64, 5] from Operation: 20/4=5
Current State: 69:[64, 5], Operations: ['27-7=20', '20/4=5']
Exploring Operation: 64+5=69, Resulting Numbers: [69]
69,69 equal: Goal Reached
| 4 |
[
46,
65,
20,
1
] | 92 | [
"46+65=111",
"20-1=19",
"111-19=92"
] | Current State: 92:[46, 65, 20, 1], Operations: []
Exploring Operation: 46+65=111, Resulting Numbers: [20, 1, 111]
Generated Node #2: [20, 1, 111] from Operation: 46+65=111
Current State: 92:[20, 1, 111], Operations: ['46+65=111']
Exploring Operation: 20-1=19, Resulting Numbers: [111, 19]
Generated Node #3: [111, 19] from Operation: 20-1=19
Current State: 92:[111, 19], Operations: ['46+65=111', '20-1=19']
Exploring Operation: 111-19=92, Resulting Numbers: [92]
92,92 equal: Goal Reached
| 4 |
[
71,
27,
85,
57
] | 16 | [
"71-27=44",
"85-57=28",
"44-28=16"
] | Current State: 16:[71, 27, 85, 57], Operations: []
Exploring Operation: 71-27=44, Resulting Numbers: [85, 57, 44]
Generated Node #2: [85, 57, 44] from Operation: 71-27=44
Current State: 16:[85, 57, 44], Operations: ['71-27=44']
Exploring Operation: 85-57=28, Resulting Numbers: [44, 28]
Generated Node #3: [44, 28] from Operation: 85-57=28
Current State: 16:[44, 28], Operations: ['71-27=44', '85-57=28']
Exploring Operation: 44-28=16, Resulting Numbers: [16]
16,16 equal: Goal Reached
| 4 |
[
73,
64,
25,
61
] | 95 | [
"73-64=9",
"25+61=86",
"9+86=95"
] | Current State: 95:[73, 64, 25, 61], Operations: []
Exploring Operation: 73-64=9, Resulting Numbers: [25, 61, 9]
Generated Node #2: [25, 61, 9] from Operation: 73-64=9
Current State: 95:[25, 61, 9], Operations: ['73-64=9']
Exploring Operation: 25+61=86, Resulting Numbers: [9, 86]
Generated Node #3: [9, 86] from Operation: 25+61=86
Current State: 95:[9, 86], Operations: ['73-64=9', '25+61=86']
Exploring Operation: 9+86=95, Resulting Numbers: [95]
95,95 equal: Goal Reached
| 4 |
[
29,
84,
78,
55
] | 87 | [
"55-29=26",
"78/26=3",
"84+3=87"
] | Current State: 87:[29, 84, 78, 55], Operations: []
Exploring Operation: 55-29=26, Resulting Numbers: [84, 78, 26]
Generated Node #2: [84, 78, 26] from Operation: 55-29=26
Current State: 87:[84, 78, 26], Operations: ['55-29=26']
Exploring Operation: 78/26=3, Resulting Numbers: [84, 3]
Generated Node #3: [84, 3] from Operation: 78/26=3
Current State: 87:[84, 3], Operations: ['55-29=26', '78/26=3']
Exploring Operation: 84+3=87, Resulting Numbers: [87]
87,87 equal: Goal Reached
| 4 |
[
78,
46,
6,
57
] | 80 | [
"78-57=21",
"6*21=126",
"126-46=80"
] | Current State: 80:[78, 46, 6, 57], Operations: []
Exploring Operation: 78-57=21, Resulting Numbers: [46, 6, 21]
Generated Node #2: [46, 6, 21] from Operation: 78-57=21
Current State: 80:[46, 6, 21], Operations: ['78-57=21']
Exploring Operation: 6*21=126, Resulting Numbers: [46, 126]
Generated Node #3: [46, 126] from Operation: 6*21=126
Current State: 80:[46, 126], Operations: ['78-57=21', '6*21=126']
Exploring Operation: 126-46=80, Resulting Numbers: [80]
80,80 equal: Goal Reached
| 4 |
[
46,
2,
39,
58
] | 54 | [
"46+39=85",
"85-58=27",
"2*27=54"
] | Current State: 54:[46, 2, 39, 58], Operations: []
Exploring Operation: 46+39=85, Resulting Numbers: [2, 58, 85]
Generated Node #2: [2, 58, 85] from Operation: 46+39=85
Current State: 54:[2, 58, 85], Operations: ['46+39=85']
Exploring Operation: 85-58=27, Resulting Numbers: [2, 27]
Generated Node #3: [2, 27] from Operation: 85-58=27
Current State: 54:[2, 27], Operations: ['46+39=85', '85-58=27']
Exploring Operation: 2*27=54, Resulting Numbers: [54]
54,54 equal: Goal Reached
| 4 |
[
14,
28,
94,
32
] | 78 | [
"28/14=2",
"32/2=16",
"94-16=78"
] | Current State: 78:[14, 28, 94, 32], Operations: []
Exploring Operation: 28/14=2, Resulting Numbers: [94, 32, 2]
Generated Node #2: [94, 32, 2] from Operation: 28/14=2
Current State: 78:[94, 32, 2], Operations: ['28/14=2']
Exploring Operation: 32/2=16, Resulting Numbers: [94, 16]
Generated Node #3: [94, 16] from Operation: 32/2=16
Current State: 78:[94, 16], Operations: ['28/14=2', '32/2=16']
Exploring Operation: 94-16=78, Resulting Numbers: [78]
78,78 equal: Goal Reached
| 4 |
[
21,
3,
42,
69
] | 74 | [
"42/21=2",
"3+69=72",
"2+72=74"
] | Current State: 74:[21, 3, 42, 69], Operations: []
Exploring Operation: 42/21=2, Resulting Numbers: [3, 69, 2]
Generated Node #2: [3, 69, 2] from Operation: 42/21=2
Current State: 74:[3, 69, 2], Operations: ['42/21=2']
Exploring Operation: 3+69=72, Resulting Numbers: [2, 72]
Generated Node #3: [2, 72] from Operation: 3+69=72
Current State: 74:[2, 72], Operations: ['42/21=2', '3+69=72']
Exploring Operation: 2+72=74, Resulting Numbers: [74]
74,74 equal: Goal Reached
| 4 |
[
26,
10,
26,
89
] | 100 | [
"26/26=1",
"10+89=99",
"1+99=100"
] | Current State: 100:[26, 10, 26, 89], Operations: []
Exploring Operation: 26/26=1, Resulting Numbers: [10, 89, 1]
Generated Node #2: [10, 89, 1] from Operation: 26/26=1
Current State: 100:[10, 89, 1], Operations: ['26/26=1']
Exploring Operation: 10+89=99, Resulting Numbers: [1, 99]
Generated Node #3: [1, 99] from Operation: 10+89=99
Current State: 100:[1, 99], Operations: ['26/26=1', '10+89=99']
Exploring Operation: 1+99=100, Resulting Numbers: [100]
100,100 equal: Goal Reached
| 4 |
[
6,
64,
91,
16
] | 69 | [
"6*16=96",
"91-64=27",
"96-27=69"
] | Current State: 69:[6, 64, 91, 16], Operations: []
Exploring Operation: 6*16=96, Resulting Numbers: [64, 91, 96]
Generated Node #2: [64, 91, 96] from Operation: 6*16=96
Current State: 69:[64, 91, 96], Operations: ['6*16=96']
Exploring Operation: 91-64=27, Resulting Numbers: [96, 27]
Generated Node #3: [96, 27] from Operation: 91-64=27
Current State: 69:[96, 27], Operations: ['6*16=96', '91-64=27']
Exploring Operation: 96-27=69, Resulting Numbers: [69]
69,69 equal: Goal Reached
| 4 |
[
28,
18,
28,
56
] | 18 | [
"28+18=46",
"56-28=28",
"46-28=18"
] | Current State: 18:[28, 18, 28, 56], Operations: []
Exploring Operation: 28+18=46, Resulting Numbers: [56, 46]
Generated Node #2: [56, 46] from Operation: 28+18=46
Current State: 18:[56, 46], Operations: ['28+18=46']
Exploring Operation: 56-28=28, Resulting Numbers: [46, 28]
Generated Node #3: [46, 28] from Operation: 56-28=28
Current State: 18:[46, 28], Operations: ['28+18=46', '56-28=28']
Exploring Operation: 46-28=18, Resulting Numbers: [18]
18,18 equal: Goal Reached
| 4 |
[
36,
99,
81,
62
] | 67 | [
"99+81=180",
"180/36=5",
"62+5=67"
] | Current State: 67:[36, 99, 81, 62], Operations: []
Exploring Operation: 99+81=180, Resulting Numbers: [36, 62, 180]
Generated Node #2: [36, 62, 180] from Operation: 99+81=180
Current State: 67:[36, 62, 180], Operations: ['99+81=180']
Exploring Operation: 180/36=5, Resulting Numbers: [62, 5]
Generated Node #3: [62, 5] from Operation: 180/36=5
Current State: 67:[62, 5], Operations: ['99+81=180', '180/36=5']
Exploring Operation: 62+5=67, Resulting Numbers: [67]
67,67 equal: Goal Reached
| 4 |
[
11,
21,
67,
86
] | 51 | [
"11+21=32",
"86-67=19",
"32+19=51"
] | Current State: 51:[11, 21, 67, 86], Operations: []
Exploring Operation: 11+21=32, Resulting Numbers: [67, 86, 32]
Generated Node #2: [67, 86, 32] from Operation: 11+21=32
Current State: 51:[67, 86, 32], Operations: ['11+21=32']
Exploring Operation: 86-67=19, Resulting Numbers: [32, 19]
Generated Node #3: [32, 19] from Operation: 86-67=19
Current State: 51:[32, 19], Operations: ['11+21=32', '86-67=19']
Exploring Operation: 32+19=51, Resulting Numbers: [51]
51,51 equal: Goal Reached
| 4 |
[
96,
72,
14,
93
] | 83 | [
"96-72=24",
"14+93=107",
"107-24=83"
] | Current State: 83:[96, 72, 14, 93], Operations: []
Exploring Operation: 96-72=24, Resulting Numbers: [14, 93, 24]
Generated Node #2: [14, 93, 24] from Operation: 96-72=24
Current State: 83:[14, 93, 24], Operations: ['96-72=24']
Exploring Operation: 14+93=107, Resulting Numbers: [24, 107]
Generated Node #3: [24, 107] from Operation: 14+93=107
Current State: 83:[24, 107], Operations: ['96-72=24', '14+93=107']
Exploring Operation: 107-24=83, Resulting Numbers: [83]
83,83 equal: Goal Reached
| 4 |
[
11,
22,
25,
60
] | 52 | [
"11+22=33",
"25+60=85",
"85-33=52"
] | Current State: 52:[11, 22, 25, 60], Operations: []
Exploring Operation: 11+22=33, Resulting Numbers: [25, 60, 33]
Generated Node #2: [25, 60, 33] from Operation: 11+22=33
Current State: 52:[25, 60, 33], Operations: ['11+22=33']
Exploring Operation: 25+60=85, Resulting Numbers: [33, 85]
Generated Node #3: [33, 85] from Operation: 25+60=85
Current State: 52:[33, 85], Operations: ['11+22=33', '25+60=85']
Exploring Operation: 85-33=52, Resulting Numbers: [52]
52,52 equal: Goal Reached
| 4 |
[
58,
3,
34,
8
] | 44 | [
"34+8=42",
"42/3=14",
"58-14=44"
] | Current State: 44:[58, 3, 34, 8], Operations: []
Exploring Operation: 34+8=42, Resulting Numbers: [58, 3, 42]
Generated Node #2: [58, 3, 42] from Operation: 34+8=42
Current State: 44:[58, 3, 42], Operations: ['34+8=42']
Exploring Operation: 42/3=14, Resulting Numbers: [58, 14]
Generated Node #3: [58, 14] from Operation: 42/3=14
Current State: 44:[58, 14], Operations: ['34+8=42', '42/3=14']
Exploring Operation: 58-14=44, Resulting Numbers: [44]
44,44 equal: Goal Reached
| 4 |
[
50,
30,
43,
12
] | 49 | [
"50+30=80",
"43-12=31",
"80-31=49"
] | Current State: 49:[50, 30, 43, 12], Operations: []
Exploring Operation: 50+30=80, Resulting Numbers: [43, 12, 80]
Generated Node #2: [43, 12, 80] from Operation: 50+30=80
Current State: 49:[43, 12, 80], Operations: ['50+30=80']
Exploring Operation: 43-12=31, Resulting Numbers: [80, 31]
Generated Node #3: [80, 31] from Operation: 43-12=31
Current State: 49:[80, 31], Operations: ['50+30=80', '43-12=31']
Exploring Operation: 80-31=49, Resulting Numbers: [49]
49,49 equal: Goal Reached
| 4 |
[
11,
23,
60,
92
] | 53 | [
"60-11=49",
"92/23=4",
"49+4=53"
] | Current State: 53:[11, 23, 60, 92], Operations: []
Exploring Operation: 60-11=49, Resulting Numbers: [23, 92, 49]
Generated Node #2: [23, 92, 49] from Operation: 60-11=49
Current State: 53:[23, 92, 49], Operations: ['60-11=49']
Exploring Operation: 92/23=4, Resulting Numbers: [49, 4]
Generated Node #3: [49, 4] from Operation: 92/23=4
Current State: 53:[49, 4], Operations: ['60-11=49', '92/23=4']
Exploring Operation: 49+4=53, Resulting Numbers: [53]
53,53 equal: Goal Reached
| 4 |
[
77,
79,
2,
31
] | 25 | [
"77+31=108",
"108/2=54",
"79-54=25"
] | Current State: 25:[77, 79, 2, 31], Operations: []
Exploring Operation: 77+31=108, Resulting Numbers: [79, 2, 108]
Generated Node #2: [79, 2, 108] from Operation: 77+31=108
Current State: 25:[79, 2, 108], Operations: ['77+31=108']
Exploring Operation: 108/2=54, Resulting Numbers: [79, 54]
Generated Node #3: [79, 54] from Operation: 108/2=54
Current State: 25:[79, 54], Operations: ['77+31=108', '108/2=54']
Exploring Operation: 79-54=25, Resulting Numbers: [25]
25,25 equal: Goal Reached
| 4 |
[
15,
30,
17,
14
] | 29 | [
"30/15=2",
"17+14=31",
"31-2=29"
] | Current State: 29:[15, 30, 17, 14], Operations: []
Exploring Operation: 30/15=2, Resulting Numbers: [17, 14, 2]
Generated Node #2: [17, 14, 2] from Operation: 30/15=2
Current State: 29:[17, 14, 2], Operations: ['30/15=2']
Exploring Operation: 17+14=31, Resulting Numbers: [2, 31]
Generated Node #3: [2, 31] from Operation: 17+14=31
Current State: 29:[2, 31], Operations: ['30/15=2', '17+14=31']
Exploring Operation: 31-2=29, Resulting Numbers: [29]
29,29 equal: Goal Reached
| 4 |
[
55,
72,
17,
12
] | 77 | [
"55+72=127",
"17*12=204",
"204-127=77"
] | Current State: 77:[55, 72, 17, 12], Operations: []
Exploring Operation: 55+72=127, Resulting Numbers: [17, 12, 127]
Generated Node #2: [17, 12, 127] from Operation: 55+72=127
Current State: 77:[17, 12, 127], Operations: ['55+72=127']
Exploring Operation: 17*12=204, Resulting Numbers: [127, 204]
Generated Node #3: [127, 204] from Operation: 17*12=204
Current State: 77:[127, 204], Operations: ['55+72=127', '17*12=204']
Exploring Operation: 204-127=77, Resulting Numbers: [77]
77,77 equal: Goal Reached
| 4 |
[
21,
4,
91,
4
] | 71 | [
"91-21=70",
"4/4=1",
"70+1=71"
] | Current State: 71:[21, 4, 91, 4], Operations: []
Exploring Operation: 91-21=70, Resulting Numbers: [4, 4, 70]
Generated Node #2: [4, 4, 70] from Operation: 91-21=70
Current State: 71:[4, 4, 70], Operations: ['91-21=70']
Exploring Operation: 4/4=1, Resulting Numbers: [70, 1]
Generated Node #3: [70, 1] from Operation: 4/4=1
Current State: 71:[70, 1], Operations: ['91-21=70', '4/4=1']
Exploring Operation: 70+1=71, Resulting Numbers: [71]
71,71 equal: Goal Reached
| 4 |
[
18,
60,
7,
48
] | 20 | [
"18+7=25",
"48*25=1200",
"1200/60=20"
] | Current State: 20:[18, 60, 7, 48], Operations: []
Exploring Operation: 18+7=25, Resulting Numbers: [60, 48, 25]
Generated Node #2: [60, 48, 25] from Operation: 18+7=25
Current State: 20:[60, 48, 25], Operations: ['18+7=25']
Exploring Operation: 48*25=1200, Resulting Numbers: [60, 1200]
Generated Node #3: [60, 1200] from Operation: 48*25=1200
Current State: 20:[60, 1200], Operations: ['18+7=25', '48*25=1200']
Exploring Operation: 1200/60=20, Resulting Numbers: [20]
20,20 equal: Goal Reached
| 4 |
[
6,
78,
57,
54
] | 53 | [
"78-54=24",
"24/6=4",
"57-4=53"
] | Current State: 53:[6, 78, 57, 54], Operations: []
Exploring Operation: 78-54=24, Resulting Numbers: [6, 57, 24]
Generated Node #2: [6, 57, 24] from Operation: 78-54=24
Current State: 53:[6, 57, 24], Operations: ['78-54=24']
Exploring Operation: 24/6=4, Resulting Numbers: [57, 4]
Generated Node #3: [57, 4] from Operation: 24/6=4
Current State: 53:[57, 4], Operations: ['78-54=24', '24/6=4']
Exploring Operation: 57-4=53, Resulting Numbers: [53]
53,53 equal: Goal Reached
| 4 |
[
74,
76,
87,
3
] | 79 | [
"74+76=150",
"87+150=237",
"237/3=79"
] | Current State: 79:[74, 76, 87, 3], Operations: []
Exploring Operation: 74+76=150, Resulting Numbers: [87, 3, 150]
Generated Node #2: [87, 3, 150] from Operation: 74+76=150
Current State: 79:[87, 3, 150], Operations: ['74+76=150']
Exploring Operation: 87+150=237, Resulting Numbers: [3, 237]
Generated Node #3: [3, 237] from Operation: 87+150=237
Current State: 79:[3, 237], Operations: ['74+76=150', '87+150=237']
Exploring Operation: 237/3=79, Resulting Numbers: [79]
79,79 equal: Goal Reached
| 4 |
[
21,
6,
18,
28
] | 56 | [
"21-18=3",
"6*28=168",
"168/3=56"
] | Current State: 56:[21, 6, 18, 28], Operations: []
Exploring Operation: 21-18=3, Resulting Numbers: [6, 28, 3]
Generated Node #2: [6, 28, 3] from Operation: 21-18=3
Current State: 56:[6, 28, 3], Operations: ['21-18=3']
Exploring Operation: 6*28=168, Resulting Numbers: [3, 168]
Generated Node #3: [3, 168] from Operation: 6*28=168
Current State: 56:[3, 168], Operations: ['21-18=3', '6*28=168']
Exploring Operation: 168/3=56, Resulting Numbers: [56]
56,56 equal: Goal Reached
| 4 |
[
40,
44,
47,
53
] | 25 | [
"44-40=4",
"47+53=100",
"100/4=25"
] | Current State: 25:[40, 44, 47, 53], Operations: []
Exploring Operation: 44-40=4, Resulting Numbers: [47, 53, 4]
Generated Node #2: [47, 53, 4] from Operation: 44-40=4
Current State: 25:[47, 53, 4], Operations: ['44-40=4']
Exploring Operation: 47+53=100, Resulting Numbers: [4, 100]
Generated Node #3: [4, 100] from Operation: 47+53=100
Current State: 25:[4, 100], Operations: ['44-40=4', '47+53=100']
Exploring Operation: 100/4=25, Resulting Numbers: [25]
25,25 equal: Goal Reached
| 4 |
[
35,
32,
66,
15
] | 17 | [
"35-32=3",
"66-15=51",
"51/3=17"
] | Current State: 17:[35, 32, 66, 15], Operations: []
Exploring Operation: 35-32=3, Resulting Numbers: [66, 15, 3]
Generated Node #2: [66, 15, 3] from Operation: 35-32=3
Current State: 17:[66, 15, 3], Operations: ['35-32=3']
Exploring Operation: 66-15=51, Resulting Numbers: [3, 51]
Generated Node #3: [3, 51] from Operation: 66-15=51
Current State: 17:[3, 51], Operations: ['35-32=3', '66-15=51']
Exploring Operation: 51/3=17, Resulting Numbers: [17]
17,17 equal: Goal Reached
| 4 |
[
8,
16,
48,
57
] | 56 | [
"16+48=64",
"64-57=7",
"8*7=56"
] | Current State: 56:[8, 16, 48, 57], Operations: []
Exploring Operation: 16+48=64, Resulting Numbers: [8, 57, 64]
Generated Node #2: [8, 57, 64] from Operation: 16+48=64
Current State: 56:[8, 57, 64], Operations: ['16+48=64']
Exploring Operation: 64-57=7, Resulting Numbers: [8, 7]
Generated Node #3: [8, 7] from Operation: 64-57=7
Current State: 56:[8, 7], Operations: ['16+48=64', '64-57=7']
Exploring Operation: 8*7=56, Resulting Numbers: [56]
56,56 equal: Goal Reached
| 4 |
[
86,
83,
65,
40
] | 64 | [
"86+83=169",
"65+40=105",
"169-105=64"
] | Current State: 64:[86, 83, 65, 40], Operations: []
Exploring Operation: 86+83=169, Resulting Numbers: [65, 40, 169]
Generated Node #2: [65, 40, 169] from Operation: 86+83=169
Current State: 64:[65, 40, 169], Operations: ['86+83=169']
Exploring Operation: 65+40=105, Resulting Numbers: [169, 105]
Generated Node #3: [169, 105] from Operation: 65+40=105
Current State: 64:[169, 105], Operations: ['86+83=169', '65+40=105']
Exploring Operation: 169-105=64, Resulting Numbers: [64]
64,64 equal: Goal Reached
| 4 |
[
28,
25,
97,
16
] | 49 | [
"28-25=3",
"16*3=48",
"97-48=49"
] | Current State: 49:[28, 25, 97, 16], Operations: []
Exploring Operation: 28-25=3, Resulting Numbers: [97, 16, 3]
Generated Node #2: [97, 16, 3] from Operation: 28-25=3
Current State: 49:[97, 16, 3], Operations: ['28-25=3']
Exploring Operation: 16*3=48, Resulting Numbers: [97, 48]
Generated Node #3: [97, 48] from Operation: 16*3=48
Current State: 49:[97, 48], Operations: ['28-25=3', '16*3=48']
Exploring Operation: 97-48=49, Resulting Numbers: [49]
49,49 equal: Goal Reached
| 4 |
[
55,
64,
52,
49
] | 27 | [
"64-55=9",
"52-49=3",
"9*3=27"
] | Current State: 27:[55, 64, 52, 49], Operations: []
Exploring Operation: 64-55=9, Resulting Numbers: [52, 49, 9]
Generated Node #2: [52, 49, 9] from Operation: 64-55=9
Current State: 27:[52, 49, 9], Operations: ['64-55=9']
Exploring Operation: 52-49=3, Resulting Numbers: [9, 3]
Generated Node #3: [9, 3] from Operation: 52-49=3
Current State: 27:[9, 3], Operations: ['64-55=9', '52-49=3']
Exploring Operation: 9*3=27, Resulting Numbers: [27]
27,27 equal: Goal Reached
| 4 |
[
10,
83,
62,
36
] | 67 | [
"10+83=93",
"62-36=26",
"93-26=67"
] | Current State: 67:[10, 83, 62, 36], Operations: []
Exploring Operation: 10+83=93, Resulting Numbers: [62, 36, 93]
Generated Node #2: [62, 36, 93] from Operation: 10+83=93
Current State: 67:[62, 36, 93], Operations: ['10+83=93']
Exploring Operation: 62-36=26, Resulting Numbers: [93, 26]
Generated Node #3: [93, 26] from Operation: 62-36=26
Current State: 67:[93, 26], Operations: ['10+83=93', '62-36=26']
Exploring Operation: 93-26=67, Resulting Numbers: [67]
67,67 equal: Goal Reached
| 4 |
[
2,
32,
32,
39
] | 27 | [
"2+32=34",
"39-32=7",
"34-7=27"
] | Current State: 27:[2, 32, 32, 39], Operations: []
Exploring Operation: 2+32=34, Resulting Numbers: [39, 34]
Generated Node #2: [39, 34] from Operation: 2+32=34
Current State: 27:[39, 34], Operations: ['2+32=34']
Exploring Operation: 39-32=7, Resulting Numbers: [34, 7]
Generated Node #3: [34, 7] from Operation: 39-32=7
Current State: 27:[34, 7], Operations: ['2+32=34', '39-32=7']
Exploring Operation: 34-7=27, Resulting Numbers: [27]
27,27 equal: Goal Reached
| 4 |
[
99,
45,
16,
35
] | 93 | [
"99+45=144",
"16+35=51",
"144-51=93"
] | Current State: 93:[99, 45, 16, 35], Operations: []
Exploring Operation: 99+45=144, Resulting Numbers: [16, 35, 144]
Generated Node #2: [16, 35, 144] from Operation: 99+45=144
Current State: 93:[16, 35, 144], Operations: ['99+45=144']
Exploring Operation: 16+35=51, Resulting Numbers: [144, 51]
Generated Node #3: [144, 51] from Operation: 16+35=51
Current State: 93:[144, 51], Operations: ['99+45=144', '16+35=51']
Exploring Operation: 144-51=93, Resulting Numbers: [93]
93,93 equal: Goal Reached
| 4 |
[
96,
8,
87,
16
] | 89 | [
"96/16=6",
"8+87=95",
"95-6=89"
] | Current State: 89:[96, 8, 87, 16], Operations: []
Exploring Operation: 96/16=6, Resulting Numbers: [8, 87, 6]
Generated Node #2: [8, 87, 6] from Operation: 96/16=6
Current State: 89:[8, 87, 6], Operations: ['96/16=6']
Exploring Operation: 8+87=95, Resulting Numbers: [6, 95]
Generated Node #3: [6, 95] from Operation: 8+87=95
Current State: 89:[6, 95], Operations: ['96/16=6', '8+87=95']
Exploring Operation: 95-6=89, Resulting Numbers: [89]
89,89 equal: Goal Reached
| 4 |
[
52,
91,
91,
68
] | 52 | [
"91-91=0",
"68*0=0",
"52+0=52"
] | Current State: 52:[52, 91, 91, 68], Operations: []
Exploring Operation: 91-91=0, Resulting Numbers: [52, 68, 0]
Generated Node #2: [52, 68, 0] from Operation: 91-91=0
Current State: 52:[52, 68, 0], Operations: ['91-91=0']
Exploring Operation: 68*0=0, Resulting Numbers: [52, 0]
Generated Node #3: [52, 0] from Operation: 68*0=0
Current State: 52:[52, 0], Operations: ['91-91=0', '68*0=0']
Exploring Operation: 52+0=52, Resulting Numbers: [52]
52,52 equal: Goal Reached
| 4 |
[
94,
78,
2,
68
] | 18 | [
"94+78=172",
"172/2=86",
"86-68=18"
] | Current State: 18:[94, 78, 2, 68], Operations: []
Exploring Operation: 94+78=172, Resulting Numbers: [2, 68, 172]
Generated Node #2: [2, 68, 172] from Operation: 94+78=172
Current State: 18:[2, 68, 172], Operations: ['94+78=172']
Exploring Operation: 172/2=86, Resulting Numbers: [68, 86]
Generated Node #3: [68, 86] from Operation: 172/2=86
Current State: 18:[68, 86], Operations: ['94+78=172', '172/2=86']
Exploring Operation: 86-68=18, Resulting Numbers: [18]
18,18 equal: Goal Reached
| 4 |
[
79,
15,
54,
57
] | 61 | [
"79-15=64",
"57-54=3",
"64-3=61"
] | Current State: 61:[79, 15, 54, 57], Operations: []
Exploring Operation: 79-15=64, Resulting Numbers: [54, 57, 64]
Generated Node #2: [54, 57, 64] from Operation: 79-15=64
Current State: 61:[54, 57, 64], Operations: ['79-15=64']
Exploring Operation: 57-54=3, Resulting Numbers: [64, 3]
Generated Node #3: [64, 3] from Operation: 57-54=3
Current State: 61:[64, 3], Operations: ['79-15=64', '57-54=3']
Exploring Operation: 64-3=61, Resulting Numbers: [61]
61,61 equal: Goal Reached
| 4 |
[
45,
5,
80,
24
] | 53 | [
"45+24=69",
"80/5=16",
"69-16=53"
] | Current State: 53:[45, 5, 80, 24], Operations: []
Exploring Operation: 45+24=69, Resulting Numbers: [5, 80, 69]
Generated Node #2: [5, 80, 69] from Operation: 45+24=69
Current State: 53:[5, 80, 69], Operations: ['45+24=69']
Exploring Operation: 80/5=16, Resulting Numbers: [69, 16]
Generated Node #3: [69, 16] from Operation: 80/5=16
Current State: 53:[69, 16], Operations: ['45+24=69', '80/5=16']
Exploring Operation: 69-16=53, Resulting Numbers: [53]
53,53 equal: Goal Reached
| 4 |
[
25,
59,
19,
3
] | 61 | [
"25-19=6",
"6/3=2",
"59+2=61"
] | Current State: 61:[25, 59, 19, 3], Operations: []
Exploring Operation: 25-19=6, Resulting Numbers: [59, 3, 6]
Generated Node #2: [59, 3, 6] from Operation: 25-19=6
Current State: 61:[59, 3, 6], Operations: ['25-19=6']
Exploring Operation: 6/3=2, Resulting Numbers: [59, 2]
Generated Node #3: [59, 2] from Operation: 6/3=2
Current State: 61:[59, 2], Operations: ['25-19=6', '6/3=2']
Exploring Operation: 59+2=61, Resulting Numbers: [61]
61,61 equal: Goal Reached
| 4 |
[
2,
8,
31,
40
] | 81 | [
"2+8=10",
"31+40=71",
"10+71=81"
] | Current State: 81:[2, 8, 31, 40], Operations: []
Exploring Operation: 2+8=10, Resulting Numbers: [31, 40, 10]
Generated Node #2: [31, 40, 10] from Operation: 2+8=10
Current State: 81:[31, 40, 10], Operations: ['2+8=10']
Exploring Operation: 31+40=71, Resulting Numbers: [10, 71]
Generated Node #3: [10, 71] from Operation: 31+40=71
Current State: 81:[10, 71], Operations: ['2+8=10', '31+40=71']
Exploring Operation: 10+71=81, Resulting Numbers: [81]
81,81 equal: Goal Reached
| 4 |
[
2,
46,
16,
93
] | 33 | [
"46-2=44",
"93-16=77",
"77-44=33"
] | Current State: 33:[2, 46, 16, 93], Operations: []
Exploring Operation: 46-2=44, Resulting Numbers: [16, 93, 44]
Generated Node #2: [16, 93, 44] from Operation: 46-2=44
Current State: 33:[16, 93, 44], Operations: ['46-2=44']
Exploring Operation: 93-16=77, Resulting Numbers: [44, 77]
Generated Node #3: [44, 77] from Operation: 93-16=77
Current State: 33:[44, 77], Operations: ['46-2=44', '93-16=77']
Exploring Operation: 77-44=33, Resulting Numbers: [33]
33,33 equal: Goal Reached
| 4 |
[
4,
10,
24,
59
] | 14 | [
"59-24=35",
"4*35=140",
"140/10=14"
] | Current State: 14:[4, 10, 24, 59], Operations: []
Exploring Operation: 59-24=35, Resulting Numbers: [4, 10, 35]
Generated Node #2: [4, 10, 35] from Operation: 59-24=35
Current State: 14:[4, 10, 35], Operations: ['59-24=35']
Exploring Operation: 4*35=140, Resulting Numbers: [10, 140]
Generated Node #3: [10, 140] from Operation: 4*35=140
Current State: 14:[10, 140], Operations: ['59-24=35', '4*35=140']
Exploring Operation: 140/10=14, Resulting Numbers: [14]
14,14 equal: Goal Reached
| 4 |
[
18,
32,
1,
65
] | 14 | [
"18+32=50",
"65-1=64",
"64-50=14"
] | Current State: 14:[18, 32, 1, 65], Operations: []
Exploring Operation: 18+32=50, Resulting Numbers: [1, 65, 50]
Generated Node #2: [1, 65, 50] from Operation: 18+32=50
Current State: 14:[1, 65, 50], Operations: ['18+32=50']
Exploring Operation: 65-1=64, Resulting Numbers: [50, 64]
Generated Node #3: [50, 64] from Operation: 65-1=64
Current State: 14:[50, 64], Operations: ['18+32=50', '65-1=64']
Exploring Operation: 64-50=14, Resulting Numbers: [14]
14,14 equal: Goal Reached
| 4 |
[
90,
92,
39,
19
] | 56 | [
"92-90=2",
"39+19=58",
"58-2=56"
] | Current State: 56:[90, 92, 39, 19], Operations: []
Exploring Operation: 92-90=2, Resulting Numbers: [39, 19, 2]
Generated Node #2: [39, 19, 2] from Operation: 92-90=2
Current State: 56:[39, 19, 2], Operations: ['92-90=2']
Exploring Operation: 39+19=58, Resulting Numbers: [2, 58]
Generated Node #3: [2, 58] from Operation: 39+19=58
Current State: 56:[2, 58], Operations: ['92-90=2', '39+19=58']
Exploring Operation: 58-2=56, Resulting Numbers: [56]
56,56 equal: Goal Reached
| 4 |
[
60,
14,
87,
1
] | 42 | [
"60-14=46",
"87+1=88",
"88-46=42"
] | Current State: 42:[60, 14, 87, 1], Operations: []
Exploring Operation: 60-14=46, Resulting Numbers: [87, 1, 46]
Generated Node #2: [87, 1, 46] from Operation: 60-14=46
Current State: 42:[87, 1, 46], Operations: ['60-14=46']
Exploring Operation: 87+1=88, Resulting Numbers: [46, 88]
Generated Node #3: [46, 88] from Operation: 87+1=88
Current State: 42:[46, 88], Operations: ['60-14=46', '87+1=88']
Exploring Operation: 88-46=42, Resulting Numbers: [42]
42,42 equal: Goal Reached
| 4 |
[
78,
18,
82,
63
] | 41 | [
"78-18=60",
"82-63=19",
"60-19=41"
] | Current State: 41:[78, 18, 82, 63], Operations: []
Exploring Operation: 78-18=60, Resulting Numbers: [82, 63, 60]
Generated Node #2: [82, 63, 60] from Operation: 78-18=60
Current State: 41:[82, 63, 60], Operations: ['78-18=60']
Exploring Operation: 82-63=19, Resulting Numbers: [60, 19]
Generated Node #3: [60, 19] from Operation: 82-63=19
Current State: 41:[60, 19], Operations: ['78-18=60', '82-63=19']
Exploring Operation: 60-19=41, Resulting Numbers: [41]
41,41 equal: Goal Reached
| 4 |
[
77,
15,
97,
37
] | 81 | [
"97-37=60",
"60/15=4",
"77+4=81"
] | Current State: 81:[77, 15, 97, 37], Operations: []
Exploring Operation: 97-37=60, Resulting Numbers: [77, 15, 60]
Generated Node #2: [77, 15, 60] from Operation: 97-37=60
Current State: 81:[77, 15, 60], Operations: ['97-37=60']
Exploring Operation: 60/15=4, Resulting Numbers: [77, 4]
Generated Node #3: [77, 4] from Operation: 60/15=4
Current State: 81:[77, 4], Operations: ['97-37=60', '60/15=4']
Exploring Operation: 77+4=81, Resulting Numbers: [81]
81,81 equal: Goal Reached
| 4 |
[
2,
7,
11,
65
] | 14 | [
"65-2=63",
"7*11=77",
"77-63=14"
] | Current State: 14:[2, 7, 11, 65], Operations: []
Exploring Operation: 65-2=63, Resulting Numbers: [7, 11, 63]
Generated Node #2: [7, 11, 63] from Operation: 65-2=63
Current State: 14:[7, 11, 63], Operations: ['65-2=63']
Exploring Operation: 7*11=77, Resulting Numbers: [63, 77]
Generated Node #3: [63, 77] from Operation: 7*11=77
Current State: 14:[63, 77], Operations: ['65-2=63', '7*11=77']
Exploring Operation: 77-63=14, Resulting Numbers: [14]
14,14 equal: Goal Reached
| 4 |
[
3,
58,
88,
61
] | 51 | [
"88-58=30",
"30/3=10",
"61-10=51"
] | Current State: 51:[3, 58, 88, 61], Operations: []
Exploring Operation: 88-58=30, Resulting Numbers: [3, 61, 30]
Generated Node #2: [3, 61, 30] from Operation: 88-58=30
Current State: 51:[3, 61, 30], Operations: ['88-58=30']
Exploring Operation: 30/3=10, Resulting Numbers: [61, 10]
Generated Node #3: [61, 10] from Operation: 30/3=10
Current State: 51:[61, 10], Operations: ['88-58=30', '30/3=10']
Exploring Operation: 61-10=51, Resulting Numbers: [51]
51,51 equal: Goal Reached
| 4 |
[
99,
52,
38,
34
] | 51 | [
"99-52=47",
"38-34=4",
"47+4=51"
] | Current State: 51:[99, 52, 38, 34], Operations: []
Exploring Operation: 99-52=47, Resulting Numbers: [38, 34, 47]
Generated Node #2: [38, 34, 47] from Operation: 99-52=47
Current State: 51:[38, 34, 47], Operations: ['99-52=47']
Exploring Operation: 38-34=4, Resulting Numbers: [47, 4]
Generated Node #3: [47, 4] from Operation: 38-34=4
Current State: 51:[47, 4], Operations: ['99-52=47', '38-34=4']
Exploring Operation: 47+4=51, Resulting Numbers: [51]
51,51 equal: Goal Reached
| 4 |
[
90,
65,
8,
24
] | 95 | [
"90*8=720",
"720/24=30",
"65+30=95"
] | Current State: 95:[90, 65, 8, 24], Operations: []
Exploring Operation: 90*8=720, Resulting Numbers: [65, 24, 720]
Generated Node #2: [65, 24, 720] from Operation: 90*8=720
Current State: 95:[65, 24, 720], Operations: ['90*8=720']
Exploring Operation: 720/24=30, Resulting Numbers: [65, 30]
Generated Node #3: [65, 30] from Operation: 720/24=30
Current State: 95:[65, 30], Operations: ['90*8=720', '720/24=30']
Exploring Operation: 65+30=95, Resulting Numbers: [95]
95,95 equal: Goal Reached
| 4 |
[
27,
29,
1,
3
] | 83 | [
"3-1=2",
"27*2=54",
"29+54=83"
] | Current State: 83:[27, 29, 1, 3], Operations: []
Exploring Operation: 3-1=2, Resulting Numbers: [27, 29, 2]
Generated Node #2: [27, 29, 2] from Operation: 3-1=2
Current State: 83:[27, 29, 2], Operations: ['3-1=2']
Exploring Operation: 27*2=54, Resulting Numbers: [29, 54]
Generated Node #3: [29, 54] from Operation: 27*2=54
Current State: 83:[29, 54], Operations: ['3-1=2', '27*2=54']
Exploring Operation: 29+54=83, Resulting Numbers: [83]
83,83 equal: Goal Reached
| 4 |
[
34,
38,
2,
77
] | 24 | [
"77-34=43",
"38/2=19",
"43-19=24"
] | Current State: 24:[34, 38, 2, 77], Operations: []
Exploring Operation: 77-34=43, Resulting Numbers: [38, 2, 43]
Generated Node #2: [38, 2, 43] from Operation: 77-34=43
Current State: 24:[38, 2, 43], Operations: ['77-34=43']
Exploring Operation: 38/2=19, Resulting Numbers: [43, 19]
Generated Node #3: [43, 19] from Operation: 38/2=19
Current State: 24:[43, 19], Operations: ['77-34=43', '38/2=19']
Exploring Operation: 43-19=24, Resulting Numbers: [24]
24,24 equal: Goal Reached
| 4 |
[
39,
36,
63,
3
] | 65 | [
"63-3=60",
"39*60=2340",
"2340/36=65"
] | Current State: 65:[39, 36, 63, 3], Operations: []
Exploring Operation: 63-3=60, Resulting Numbers: [39, 36, 60]
Generated Node #2: [39, 36, 60] from Operation: 63-3=60
Current State: 65:[39, 36, 60], Operations: ['63-3=60']
Exploring Operation: 39*60=2340, Resulting Numbers: [36, 2340]
Generated Node #3: [36, 2340] from Operation: 39*60=2340
Current State: 65:[36, 2340], Operations: ['63-3=60', '39*60=2340']
Exploring Operation: 2340/36=65, Resulting Numbers: [65]
65,65 equal: Goal Reached
| 4 |
[
82,
2,
25,
44
] | 70 | [
"82-25=57",
"2*57=114",
"114-44=70"
] | Current State: 70:[82, 2, 25, 44], Operations: []
Exploring Operation: 82-25=57, Resulting Numbers: [2, 44, 57]
Generated Node #2: [2, 44, 57] from Operation: 82-25=57
Current State: 70:[2, 44, 57], Operations: ['82-25=57']
Exploring Operation: 2*57=114, Resulting Numbers: [44, 114]
Generated Node #3: [44, 114] from Operation: 2*57=114
Current State: 70:[44, 114], Operations: ['82-25=57', '2*57=114']
Exploring Operation: 114-44=70, Resulting Numbers: [70]
70,70 equal: Goal Reached
| 4 |
[
85,
26,
77,
37
] | 55 | [
"85-26=59",
"77+37=114",
"114-59=55"
] | Current State: 55:[85, 26, 77, 37], Operations: []
Exploring Operation: 85-26=59, Resulting Numbers: [77, 37, 59]
Generated Node #2: [77, 37, 59] from Operation: 85-26=59
Current State: 55:[77, 37, 59], Operations: ['85-26=59']
Exploring Operation: 77+37=114, Resulting Numbers: [59, 114]
Generated Node #3: [59, 114] from Operation: 77+37=114
Current State: 55:[59, 114], Operations: ['85-26=59', '77+37=114']
Exploring Operation: 114-59=55, Resulting Numbers: [55]
55,55 equal: Goal Reached
| 4 |
[
23,
25,
2,
89
] | 31 | [
"23+89=112",
"112/2=56",
"56-25=31"
] | Current State: 31:[23, 25, 2, 89], Operations: []
Exploring Operation: 23+89=112, Resulting Numbers: [25, 2, 112]
Generated Node #2: [25, 2, 112] from Operation: 23+89=112
Current State: 31:[25, 2, 112], Operations: ['23+89=112']
Exploring Operation: 112/2=56, Resulting Numbers: [25, 56]
Generated Node #3: [25, 56] from Operation: 112/2=56
Current State: 31:[25, 56], Operations: ['23+89=112', '112/2=56']
Exploring Operation: 56-25=31, Resulting Numbers: [31]
31,31 equal: Goal Reached
| 4 |
[
27,
31,
72,
4
] | 73 | [
"31-27=4",
"4/4=1",
"72+1=73"
] | Current State: 73:[27, 31, 72, 4], Operations: []
Exploring Operation: 31-27=4, Resulting Numbers: [72, 4, 4]
Generated Node #2: [72, 4, 4] from Operation: 31-27=4
Current State: 73:[72, 4, 4], Operations: ['31-27=4']
Exploring Operation: 4/4=1, Resulting Numbers: [72, 1]
Generated Node #3: [72, 1] from Operation: 4/4=1
Current State: 73:[72, 1], Operations: ['31-27=4', '4/4=1']
Exploring Operation: 72+1=73, Resulting Numbers: [73]
73,73 equal: Goal Reached
| 4 |
[
37,
54,
11,
2
] | 43 | [
"11-2=9",
"54/9=6",
"37+6=43"
] | Current State: 43:[37, 54, 11, 2], Operations: []
Exploring Operation: 11-2=9, Resulting Numbers: [37, 54, 9]
Generated Node #2: [37, 54, 9] from Operation: 11-2=9
Current State: 43:[37, 54, 9], Operations: ['11-2=9']
Exploring Operation: 54/9=6, Resulting Numbers: [37, 6]
Generated Node #3: [37, 6] from Operation: 54/9=6
Current State: 43:[37, 6], Operations: ['11-2=9', '54/9=6']
Exploring Operation: 37+6=43, Resulting Numbers: [43]
43,43 equal: Goal Reached
| 4 |
[
3,
84,
12,
78
] | 98 | [
"78/3=26",
"84-12=72",
"26+72=98"
] | Current State: 98:[3, 84, 12, 78], Operations: []
Exploring Operation: 78/3=26, Resulting Numbers: [84, 12, 26]
Generated Node #2: [84, 12, 26] from Operation: 78/3=26
Current State: 98:[84, 12, 26], Operations: ['78/3=26']
Exploring Operation: 84-12=72, Resulting Numbers: [26, 72]
Generated Node #3: [26, 72] from Operation: 84-12=72
Current State: 98:[26, 72], Operations: ['78/3=26', '84-12=72']
Exploring Operation: 26+72=98, Resulting Numbers: [98]
98,98 equal: Goal Reached
| 4 |
[
10,
39,
91,
68
] | 26 | [
"10+39=49",
"91-68=23",
"49-23=26"
] | Current State: 26:[10, 39, 91, 68], Operations: []
Exploring Operation: 10+39=49, Resulting Numbers: [91, 68, 49]
Generated Node #2: [91, 68, 49] from Operation: 10+39=49
Current State: 26:[91, 68, 49], Operations: ['10+39=49']
Exploring Operation: 91-68=23, Resulting Numbers: [49, 23]
Generated Node #3: [49, 23] from Operation: 91-68=23
Current State: 26:[49, 23], Operations: ['10+39=49', '91-68=23']
Exploring Operation: 49-23=26, Resulting Numbers: [26]
26,26 equal: Goal Reached
| 4 |
[
64,
81,
30,
25
] | 12 | [
"81-64=17",
"30-25=5",
"17-5=12"
] | Current State: 12:[64, 81, 30, 25], Operations: []
Exploring Operation: 81-64=17, Resulting Numbers: [30, 25, 17]
Generated Node #2: [30, 25, 17] from Operation: 81-64=17
Current State: 12:[30, 25, 17], Operations: ['81-64=17']
Exploring Operation: 30-25=5, Resulting Numbers: [17, 5]
Generated Node #3: [17, 5] from Operation: 30-25=5
Current State: 12:[17, 5], Operations: ['81-64=17', '30-25=5']
Exploring Operation: 17-5=12, Resulting Numbers: [12]
12,12 equal: Goal Reached
| 4 |
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