nums listlengths 4 4 | target int64 10 100 | solution listlengths 3 3 | optimal_path stringlengths 282 529 | start_size int64 4 4 |
|---|---|---|---|---|
[
2,
31,
65,
25
] | 49 | [
"65-25=40",
"2*40=80",
"80-31=49"
] | Current State: 49:[2, 31, 65, 25], Operations: []
Exploring Operation: 65-25=40, Resulting Numbers: [2, 31, 40]
Generated Node #2: [2, 31, 40] from Operation: 65-25=40
Current State: 49:[2, 31, 40], Operations: ['65-25=40']
Exploring Operation: 2*40=80, Resulting Numbers: [31, 80]
Generated Node #3: [31, 80] from Operation: 2*40=80
Current State: 49:[31, 80], Operations: ['65-25=40', '2*40=80']
Exploring Operation: 80-31=49, Resulting Numbers: [49]
49,49 equal: Goal Reached
| 4 |
[
26,
55,
16,
18
] | 63 | [
"55-26=29",
"16+18=34",
"29+34=63"
] | Current State: 63:[26, 55, 16, 18], Operations: []
Exploring Operation: 55-26=29, Resulting Numbers: [16, 18, 29]
Generated Node #2: [16, 18, 29] from Operation: 55-26=29
Current State: 63:[16, 18, 29], Operations: ['55-26=29']
Exploring Operation: 16+18=34, Resulting Numbers: [29, 34]
Generated Node #3: [29, 34] from Operation: 16+18=34
Current State: 63:[29, 34], Operations: ['55-26=29', '16+18=34']
Exploring Operation: 29+34=63, Resulting Numbers: [63]
63,63 equal: Goal Reached
| 4 |
[
60,
27,
12,
15
] | 96 | [
"60*27=1620",
"1620/15=108",
"108-12=96"
] | Current State: 96:[60, 27, 12, 15], Operations: []
Exploring Operation: 60*27=1620, Resulting Numbers: [12, 15, 1620]
Generated Node #2: [12, 15, 1620] from Operation: 60*27=1620
Current State: 96:[12, 15, 1620], Operations: ['60*27=1620']
Exploring Operation: 1620/15=108, Resulting Numbers: [12, 108]
Generated Node #3: [12, 108] from Operation: 1620/15=108
Current State: 96:[12, 108], Operations: ['60*27=1620', '1620/15=108']
Exploring Operation: 108-12=96, Resulting Numbers: [96]
96,96 equal: Goal Reached
| 4 |
[
20,
48,
22,
70
] | 55 | [
"48-20=28",
"22*70=1540",
"1540/28=55"
] | Current State: 55:[20, 48, 22, 70], Operations: []
Exploring Operation: 48-20=28, Resulting Numbers: [22, 70, 28]
Generated Node #2: [22, 70, 28] from Operation: 48-20=28
Current State: 55:[22, 70, 28], Operations: ['48-20=28']
Exploring Operation: 22*70=1540, Resulting Numbers: [28, 1540]
Generated Node #3: [28, 1540] from Operation: 22*70=1540
Current State: 55:[28, 1540], Operations: ['48-20=28', '22*70=1540']
Exploring Operation: 1540/28=55, Resulting Numbers: [55]
55,55 equal: Goal Reached
| 4 |
[
58,
69,
84,
9
] | 82 | [
"69-58=11",
"84+9=93",
"93-11=82"
] | Current State: 82:[58, 69, 84, 9], Operations: []
Exploring Operation: 69-58=11, Resulting Numbers: [84, 9, 11]
Generated Node #2: [84, 9, 11] from Operation: 69-58=11
Current State: 82:[84, 9, 11], Operations: ['69-58=11']
Exploring Operation: 84+9=93, Resulting Numbers: [11, 93]
Generated Node #3: [11, 93] from Operation: 84+9=93
Current State: 82:[11, 93], Operations: ['69-58=11', '84+9=93']
Exploring Operation: 93-11=82, Resulting Numbers: [82]
82,82 equal: Goal Reached
| 4 |
[
48,
87,
46,
16
] | 75 | [
"48/16=3",
"87/3=29",
"46+29=75"
] | Current State: 75:[48, 87, 46, 16], Operations: []
Exploring Operation: 48/16=3, Resulting Numbers: [87, 46, 3]
Generated Node #2: [87, 46, 3] from Operation: 48/16=3
Current State: 75:[87, 46, 3], Operations: ['48/16=3']
Exploring Operation: 87/3=29, Resulting Numbers: [46, 29]
Generated Node #3: [46, 29] from Operation: 87/3=29
Current State: 75:[46, 29], Operations: ['48/16=3', '87/3=29']
Exploring Operation: 46+29=75, Resulting Numbers: [75]
75,75 equal: Goal Reached
| 4 |
[
91,
49,
94,
43
] | 18 | [
"94-91=3",
"49-43=6",
"3*6=18"
] | Current State: 18:[91, 49, 94, 43], Operations: []
Exploring Operation: 94-91=3, Resulting Numbers: [49, 43, 3]
Generated Node #2: [49, 43, 3] from Operation: 94-91=3
Current State: 18:[49, 43, 3], Operations: ['94-91=3']
Exploring Operation: 49-43=6, Resulting Numbers: [3, 6]
Generated Node #3: [3, 6] from Operation: 49-43=6
Current State: 18:[3, 6], Operations: ['94-91=3', '49-43=6']
Exploring Operation: 3*6=18, Resulting Numbers: [18]
18,18 equal: Goal Reached
| 4 |
[
80,
81,
76,
78
] | 83 | [
"80+76=156",
"156/78=2",
"81+2=83"
] | Current State: 83:[80, 81, 76, 78], Operations: []
Exploring Operation: 80+76=156, Resulting Numbers: [81, 78, 156]
Generated Node #2: [81, 78, 156] from Operation: 80+76=156
Current State: 83:[81, 78, 156], Operations: ['80+76=156']
Exploring Operation: 156/78=2, Resulting Numbers: [81, 2]
Generated Node #3: [81, 2] from Operation: 156/78=2
Current State: 83:[81, 2], Operations: ['80+76=156', '156/78=2']
Exploring Operation: 81+2=83, Resulting Numbers: [83]
83,83 equal: Goal Reached
| 4 |
[
69,
74,
10,
12
] | 50 | [
"74-69=5",
"12*5=60",
"60-10=50"
] | Current State: 50:[69, 74, 10, 12], Operations: []
Exploring Operation: 74-69=5, Resulting Numbers: [10, 12, 5]
Generated Node #2: [10, 12, 5] from Operation: 74-69=5
Current State: 50:[10, 12, 5], Operations: ['74-69=5']
Exploring Operation: 12*5=60, Resulting Numbers: [10, 60]
Generated Node #3: [10, 60] from Operation: 12*5=60
Current State: 50:[10, 60], Operations: ['74-69=5', '12*5=60']
Exploring Operation: 60-10=50, Resulting Numbers: [50]
50,50 equal: Goal Reached
| 4 |
[
26,
74,
20,
23
] | 51 | [
"74-26=48",
"23-20=3",
"48+3=51"
] | Current State: 51:[26, 74, 20, 23], Operations: []
Exploring Operation: 74-26=48, Resulting Numbers: [20, 23, 48]
Generated Node #2: [20, 23, 48] from Operation: 74-26=48
Current State: 51:[20, 23, 48], Operations: ['74-26=48']
Exploring Operation: 23-20=3, Resulting Numbers: [48, 3]
Generated Node #3: [48, 3] from Operation: 23-20=3
Current State: 51:[48, 3], Operations: ['74-26=48', '23-20=3']
Exploring Operation: 48+3=51, Resulting Numbers: [51]
51,51 equal: Goal Reached
| 4 |
[
2,
61,
61,
57
] | 67 | [
"2+61=63",
"61-57=4",
"63+4=67"
] | Current State: 67:[2, 61, 61, 57], Operations: []
Exploring Operation: 2+61=63, Resulting Numbers: [57, 63]
Generated Node #2: [57, 63] from Operation: 2+61=63
Current State: 67:[57, 63], Operations: ['2+61=63']
Exploring Operation: 61-57=4, Resulting Numbers: [63, 4]
Generated Node #3: [63, 4] from Operation: 61-57=4
Current State: 67:[63, 4], Operations: ['2+61=63', '61-57=4']
Exploring Operation: 63+4=67, Resulting Numbers: [67]
67,67 equal: Goal Reached
| 4 |
[
66,
1,
13,
7
] | 33 | [
"66*7=462",
"1+13=14",
"462/14=33"
] | Current State: 33:[66, 1, 13, 7], Operations: []
Exploring Operation: 66*7=462, Resulting Numbers: [1, 13, 462]
Generated Node #2: [1, 13, 462] from Operation: 66*7=462
Current State: 33:[1, 13, 462], Operations: ['66*7=462']
Exploring Operation: 1+13=14, Resulting Numbers: [462, 14]
Generated Node #3: [462, 14] from Operation: 1+13=14
Current State: 33:[462, 14], Operations: ['66*7=462', '1+13=14']
Exploring Operation: 462/14=33, Resulting Numbers: [33]
33,33 equal: Goal Reached
| 4 |
[
79,
4,
43,
47
] | 95 | [
"47-43=4",
"4*4=16",
"79+16=95"
] | Current State: 95:[79, 4, 43, 47], Operations: []
Exploring Operation: 47-43=4, Resulting Numbers: [79, 4, 4]
Generated Node #2: [79, 4, 4] from Operation: 47-43=4
Current State: 95:[79, 4, 4], Operations: ['47-43=4']
Exploring Operation: 4*4=16, Resulting Numbers: [79, 16]
Generated Node #3: [79, 16] from Operation: 4*4=16
Current State: 95:[79, 16], Operations: ['47-43=4', '4*4=16']
Exploring Operation: 79+16=95, Resulting Numbers: [95]
95,95 equal: Goal Reached
| 4 |
[
37,
28,
3,
10
] | 24 | [
"37+3=40",
"40/10=4",
"28-4=24"
] | Current State: 24:[37, 28, 3, 10], Operations: []
Exploring Operation: 37+3=40, Resulting Numbers: [28, 10, 40]
Generated Node #2: [28, 10, 40] from Operation: 37+3=40
Current State: 24:[28, 10, 40], Operations: ['37+3=40']
Exploring Operation: 40/10=4, Resulting Numbers: [28, 4]
Generated Node #3: [28, 4] from Operation: 40/10=4
Current State: 24:[28, 4], Operations: ['37+3=40', '40/10=4']
Exploring Operation: 28-4=24, Resulting Numbers: [24]
24,24 equal: Goal Reached
| 4 |
[
3,
47,
58,
7
] | 64 | [
"58-7=51",
"51/3=17",
"47+17=64"
] | Current State: 64:[3, 47, 58, 7], Operations: []
Exploring Operation: 58-7=51, Resulting Numbers: [3, 47, 51]
Generated Node #2: [3, 47, 51] from Operation: 58-7=51
Current State: 64:[3, 47, 51], Operations: ['58-7=51']
Exploring Operation: 51/3=17, Resulting Numbers: [47, 17]
Generated Node #3: [47, 17] from Operation: 51/3=17
Current State: 64:[47, 17], Operations: ['58-7=51', '51/3=17']
Exploring Operation: 47+17=64, Resulting Numbers: [64]
64,64 equal: Goal Reached
| 4 |
[
33,
15,
91,
13
] | 86 | [
"33-15=18",
"91+13=104",
"104-18=86"
] | Current State: 86:[33, 15, 91, 13], Operations: []
Exploring Operation: 33-15=18, Resulting Numbers: [91, 13, 18]
Generated Node #2: [91, 13, 18] from Operation: 33-15=18
Current State: 86:[91, 13, 18], Operations: ['33-15=18']
Exploring Operation: 91+13=104, Resulting Numbers: [18, 104]
Generated Node #3: [18, 104] from Operation: 91+13=104
Current State: 86:[18, 104], Operations: ['33-15=18', '91+13=104']
Exploring Operation: 104-18=86, Resulting Numbers: [86]
86,86 equal: Goal Reached
| 4 |
[
92,
93,
93,
63
] | 30 | [
"93-92=1",
"93-63=30",
"1*30=30"
] | Current State: 30:[92, 93, 93, 63], Operations: []
Exploring Operation: 93-92=1, Resulting Numbers: [63, 1]
Generated Node #2: [63, 1] from Operation: 93-92=1
Current State: 30:[63, 1], Operations: ['93-92=1']
Exploring Operation: 93-63=30, Resulting Numbers: [1, 30]
Generated Node #3: [1, 30] from Operation: 93-63=30
Current State: 30:[1, 30], Operations: ['93-92=1', '93-63=30']
Exploring Operation: 1*30=30, Resulting Numbers: [30]
30,30 equal: Goal Reached
| 4 |
[
80,
36,
87,
32
] | 67 | [
"36-32=4",
"80/4=20",
"87-20=67"
] | Current State: 67:[80, 36, 87, 32], Operations: []
Exploring Operation: 36-32=4, Resulting Numbers: [80, 87, 4]
Generated Node #2: [80, 87, 4] from Operation: 36-32=4
Current State: 67:[80, 87, 4], Operations: ['36-32=4']
Exploring Operation: 80/4=20, Resulting Numbers: [87, 20]
Generated Node #3: [87, 20] from Operation: 80/4=20
Current State: 67:[87, 20], Operations: ['36-32=4', '80/4=20']
Exploring Operation: 87-20=67, Resulting Numbers: [67]
67,67 equal: Goal Reached
| 4 |
[
84,
22,
69,
90
] | 18 | [
"90-69=21",
"84/21=4",
"22-4=18"
] | Current State: 18:[84, 22, 69, 90], Operations: []
Exploring Operation: 90-69=21, Resulting Numbers: [84, 22, 21]
Generated Node #2: [84, 22, 21] from Operation: 90-69=21
Current State: 18:[84, 22, 21], Operations: ['90-69=21']
Exploring Operation: 84/21=4, Resulting Numbers: [22, 4]
Generated Node #3: [22, 4] from Operation: 84/21=4
Current State: 18:[22, 4], Operations: ['90-69=21', '84/21=4']
Exploring Operation: 22-4=18, Resulting Numbers: [18]
18,18 equal: Goal Reached
| 4 |
[
29,
51,
2,
15
] | 59 | [
"51-29=22",
"2*22=44",
"15+44=59"
] | Current State: 59:[29, 51, 2, 15], Operations: []
Exploring Operation: 51-29=22, Resulting Numbers: [2, 15, 22]
Generated Node #2: [2, 15, 22] from Operation: 51-29=22
Current State: 59:[2, 15, 22], Operations: ['51-29=22']
Exploring Operation: 2*22=44, Resulting Numbers: [15, 44]
Generated Node #3: [15, 44] from Operation: 2*22=44
Current State: 59:[15, 44], Operations: ['51-29=22', '2*22=44']
Exploring Operation: 15+44=59, Resulting Numbers: [59]
59,59 equal: Goal Reached
| 4 |
[
3,
50,
69,
26
] | 99 | [
"69/3=23",
"50+26=76",
"23+76=99"
] | Current State: 99:[3, 50, 69, 26], Operations: []
Exploring Operation: 69/3=23, Resulting Numbers: [50, 26, 23]
Generated Node #2: [50, 26, 23] from Operation: 69/3=23
Current State: 99:[50, 26, 23], Operations: ['69/3=23']
Exploring Operation: 50+26=76, Resulting Numbers: [23, 76]
Generated Node #3: [23, 76] from Operation: 50+26=76
Current State: 99:[23, 76], Operations: ['69/3=23', '50+26=76']
Exploring Operation: 23+76=99, Resulting Numbers: [99]
99,99 equal: Goal Reached
| 4 |
[
22,
61,
4,
78
] | 71 | [
"22*4=88",
"78-61=17",
"88-17=71"
] | Current State: 71:[22, 61, 4, 78], Operations: []
Exploring Operation: 22*4=88, Resulting Numbers: [61, 78, 88]
Generated Node #2: [61, 78, 88] from Operation: 22*4=88
Current State: 71:[61, 78, 88], Operations: ['22*4=88']
Exploring Operation: 78-61=17, Resulting Numbers: [88, 17]
Generated Node #3: [88, 17] from Operation: 78-61=17
Current State: 71:[88, 17], Operations: ['22*4=88', '78-61=17']
Exploring Operation: 88-17=71, Resulting Numbers: [71]
71,71 equal: Goal Reached
| 4 |
[
47,
52,
40,
60
] | 100 | [
"52-47=5",
"60-40=20",
"5*20=100"
] | Current State: 100:[47, 52, 40, 60], Operations: []
Exploring Operation: 52-47=5, Resulting Numbers: [40, 60, 5]
Generated Node #2: [40, 60, 5] from Operation: 52-47=5
Current State: 100:[40, 60, 5], Operations: ['52-47=5']
Exploring Operation: 60-40=20, Resulting Numbers: [5, 20]
Generated Node #3: [5, 20] from Operation: 60-40=20
Current State: 100:[5, 20], Operations: ['52-47=5', '60-40=20']
Exploring Operation: 5*20=100, Resulting Numbers: [100]
100,100 equal: Goal Reached
| 4 |
[
52,
82,
65,
81
] | 14 | [
"82-52=30",
"81-65=16",
"30-16=14"
] | Current State: 14:[52, 82, 65, 81], Operations: []
Exploring Operation: 82-52=30, Resulting Numbers: [65, 81, 30]
Generated Node #2: [65, 81, 30] from Operation: 82-52=30
Current State: 14:[65, 81, 30], Operations: ['82-52=30']
Exploring Operation: 81-65=16, Resulting Numbers: [30, 16]
Generated Node #3: [30, 16] from Operation: 81-65=16
Current State: 14:[30, 16], Operations: ['82-52=30', '81-65=16']
Exploring Operation: 30-16=14, Resulting Numbers: [14]
14,14 equal: Goal Reached
| 4 |
[
69,
18,
4,
40
] | 97 | [
"69+18=87",
"40/4=10",
"87+10=97"
] | Current State: 97:[69, 18, 4, 40], Operations: []
Exploring Operation: 69+18=87, Resulting Numbers: [4, 40, 87]
Generated Node #2: [4, 40, 87] from Operation: 69+18=87
Current State: 97:[4, 40, 87], Operations: ['69+18=87']
Exploring Operation: 40/4=10, Resulting Numbers: [87, 10]
Generated Node #3: [87, 10] from Operation: 40/4=10
Current State: 97:[87, 10], Operations: ['69+18=87', '40/4=10']
Exploring Operation: 87+10=97, Resulting Numbers: [97]
97,97 equal: Goal Reached
| 4 |
[
91,
68,
37,
7
] | 67 | [
"91-68=23",
"37+7=44",
"23+44=67"
] | Current State: 67:[91, 68, 37, 7], Operations: []
Exploring Operation: 91-68=23, Resulting Numbers: [37, 7, 23]
Generated Node #2: [37, 7, 23] from Operation: 91-68=23
Current State: 67:[37, 7, 23], Operations: ['91-68=23']
Exploring Operation: 37+7=44, Resulting Numbers: [23, 44]
Generated Node #3: [23, 44] from Operation: 37+7=44
Current State: 67:[23, 44], Operations: ['91-68=23', '37+7=44']
Exploring Operation: 23+44=67, Resulting Numbers: [67]
67,67 equal: Goal Reached
| 4 |
[
36,
69,
38,
37
] | 32 | [
"69-36=33",
"38-37=1",
"33-1=32"
] | Current State: 32:[36, 69, 38, 37], Operations: []
Exploring Operation: 69-36=33, Resulting Numbers: [38, 37, 33]
Generated Node #2: [38, 37, 33] from Operation: 69-36=33
Current State: 32:[38, 37, 33], Operations: ['69-36=33']
Exploring Operation: 38-37=1, Resulting Numbers: [33, 1]
Generated Node #3: [33, 1] from Operation: 38-37=1
Current State: 32:[33, 1], Operations: ['69-36=33', '38-37=1']
Exploring Operation: 33-1=32, Resulting Numbers: [32]
32,32 equal: Goal Reached
| 4 |
[
60,
26,
3,
4
] | 90 | [
"60-26=34",
"34-4=30",
"3*30=90"
] | Current State: 90:[60, 26, 3, 4], Operations: []
Exploring Operation: 60-26=34, Resulting Numbers: [3, 4, 34]
Generated Node #2: [3, 4, 34] from Operation: 60-26=34
Current State: 90:[3, 4, 34], Operations: ['60-26=34']
Exploring Operation: 34-4=30, Resulting Numbers: [3, 30]
Generated Node #3: [3, 30] from Operation: 34-4=30
Current State: 90:[3, 30], Operations: ['60-26=34', '34-4=30']
Exploring Operation: 3*30=90, Resulting Numbers: [90]
90,90 equal: Goal Reached
| 4 |
[
56,
5,
15,
38
] | 58 | [
"15/5=3",
"38*3=114",
"114-56=58"
] | Current State: 58:[56, 5, 15, 38], Operations: []
Exploring Operation: 15/5=3, Resulting Numbers: [56, 38, 3]
Generated Node #2: [56, 38, 3] from Operation: 15/5=3
Current State: 58:[56, 38, 3], Operations: ['15/5=3']
Exploring Operation: 38*3=114, Resulting Numbers: [56, 114]
Generated Node #3: [56, 114] from Operation: 38*3=114
Current State: 58:[56, 114], Operations: ['15/5=3', '38*3=114']
Exploring Operation: 114-56=58, Resulting Numbers: [58]
58,58 equal: Goal Reached
| 4 |
[
53,
2,
61,
94
] | 12 | [
"61-53=8",
"2+94=96",
"96/8=12"
] | Current State: 12:[53, 2, 61, 94], Operations: []
Exploring Operation: 61-53=8, Resulting Numbers: [2, 94, 8]
Generated Node #2: [2, 94, 8] from Operation: 61-53=8
Current State: 12:[2, 94, 8], Operations: ['61-53=8']
Exploring Operation: 2+94=96, Resulting Numbers: [8, 96]
Generated Node #3: [8, 96] from Operation: 2+94=96
Current State: 12:[8, 96], Operations: ['61-53=8', '2+94=96']
Exploring Operation: 96/8=12, Resulting Numbers: [12]
12,12 equal: Goal Reached
| 4 |
[
68,
5,
48,
84
] | 69 | [
"68-5=63",
"48+84=132",
"132-63=69"
] | Current State: 69:[68, 5, 48, 84], Operations: []
Exploring Operation: 68-5=63, Resulting Numbers: [48, 84, 63]
Generated Node #2: [48, 84, 63] from Operation: 68-5=63
Current State: 69:[48, 84, 63], Operations: ['68-5=63']
Exploring Operation: 48+84=132, Resulting Numbers: [63, 132]
Generated Node #3: [63, 132] from Operation: 48+84=132
Current State: 69:[63, 132], Operations: ['68-5=63', '48+84=132']
Exploring Operation: 132-63=69, Resulting Numbers: [69]
69,69 equal: Goal Reached
| 4 |
[
37,
16,
11,
39
] | 100 | [
"37+39=76",
"16*11=176",
"176-76=100"
] | Current State: 100:[37, 16, 11, 39], Operations: []
Exploring Operation: 37+39=76, Resulting Numbers: [16, 11, 76]
Generated Node #2: [16, 11, 76] from Operation: 37+39=76
Current State: 100:[16, 11, 76], Operations: ['37+39=76']
Exploring Operation: 16*11=176, Resulting Numbers: [76, 176]
Generated Node #3: [76, 176] from Operation: 16*11=176
Current State: 100:[76, 176], Operations: ['37+39=76', '16*11=176']
Exploring Operation: 176-76=100, Resulting Numbers: [100]
100,100 equal: Goal Reached
| 4 |
[
53,
37,
43,
10
] | 17 | [
"53-37=16",
"43-10=33",
"33-16=17"
] | Current State: 17:[53, 37, 43, 10], Operations: []
Exploring Operation: 53-37=16, Resulting Numbers: [43, 10, 16]
Generated Node #2: [43, 10, 16] from Operation: 53-37=16
Current State: 17:[43, 10, 16], Operations: ['53-37=16']
Exploring Operation: 43-10=33, Resulting Numbers: [16, 33]
Generated Node #3: [16, 33] from Operation: 43-10=33
Current State: 17:[16, 33], Operations: ['53-37=16', '43-10=33']
Exploring Operation: 33-16=17, Resulting Numbers: [17]
17,17 equal: Goal Reached
| 4 |
[
30,
31,
75,
84
] | 70 | [
"30+31=61",
"84-75=9",
"61+9=70"
] | Current State: 70:[30, 31, 75, 84], Operations: []
Exploring Operation: 30+31=61, Resulting Numbers: [75, 84, 61]
Generated Node #2: [75, 84, 61] from Operation: 30+31=61
Current State: 70:[75, 84, 61], Operations: ['30+31=61']
Exploring Operation: 84-75=9, Resulting Numbers: [61, 9]
Generated Node #3: [61, 9] from Operation: 84-75=9
Current State: 70:[61, 9], Operations: ['30+31=61', '84-75=9']
Exploring Operation: 61+9=70, Resulting Numbers: [70]
70,70 equal: Goal Reached
| 4 |
[
72,
6,
32,
99
] | 48 | [
"72-6=66",
"32*99=3168",
"3168/66=48"
] | Current State: 48:[72, 6, 32, 99], Operations: []
Exploring Operation: 72-6=66, Resulting Numbers: [32, 99, 66]
Generated Node #2: [32, 99, 66] from Operation: 72-6=66
Current State: 48:[32, 99, 66], Operations: ['72-6=66']
Exploring Operation: 32*99=3168, Resulting Numbers: [66, 3168]
Generated Node #3: [66, 3168] from Operation: 32*99=3168
Current State: 48:[66, 3168], Operations: ['72-6=66', '32*99=3168']
Exploring Operation: 3168/66=48, Resulting Numbers: [48]
48,48 equal: Goal Reached
| 4 |
[
1,
53,
76,
9
] | 13 | [
"1+53=54",
"76-9=67",
"67-54=13"
] | Current State: 13:[1, 53, 76, 9], Operations: []
Exploring Operation: 1+53=54, Resulting Numbers: [76, 9, 54]
Generated Node #2: [76, 9, 54] from Operation: 1+53=54
Current State: 13:[76, 9, 54], Operations: ['1+53=54']
Exploring Operation: 76-9=67, Resulting Numbers: [54, 67]
Generated Node #3: [54, 67] from Operation: 76-9=67
Current State: 13:[54, 67], Operations: ['1+53=54', '76-9=67']
Exploring Operation: 67-54=13, Resulting Numbers: [13]
13,13 equal: Goal Reached
| 4 |
[
70,
96,
70,
4
] | 59 | [
"70+96=166",
"70+166=236",
"236/4=59"
] | Current State: 59:[70, 96, 70, 4], Operations: []
Exploring Operation: 70+96=166, Resulting Numbers: [4, 166]
Generated Node #2: [4, 166] from Operation: 70+96=166
Current State: 59:[4, 166], Operations: ['70+96=166']
Exploring Operation: 70+166=236, Resulting Numbers: [4, 236]
Generated Node #3: [4, 236] from Operation: 70+166=236
Current State: 59:[4, 236], Operations: ['70+96=166', '70+166=236']
Exploring Operation: 236/4=59, Resulting Numbers: [59]
59,59 equal: Goal Reached
| 4 |
[
85,
49,
52,
66
] | 57 | [
"85-66=19",
"52-49=3",
"19*3=57"
] | Current State: 57:[85, 49, 52, 66], Operations: []
Exploring Operation: 85-66=19, Resulting Numbers: [49, 52, 19]
Generated Node #2: [49, 52, 19] from Operation: 85-66=19
Current State: 57:[49, 52, 19], Operations: ['85-66=19']
Exploring Operation: 52-49=3, Resulting Numbers: [19, 3]
Generated Node #3: [19, 3] from Operation: 52-49=3
Current State: 57:[19, 3], Operations: ['85-66=19', '52-49=3']
Exploring Operation: 19*3=57, Resulting Numbers: [57]
57,57 equal: Goal Reached
| 4 |
[
78,
36,
10,
24
] | 13 | [
"78*10=780",
"36+24=60",
"780/60=13"
] | Current State: 13:[78, 36, 10, 24], Operations: []
Exploring Operation: 78*10=780, Resulting Numbers: [36, 24, 780]
Generated Node #2: [36, 24, 780] from Operation: 78*10=780
Current State: 13:[36, 24, 780], Operations: ['78*10=780']
Exploring Operation: 36+24=60, Resulting Numbers: [780, 60]
Generated Node #3: [780, 60] from Operation: 36+24=60
Current State: 13:[780, 60], Operations: ['78*10=780', '36+24=60']
Exploring Operation: 780/60=13, Resulting Numbers: [13]
13,13 equal: Goal Reached
| 4 |
[
17,
26,
55,
12
] | 34 | [
"26-17=9",
"55-12=43",
"43-9=34"
] | Current State: 34:[17, 26, 55, 12], Operations: []
Exploring Operation: 26-17=9, Resulting Numbers: [55, 12, 9]
Generated Node #2: [55, 12, 9] from Operation: 26-17=9
Current State: 34:[55, 12, 9], Operations: ['26-17=9']
Exploring Operation: 55-12=43, Resulting Numbers: [9, 43]
Generated Node #3: [9, 43] from Operation: 55-12=43
Current State: 34:[9, 43], Operations: ['26-17=9', '55-12=43']
Exploring Operation: 43-9=34, Resulting Numbers: [34]
34,34 equal: Goal Reached
| 4 |
[
11,
47,
60,
9
] | 11 | [
"11+47=58",
"60+9=69",
"69-58=11"
] | Current State: 11:[11, 47, 60, 9], Operations: []
Exploring Operation: 11+47=58, Resulting Numbers: [60, 9, 58]
Generated Node #2: [60, 9, 58] from Operation: 11+47=58
Current State: 11:[60, 9, 58], Operations: ['11+47=58']
Exploring Operation: 60+9=69, Resulting Numbers: [58, 69]
Generated Node #3: [58, 69] from Operation: 60+9=69
Current State: 11:[58, 69], Operations: ['11+47=58', '60+9=69']
Exploring Operation: 69-58=11, Resulting Numbers: [11]
11,11 equal: Goal Reached
| 4 |
[
41,
33,
12,
30
] | 37 | [
"33-30=3",
"12/3=4",
"41-4=37"
] | Current State: 37:[41, 33, 12, 30], Operations: []
Exploring Operation: 33-30=3, Resulting Numbers: [41, 12, 3]
Generated Node #2: [41, 12, 3] from Operation: 33-30=3
Current State: 37:[41, 12, 3], Operations: ['33-30=3']
Exploring Operation: 12/3=4, Resulting Numbers: [41, 4]
Generated Node #3: [41, 4] from Operation: 12/3=4
Current State: 37:[41, 4], Operations: ['33-30=3', '12/3=4']
Exploring Operation: 41-4=37, Resulting Numbers: [37]
37,37 equal: Goal Reached
| 4 |
[
42,
80,
13,
11
] | 85 | [
"42+13=55",
"55/11=5",
"80+5=85"
] | Current State: 85:[42, 80, 13, 11], Operations: []
Exploring Operation: 42+13=55, Resulting Numbers: [80, 11, 55]
Generated Node #2: [80, 11, 55] from Operation: 42+13=55
Current State: 85:[80, 11, 55], Operations: ['42+13=55']
Exploring Operation: 55/11=5, Resulting Numbers: [80, 5]
Generated Node #3: [80, 5] from Operation: 55/11=5
Current State: 85:[80, 5], Operations: ['42+13=55', '55/11=5']
Exploring Operation: 80+5=85, Resulting Numbers: [85]
85,85 equal: Goal Reached
| 4 |
[
11,
57,
11,
22
] | 54 | [
"11+22=33",
"33/11=3",
"57-3=54"
] | Current State: 54:[11, 57, 11, 22], Operations: []
Exploring Operation: 11+22=33, Resulting Numbers: [57, 33]
Generated Node #2: [57, 33] from Operation: 11+22=33
Current State: 54:[57, 33], Operations: ['11+22=33']
Exploring Operation: 33/11=3, Resulting Numbers: [57, 3]
Generated Node #3: [57, 3] from Operation: 33/11=3
Current State: 54:[57, 3], Operations: ['11+22=33', '33/11=3']
Exploring Operation: 57-3=54, Resulting Numbers: [54]
54,54 equal: Goal Reached
| 4 |
[
70,
28,
29,
96
] | 31 | [
"70+28=98",
"96-29=67",
"98-67=31"
] | Current State: 31:[70, 28, 29, 96], Operations: []
Exploring Operation: 70+28=98, Resulting Numbers: [29, 96, 98]
Generated Node #2: [29, 96, 98] from Operation: 70+28=98
Current State: 31:[29, 96, 98], Operations: ['70+28=98']
Exploring Operation: 96-29=67, Resulting Numbers: [98, 67]
Generated Node #3: [98, 67] from Operation: 96-29=67
Current State: 31:[98, 67], Operations: ['70+28=98', '96-29=67']
Exploring Operation: 98-67=31, Resulting Numbers: [31]
31,31 equal: Goal Reached
| 4 |
[
64,
10,
54,
62
] | 16 | [
"62-54=8",
"10*8=80",
"80-64=16"
] | Current State: 16:[64, 10, 54, 62], Operations: []
Exploring Operation: 62-54=8, Resulting Numbers: [64, 10, 8]
Generated Node #2: [64, 10, 8] from Operation: 62-54=8
Current State: 16:[64, 10, 8], Operations: ['62-54=8']
Exploring Operation: 10*8=80, Resulting Numbers: [64, 80]
Generated Node #3: [64, 80] from Operation: 10*8=80
Current State: 16:[64, 80], Operations: ['62-54=8', '10*8=80']
Exploring Operation: 80-64=16, Resulting Numbers: [16]
16,16 equal: Goal Reached
| 4 |
[
94,
10,
24,
44
] | 84 | [
"94+10=104",
"44-24=20",
"104-20=84"
] | Current State: 84:[94, 10, 24, 44], Operations: []
Exploring Operation: 94+10=104, Resulting Numbers: [24, 44, 104]
Generated Node #2: [24, 44, 104] from Operation: 94+10=104
Current State: 84:[24, 44, 104], Operations: ['94+10=104']
Exploring Operation: 44-24=20, Resulting Numbers: [104, 20]
Generated Node #3: [104, 20] from Operation: 44-24=20
Current State: 84:[104, 20], Operations: ['94+10=104', '44-24=20']
Exploring Operation: 104-20=84, Resulting Numbers: [84]
84,84 equal: Goal Reached
| 4 |
[
18,
74,
7,
87
] | 12 | [
"18+74=92",
"87-7=80",
"92-80=12"
] | Current State: 12:[18, 74, 7, 87], Operations: []
Exploring Operation: 18+74=92, Resulting Numbers: [7, 87, 92]
Generated Node #2: [7, 87, 92] from Operation: 18+74=92
Current State: 12:[7, 87, 92], Operations: ['18+74=92']
Exploring Operation: 87-7=80, Resulting Numbers: [92, 80]
Generated Node #3: [92, 80] from Operation: 87-7=80
Current State: 12:[92, 80], Operations: ['18+74=92', '87-7=80']
Exploring Operation: 92-80=12, Resulting Numbers: [12]
12,12 equal: Goal Reached
| 4 |
[
82,
12,
61,
2
] | 14 | [
"82+12=94",
"94/2=47",
"61-47=14"
] | Current State: 14:[82, 12, 61, 2], Operations: []
Exploring Operation: 82+12=94, Resulting Numbers: [61, 2, 94]
Generated Node #2: [61, 2, 94] from Operation: 82+12=94
Current State: 14:[61, 2, 94], Operations: ['82+12=94']
Exploring Operation: 94/2=47, Resulting Numbers: [61, 47]
Generated Node #3: [61, 47] from Operation: 94/2=47
Current State: 14:[61, 47], Operations: ['82+12=94', '94/2=47']
Exploring Operation: 61-47=14, Resulting Numbers: [14]
14,14 equal: Goal Reached
| 4 |
[
99,
10,
15,
75
] | 96 | [
"10+15=25",
"75/25=3",
"99-3=96"
] | Current State: 96:[99, 10, 15, 75], Operations: []
Exploring Operation: 10+15=25, Resulting Numbers: [99, 75, 25]
Generated Node #2: [99, 75, 25] from Operation: 10+15=25
Current State: 96:[99, 75, 25], Operations: ['10+15=25']
Exploring Operation: 75/25=3, Resulting Numbers: [99, 3]
Generated Node #3: [99, 3] from Operation: 75/25=3
Current State: 96:[99, 3], Operations: ['10+15=25', '75/25=3']
Exploring Operation: 99-3=96, Resulting Numbers: [96]
96,96 equal: Goal Reached
| 4 |
[
23,
52,
62,
2
] | 80 | [
"52+62=114",
"114/2=57",
"23+57=80"
] | Current State: 80:[23, 52, 62, 2], Operations: []
Exploring Operation: 52+62=114, Resulting Numbers: [23, 2, 114]
Generated Node #2: [23, 2, 114] from Operation: 52+62=114
Current State: 80:[23, 2, 114], Operations: ['52+62=114']
Exploring Operation: 114/2=57, Resulting Numbers: [23, 57]
Generated Node #3: [23, 57] from Operation: 114/2=57
Current State: 80:[23, 57], Operations: ['52+62=114', '114/2=57']
Exploring Operation: 23+57=80, Resulting Numbers: [80]
80,80 equal: Goal Reached
| 4 |
[
81,
97,
36,
29
] | 23 | [
"97-81=16",
"36-29=7",
"16+7=23"
] | Current State: 23:[81, 97, 36, 29], Operations: []
Exploring Operation: 97-81=16, Resulting Numbers: [36, 29, 16]
Generated Node #2: [36, 29, 16] from Operation: 97-81=16
Current State: 23:[36, 29, 16], Operations: ['97-81=16']
Exploring Operation: 36-29=7, Resulting Numbers: [16, 7]
Generated Node #3: [16, 7] from Operation: 36-29=7
Current State: 23:[16, 7], Operations: ['97-81=16', '36-29=7']
Exploring Operation: 16+7=23, Resulting Numbers: [23]
23,23 equal: Goal Reached
| 4 |
[
9,
87,
44,
26
] | 47 | [
"87-9=78",
"78/26=3",
"44+3=47"
] | Current State: 47:[9, 87, 44, 26], Operations: []
Exploring Operation: 87-9=78, Resulting Numbers: [44, 26, 78]
Generated Node #2: [44, 26, 78] from Operation: 87-9=78
Current State: 47:[44, 26, 78], Operations: ['87-9=78']
Exploring Operation: 78/26=3, Resulting Numbers: [44, 3]
Generated Node #3: [44, 3] from Operation: 78/26=3
Current State: 47:[44, 3], Operations: ['87-9=78', '78/26=3']
Exploring Operation: 44+3=47, Resulting Numbers: [47]
47,47 equal: Goal Reached
| 4 |
[
57,
74,
73,
12
] | 44 | [
"74-57=17",
"73-12=61",
"61-17=44"
] | Current State: 44:[57, 74, 73, 12], Operations: []
Exploring Operation: 74-57=17, Resulting Numbers: [73, 12, 17]
Generated Node #2: [73, 12, 17] from Operation: 74-57=17
Current State: 44:[73, 12, 17], Operations: ['74-57=17']
Exploring Operation: 73-12=61, Resulting Numbers: [17, 61]
Generated Node #3: [17, 61] from Operation: 73-12=61
Current State: 44:[17, 61], Operations: ['74-57=17', '73-12=61']
Exploring Operation: 61-17=44, Resulting Numbers: [44]
44,44 equal: Goal Reached
| 4 |
[
47,
27,
4,
7
] | 12 | [
"47-27=20",
"20/4=5",
"7+5=12"
] | Current State: 12:[47, 27, 4, 7], Operations: []
Exploring Operation: 47-27=20, Resulting Numbers: [4, 7, 20]
Generated Node #2: [4, 7, 20] from Operation: 47-27=20
Current State: 12:[4, 7, 20], Operations: ['47-27=20']
Exploring Operation: 20/4=5, Resulting Numbers: [7, 5]
Generated Node #3: [7, 5] from Operation: 20/4=5
Current State: 12:[7, 5], Operations: ['47-27=20', '20/4=5']
Exploring Operation: 7+5=12, Resulting Numbers: [12]
12,12 equal: Goal Reached
| 4 |
[
26,
20,
66,
75
] | 15 | [
"26-20=6",
"75-66=9",
"6+9=15"
] | Current State: 15:[26, 20, 66, 75], Operations: []
Exploring Operation: 26-20=6, Resulting Numbers: [66, 75, 6]
Generated Node #2: [66, 75, 6] from Operation: 26-20=6
Current State: 15:[66, 75, 6], Operations: ['26-20=6']
Exploring Operation: 75-66=9, Resulting Numbers: [6, 9]
Generated Node #3: [6, 9] from Operation: 75-66=9
Current State: 15:[6, 9], Operations: ['26-20=6', '75-66=9']
Exploring Operation: 6+9=15, Resulting Numbers: [15]
15,15 equal: Goal Reached
| 4 |
[
28,
12,
2,
17
] | 63 | [
"28+12=40",
"2*40=80",
"80-17=63"
] | Current State: 63:[28, 12, 2, 17], Operations: []
Exploring Operation: 28+12=40, Resulting Numbers: [2, 17, 40]
Generated Node #2: [2, 17, 40] from Operation: 28+12=40
Current State: 63:[2, 17, 40], Operations: ['28+12=40']
Exploring Operation: 2*40=80, Resulting Numbers: [17, 80]
Generated Node #3: [17, 80] from Operation: 2*40=80
Current State: 63:[17, 80], Operations: ['28+12=40', '2*40=80']
Exploring Operation: 80-17=63, Resulting Numbers: [63]
63,63 equal: Goal Reached
| 4 |
[
23,
96,
2,
56
] | 62 | [
"23+56=79",
"2*79=158",
"158-96=62"
] | Current State: 62:[23, 96, 2, 56], Operations: []
Exploring Operation: 23+56=79, Resulting Numbers: [96, 2, 79]
Generated Node #2: [96, 2, 79] from Operation: 23+56=79
Current State: 62:[96, 2, 79], Operations: ['23+56=79']
Exploring Operation: 2*79=158, Resulting Numbers: [96, 158]
Generated Node #3: [96, 158] from Operation: 2*79=158
Current State: 62:[96, 158], Operations: ['23+56=79', '2*79=158']
Exploring Operation: 158-96=62, Resulting Numbers: [62]
62,62 equal: Goal Reached
| 4 |
[
66,
79,
68,
19
] | 74 | [
"79-66=13",
"68+19=87",
"87-13=74"
] | Current State: 74:[66, 79, 68, 19], Operations: []
Exploring Operation: 79-66=13, Resulting Numbers: [68, 19, 13]
Generated Node #2: [68, 19, 13] from Operation: 79-66=13
Current State: 74:[68, 19, 13], Operations: ['79-66=13']
Exploring Operation: 68+19=87, Resulting Numbers: [13, 87]
Generated Node #3: [13, 87] from Operation: 68+19=87
Current State: 74:[13, 87], Operations: ['79-66=13', '68+19=87']
Exploring Operation: 87-13=74, Resulting Numbers: [74]
74,74 equal: Goal Reached
| 4 |
[
67,
21,
3,
11
] | 60 | [
"67-21=46",
"3+11=14",
"46+14=60"
] | Current State: 60:[67, 21, 3, 11], Operations: []
Exploring Operation: 67-21=46, Resulting Numbers: [3, 11, 46]
Generated Node #2: [3, 11, 46] from Operation: 67-21=46
Current State: 60:[3, 11, 46], Operations: ['67-21=46']
Exploring Operation: 3+11=14, Resulting Numbers: [46, 14]
Generated Node #3: [46, 14] from Operation: 3+11=14
Current State: 60:[46, 14], Operations: ['67-21=46', '3+11=14']
Exploring Operation: 46+14=60, Resulting Numbers: [60]
60,60 equal: Goal Reached
| 4 |
[
55,
78,
32,
78
] | 32 | [
"78-78=0",
"55*0=0",
"32+0=32"
] | Current State: 32:[55, 78, 32, 78], Operations: []
Exploring Operation: 78-78=0, Resulting Numbers: [55, 32, 0]
Generated Node #2: [55, 32, 0] from Operation: 78-78=0
Current State: 32:[55, 32, 0], Operations: ['78-78=0']
Exploring Operation: 55*0=0, Resulting Numbers: [32, 0]
Generated Node #3: [32, 0] from Operation: 55*0=0
Current State: 32:[32, 0], Operations: ['78-78=0', '55*0=0']
Exploring Operation: 32+0=32, Resulting Numbers: [32]
32,32 equal: Goal Reached
| 4 |
[
2,
23,
98,
9
] | 34 | [
"23+9=32",
"2*32=64",
"98-64=34"
] | Current State: 34:[2, 23, 98, 9], Operations: []
Exploring Operation: 23+9=32, Resulting Numbers: [2, 98, 32]
Generated Node #2: [2, 98, 32] from Operation: 23+9=32
Current State: 34:[2, 98, 32], Operations: ['23+9=32']
Exploring Operation: 2*32=64, Resulting Numbers: [98, 64]
Generated Node #3: [98, 64] from Operation: 2*32=64
Current State: 34:[98, 64], Operations: ['23+9=32', '2*32=64']
Exploring Operation: 98-64=34, Resulting Numbers: [34]
34,34 equal: Goal Reached
| 4 |
[
55,
41,
9,
63
] | 63 | [
"55-41=14",
"9*14=126",
"126-63=63"
] | Current State: 63:[55, 41, 9, 63], Operations: []
Exploring Operation: 55-41=14, Resulting Numbers: [9, 63, 14]
Generated Node #2: [9, 63, 14] from Operation: 55-41=14
Current State: 63:[9, 63, 14], Operations: ['55-41=14']
Exploring Operation: 9*14=126, Resulting Numbers: [63, 126]
Generated Node #3: [63, 126] from Operation: 9*14=126
Current State: 63:[63, 126], Operations: ['55-41=14', '9*14=126']
Exploring Operation: 126-63=63, Resulting Numbers: [63]
63,63 equal: Goal Reached
| 4 |
[
97,
2,
38,
24
] | 54 | [
"97-24=73",
"38/2=19",
"73-19=54"
] | Current State: 54:[97, 2, 38, 24], Operations: []
Exploring Operation: 97-24=73, Resulting Numbers: [2, 38, 73]
Generated Node #2: [2, 38, 73] from Operation: 97-24=73
Current State: 54:[2, 38, 73], Operations: ['97-24=73']
Exploring Operation: 38/2=19, Resulting Numbers: [73, 19]
Generated Node #3: [73, 19] from Operation: 38/2=19
Current State: 54:[73, 19], Operations: ['97-24=73', '38/2=19']
Exploring Operation: 73-19=54, Resulting Numbers: [54]
54,54 equal: Goal Reached
| 4 |
[
93,
3,
7,
42
] | 25 | [
"93/3=31",
"42/7=6",
"31-6=25"
] | Current State: 25:[93, 3, 7, 42], Operations: []
Exploring Operation: 93/3=31, Resulting Numbers: [7, 42, 31]
Generated Node #2: [7, 42, 31] from Operation: 93/3=31
Current State: 25:[7, 42, 31], Operations: ['93/3=31']
Exploring Operation: 42/7=6, Resulting Numbers: [31, 6]
Generated Node #3: [31, 6] from Operation: 42/7=6
Current State: 25:[31, 6], Operations: ['93/3=31', '42/7=6']
Exploring Operation: 31-6=25, Resulting Numbers: [25]
25,25 equal: Goal Reached
| 4 |
[
70,
24,
74,
70
] | 90 | [
"70+24=94",
"74-70=4",
"94-4=90"
] | Current State: 90:[70, 24, 74, 70], Operations: []
Exploring Operation: 70+24=94, Resulting Numbers: [74, 94]
Generated Node #2: [74, 94] from Operation: 70+24=94
Current State: 90:[74, 94], Operations: ['70+24=94']
Exploring Operation: 74-70=4, Resulting Numbers: [94, 4]
Generated Node #3: [94, 4] from Operation: 74-70=4
Current State: 90:[94, 4], Operations: ['70+24=94', '74-70=4']
Exploring Operation: 94-4=90, Resulting Numbers: [90]
90,90 equal: Goal Reached
| 4 |
[
45,
3,
83,
24
] | 28 | [
"45*3=135",
"83+24=107",
"135-107=28"
] | Current State: 28:[45, 3, 83, 24], Operations: []
Exploring Operation: 45*3=135, Resulting Numbers: [83, 24, 135]
Generated Node #2: [83, 24, 135] from Operation: 45*3=135
Current State: 28:[83, 24, 135], Operations: ['45*3=135']
Exploring Operation: 83+24=107, Resulting Numbers: [135, 107]
Generated Node #3: [135, 107] from Operation: 83+24=107
Current State: 28:[135, 107], Operations: ['45*3=135', '83+24=107']
Exploring Operation: 135-107=28, Resulting Numbers: [28]
28,28 equal: Goal Reached
| 4 |
[
39,
33,
1,
64
] | 59 | [
"39-33=6",
"1+64=65",
"65-6=59"
] | Current State: 59:[39, 33, 1, 64], Operations: []
Exploring Operation: 39-33=6, Resulting Numbers: [1, 64, 6]
Generated Node #2: [1, 64, 6] from Operation: 39-33=6
Current State: 59:[1, 64, 6], Operations: ['39-33=6']
Exploring Operation: 1+64=65, Resulting Numbers: [6, 65]
Generated Node #3: [6, 65] from Operation: 1+64=65
Current State: 59:[6, 65], Operations: ['39-33=6', '1+64=65']
Exploring Operation: 65-6=59, Resulting Numbers: [59]
59,59 equal: Goal Reached
| 4 |
[
6,
97,
24,
55
] | 11 | [
"97+24=121",
"121-55=66",
"66/6=11"
] | Current State: 11:[6, 97, 24, 55], Operations: []
Exploring Operation: 97+24=121, Resulting Numbers: [6, 55, 121]
Generated Node #2: [6, 55, 121] from Operation: 97+24=121
Current State: 11:[6, 55, 121], Operations: ['97+24=121']
Exploring Operation: 121-55=66, Resulting Numbers: [6, 66]
Generated Node #3: [6, 66] from Operation: 121-55=66
Current State: 11:[6, 66], Operations: ['97+24=121', '121-55=66']
Exploring Operation: 66/6=11, Resulting Numbers: [11]
11,11 equal: Goal Reached
| 4 |
[
76,
36,
49,
5
] | 84 | [
"76-36=40",
"49-5=44",
"40+44=84"
] | Current State: 84:[76, 36, 49, 5], Operations: []
Exploring Operation: 76-36=40, Resulting Numbers: [49, 5, 40]
Generated Node #2: [49, 5, 40] from Operation: 76-36=40
Current State: 84:[49, 5, 40], Operations: ['76-36=40']
Exploring Operation: 49-5=44, Resulting Numbers: [40, 44]
Generated Node #3: [40, 44] from Operation: 49-5=44
Current State: 84:[40, 44], Operations: ['76-36=40', '49-5=44']
Exploring Operation: 40+44=84, Resulting Numbers: [84]
84,84 equal: Goal Reached
| 4 |
[
31,
29,
76,
95
] | 19 | [
"31*76=2356",
"29+95=124",
"2356/124=19"
] | Current State: 19:[31, 29, 76, 95], Operations: []
Exploring Operation: 31*76=2356, Resulting Numbers: [29, 95, 2356]
Generated Node #2: [29, 95, 2356] from Operation: 31*76=2356
Current State: 19:[29, 95, 2356], Operations: ['31*76=2356']
Exploring Operation: 29+95=124, Resulting Numbers: [2356, 124]
Generated Node #3: [2356, 124] from Operation: 29+95=124
Current State: 19:[2356, 124], Operations: ['31*76=2356', '29+95=124']
Exploring Operation: 2356/124=19, Resulting Numbers: [19]
19,19 equal: Goal Reached
| 4 |
[
75,
64,
88,
40
] | 91 | [
"75+64=139",
"88-40=48",
"139-48=91"
] | Current State: 91:[75, 64, 88, 40], Operations: []
Exploring Operation: 75+64=139, Resulting Numbers: [88, 40, 139]
Generated Node #2: [88, 40, 139] from Operation: 75+64=139
Current State: 91:[88, 40, 139], Operations: ['75+64=139']
Exploring Operation: 88-40=48, Resulting Numbers: [139, 48]
Generated Node #3: [139, 48] from Operation: 88-40=48
Current State: 91:[139, 48], Operations: ['75+64=139', '88-40=48']
Exploring Operation: 139-48=91, Resulting Numbers: [91]
91,91 equal: Goal Reached
| 4 |
[
51,
52,
12,
90
] | 26 | [
"51*52=2652",
"12+90=102",
"2652/102=26"
] | Current State: 26:[51, 52, 12, 90], Operations: []
Exploring Operation: 51*52=2652, Resulting Numbers: [12, 90, 2652]
Generated Node #2: [12, 90, 2652] from Operation: 51*52=2652
Current State: 26:[12, 90, 2652], Operations: ['51*52=2652']
Exploring Operation: 12+90=102, Resulting Numbers: [2652, 102]
Generated Node #3: [2652, 102] from Operation: 12+90=102
Current State: 26:[2652, 102], Operations: ['51*52=2652', '12+90=102']
Exploring Operation: 2652/102=26, Resulting Numbers: [26]
26,26 equal: Goal Reached
| 4 |
[
51,
68,
20,
68
] | 16 | [
"68-51=17",
"68/17=4",
"20-4=16"
] | Current State: 16:[51, 68, 20, 68], Operations: []
Exploring Operation: 68-51=17, Resulting Numbers: [20, 17]
Generated Node #2: [20, 17] from Operation: 68-51=17
Current State: 16:[20, 17], Operations: ['68-51=17']
Exploring Operation: 68/17=4, Resulting Numbers: [20, 4]
Generated Node #3: [20, 4] from Operation: 68/17=4
Current State: 16:[20, 4], Operations: ['68-51=17', '68/17=4']
Exploring Operation: 20-4=16, Resulting Numbers: [16]
16,16 equal: Goal Reached
| 4 |
[
10,
36,
86,
15
] | 75 | [
"36-10=26",
"86+15=101",
"101-26=75"
] | Current State: 75:[10, 36, 86, 15], Operations: []
Exploring Operation: 36-10=26, Resulting Numbers: [86, 15, 26]
Generated Node #2: [86, 15, 26] from Operation: 36-10=26
Current State: 75:[86, 15, 26], Operations: ['36-10=26']
Exploring Operation: 86+15=101, Resulting Numbers: [26, 101]
Generated Node #3: [26, 101] from Operation: 86+15=101
Current State: 75:[26, 101], Operations: ['36-10=26', '86+15=101']
Exploring Operation: 101-26=75, Resulting Numbers: [75]
75,75 equal: Goal Reached
| 4 |
[
22,
24,
98,
33
] | 63 | [
"24-22=2",
"98-33=65",
"65-2=63"
] | Current State: 63:[22, 24, 98, 33], Operations: []
Exploring Operation: 24-22=2, Resulting Numbers: [98, 33, 2]
Generated Node #2: [98, 33, 2] from Operation: 24-22=2
Current State: 63:[98, 33, 2], Operations: ['24-22=2']
Exploring Operation: 98-33=65, Resulting Numbers: [2, 65]
Generated Node #3: [2, 65] from Operation: 98-33=65
Current State: 63:[2, 65], Operations: ['24-22=2', '98-33=65']
Exploring Operation: 65-2=63, Resulting Numbers: [63]
63,63 equal: Goal Reached
| 4 |
[
23,
56,
10,
3
] | 15 | [
"10-3=7",
"56/7=8",
"23-8=15"
] | Current State: 15:[23, 56, 10, 3], Operations: []
Exploring Operation: 10-3=7, Resulting Numbers: [23, 56, 7]
Generated Node #2: [23, 56, 7] from Operation: 10-3=7
Current State: 15:[23, 56, 7], Operations: ['10-3=7']
Exploring Operation: 56/7=8, Resulting Numbers: [23, 8]
Generated Node #3: [23, 8] from Operation: 56/7=8
Current State: 15:[23, 8], Operations: ['10-3=7', '56/7=8']
Exploring Operation: 23-8=15, Resulting Numbers: [15]
15,15 equal: Goal Reached
| 4 |
[
9,
20,
30,
14
] | 15 | [
"9+20=29",
"30+14=44",
"44-29=15"
] | Current State: 15:[9, 20, 30, 14], Operations: []
Exploring Operation: 9+20=29, Resulting Numbers: [30, 14, 29]
Generated Node #2: [30, 14, 29] from Operation: 9+20=29
Current State: 15:[30, 14, 29], Operations: ['9+20=29']
Exploring Operation: 30+14=44, Resulting Numbers: [29, 44]
Generated Node #3: [29, 44] from Operation: 30+14=44
Current State: 15:[29, 44], Operations: ['9+20=29', '30+14=44']
Exploring Operation: 44-29=15, Resulting Numbers: [15]
15,15 equal: Goal Reached
| 4 |
[
26,
26,
34,
1
] | 85 | [
"26+26=52",
"34-1=33",
"52+33=85"
] | Current State: 85:[26, 26, 34, 1], Operations: []
Exploring Operation: 26+26=52, Resulting Numbers: [34, 1, 52]
Generated Node #2: [34, 1, 52] from Operation: 26+26=52
Current State: 85:[34, 1, 52], Operations: ['26+26=52']
Exploring Operation: 34-1=33, Resulting Numbers: [52, 33]
Generated Node #3: [52, 33] from Operation: 34-1=33
Current State: 85:[52, 33], Operations: ['26+26=52', '34-1=33']
Exploring Operation: 52+33=85, Resulting Numbers: [85]
85,85 equal: Goal Reached
| 4 |
[
42,
11,
21,
77
] | 68 | [
"42/21=2",
"77-11=66",
"2+66=68"
] | Current State: 68:[42, 11, 21, 77], Operations: []
Exploring Operation: 42/21=2, Resulting Numbers: [11, 77, 2]
Generated Node #2: [11, 77, 2] from Operation: 42/21=2
Current State: 68:[11, 77, 2], Operations: ['42/21=2']
Exploring Operation: 77-11=66, Resulting Numbers: [2, 66]
Generated Node #3: [2, 66] from Operation: 77-11=66
Current State: 68:[2, 66], Operations: ['42/21=2', '77-11=66']
Exploring Operation: 2+66=68, Resulting Numbers: [68]
68,68 equal: Goal Reached
| 4 |
[
87,
79,
68,
35
] | 25 | [
"87-79=8",
"68-35=33",
"33-8=25"
] | Current State: 25:[87, 79, 68, 35], Operations: []
Exploring Operation: 87-79=8, Resulting Numbers: [68, 35, 8]
Generated Node #2: [68, 35, 8] from Operation: 87-79=8
Current State: 25:[68, 35, 8], Operations: ['87-79=8']
Exploring Operation: 68-35=33, Resulting Numbers: [8, 33]
Generated Node #3: [8, 33] from Operation: 68-35=33
Current State: 25:[8, 33], Operations: ['87-79=8', '68-35=33']
Exploring Operation: 33-8=25, Resulting Numbers: [25]
25,25 equal: Goal Reached
| 4 |
[
56,
45,
7,
7
] | 45 | [
"56/7=8",
"8-7=1",
"45*1=45"
] | Current State: 45:[56, 45, 7, 7], Operations: []
Exploring Operation: 56/7=8, Resulting Numbers: [45, 8]
Generated Node #2: [45, 8] from Operation: 56/7=8
Current State: 45:[45, 8], Operations: ['56/7=8']
Exploring Operation: 8-7=1, Resulting Numbers: [45, 1]
Generated Node #3: [45, 1] from Operation: 8-7=1
Current State: 45:[45, 1], Operations: ['56/7=8', '8-7=1']
Exploring Operation: 45*1=45, Resulting Numbers: [45]
45,45 equal: Goal Reached
| 4 |
[
93,
53,
95,
59
] | 47 | [
"95-93=2",
"53*2=106",
"106-59=47"
] | Current State: 47:[93, 53, 95, 59], Operations: []
Exploring Operation: 95-93=2, Resulting Numbers: [53, 59, 2]
Generated Node #2: [53, 59, 2] from Operation: 95-93=2
Current State: 47:[53, 59, 2], Operations: ['95-93=2']
Exploring Operation: 53*2=106, Resulting Numbers: [59, 106]
Generated Node #3: [59, 106] from Operation: 53*2=106
Current State: 47:[59, 106], Operations: ['95-93=2', '53*2=106']
Exploring Operation: 106-59=47, Resulting Numbers: [47]
47,47 equal: Goal Reached
| 4 |
[
13,
55,
72,
24
] | 45 | [
"55-13=42",
"72/24=3",
"42+3=45"
] | Current State: 45:[13, 55, 72, 24], Operations: []
Exploring Operation: 55-13=42, Resulting Numbers: [72, 24, 42]
Generated Node #2: [72, 24, 42] from Operation: 55-13=42
Current State: 45:[72, 24, 42], Operations: ['55-13=42']
Exploring Operation: 72/24=3, Resulting Numbers: [42, 3]
Generated Node #3: [42, 3] from Operation: 72/24=3
Current State: 45:[42, 3], Operations: ['55-13=42', '72/24=3']
Exploring Operation: 42+3=45, Resulting Numbers: [45]
45,45 equal: Goal Reached
| 4 |
[
72,
10,
69,
55
] | 15 | [
"72-69=3",
"55-10=45",
"45/3=15"
] | Current State: 15:[72, 10, 69, 55], Operations: []
Exploring Operation: 72-69=3, Resulting Numbers: [10, 55, 3]
Generated Node #2: [10, 55, 3] from Operation: 72-69=3
Current State: 15:[10, 55, 3], Operations: ['72-69=3']
Exploring Operation: 55-10=45, Resulting Numbers: [3, 45]
Generated Node #3: [3, 45] from Operation: 55-10=45
Current State: 15:[3, 45], Operations: ['72-69=3', '55-10=45']
Exploring Operation: 45/3=15, Resulting Numbers: [15]
15,15 equal: Goal Reached
| 4 |
[
47,
43,
46,
9
] | 33 | [
"47-43=4",
"46-9=37",
"37-4=33"
] | Current State: 33:[47, 43, 46, 9], Operations: []
Exploring Operation: 47-43=4, Resulting Numbers: [46, 9, 4]
Generated Node #2: [46, 9, 4] from Operation: 47-43=4
Current State: 33:[46, 9, 4], Operations: ['47-43=4']
Exploring Operation: 46-9=37, Resulting Numbers: [4, 37]
Generated Node #3: [4, 37] from Operation: 46-9=37
Current State: 33:[4, 37], Operations: ['47-43=4', '46-9=37']
Exploring Operation: 37-4=33, Resulting Numbers: [33]
33,33 equal: Goal Reached
| 4 |
[
77,
70,
63,
89
] | 97 | [
"77*89=6853",
"6853-63=6790",
"6790/70=97"
] | Current State: 97:[77, 70, 63, 89], Operations: []
Exploring Operation: 77*89=6853, Resulting Numbers: [70, 63, 6853]
Generated Node #2: [70, 63, 6853] from Operation: 77*89=6853
Current State: 97:[70, 63, 6853], Operations: ['77*89=6853']
Exploring Operation: 6853-63=6790, Resulting Numbers: [70, 6790]
Generated Node #3: [70, 6790] from Operation: 6853-63=6790
Current State: 97:[70, 6790], Operations: ['77*89=6853', '6853-63=6790']
Exploring Operation: 6790/70=97, Resulting Numbers: [97]
97,97 equal: Goal Reached
| 4 |
[
96,
34,
80,
26
] | 92 | [
"34-26=8",
"96/8=12",
"80+12=92"
] | Current State: 92:[96, 34, 80, 26], Operations: []
Exploring Operation: 34-26=8, Resulting Numbers: [96, 80, 8]
Generated Node #2: [96, 80, 8] from Operation: 34-26=8
Current State: 92:[96, 80, 8], Operations: ['34-26=8']
Exploring Operation: 96/8=12, Resulting Numbers: [80, 12]
Generated Node #3: [80, 12] from Operation: 96/8=12
Current State: 92:[80, 12], Operations: ['34-26=8', '96/8=12']
Exploring Operation: 80+12=92, Resulting Numbers: [92]
92,92 equal: Goal Reached
| 4 |
[
33,
90,
13,
19
] | 89 | [
"90-33=57",
"13+19=32",
"57+32=89"
] | Current State: 89:[33, 90, 13, 19], Operations: []
Exploring Operation: 90-33=57, Resulting Numbers: [13, 19, 57]
Generated Node #2: [13, 19, 57] from Operation: 90-33=57
Current State: 89:[13, 19, 57], Operations: ['90-33=57']
Exploring Operation: 13+19=32, Resulting Numbers: [57, 32]
Generated Node #3: [57, 32] from Operation: 13+19=32
Current State: 89:[57, 32], Operations: ['90-33=57', '13+19=32']
Exploring Operation: 57+32=89, Resulting Numbers: [89]
89,89 equal: Goal Reached
| 4 |
[
80,
76,
96,
92
] | 39 | [
"80+76=156",
"96-92=4",
"156/4=39"
] | Current State: 39:[80, 76, 96, 92], Operations: []
Exploring Operation: 80+76=156, Resulting Numbers: [96, 92, 156]
Generated Node #2: [96, 92, 156] from Operation: 80+76=156
Current State: 39:[96, 92, 156], Operations: ['80+76=156']
Exploring Operation: 96-92=4, Resulting Numbers: [156, 4]
Generated Node #3: [156, 4] from Operation: 96-92=4
Current State: 39:[156, 4], Operations: ['80+76=156', '96-92=4']
Exploring Operation: 156/4=39, Resulting Numbers: [39]
39,39 equal: Goal Reached
| 4 |
[
15,
11,
17,
10
] | 57 | [
"15-11=4",
"10*4=40",
"17+40=57"
] | Current State: 57:[15, 11, 17, 10], Operations: []
Exploring Operation: 15-11=4, Resulting Numbers: [17, 10, 4]
Generated Node #2: [17, 10, 4] from Operation: 15-11=4
Current State: 57:[17, 10, 4], Operations: ['15-11=4']
Exploring Operation: 10*4=40, Resulting Numbers: [17, 40]
Generated Node #3: [17, 40] from Operation: 10*4=40
Current State: 57:[17, 40], Operations: ['15-11=4', '10*4=40']
Exploring Operation: 17+40=57, Resulting Numbers: [57]
57,57 equal: Goal Reached
| 4 |
[
63,
55,
30,
47
] | 25 | [
"63-55=8",
"47-30=17",
"8+17=25"
] | Current State: 25:[63, 55, 30, 47], Operations: []
Exploring Operation: 63-55=8, Resulting Numbers: [30, 47, 8]
Generated Node #2: [30, 47, 8] from Operation: 63-55=8
Current State: 25:[30, 47, 8], Operations: ['63-55=8']
Exploring Operation: 47-30=17, Resulting Numbers: [8, 17]
Generated Node #3: [8, 17] from Operation: 47-30=17
Current State: 25:[8, 17], Operations: ['63-55=8', '47-30=17']
Exploring Operation: 8+17=25, Resulting Numbers: [25]
25,25 equal: Goal Reached
| 4 |
[
70,
23,
17,
17
] | 47 | [
"70-23=47",
"17-17=0",
"47+0=47"
] | Current State: 47:[70, 23, 17, 17], Operations: []
Exploring Operation: 70-23=47, Resulting Numbers: [17, 17, 47]
Generated Node #2: [17, 17, 47] from Operation: 70-23=47
Current State: 47:[17, 17, 47], Operations: ['70-23=47']
Exploring Operation: 17-17=0, Resulting Numbers: [47, 0]
Generated Node #3: [47, 0] from Operation: 17-17=0
Current State: 47:[47, 0], Operations: ['70-23=47', '17-17=0']
Exploring Operation: 47+0=47, Resulting Numbers: [47]
47,47 equal: Goal Reached
| 4 |
[
30,
6,
90,
6
] | 39 | [
"30-6=24",
"90/6=15",
"24+15=39"
] | Current State: 39:[30, 6, 90, 6], Operations: []
Exploring Operation: 30-6=24, Resulting Numbers: [90, 24]
Generated Node #2: [90, 24] from Operation: 30-6=24
Current State: 39:[90, 24], Operations: ['30-6=24']
Exploring Operation: 90/6=15, Resulting Numbers: [24, 15]
Generated Node #3: [24, 15] from Operation: 90/6=15
Current State: 39:[24, 15], Operations: ['30-6=24', '90/6=15']
Exploring Operation: 24+15=39, Resulting Numbers: [39]
39,39 equal: Goal Reached
| 4 |
[
36,
52,
45,
10
] | 47 | [
"36-10=26",
"52/26=2",
"45+2=47"
] | Current State: 47:[36, 52, 45, 10], Operations: []
Exploring Operation: 36-10=26, Resulting Numbers: [52, 45, 26]
Generated Node #2: [52, 45, 26] from Operation: 36-10=26
Current State: 47:[52, 45, 26], Operations: ['36-10=26']
Exploring Operation: 52/26=2, Resulting Numbers: [45, 2]
Generated Node #3: [45, 2] from Operation: 52/26=2
Current State: 47:[45, 2], Operations: ['36-10=26', '52/26=2']
Exploring Operation: 45+2=47, Resulting Numbers: [47]
47,47 equal: Goal Reached
| 4 |
[
22,
49,
55,
61
] | 50 | [
"49+61=110",
"110/22=5",
"55-5=50"
] | Current State: 50:[22, 49, 55, 61], Operations: []
Exploring Operation: 49+61=110, Resulting Numbers: [22, 55, 110]
Generated Node #2: [22, 55, 110] from Operation: 49+61=110
Current State: 50:[22, 55, 110], Operations: ['49+61=110']
Exploring Operation: 110/22=5, Resulting Numbers: [55, 5]
Generated Node #3: [55, 5] from Operation: 110/22=5
Current State: 50:[55, 5], Operations: ['49+61=110', '110/22=5']
Exploring Operation: 55-5=50, Resulting Numbers: [50]
50,50 equal: Goal Reached
| 4 |
[
47,
63,
85,
89
] | 62 | [
"47*85=3995",
"3995-89=3906",
"3906/63=62"
] | Current State: 62:[47, 63, 85, 89], Operations: []
Exploring Operation: 47*85=3995, Resulting Numbers: [63, 89, 3995]
Generated Node #2: [63, 89, 3995] from Operation: 47*85=3995
Current State: 62:[63, 89, 3995], Operations: ['47*85=3995']
Exploring Operation: 3995-89=3906, Resulting Numbers: [63, 3906]
Generated Node #3: [63, 3906] from Operation: 3995-89=3906
Current State: 62:[63, 3906], Operations: ['47*85=3995', '3995-89=3906']
Exploring Operation: 3906/63=62, Resulting Numbers: [62]
62,62 equal: Goal Reached
| 4 |
[
3,
9,
14,
2
] | 42 | [
"9-3=6",
"14/2=7",
"6*7=42"
] | Current State: 42:[3, 9, 14, 2], Operations: []
Exploring Operation: 9-3=6, Resulting Numbers: [14, 2, 6]
Generated Node #2: [14, 2, 6] from Operation: 9-3=6
Current State: 42:[14, 2, 6], Operations: ['9-3=6']
Exploring Operation: 14/2=7, Resulting Numbers: [6, 7]
Generated Node #3: [6, 7] from Operation: 14/2=7
Current State: 42:[6, 7], Operations: ['9-3=6', '14/2=7']
Exploring Operation: 6*7=42, Resulting Numbers: [42]
42,42 equal: Goal Reached
| 4 |
[
15,
82,
72,
72
] | 77 | [
"82-15=67",
"72+72=144",
"144-67=77"
] | Current State: 77:[15, 82, 72, 72], Operations: []
Exploring Operation: 82-15=67, Resulting Numbers: [72, 72, 67]
Generated Node #2: [72, 72, 67] from Operation: 82-15=67
Current State: 77:[72, 72, 67], Operations: ['82-15=67']
Exploring Operation: 72+72=144, Resulting Numbers: [67, 144]
Generated Node #3: [67, 144] from Operation: 72+72=144
Current State: 77:[67, 144], Operations: ['82-15=67', '72+72=144']
Exploring Operation: 144-67=77, Resulting Numbers: [77]
77,77 equal: Goal Reached
| 4 |
[
54,
32,
28,
98
] | 38 | [
"54+98=152",
"32-28=4",
"152/4=38"
] | Current State: 38:[54, 32, 28, 98], Operations: []
Exploring Operation: 54+98=152, Resulting Numbers: [32, 28, 152]
Generated Node #2: [32, 28, 152] from Operation: 54+98=152
Current State: 38:[32, 28, 152], Operations: ['54+98=152']
Exploring Operation: 32-28=4, Resulting Numbers: [152, 4]
Generated Node #3: [152, 4] from Operation: 32-28=4
Current State: 38:[152, 4], Operations: ['54+98=152', '32-28=4']
Exploring Operation: 152/4=38, Resulting Numbers: [38]
38,38 equal: Goal Reached
| 4 |
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