nums listlengths 4 4 | target int64 10 100 | solution listlengths 3 3 | optimal_path stringlengths 282 529 | start_size int64 4 4 |
|---|---|---|---|---|
[
95,
6,
25,
94
] | 91 | [
"6+94=100",
"100/25=4",
"95-4=91"
] | Current State: 91:[95, 6, 25, 94], Operations: []
Exploring Operation: 6+94=100, Resulting Numbers: [95, 25, 100]
Generated Node #2: [95, 25, 100] from Operation: 6+94=100
Current State: 91:[95, 25, 100], Operations: ['6+94=100']
Exploring Operation: 100/25=4, Resulting Numbers: [95, 4]
Generated Node #3: [95, 4] from Operation: 100/25=4
Current State: 91:[95, 4], Operations: ['6+94=100', '100/25=4']
Exploring Operation: 95-4=91, Resulting Numbers: [91]
91,91 equal: Goal Reached
| 4 |
[
3,
8,
19,
29
] | 77 | [
"29-19=10",
"8*10=80",
"80-3=77"
] | Current State: 77:[3, 8, 19, 29], Operations: []
Exploring Operation: 29-19=10, Resulting Numbers: [3, 8, 10]
Generated Node #2: [3, 8, 10] from Operation: 29-19=10
Current State: 77:[3, 8, 10], Operations: ['29-19=10']
Exploring Operation: 8*10=80, Resulting Numbers: [3, 80]
Generated Node #3: [3, 80] from Operation: 8*10=80
Current State: 77:[3, 80], Operations: ['29-19=10', '8*10=80']
Exploring Operation: 80-3=77, Resulting Numbers: [77]
77,77 equal: Goal Reached
| 4 |
[
21,
25,
40,
61
] | 17 | [
"25-21=4",
"61-40=21",
"21-4=17"
] | Current State: 17:[21, 25, 40, 61], Operations: []
Exploring Operation: 25-21=4, Resulting Numbers: [40, 61, 4]
Generated Node #2: [40, 61, 4] from Operation: 25-21=4
Current State: 17:[40, 61, 4], Operations: ['25-21=4']
Exploring Operation: 61-40=21, Resulting Numbers: [4, 21]
Generated Node #3: [4, 21] from Operation: 61-40=21
Current State: 17:[4, 21], Operations: ['25-21=4', '61-40=21']
Exploring Operation: 21-4=17, Resulting Numbers: [17]
17,17 equal: Goal Reached
| 4 |
[
32,
75,
82,
45
] | 15 | [
"82-32=50",
"50-45=5",
"75/5=15"
] | Current State: 15:[32, 75, 82, 45], Operations: []
Exploring Operation: 82-32=50, Resulting Numbers: [75, 45, 50]
Generated Node #2: [75, 45, 50] from Operation: 82-32=50
Current State: 15:[75, 45, 50], Operations: ['82-32=50']
Exploring Operation: 50-45=5, Resulting Numbers: [75, 5]
Generated Node #3: [75, 5] from Operation: 50-45=5
Current State: 15:[75, 5], Operations: ['82-32=50', '50-45=5']
Exploring Operation: 75/5=15, Resulting Numbers: [15]
15,15 equal: Goal Reached
| 4 |
[
52,
38,
13,
48
] | 21 | [
"52-38=14",
"48-13=35",
"35-14=21"
] | Current State: 21:[52, 38, 13, 48], Operations: []
Exploring Operation: 52-38=14, Resulting Numbers: [13, 48, 14]
Generated Node #2: [13, 48, 14] from Operation: 52-38=14
Current State: 21:[13, 48, 14], Operations: ['52-38=14']
Exploring Operation: 48-13=35, Resulting Numbers: [14, 35]
Generated Node #3: [14, 35] from Operation: 48-13=35
Current State: 21:[14, 35], Operations: ['52-38=14', '48-13=35']
Exploring Operation: 35-14=21, Resulting Numbers: [21]
21,21 equal: Goal Reached
| 4 |
[
9,
3,
60,
92
] | 69 | [
"9+60=69",
"69/3=23",
"92-23=69"
] | Current State: 69:[9, 3, 60, 92], Operations: []
Exploring Operation: 9+60=69, Resulting Numbers: [3, 92, 69]
Generated Node #2: [3, 92, 69] from Operation: 9+60=69
Current State: 69:[3, 92, 69], Operations: ['9+60=69']
Exploring Operation: 69/3=23, Resulting Numbers: [92, 23]
Generated Node #3: [92, 23] from Operation: 69/3=23
Current State: 69:[92, 23], Operations: ['9+60=69', '69/3=23']
Exploring Operation: 92-23=69, Resulting Numbers: [69]
69,69 equal: Goal Reached
| 4 |
[
41,
36,
78,
28
] | 27 | [
"41+36=77",
"78-28=50",
"77-50=27"
] | Current State: 27:[41, 36, 78, 28], Operations: []
Exploring Operation: 41+36=77, Resulting Numbers: [78, 28, 77]
Generated Node #2: [78, 28, 77] from Operation: 41+36=77
Current State: 27:[78, 28, 77], Operations: ['41+36=77']
Exploring Operation: 78-28=50, Resulting Numbers: [77, 50]
Generated Node #3: [77, 50] from Operation: 78-28=50
Current State: 27:[77, 50], Operations: ['41+36=77', '78-28=50']
Exploring Operation: 77-50=27, Resulting Numbers: [27]
27,27 equal: Goal Reached
| 4 |
[
19,
8,
4,
10
] | 74 | [
"19*4=76",
"10-8=2",
"76-2=74"
] | Current State: 74:[19, 8, 4, 10], Operations: []
Exploring Operation: 19*4=76, Resulting Numbers: [8, 10, 76]
Generated Node #2: [8, 10, 76] from Operation: 19*4=76
Current State: 74:[8, 10, 76], Operations: ['19*4=76']
Exploring Operation: 10-8=2, Resulting Numbers: [76, 2]
Generated Node #3: [76, 2] from Operation: 10-8=2
Current State: 74:[76, 2], Operations: ['19*4=76', '10-8=2']
Exploring Operation: 76-2=74, Resulting Numbers: [74]
74,74 equal: Goal Reached
| 4 |
[
24,
14,
84,
44
] | 78 | [
"24+14=38",
"84-44=40",
"38+40=78"
] | Current State: 78:[24, 14, 84, 44], Operations: []
Exploring Operation: 24+14=38, Resulting Numbers: [84, 44, 38]
Generated Node #2: [84, 44, 38] from Operation: 24+14=38
Current State: 78:[84, 44, 38], Operations: ['24+14=38']
Exploring Operation: 84-44=40, Resulting Numbers: [38, 40]
Generated Node #3: [38, 40] from Operation: 84-44=40
Current State: 78:[38, 40], Operations: ['24+14=38', '84-44=40']
Exploring Operation: 38+40=78, Resulting Numbers: [78]
78,78 equal: Goal Reached
| 4 |
[
66,
70,
30,
6
] | 76 | [
"66-30=36",
"36/6=6",
"70+6=76"
] | Current State: 76:[66, 70, 30, 6], Operations: []
Exploring Operation: 66-30=36, Resulting Numbers: [70, 6, 36]
Generated Node #2: [70, 6, 36] from Operation: 66-30=36
Current State: 76:[70, 6, 36], Operations: ['66-30=36']
Exploring Operation: 36/6=6, Resulting Numbers: [70, 6]
Generated Node #3: [70, 6] from Operation: 36/6=6
Current State: 76:[70, 6], Operations: ['66-30=36', '36/6=6']
Exploring Operation: 70+6=76, Resulting Numbers: [76]
76,76 equal: Goal Reached
| 4 |
[
51,
63,
27,
56
] | 41 | [
"63-51=12",
"56-27=29",
"12+29=41"
] | Current State: 41:[51, 63, 27, 56], Operations: []
Exploring Operation: 63-51=12, Resulting Numbers: [27, 56, 12]
Generated Node #2: [27, 56, 12] from Operation: 63-51=12
Current State: 41:[27, 56, 12], Operations: ['63-51=12']
Exploring Operation: 56-27=29, Resulting Numbers: [12, 29]
Generated Node #3: [12, 29] from Operation: 56-27=29
Current State: 41:[12, 29], Operations: ['63-51=12', '56-27=29']
Exploring Operation: 12+29=41, Resulting Numbers: [41]
41,41 equal: Goal Reached
| 4 |
[
37,
60,
17,
27
] | 58 | [
"37+17=54",
"54/27=2",
"60-2=58"
] | Current State: 58:[37, 60, 17, 27], Operations: []
Exploring Operation: 37+17=54, Resulting Numbers: [60, 27, 54]
Generated Node #2: [60, 27, 54] from Operation: 37+17=54
Current State: 58:[60, 27, 54], Operations: ['37+17=54']
Exploring Operation: 54/27=2, Resulting Numbers: [60, 2]
Generated Node #3: [60, 2] from Operation: 54/27=2
Current State: 58:[60, 2], Operations: ['37+17=54', '54/27=2']
Exploring Operation: 60-2=58, Resulting Numbers: [58]
58,58 equal: Goal Reached
| 4 |
[
72,
29,
40,
72
] | 54 | [
"72*29=2088",
"72+2088=2160",
"2160/40=54"
] | Current State: 54:[72, 29, 40, 72], Operations: []
Exploring Operation: 72*29=2088, Resulting Numbers: [40, 2088]
Generated Node #2: [40, 2088] from Operation: 72*29=2088
Current State: 54:[40, 2088], Operations: ['72*29=2088']
Exploring Operation: 72+2088=2160, Resulting Numbers: [40, 2160]
Generated Node #3: [40, 2160] from Operation: 72+2088=2160
Current State: 54:[40, 2160], Operations: ['72*29=2088', '72+2088=2160']
Exploring Operation: 2160/40=54, Resulting Numbers: [54]
54,54 equal: Goal Reached
| 4 |
[
21,
3,
1,
77
] | 84 | [
"21/3=7",
"1*77=77",
"7+77=84"
] | Current State: 84:[21, 3, 1, 77], Operations: []
Exploring Operation: 21/3=7, Resulting Numbers: [1, 77, 7]
Generated Node #2: [1, 77, 7] from Operation: 21/3=7
Current State: 84:[1, 77, 7], Operations: ['21/3=7']
Exploring Operation: 1*77=77, Resulting Numbers: [7, 77]
Generated Node #3: [7, 77] from Operation: 1*77=77
Current State: 84:[7, 77], Operations: ['21/3=7', '1*77=77']
Exploring Operation: 7+77=84, Resulting Numbers: [84]
84,84 equal: Goal Reached
| 4 |
[
76,
33,
8,
2
] | 33 | [
"76-33=43",
"8+2=10",
"43-10=33"
] | Current State: 33:[76, 33, 8, 2], Operations: []
Exploring Operation: 76-33=43, Resulting Numbers: [8, 2, 43]
Generated Node #2: [8, 2, 43] from Operation: 76-33=43
Current State: 33:[8, 2, 43], Operations: ['76-33=43']
Exploring Operation: 8+2=10, Resulting Numbers: [43, 10]
Generated Node #3: [43, 10] from Operation: 8+2=10
Current State: 33:[43, 10], Operations: ['76-33=43', '8+2=10']
Exploring Operation: 43-10=33, Resulting Numbers: [33]
33,33 equal: Goal Reached
| 4 |
[
86,
9,
6,
84
] | 48 | [
"86*6=516",
"516-84=432",
"432/9=48"
] | Current State: 48:[86, 9, 6, 84], Operations: []
Exploring Operation: 86*6=516, Resulting Numbers: [9, 84, 516]
Generated Node #2: [9, 84, 516] from Operation: 86*6=516
Current State: 48:[9, 84, 516], Operations: ['86*6=516']
Exploring Operation: 516-84=432, Resulting Numbers: [9, 432]
Generated Node #3: [9, 432] from Operation: 516-84=432
Current State: 48:[9, 432], Operations: ['86*6=516', '516-84=432']
Exploring Operation: 432/9=48, Resulting Numbers: [48]
48,48 equal: Goal Reached
| 4 |
[
2,
14,
92,
47
] | 38 | [
"14/2=7",
"92-47=45",
"45-7=38"
] | Current State: 38:[2, 14, 92, 47], Operations: []
Exploring Operation: 14/2=7, Resulting Numbers: [92, 47, 7]
Generated Node #2: [92, 47, 7] from Operation: 14/2=7
Current State: 38:[92, 47, 7], Operations: ['14/2=7']
Exploring Operation: 92-47=45, Resulting Numbers: [7, 45]
Generated Node #3: [7, 45] from Operation: 92-47=45
Current State: 38:[7, 45], Operations: ['14/2=7', '92-47=45']
Exploring Operation: 45-7=38, Resulting Numbers: [38]
38,38 equal: Goal Reached
| 4 |
[
10,
7,
6,
79
] | 12 | [
"10*6=60",
"79-7=72",
"72-60=12"
] | Current State: 12:[10, 7, 6, 79], Operations: []
Exploring Operation: 10*6=60, Resulting Numbers: [7, 79, 60]
Generated Node #2: [7, 79, 60] from Operation: 10*6=60
Current State: 12:[7, 79, 60], Operations: ['10*6=60']
Exploring Operation: 79-7=72, Resulting Numbers: [60, 72]
Generated Node #3: [60, 72] from Operation: 79-7=72
Current State: 12:[60, 72], Operations: ['10*6=60', '79-7=72']
Exploring Operation: 72-60=12, Resulting Numbers: [12]
12,12 equal: Goal Reached
| 4 |
[
76,
55,
15,
8
] | 99 | [
"76-55=21",
"15*8=120",
"120-21=99"
] | Current State: 99:[76, 55, 15, 8], Operations: []
Exploring Operation: 76-55=21, Resulting Numbers: [15, 8, 21]
Generated Node #2: [15, 8, 21] from Operation: 76-55=21
Current State: 99:[15, 8, 21], Operations: ['76-55=21']
Exploring Operation: 15*8=120, Resulting Numbers: [21, 120]
Generated Node #3: [21, 120] from Operation: 15*8=120
Current State: 99:[21, 120], Operations: ['76-55=21', '15*8=120']
Exploring Operation: 120-21=99, Resulting Numbers: [99]
99,99 equal: Goal Reached
| 4 |
[
36,
30,
88,
24
] | 86 | [
"36+24=60",
"60/30=2",
"88-2=86"
] | Current State: 86:[36, 30, 88, 24], Operations: []
Exploring Operation: 36+24=60, Resulting Numbers: [30, 88, 60]
Generated Node #2: [30, 88, 60] from Operation: 36+24=60
Current State: 86:[30, 88, 60], Operations: ['36+24=60']
Exploring Operation: 60/30=2, Resulting Numbers: [88, 2]
Generated Node #3: [88, 2] from Operation: 60/30=2
Current State: 86:[88, 2], Operations: ['36+24=60', '60/30=2']
Exploring Operation: 88-2=86, Resulting Numbers: [86]
86,86 equal: Goal Reached
| 4 |
[
78,
79,
21,
59
] | 39 | [
"79-78=1",
"59-21=38",
"1+38=39"
] | Current State: 39:[78, 79, 21, 59], Operations: []
Exploring Operation: 79-78=1, Resulting Numbers: [21, 59, 1]
Generated Node #2: [21, 59, 1] from Operation: 79-78=1
Current State: 39:[21, 59, 1], Operations: ['79-78=1']
Exploring Operation: 59-21=38, Resulting Numbers: [1, 38]
Generated Node #3: [1, 38] from Operation: 59-21=38
Current State: 39:[1, 38], Operations: ['79-78=1', '59-21=38']
Exploring Operation: 1+38=39, Resulting Numbers: [39]
39,39 equal: Goal Reached
| 4 |
[
87,
6,
21,
24
] | 26 | [
"87*6=522",
"24+522=546",
"546/21=26"
] | Current State: 26:[87, 6, 21, 24], Operations: []
Exploring Operation: 87*6=522, Resulting Numbers: [21, 24, 522]
Generated Node #2: [21, 24, 522] from Operation: 87*6=522
Current State: 26:[21, 24, 522], Operations: ['87*6=522']
Exploring Operation: 24+522=546, Resulting Numbers: [21, 546]
Generated Node #3: [21, 546] from Operation: 24+522=546
Current State: 26:[21, 546], Operations: ['87*6=522', '24+522=546']
Exploring Operation: 546/21=26, Resulting Numbers: [26]
26,26 equal: Goal Reached
| 4 |
[
78,
14,
21,
31
] | 83 | [
"78*14=1092",
"1092/21=52",
"31+52=83"
] | Current State: 83:[78, 14, 21, 31], Operations: []
Exploring Operation: 78*14=1092, Resulting Numbers: [21, 31, 1092]
Generated Node #2: [21, 31, 1092] from Operation: 78*14=1092
Current State: 83:[21, 31, 1092], Operations: ['78*14=1092']
Exploring Operation: 1092/21=52, Resulting Numbers: [31, 52]
Generated Node #3: [31, 52] from Operation: 1092/21=52
Current State: 83:[31, 52], Operations: ['78*14=1092', '1092/21=52']
Exploring Operation: 31+52=83, Resulting Numbers: [83]
83,83 equal: Goal Reached
| 4 |
[
45,
80,
4,
46
] | 91 | [
"80-46=34",
"4*34=136",
"136-45=91"
] | Current State: 91:[45, 80, 4, 46], Operations: []
Exploring Operation: 80-46=34, Resulting Numbers: [45, 4, 34]
Generated Node #2: [45, 4, 34] from Operation: 80-46=34
Current State: 91:[45, 4, 34], Operations: ['80-46=34']
Exploring Operation: 4*34=136, Resulting Numbers: [45, 136]
Generated Node #3: [45, 136] from Operation: 4*34=136
Current State: 91:[45, 136], Operations: ['80-46=34', '4*34=136']
Exploring Operation: 136-45=91, Resulting Numbers: [91]
91,91 equal: Goal Reached
| 4 |
[
24,
83,
51,
86
] | 59 | [
"86-83=3",
"24/3=8",
"51+8=59"
] | Current State: 59:[24, 83, 51, 86], Operations: []
Exploring Operation: 86-83=3, Resulting Numbers: [24, 51, 3]
Generated Node #2: [24, 51, 3] from Operation: 86-83=3
Current State: 59:[24, 51, 3], Operations: ['86-83=3']
Exploring Operation: 24/3=8, Resulting Numbers: [51, 8]
Generated Node #3: [51, 8] from Operation: 24/3=8
Current State: 59:[51, 8], Operations: ['86-83=3', '24/3=8']
Exploring Operation: 51+8=59, Resulting Numbers: [59]
59,59 equal: Goal Reached
| 4 |
[
48,
37,
28,
50
] | 89 | [
"48-37=11",
"28+50=78",
"11+78=89"
] | Current State: 89:[48, 37, 28, 50], Operations: []
Exploring Operation: 48-37=11, Resulting Numbers: [28, 50, 11]
Generated Node #2: [28, 50, 11] from Operation: 48-37=11
Current State: 89:[28, 50, 11], Operations: ['48-37=11']
Exploring Operation: 28+50=78, Resulting Numbers: [11, 78]
Generated Node #3: [11, 78] from Operation: 28+50=78
Current State: 89:[11, 78], Operations: ['48-37=11', '28+50=78']
Exploring Operation: 11+78=89, Resulting Numbers: [89]
89,89 equal: Goal Reached
| 4 |
[
31,
24,
60,
15
] | 37 | [
"24*15=360",
"360/60=6",
"31+6=37"
] | Current State: 37:[31, 24, 60, 15], Operations: []
Exploring Operation: 24*15=360, Resulting Numbers: [31, 60, 360]
Generated Node #2: [31, 60, 360] from Operation: 24*15=360
Current State: 37:[31, 60, 360], Operations: ['24*15=360']
Exploring Operation: 360/60=6, Resulting Numbers: [31, 6]
Generated Node #3: [31, 6] from Operation: 360/60=6
Current State: 37:[31, 6], Operations: ['24*15=360', '360/60=6']
Exploring Operation: 31+6=37, Resulting Numbers: [37]
37,37 equal: Goal Reached
| 4 |
[
88,
10,
42,
55
] | 58 | [
"88*10=880",
"880/55=16",
"42+16=58"
] | Current State: 58:[88, 10, 42, 55], Operations: []
Exploring Operation: 88*10=880, Resulting Numbers: [42, 55, 880]
Generated Node #2: [42, 55, 880] from Operation: 88*10=880
Current State: 58:[42, 55, 880], Operations: ['88*10=880']
Exploring Operation: 880/55=16, Resulting Numbers: [42, 16]
Generated Node #3: [42, 16] from Operation: 880/55=16
Current State: 58:[42, 16], Operations: ['88*10=880', '880/55=16']
Exploring Operation: 42+16=58, Resulting Numbers: [58]
58,58 equal: Goal Reached
| 4 |
[
26,
62,
95,
93
] | 100 | [
"26+62=88",
"95+93=188",
"188-88=100"
] | Current State: 100:[26, 62, 95, 93], Operations: []
Exploring Operation: 26+62=88, Resulting Numbers: [95, 93, 88]
Generated Node #2: [95, 93, 88] from Operation: 26+62=88
Current State: 100:[95, 93, 88], Operations: ['26+62=88']
Exploring Operation: 95+93=188, Resulting Numbers: [88, 188]
Generated Node #3: [88, 188] from Operation: 95+93=188
Current State: 100:[88, 188], Operations: ['26+62=88', '95+93=188']
Exploring Operation: 188-88=100, Resulting Numbers: [100]
100,100 equal: Goal Reached
| 4 |
[
66,
9,
64,
11
] | 79 | [
"66/11=6",
"9+64=73",
"6+73=79"
] | Current State: 79:[66, 9, 64, 11], Operations: []
Exploring Operation: 66/11=6, Resulting Numbers: [9, 64, 6]
Generated Node #2: [9, 64, 6] from Operation: 66/11=6
Current State: 79:[9, 64, 6], Operations: ['66/11=6']
Exploring Operation: 9+64=73, Resulting Numbers: [6, 73]
Generated Node #3: [6, 73] from Operation: 9+64=73
Current State: 79:[6, 73], Operations: ['66/11=6', '9+64=73']
Exploring Operation: 6+73=79, Resulting Numbers: [79]
79,79 equal: Goal Reached
| 4 |
[
69,
70,
34,
1
] | 72 | [
"69-1=68",
"68/34=2",
"70+2=72"
] | Current State: 72:[69, 70, 34, 1], Operations: []
Exploring Operation: 69-1=68, Resulting Numbers: [70, 34, 68]
Generated Node #2: [70, 34, 68] from Operation: 69-1=68
Current State: 72:[70, 34, 68], Operations: ['69-1=68']
Exploring Operation: 68/34=2, Resulting Numbers: [70, 2]
Generated Node #3: [70, 2] from Operation: 68/34=2
Current State: 72:[70, 2], Operations: ['69-1=68', '68/34=2']
Exploring Operation: 70+2=72, Resulting Numbers: [72]
72,72 equal: Goal Reached
| 4 |
[
65,
42,
94,
48
] | 69 | [
"65-42=23",
"94-48=46",
"23+46=69"
] | Current State: 69:[65, 42, 94, 48], Operations: []
Exploring Operation: 65-42=23, Resulting Numbers: [94, 48, 23]
Generated Node #2: [94, 48, 23] from Operation: 65-42=23
Current State: 69:[94, 48, 23], Operations: ['65-42=23']
Exploring Operation: 94-48=46, Resulting Numbers: [23, 46]
Generated Node #3: [23, 46] from Operation: 94-48=46
Current State: 69:[23, 46], Operations: ['65-42=23', '94-48=46']
Exploring Operation: 23+46=69, Resulting Numbers: [69]
69,69 equal: Goal Reached
| 4 |
[
51,
60,
60,
12
] | 62 | [
"51+12=63",
"60/60=1",
"63-1=62"
] | Current State: 62:[51, 60, 60, 12], Operations: []
Exploring Operation: 51+12=63, Resulting Numbers: [60, 60, 63]
Generated Node #2: [60, 60, 63] from Operation: 51+12=63
Current State: 62:[60, 60, 63], Operations: ['51+12=63']
Exploring Operation: 60/60=1, Resulting Numbers: [63, 1]
Generated Node #3: [63, 1] from Operation: 60/60=1
Current State: 62:[63, 1], Operations: ['51+12=63', '60/60=1']
Exploring Operation: 63-1=62, Resulting Numbers: [62]
62,62 equal: Goal Reached
| 4 |
[
73,
40,
22,
17
] | 37 | [
"73-22=51",
"51/17=3",
"40-3=37"
] | Current State: 37:[73, 40, 22, 17], Operations: []
Exploring Operation: 73-22=51, Resulting Numbers: [40, 17, 51]
Generated Node #2: [40, 17, 51] from Operation: 73-22=51
Current State: 37:[40, 17, 51], Operations: ['73-22=51']
Exploring Operation: 51/17=3, Resulting Numbers: [40, 3]
Generated Node #3: [40, 3] from Operation: 51/17=3
Current State: 37:[40, 3], Operations: ['73-22=51', '51/17=3']
Exploring Operation: 40-3=37, Resulting Numbers: [37]
37,37 equal: Goal Reached
| 4 |
[
63,
66,
12,
23
] | 57 | [
"66-63=3",
"23*3=69",
"69-12=57"
] | Current State: 57:[63, 66, 12, 23], Operations: []
Exploring Operation: 66-63=3, Resulting Numbers: [12, 23, 3]
Generated Node #2: [12, 23, 3] from Operation: 66-63=3
Current State: 57:[12, 23, 3], Operations: ['66-63=3']
Exploring Operation: 23*3=69, Resulting Numbers: [12, 69]
Generated Node #3: [12, 69] from Operation: 23*3=69
Current State: 57:[12, 69], Operations: ['66-63=3', '23*3=69']
Exploring Operation: 69-12=57, Resulting Numbers: [57]
57,57 equal: Goal Reached
| 4 |
[
32,
38,
2,
1
] | 10 | [
"38-32=6",
"6-1=5",
"2*5=10"
] | Current State: 10:[32, 38, 2, 1], Operations: []
Exploring Operation: 38-32=6, Resulting Numbers: [2, 1, 6]
Generated Node #2: [2, 1, 6] from Operation: 38-32=6
Current State: 10:[2, 1, 6], Operations: ['38-32=6']
Exploring Operation: 6-1=5, Resulting Numbers: [2, 5]
Generated Node #3: [2, 5] from Operation: 6-1=5
Current State: 10:[2, 5], Operations: ['38-32=6', '6-1=5']
Exploring Operation: 2*5=10, Resulting Numbers: [10]
10,10 equal: Goal Reached
| 4 |
[
83,
34,
2,
97
] | 31 | [
"97-83=14",
"34/2=17",
"14+17=31"
] | Current State: 31:[83, 34, 2, 97], Operations: []
Exploring Operation: 97-83=14, Resulting Numbers: [34, 2, 14]
Generated Node #2: [34, 2, 14] from Operation: 97-83=14
Current State: 31:[34, 2, 14], Operations: ['97-83=14']
Exploring Operation: 34/2=17, Resulting Numbers: [14, 17]
Generated Node #3: [14, 17] from Operation: 34/2=17
Current State: 31:[14, 17], Operations: ['97-83=14', '34/2=17']
Exploring Operation: 14+17=31, Resulting Numbers: [31]
31,31 equal: Goal Reached
| 4 |
[
58,
18,
49,
29
] | 56 | [
"58+18=76",
"49-29=20",
"76-20=56"
] | Current State: 56:[58, 18, 49, 29], Operations: []
Exploring Operation: 58+18=76, Resulting Numbers: [49, 29, 76]
Generated Node #2: [49, 29, 76] from Operation: 58+18=76
Current State: 56:[49, 29, 76], Operations: ['58+18=76']
Exploring Operation: 49-29=20, Resulting Numbers: [76, 20]
Generated Node #3: [76, 20] from Operation: 49-29=20
Current State: 56:[76, 20], Operations: ['58+18=76', '49-29=20']
Exploring Operation: 76-20=56, Resulting Numbers: [56]
56,56 equal: Goal Reached
| 4 |
[
22,
19,
56,
83
] | 85 | [
"22-19=3",
"56*3=168",
"168-83=85"
] | Current State: 85:[22, 19, 56, 83], Operations: []
Exploring Operation: 22-19=3, Resulting Numbers: [56, 83, 3]
Generated Node #2: [56, 83, 3] from Operation: 22-19=3
Current State: 85:[56, 83, 3], Operations: ['22-19=3']
Exploring Operation: 56*3=168, Resulting Numbers: [83, 168]
Generated Node #3: [83, 168] from Operation: 56*3=168
Current State: 85:[83, 168], Operations: ['22-19=3', '56*3=168']
Exploring Operation: 168-83=85, Resulting Numbers: [85]
85,85 equal: Goal Reached
| 4 |
[
9,
7,
33,
83
] | 77 | [
"9+33=42",
"42/7=6",
"83-6=77"
] | Current State: 77:[9, 7, 33, 83], Operations: []
Exploring Operation: 9+33=42, Resulting Numbers: [7, 83, 42]
Generated Node #2: [7, 83, 42] from Operation: 9+33=42
Current State: 77:[7, 83, 42], Operations: ['9+33=42']
Exploring Operation: 42/7=6, Resulting Numbers: [83, 6]
Generated Node #3: [83, 6] from Operation: 42/7=6
Current State: 77:[83, 6], Operations: ['9+33=42', '42/7=6']
Exploring Operation: 83-6=77, Resulting Numbers: [77]
77,77 equal: Goal Reached
| 4 |
[
19,
35,
48,
17
] | 59 | [
"19-17=2",
"48/2=24",
"35+24=59"
] | Current State: 59:[19, 35, 48, 17], Operations: []
Exploring Operation: 19-17=2, Resulting Numbers: [35, 48, 2]
Generated Node #2: [35, 48, 2] from Operation: 19-17=2
Current State: 59:[35, 48, 2], Operations: ['19-17=2']
Exploring Operation: 48/2=24, Resulting Numbers: [35, 24]
Generated Node #3: [35, 24] from Operation: 48/2=24
Current State: 59:[35, 24], Operations: ['19-17=2', '48/2=24']
Exploring Operation: 35+24=59, Resulting Numbers: [59]
59,59 equal: Goal Reached
| 4 |
[
41,
11,
68,
61
] | 23 | [
"41-11=30",
"68-61=7",
"30-7=23"
] | Current State: 23:[41, 11, 68, 61], Operations: []
Exploring Operation: 41-11=30, Resulting Numbers: [68, 61, 30]
Generated Node #2: [68, 61, 30] from Operation: 41-11=30
Current State: 23:[68, 61, 30], Operations: ['41-11=30']
Exploring Operation: 68-61=7, Resulting Numbers: [30, 7]
Generated Node #3: [30, 7] from Operation: 68-61=7
Current State: 23:[30, 7], Operations: ['41-11=30', '68-61=7']
Exploring Operation: 30-7=23, Resulting Numbers: [23]
23,23 equal: Goal Reached
| 4 |
[
22,
19,
25,
89
] | 32 | [
"25-22=3",
"19*3=57",
"89-57=32"
] | Current State: 32:[22, 19, 25, 89], Operations: []
Exploring Operation: 25-22=3, Resulting Numbers: [19, 89, 3]
Generated Node #2: [19, 89, 3] from Operation: 25-22=3
Current State: 32:[19, 89, 3], Operations: ['25-22=3']
Exploring Operation: 19*3=57, Resulting Numbers: [89, 57]
Generated Node #3: [89, 57] from Operation: 19*3=57
Current State: 32:[89, 57], Operations: ['25-22=3', '19*3=57']
Exploring Operation: 89-57=32, Resulting Numbers: [32]
32,32 equal: Goal Reached
| 4 |
[
2,
7,
84,
10
] | 71 | [
"2*10=20",
"7+84=91",
"91-20=71"
] | Current State: 71:[2, 7, 84, 10], Operations: []
Exploring Operation: 2*10=20, Resulting Numbers: [7, 84, 20]
Generated Node #2: [7, 84, 20] from Operation: 2*10=20
Current State: 71:[7, 84, 20], Operations: ['2*10=20']
Exploring Operation: 7+84=91, Resulting Numbers: [20, 91]
Generated Node #3: [20, 91] from Operation: 7+84=91
Current State: 71:[20, 91], Operations: ['2*10=20', '7+84=91']
Exploring Operation: 91-20=71, Resulting Numbers: [71]
71,71 equal: Goal Reached
| 4 |
[
56,
9,
70,
6
] | 75 | [
"70-56=14",
"6*14=84",
"84-9=75"
] | Current State: 75:[56, 9, 70, 6], Operations: []
Exploring Operation: 70-56=14, Resulting Numbers: [9, 6, 14]
Generated Node #2: [9, 6, 14] from Operation: 70-56=14
Current State: 75:[9, 6, 14], Operations: ['70-56=14']
Exploring Operation: 6*14=84, Resulting Numbers: [9, 84]
Generated Node #3: [9, 84] from Operation: 6*14=84
Current State: 75:[9, 84], Operations: ['70-56=14', '6*14=84']
Exploring Operation: 84-9=75, Resulting Numbers: [75]
75,75 equal: Goal Reached
| 4 |
[
78,
64,
55,
19
] | 57 | [
"78+55=133",
"133/19=7",
"64-7=57"
] | Current State: 57:[78, 64, 55, 19], Operations: []
Exploring Operation: 78+55=133, Resulting Numbers: [64, 19, 133]
Generated Node #2: [64, 19, 133] from Operation: 78+55=133
Current State: 57:[64, 19, 133], Operations: ['78+55=133']
Exploring Operation: 133/19=7, Resulting Numbers: [64, 7]
Generated Node #3: [64, 7] from Operation: 133/19=7
Current State: 57:[64, 7], Operations: ['78+55=133', '133/19=7']
Exploring Operation: 64-7=57, Resulting Numbers: [57]
57,57 equal: Goal Reached
| 4 |
[
3,
8,
9,
47
] | 10 | [
"8+9=17",
"47-17=30",
"30/3=10"
] | Current State: 10:[3, 8, 9, 47], Operations: []
Exploring Operation: 8+9=17, Resulting Numbers: [3, 47, 17]
Generated Node #2: [3, 47, 17] from Operation: 8+9=17
Current State: 10:[3, 47, 17], Operations: ['8+9=17']
Exploring Operation: 47-17=30, Resulting Numbers: [3, 30]
Generated Node #3: [3, 30] from Operation: 47-17=30
Current State: 10:[3, 30], Operations: ['8+9=17', '47-17=30']
Exploring Operation: 30/3=10, Resulting Numbers: [10]
10,10 equal: Goal Reached
| 4 |
[
29,
7,
29,
29
] | 37 | [
"29+7=36",
"29/29=1",
"36+1=37"
] | Current State: 37:[29, 7, 29, 29], Operations: []
Exploring Operation: 29+7=36, Resulting Numbers: [36]
36,37 equal: Goal Reached
Exploring Operation: 29/29=1, Resulting Numbers: [36, 1]
Generated Node #2: [36, 1] from Operation: 29/29=1
Current State: 37:[36, 1], Operations: ['29/29=1']
Exploring Operation: 36+1=37, Resulting Numbers: [37]
37,37 equal: Goal Reached
| 4 |
[
42,
70,
3,
20
] | 25 | [
"42/3=14",
"70/14=5",
"20+5=25"
] | Current State: 25:[42, 70, 3, 20], Operations: []
Exploring Operation: 42/3=14, Resulting Numbers: [70, 20, 14]
Generated Node #2: [70, 20, 14] from Operation: 42/3=14
Current State: 25:[70, 20, 14], Operations: ['42/3=14']
Exploring Operation: 70/14=5, Resulting Numbers: [20, 5]
Generated Node #3: [20, 5] from Operation: 70/14=5
Current State: 25:[20, 5], Operations: ['42/3=14', '70/14=5']
Exploring Operation: 20+5=25, Resulting Numbers: [25]
25,25 equal: Goal Reached
| 4 |
[
43,
48,
30,
1
] | 34 | [
"48-43=5",
"30-1=29",
"5+29=34"
] | Current State: 34:[43, 48, 30, 1], Operations: []
Exploring Operation: 48-43=5, Resulting Numbers: [30, 1, 5]
Generated Node #2: [30, 1, 5] from Operation: 48-43=5
Current State: 34:[30, 1, 5], Operations: ['48-43=5']
Exploring Operation: 30-1=29, Resulting Numbers: [5, 29]
Generated Node #3: [5, 29] from Operation: 30-1=29
Current State: 34:[5, 29], Operations: ['48-43=5', '30-1=29']
Exploring Operation: 5+29=34, Resulting Numbers: [34]
34,34 equal: Goal Reached
| 4 |
[
92,
14,
43,
92
] | 28 | [
"92/92=1",
"43-14=29",
"29-1=28"
] | Current State: 28:[92, 14, 43, 92], Operations: []
Exploring Operation: 92/92=1, Resulting Numbers: [14, 43, 1]
Generated Node #2: [14, 43, 1] from Operation: 92/92=1
Current State: 28:[14, 43, 1], Operations: ['92/92=1']
Exploring Operation: 43-14=29, Resulting Numbers: [1, 29]
Generated Node #3: [1, 29] from Operation: 43-14=29
Current State: 28:[1, 29], Operations: ['92/92=1', '43-14=29']
Exploring Operation: 29-1=28, Resulting Numbers: [28]
28,28 equal: Goal Reached
| 4 |
[
86,
61,
96,
90
] | 85 | [
"90-86=4",
"96/4=24",
"61+24=85"
] | Current State: 85:[86, 61, 96, 90], Operations: []
Exploring Operation: 90-86=4, Resulting Numbers: [61, 96, 4]
Generated Node #2: [61, 96, 4] from Operation: 90-86=4
Current State: 85:[61, 96, 4], Operations: ['90-86=4']
Exploring Operation: 96/4=24, Resulting Numbers: [61, 24]
Generated Node #3: [61, 24] from Operation: 96/4=24
Current State: 85:[61, 24], Operations: ['90-86=4', '96/4=24']
Exploring Operation: 61+24=85, Resulting Numbers: [85]
85,85 equal: Goal Reached
| 4 |
[
9,
95,
70,
47
] | 28 | [
"47-9=38",
"70*38=2660",
"2660/95=28"
] | Current State: 28:[9, 95, 70, 47], Operations: []
Exploring Operation: 47-9=38, Resulting Numbers: [95, 70, 38]
Generated Node #2: [95, 70, 38] from Operation: 47-9=38
Current State: 28:[95, 70, 38], Operations: ['47-9=38']
Exploring Operation: 70*38=2660, Resulting Numbers: [95, 2660]
Generated Node #3: [95, 2660] from Operation: 70*38=2660
Current State: 28:[95, 2660], Operations: ['47-9=38', '70*38=2660']
Exploring Operation: 2660/95=28, Resulting Numbers: [28]
28,28 equal: Goal Reached
| 4 |
[
53,
80,
55,
34
] | 57 | [
"55-53=2",
"80+34=114",
"114/2=57"
] | Current State: 57:[53, 80, 55, 34], Operations: []
Exploring Operation: 55-53=2, Resulting Numbers: [80, 34, 2]
Generated Node #2: [80, 34, 2] from Operation: 55-53=2
Current State: 57:[80, 34, 2], Operations: ['55-53=2']
Exploring Operation: 80+34=114, Resulting Numbers: [2, 114]
Generated Node #3: [2, 114] from Operation: 80+34=114
Current State: 57:[2, 114], Operations: ['55-53=2', '80+34=114']
Exploring Operation: 114/2=57, Resulting Numbers: [57]
57,57 equal: Goal Reached
| 4 |
[
2,
92,
70,
13
] | 68 | [
"92+70=162",
"162/2=81",
"81-13=68"
] | Current State: 68:[2, 92, 70, 13], Operations: []
Exploring Operation: 92+70=162, Resulting Numbers: [2, 13, 162]
Generated Node #2: [2, 13, 162] from Operation: 92+70=162
Current State: 68:[2, 13, 162], Operations: ['92+70=162']
Exploring Operation: 162/2=81, Resulting Numbers: [13, 81]
Generated Node #3: [13, 81] from Operation: 162/2=81
Current State: 68:[13, 81], Operations: ['92+70=162', '162/2=81']
Exploring Operation: 81-13=68, Resulting Numbers: [68]
68,68 equal: Goal Reached
| 4 |
[
16,
3,
14,
63
] | 23 | [
"16-14=2",
"63/3=21",
"2+21=23"
] | Current State: 23:[16, 3, 14, 63], Operations: []
Exploring Operation: 16-14=2, Resulting Numbers: [3, 63, 2]
Generated Node #2: [3, 63, 2] from Operation: 16-14=2
Current State: 23:[3, 63, 2], Operations: ['16-14=2']
Exploring Operation: 63/3=21, Resulting Numbers: [2, 21]
Generated Node #3: [2, 21] from Operation: 63/3=21
Current State: 23:[2, 21], Operations: ['16-14=2', '63/3=21']
Exploring Operation: 2+21=23, Resulting Numbers: [23]
23,23 equal: Goal Reached
| 4 |
[
21,
8,
3,
71
] | 14 | [
"21+8=29",
"71-29=42",
"42/3=14"
] | Current State: 14:[21, 8, 3, 71], Operations: []
Exploring Operation: 21+8=29, Resulting Numbers: [3, 71, 29]
Generated Node #2: [3, 71, 29] from Operation: 21+8=29
Current State: 14:[3, 71, 29], Operations: ['21+8=29']
Exploring Operation: 71-29=42, Resulting Numbers: [3, 42]
Generated Node #3: [3, 42] from Operation: 71-29=42
Current State: 14:[3, 42], Operations: ['21+8=29', '71-29=42']
Exploring Operation: 42/3=14, Resulting Numbers: [14]
14,14 equal: Goal Reached
| 4 |
[
4,
97,
26,
29
] | 98 | [
"4+97=101",
"29-26=3",
"101-3=98"
] | Current State: 98:[4, 97, 26, 29], Operations: []
Exploring Operation: 4+97=101, Resulting Numbers: [26, 29, 101]
Generated Node #2: [26, 29, 101] from Operation: 4+97=101
Current State: 98:[26, 29, 101], Operations: ['4+97=101']
Exploring Operation: 29-26=3, Resulting Numbers: [101, 3]
Generated Node #3: [101, 3] from Operation: 29-26=3
Current State: 98:[101, 3], Operations: ['4+97=101', '29-26=3']
Exploring Operation: 101-3=98, Resulting Numbers: [98]
98,98 equal: Goal Reached
| 4 |
[
91,
81,
78,
5
] | 80 | [
"91-81=10",
"10/5=2",
"78+2=80"
] | Current State: 80:[91, 81, 78, 5], Operations: []
Exploring Operation: 91-81=10, Resulting Numbers: [78, 5, 10]
Generated Node #2: [78, 5, 10] from Operation: 91-81=10
Current State: 80:[78, 5, 10], Operations: ['91-81=10']
Exploring Operation: 10/5=2, Resulting Numbers: [78, 2]
Generated Node #3: [78, 2] from Operation: 10/5=2
Current State: 80:[78, 2], Operations: ['91-81=10', '10/5=2']
Exploring Operation: 78+2=80, Resulting Numbers: [80]
80,80 equal: Goal Reached
| 4 |
[
31,
11,
1,
73
] | 54 | [
"31-11=20",
"1+73=74",
"74-20=54"
] | Current State: 54:[31, 11, 1, 73], Operations: []
Exploring Operation: 31-11=20, Resulting Numbers: [1, 73, 20]
Generated Node #2: [1, 73, 20] from Operation: 31-11=20
Current State: 54:[1, 73, 20], Operations: ['31-11=20']
Exploring Operation: 1+73=74, Resulting Numbers: [20, 74]
Generated Node #3: [20, 74] from Operation: 1+73=74
Current State: 54:[20, 74], Operations: ['31-11=20', '1+73=74']
Exploring Operation: 74-20=54, Resulting Numbers: [54]
54,54 equal: Goal Reached
| 4 |
[
75,
27,
96,
41
] | 39 | [
"75-27=48",
"96/48=2",
"41-2=39"
] | Current State: 39:[75, 27, 96, 41], Operations: []
Exploring Operation: 75-27=48, Resulting Numbers: [96, 41, 48]
Generated Node #2: [96, 41, 48] from Operation: 75-27=48
Current State: 39:[96, 41, 48], Operations: ['75-27=48']
Exploring Operation: 96/48=2, Resulting Numbers: [41, 2]
Generated Node #3: [41, 2] from Operation: 96/48=2
Current State: 39:[41, 2], Operations: ['75-27=48', '96/48=2']
Exploring Operation: 41-2=39, Resulting Numbers: [39]
39,39 equal: Goal Reached
| 4 |
[
92,
82,
12,
74
] | 72 | [
"92-82=10",
"74-12=62",
"10+62=72"
] | Current State: 72:[92, 82, 12, 74], Operations: []
Exploring Operation: 92-82=10, Resulting Numbers: [12, 74, 10]
Generated Node #2: [12, 74, 10] from Operation: 92-82=10
Current State: 72:[12, 74, 10], Operations: ['92-82=10']
Exploring Operation: 74-12=62, Resulting Numbers: [10, 62]
Generated Node #3: [10, 62] from Operation: 74-12=62
Current State: 72:[10, 62], Operations: ['92-82=10', '74-12=62']
Exploring Operation: 10+62=72, Resulting Numbers: [72]
72,72 equal: Goal Reached
| 4 |
[
70,
88,
88,
17
] | 52 | [
"70-17=53",
"88/88=1",
"53-1=52"
] | Current State: 52:[70, 88, 88, 17], Operations: []
Exploring Operation: 70-17=53, Resulting Numbers: [88, 88, 53]
Generated Node #2: [88, 88, 53] from Operation: 70-17=53
Current State: 52:[88, 88, 53], Operations: ['70-17=53']
Exploring Operation: 88/88=1, Resulting Numbers: [53, 1]
Generated Node #3: [53, 1] from Operation: 88/88=1
Current State: 52:[53, 1], Operations: ['70-17=53', '88/88=1']
Exploring Operation: 53-1=52, Resulting Numbers: [52]
52,52 equal: Goal Reached
| 4 |
[
67,
67,
67,
16
] | 14 | [
"67+67=134",
"134/67=2",
"16-2=14"
] | Current State: 14:[67, 67, 67, 16], Operations: []
Exploring Operation: 67+67=134, Resulting Numbers: [16, 134]
Generated Node #2: [16, 134] from Operation: 67+67=134
Current State: 14:[16, 134], Operations: ['67+67=134']
Exploring Operation: 134/67=2, Resulting Numbers: [16, 2]
Generated Node #3: [16, 2] from Operation: 134/67=2
Current State: 14:[16, 2], Operations: ['67+67=134', '134/67=2']
Exploring Operation: 16-2=14, Resulting Numbers: [14]
14,14 equal: Goal Reached
| 4 |
[
16,
26,
12,
18
] | 23 | [
"26*18=468",
"468/12=39",
"39-16=23"
] | Current State: 23:[16, 26, 12, 18], Operations: []
Exploring Operation: 26*18=468, Resulting Numbers: [16, 12, 468]
Generated Node #2: [16, 12, 468] from Operation: 26*18=468
Current State: 23:[16, 12, 468], Operations: ['26*18=468']
Exploring Operation: 468/12=39, Resulting Numbers: [16, 39]
Generated Node #3: [16, 39] from Operation: 468/12=39
Current State: 23:[16, 39], Operations: ['26*18=468', '468/12=39']
Exploring Operation: 39-16=23, Resulting Numbers: [23]
23,23 equal: Goal Reached
| 4 |
[
6,
96,
3,
93
] | 32 | [
"96+3=99",
"93+99=192",
"192/6=32"
] | Current State: 32:[6, 96, 3, 93], Operations: []
Exploring Operation: 96+3=99, Resulting Numbers: [6, 93, 99]
Generated Node #2: [6, 93, 99] from Operation: 96+3=99
Current State: 32:[6, 93, 99], Operations: ['96+3=99']
Exploring Operation: 93+99=192, Resulting Numbers: [6, 192]
Generated Node #3: [6, 192] from Operation: 93+99=192
Current State: 32:[6, 192], Operations: ['96+3=99', '93+99=192']
Exploring Operation: 192/6=32, Resulting Numbers: [32]
32,32 equal: Goal Reached
| 4 |
[
27,
7,
40,
6
] | 13 | [
"40-27=13",
"7-6=1",
"13*1=13"
] | Current State: 13:[27, 7, 40, 6], Operations: []
Exploring Operation: 40-27=13, Resulting Numbers: [7, 6, 13]
Generated Node #2: [7, 6, 13] from Operation: 40-27=13
Current State: 13:[7, 6, 13], Operations: ['40-27=13']
Exploring Operation: 7-6=1, Resulting Numbers: [13, 1]
Generated Node #3: [13, 1] from Operation: 7-6=1
Current State: 13:[13, 1], Operations: ['40-27=13', '7-6=1']
Exploring Operation: 13*1=13, Resulting Numbers: [13]
13,13 equal: Goal Reached
| 4 |
[
13,
21,
50,
19
] | 74 | [
"50-13=37",
"21-19=2",
"37*2=74"
] | Current State: 74:[13, 21, 50, 19], Operations: []
Exploring Operation: 50-13=37, Resulting Numbers: [21, 19, 37]
Generated Node #2: [21, 19, 37] from Operation: 50-13=37
Current State: 74:[21, 19, 37], Operations: ['50-13=37']
Exploring Operation: 21-19=2, Resulting Numbers: [37, 2]
Generated Node #3: [37, 2] from Operation: 21-19=2
Current State: 74:[37, 2], Operations: ['50-13=37', '21-19=2']
Exploring Operation: 37*2=74, Resulting Numbers: [74]
74,74 equal: Goal Reached
| 4 |
[
45,
5,
10,
34
] | 64 | [
"45-5=40",
"34-10=24",
"40+24=64"
] | Current State: 64:[45, 5, 10, 34], Operations: []
Exploring Operation: 45-5=40, Resulting Numbers: [10, 34, 40]
Generated Node #2: [10, 34, 40] from Operation: 45-5=40
Current State: 64:[10, 34, 40], Operations: ['45-5=40']
Exploring Operation: 34-10=24, Resulting Numbers: [40, 24]
Generated Node #3: [40, 24] from Operation: 34-10=24
Current State: 64:[40, 24], Operations: ['45-5=40', '34-10=24']
Exploring Operation: 40+24=64, Resulting Numbers: [64]
64,64 equal: Goal Reached
| 4 |
[
10,
99,
7,
14
] | 15 | [
"10*7=70",
"99-14=85",
"85-70=15"
] | Current State: 15:[10, 99, 7, 14], Operations: []
Exploring Operation: 10*7=70, Resulting Numbers: [99, 14, 70]
Generated Node #2: [99, 14, 70] from Operation: 10*7=70
Current State: 15:[99, 14, 70], Operations: ['10*7=70']
Exploring Operation: 99-14=85, Resulting Numbers: [70, 85]
Generated Node #3: [70, 85] from Operation: 99-14=85
Current State: 15:[70, 85], Operations: ['10*7=70', '99-14=85']
Exploring Operation: 85-70=15, Resulting Numbers: [15]
15,15 equal: Goal Reached
| 4 |
[
35,
86,
89,
78
] | 87 | [
"78-35=43",
"86/43=2",
"89-2=87"
] | Current State: 87:[35, 86, 89, 78], Operations: []
Exploring Operation: 78-35=43, Resulting Numbers: [86, 89, 43]
Generated Node #2: [86, 89, 43] from Operation: 78-35=43
Current State: 87:[86, 89, 43], Operations: ['78-35=43']
Exploring Operation: 86/43=2, Resulting Numbers: [89, 2]
Generated Node #3: [89, 2] from Operation: 86/43=2
Current State: 87:[89, 2], Operations: ['78-35=43', '86/43=2']
Exploring Operation: 89-2=87, Resulting Numbers: [87]
87,87 equal: Goal Reached
| 4 |
[
10,
12,
66,
87
] | 67 | [
"10*87=870",
"870-66=804",
"804/12=67"
] | Current State: 67:[10, 12, 66, 87], Operations: []
Exploring Operation: 10*87=870, Resulting Numbers: [12, 66, 870]
Generated Node #2: [12, 66, 870] from Operation: 10*87=870
Current State: 67:[12, 66, 870], Operations: ['10*87=870']
Exploring Operation: 870-66=804, Resulting Numbers: [12, 804]
Generated Node #3: [12, 804] from Operation: 870-66=804
Current State: 67:[12, 804], Operations: ['10*87=870', '870-66=804']
Exploring Operation: 804/12=67, Resulting Numbers: [67]
67,67 equal: Goal Reached
| 4 |
[
70,
3,
3,
2
] | 58 | [
"3+3=6",
"2*6=12",
"70-12=58"
] | Current State: 58:[70, 3, 3, 2], Operations: []
Exploring Operation: 3+3=6, Resulting Numbers: [70, 2, 6]
Generated Node #2: [70, 2, 6] from Operation: 3+3=6
Current State: 58:[70, 2, 6], Operations: ['3+3=6']
Exploring Operation: 2*6=12, Resulting Numbers: [70, 12]
Generated Node #3: [70, 12] from Operation: 2*6=12
Current State: 58:[70, 12], Operations: ['3+3=6', '2*6=12']
Exploring Operation: 70-12=58, Resulting Numbers: [58]
58,58 equal: Goal Reached
| 4 |
[
20,
65,
60,
92
] | 67 | [
"20+65=85",
"60+92=152",
"152-85=67"
] | Current State: 67:[20, 65, 60, 92], Operations: []
Exploring Operation: 20+65=85, Resulting Numbers: [60, 92, 85]
Generated Node #2: [60, 92, 85] from Operation: 20+65=85
Current State: 67:[60, 92, 85], Operations: ['20+65=85']
Exploring Operation: 60+92=152, Resulting Numbers: [85, 152]
Generated Node #3: [85, 152] from Operation: 60+92=152
Current State: 67:[85, 152], Operations: ['20+65=85', '60+92=152']
Exploring Operation: 152-85=67, Resulting Numbers: [67]
67,67 equal: Goal Reached
| 4 |
[
19,
54,
25,
30
] | 20 | [
"54-19=35",
"25+30=55",
"55-35=20"
] | Current State: 20:[19, 54, 25, 30], Operations: []
Exploring Operation: 54-19=35, Resulting Numbers: [25, 30, 35]
Generated Node #2: [25, 30, 35] from Operation: 54-19=35
Current State: 20:[25, 30, 35], Operations: ['54-19=35']
Exploring Operation: 25+30=55, Resulting Numbers: [35, 55]
Generated Node #3: [35, 55] from Operation: 25+30=55
Current State: 20:[35, 55], Operations: ['54-19=35', '25+30=55']
Exploring Operation: 55-35=20, Resulting Numbers: [20]
20,20 equal: Goal Reached
| 4 |
[
41,
33,
28,
29
] | 49 | [
"41-33=8",
"28+29=57",
"57-8=49"
] | Current State: 49:[41, 33, 28, 29], Operations: []
Exploring Operation: 41-33=8, Resulting Numbers: [28, 29, 8]
Generated Node #2: [28, 29, 8] from Operation: 41-33=8
Current State: 49:[28, 29, 8], Operations: ['41-33=8']
Exploring Operation: 28+29=57, Resulting Numbers: [8, 57]
Generated Node #3: [8, 57] from Operation: 28+29=57
Current State: 49:[8, 57], Operations: ['41-33=8', '28+29=57']
Exploring Operation: 57-8=49, Resulting Numbers: [49]
49,49 equal: Goal Reached
| 4 |
[
13,
7,
9,
38
] | 31 | [
"7*38=266",
"13+266=279",
"279/9=31"
] | Current State: 31:[13, 7, 9, 38], Operations: []
Exploring Operation: 7*38=266, Resulting Numbers: [13, 9, 266]
Generated Node #2: [13, 9, 266] from Operation: 7*38=266
Current State: 31:[13, 9, 266], Operations: ['7*38=266']
Exploring Operation: 13+266=279, Resulting Numbers: [9, 279]
Generated Node #3: [9, 279] from Operation: 13+266=279
Current State: 31:[9, 279], Operations: ['7*38=266', '13+266=279']
Exploring Operation: 279/9=31, Resulting Numbers: [31]
31,31 equal: Goal Reached
| 4 |
[
54,
46,
44,
50
] | 76 | [
"54*44=2376",
"46*50=2300",
"2376-2300=76"
] | Current State: 76:[54, 46, 44, 50], Operations: []
Exploring Operation: 54*44=2376, Resulting Numbers: [46, 50, 2376]
Generated Node #2: [46, 50, 2376] from Operation: 54*44=2376
Current State: 76:[46, 50, 2376], Operations: ['54*44=2376']
Exploring Operation: 46*50=2300, Resulting Numbers: [2376, 2300]
Generated Node #3: [2376, 2300] from Operation: 46*50=2300
Current State: 76:[2376, 2300], Operations: ['54*44=2376', '46*50=2300']
Exploring Operation: 2376-2300=76, Resulting Numbers: [76]
76,76 equal: Goal Reached
| 4 |
[
52,
44,
4,
55
] | 70 | [
"52+4=56",
"55*56=3080",
"3080/44=70"
] | Current State: 70:[52, 44, 4, 55], Operations: []
Exploring Operation: 52+4=56, Resulting Numbers: [44, 55, 56]
Generated Node #2: [44, 55, 56] from Operation: 52+4=56
Current State: 70:[44, 55, 56], Operations: ['52+4=56']
Exploring Operation: 55*56=3080, Resulting Numbers: [44, 3080]
Generated Node #3: [44, 3080] from Operation: 55*56=3080
Current State: 70:[44, 3080], Operations: ['52+4=56', '55*56=3080']
Exploring Operation: 3080/44=70, Resulting Numbers: [70]
70,70 equal: Goal Reached
| 4 |
[
15,
6,
81,
31
] | 59 | [
"15-6=9",
"81-31=50",
"9+50=59"
] | Current State: 59:[15, 6, 81, 31], Operations: []
Exploring Operation: 15-6=9, Resulting Numbers: [81, 31, 9]
Generated Node #2: [81, 31, 9] from Operation: 15-6=9
Current State: 59:[81, 31, 9], Operations: ['15-6=9']
Exploring Operation: 81-31=50, Resulting Numbers: [9, 50]
Generated Node #3: [9, 50] from Operation: 81-31=50
Current State: 59:[9, 50], Operations: ['15-6=9', '81-31=50']
Exploring Operation: 9+50=59, Resulting Numbers: [59]
59,59 equal: Goal Reached
| 4 |
[
19,
77,
58,
93
] | 92 | [
"77-19=58",
"58/58=1",
"93-1=92"
] | Current State: 92:[19, 77, 58, 93], Operations: []
Exploring Operation: 77-19=58, Resulting Numbers: [58, 93, 58]
Generated Node #2: [58, 93, 58] from Operation: 77-19=58
Current State: 92:[58, 93, 58], Operations: ['77-19=58']
Exploring Operation: 58/58=1, Resulting Numbers: [93, 1]
Generated Node #3: [93, 1] from Operation: 58/58=1
Current State: 92:[93, 1], Operations: ['77-19=58', '58/58=1']
Exploring Operation: 93-1=92, Resulting Numbers: [92]
92,92 equal: Goal Reached
| 4 |
[
71,
3,
69,
17
] | 93 | [
"71-17=54",
"3*54=162",
"162-69=93"
] | Current State: 93:[71, 3, 69, 17], Operations: []
Exploring Operation: 71-17=54, Resulting Numbers: [3, 69, 54]
Generated Node #2: [3, 69, 54] from Operation: 71-17=54
Current State: 93:[3, 69, 54], Operations: ['71-17=54']
Exploring Operation: 3*54=162, Resulting Numbers: [69, 162]
Generated Node #3: [69, 162] from Operation: 3*54=162
Current State: 93:[69, 162], Operations: ['71-17=54', '3*54=162']
Exploring Operation: 162-69=93, Resulting Numbers: [93]
93,93 equal: Goal Reached
| 4 |
[
66,
75,
54,
61
] | 26 | [
"66+75=141",
"54+61=115",
"141-115=26"
] | Current State: 26:[66, 75, 54, 61], Operations: []
Exploring Operation: 66+75=141, Resulting Numbers: [54, 61, 141]
Generated Node #2: [54, 61, 141] from Operation: 66+75=141
Current State: 26:[54, 61, 141], Operations: ['66+75=141']
Exploring Operation: 54+61=115, Resulting Numbers: [141, 115]
Generated Node #3: [141, 115] from Operation: 54+61=115
Current State: 26:[141, 115], Operations: ['66+75=141', '54+61=115']
Exploring Operation: 141-115=26, Resulting Numbers: [26]
26,26 equal: Goal Reached
| 4 |
[
9,
96,
3,
40
] | 62 | [
"9+96=105",
"3+40=43",
"105-43=62"
] | Current State: 62:[9, 96, 3, 40], Operations: []
Exploring Operation: 9+96=105, Resulting Numbers: [3, 40, 105]
Generated Node #2: [3, 40, 105] from Operation: 9+96=105
Current State: 62:[3, 40, 105], Operations: ['9+96=105']
Exploring Operation: 3+40=43, Resulting Numbers: [105, 43]
Generated Node #3: [105, 43] from Operation: 3+40=43
Current State: 62:[105, 43], Operations: ['9+96=105', '3+40=43']
Exploring Operation: 105-43=62, Resulting Numbers: [62]
62,62 equal: Goal Reached
| 4 |
[
9,
75,
73,
59
] | 51 | [
"73-59=14",
"9*14=126",
"126-75=51"
] | Current State: 51:[9, 75, 73, 59], Operations: []
Exploring Operation: 73-59=14, Resulting Numbers: [9, 75, 14]
Generated Node #2: [9, 75, 14] from Operation: 73-59=14
Current State: 51:[9, 75, 14], Operations: ['73-59=14']
Exploring Operation: 9*14=126, Resulting Numbers: [75, 126]
Generated Node #3: [75, 126] from Operation: 9*14=126
Current State: 51:[75, 126], Operations: ['73-59=14', '9*14=126']
Exploring Operation: 126-75=51, Resulting Numbers: [51]
51,51 equal: Goal Reached
| 4 |
[
24,
86,
10,
58
] | 42 | [
"24+86=110",
"10+58=68",
"110-68=42"
] | Current State: 42:[24, 86, 10, 58], Operations: []
Exploring Operation: 24+86=110, Resulting Numbers: [10, 58, 110]
Generated Node #2: [10, 58, 110] from Operation: 24+86=110
Current State: 42:[10, 58, 110], Operations: ['24+86=110']
Exploring Operation: 10+58=68, Resulting Numbers: [110, 68]
Generated Node #3: [110, 68] from Operation: 10+58=68
Current State: 42:[110, 68], Operations: ['24+86=110', '10+58=68']
Exploring Operation: 110-68=42, Resulting Numbers: [42]
42,42 equal: Goal Reached
| 4 |
[
25,
66,
40,
80
] | 51 | [
"25+66=91",
"80-40=40",
"91-40=51"
] | Current State: 51:[25, 66, 40, 80], Operations: []
Exploring Operation: 25+66=91, Resulting Numbers: [40, 80, 91]
Generated Node #2: [40, 80, 91] from Operation: 25+66=91
Current State: 51:[40, 80, 91], Operations: ['25+66=91']
Exploring Operation: 80-40=40, Resulting Numbers: [91, 40]
Generated Node #3: [91, 40] from Operation: 80-40=40
Current State: 51:[91, 40], Operations: ['25+66=91', '80-40=40']
Exploring Operation: 91-40=51, Resulting Numbers: [51]
51,51 equal: Goal Reached
| 4 |
[
7,
83,
37,
19
] | 43 | [
"37-19=18",
"7*18=126",
"126-83=43"
] | Current State: 43:[7, 83, 37, 19], Operations: []
Exploring Operation: 37-19=18, Resulting Numbers: [7, 83, 18]
Generated Node #2: [7, 83, 18] from Operation: 37-19=18
Current State: 43:[7, 83, 18], Operations: ['37-19=18']
Exploring Operation: 7*18=126, Resulting Numbers: [83, 126]
Generated Node #3: [83, 126] from Operation: 7*18=126
Current State: 43:[83, 126], Operations: ['37-19=18', '7*18=126']
Exploring Operation: 126-83=43, Resulting Numbers: [43]
43,43 equal: Goal Reached
| 4 |
[
28,
24,
30,
72
] | 24 | [
"30-28=2",
"72-24=48",
"48/2=24"
] | Current State: 24:[28, 24, 30, 72], Operations: []
Exploring Operation: 30-28=2, Resulting Numbers: [24, 72, 2]
Generated Node #2: [24, 72, 2] from Operation: 30-28=2
Current State: 24:[24, 72, 2], Operations: ['30-28=2']
Exploring Operation: 72-24=48, Resulting Numbers: [2, 48]
Generated Node #3: [2, 48] from Operation: 72-24=48
Current State: 24:[2, 48], Operations: ['30-28=2', '72-24=48']
Exploring Operation: 48/2=24, Resulting Numbers: [24]
24,24 equal: Goal Reached
| 4 |
[
71,
43,
67,
10
] | 85 | [
"71-43=28",
"67-10=57",
"28+57=85"
] | Current State: 85:[71, 43, 67, 10], Operations: []
Exploring Operation: 71-43=28, Resulting Numbers: [67, 10, 28]
Generated Node #2: [67, 10, 28] from Operation: 71-43=28
Current State: 85:[67, 10, 28], Operations: ['71-43=28']
Exploring Operation: 67-10=57, Resulting Numbers: [28, 57]
Generated Node #3: [28, 57] from Operation: 67-10=57
Current State: 85:[28, 57], Operations: ['71-43=28', '67-10=57']
Exploring Operation: 28+57=85, Resulting Numbers: [85]
85,85 equal: Goal Reached
| 4 |
[
5,
63,
62,
85
] | 18 | [
"85/5=17",
"63-62=1",
"17+1=18"
] | Current State: 18:[5, 63, 62, 85], Operations: []
Exploring Operation: 85/5=17, Resulting Numbers: [63, 62, 17]
Generated Node #2: [63, 62, 17] from Operation: 85/5=17
Current State: 18:[63, 62, 17], Operations: ['85/5=17']
Exploring Operation: 63-62=1, Resulting Numbers: [17, 1]
Generated Node #3: [17, 1] from Operation: 63-62=1
Current State: 18:[17, 1], Operations: ['85/5=17', '63-62=1']
Exploring Operation: 17+1=18, Resulting Numbers: [18]
18,18 equal: Goal Reached
| 4 |
[
60,
81,
64,
89
] | 32 | [
"64-60=4",
"89-81=8",
"4*8=32"
] | Current State: 32:[60, 81, 64, 89], Operations: []
Exploring Operation: 64-60=4, Resulting Numbers: [81, 89, 4]
Generated Node #2: [81, 89, 4] from Operation: 64-60=4
Current State: 32:[81, 89, 4], Operations: ['64-60=4']
Exploring Operation: 89-81=8, Resulting Numbers: [4, 8]
Generated Node #3: [4, 8] from Operation: 89-81=8
Current State: 32:[4, 8], Operations: ['64-60=4', '89-81=8']
Exploring Operation: 4*8=32, Resulting Numbers: [32]
32,32 equal: Goal Reached
| 4 |
[
23,
50,
88,
10
] | 16 | [
"50+88=138",
"138/23=6",
"10+6=16"
] | Current State: 16:[23, 50, 88, 10], Operations: []
Exploring Operation: 50+88=138, Resulting Numbers: [23, 10, 138]
Generated Node #2: [23, 10, 138] from Operation: 50+88=138
Current State: 16:[23, 10, 138], Operations: ['50+88=138']
Exploring Operation: 138/23=6, Resulting Numbers: [10, 6]
Generated Node #3: [10, 6] from Operation: 138/23=6
Current State: 16:[10, 6], Operations: ['50+88=138', '138/23=6']
Exploring Operation: 10+6=16, Resulting Numbers: [16]
16,16 equal: Goal Reached
| 4 |
[
1,
67,
99,
81
] | 85 | [
"1*67=67",
"99-81=18",
"67+18=85"
] | Current State: 85:[1, 67, 99, 81], Operations: []
Exploring Operation: 1*67=67, Resulting Numbers: [99, 81, 67]
Generated Node #2: [99, 81, 67] from Operation: 1*67=67
Current State: 85:[99, 81, 67], Operations: ['1*67=67']
Exploring Operation: 99-81=18, Resulting Numbers: [67, 18]
Generated Node #3: [67, 18] from Operation: 99-81=18
Current State: 85:[67, 18], Operations: ['1*67=67', '99-81=18']
Exploring Operation: 67+18=85, Resulting Numbers: [85]
85,85 equal: Goal Reached
| 4 |
[
35,
43,
6,
65
] | 53 | [
"43+65=108",
"108/6=18",
"35+18=53"
] | Current State: 53:[35, 43, 6, 65], Operations: []
Exploring Operation: 43+65=108, Resulting Numbers: [35, 6, 108]
Generated Node #2: [35, 6, 108] from Operation: 43+65=108
Current State: 53:[35, 6, 108], Operations: ['43+65=108']
Exploring Operation: 108/6=18, Resulting Numbers: [35, 18]
Generated Node #3: [35, 18] from Operation: 108/6=18
Current State: 53:[35, 18], Operations: ['43+65=108', '108/6=18']
Exploring Operation: 35+18=53, Resulting Numbers: [53]
53,53 equal: Goal Reached
| 4 |
[
84,
59,
93,
53
] | 62 | [
"84-53=31",
"93/31=3",
"59+3=62"
] | Current State: 62:[84, 59, 93, 53], Operations: []
Exploring Operation: 84-53=31, Resulting Numbers: [59, 93, 31]
Generated Node #2: [59, 93, 31] from Operation: 84-53=31
Current State: 62:[59, 93, 31], Operations: ['84-53=31']
Exploring Operation: 93/31=3, Resulting Numbers: [59, 3]
Generated Node #3: [59, 3] from Operation: 93/31=3
Current State: 62:[59, 3], Operations: ['84-53=31', '93/31=3']
Exploring Operation: 59+3=62, Resulting Numbers: [62]
62,62 equal: Goal Reached
| 4 |
[
60,
30,
50,
45
] | 55 | [
"60/30=2",
"50*2=100",
"100-45=55"
] | Current State: 55:[60, 30, 50, 45], Operations: []
Exploring Operation: 60/30=2, Resulting Numbers: [50, 45, 2]
Generated Node #2: [50, 45, 2] from Operation: 60/30=2
Current State: 55:[50, 45, 2], Operations: ['60/30=2']
Exploring Operation: 50*2=100, Resulting Numbers: [45, 100]
Generated Node #3: [45, 100] from Operation: 50*2=100
Current State: 55:[45, 100], Operations: ['60/30=2', '50*2=100']
Exploring Operation: 100-45=55, Resulting Numbers: [55]
55,55 equal: Goal Reached
| 4 |
[
91,
19,
49,
11
] | 59 | [
"91+19=110",
"110/11=10",
"49+10=59"
] | Current State: 59:[91, 19, 49, 11], Operations: []
Exploring Operation: 91+19=110, Resulting Numbers: [49, 11, 110]
Generated Node #2: [49, 11, 110] from Operation: 91+19=110
Current State: 59:[49, 11, 110], Operations: ['91+19=110']
Exploring Operation: 110/11=10, Resulting Numbers: [49, 10]
Generated Node #3: [49, 10] from Operation: 110/11=10
Current State: 59:[49, 10], Operations: ['91+19=110', '110/11=10']
Exploring Operation: 49+10=59, Resulting Numbers: [59]
59,59 equal: Goal Reached
| 4 |
[
58,
48,
53,
5
] | 59 | [
"53-48=5",
"5/5=1",
"58+1=59"
] | Current State: 59:[58, 48, 53, 5], Operations: []
Exploring Operation: 53-48=5, Resulting Numbers: [58, 5, 5]
Generated Node #2: [58, 5, 5] from Operation: 53-48=5
Current State: 59:[58, 5, 5], Operations: ['53-48=5']
Exploring Operation: 5/5=1, Resulting Numbers: [58, 1]
Generated Node #3: [58, 1] from Operation: 5/5=1
Current State: 59:[58, 1], Operations: ['53-48=5', '5/5=1']
Exploring Operation: 58+1=59, Resulting Numbers: [59]
59,59 equal: Goal Reached
| 4 |
[
14,
8,
58,
2
] | 56 | [
"14*8=112",
"58-2=56",
"112-56=56"
] | Current State: 56:[14, 8, 58, 2], Operations: []
Exploring Operation: 14*8=112, Resulting Numbers: [58, 2, 112]
Generated Node #2: [58, 2, 112] from Operation: 14*8=112
Current State: 56:[58, 2, 112], Operations: ['14*8=112']
Exploring Operation: 58-2=56, Resulting Numbers: [112, 56]
Generated Node #3: [112, 56] from Operation: 58-2=56
Current State: 56:[112, 56], Operations: ['14*8=112', '58-2=56']
Exploring Operation: 112-56=56, Resulting Numbers: [56]
56,56 equal: Goal Reached
| 4 |
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