nums listlengths 4 4 | target int64 10 100 | solution listlengths 3 3 | optimal_path stringlengths 282 529 | start_size int64 4 4 |
|---|---|---|---|---|
[
52,
8,
14,
43
] | 15 | [
"52-8=44",
"43-14=29",
"44-29=15"
] | Current State: 15:[52, 8, 14, 43], Operations: []
Exploring Operation: 52-8=44, Resulting Numbers: [14, 43, 44]
Generated Node #2: [14, 43, 44] from Operation: 52-8=44
Current State: 15:[14, 43, 44], Operations: ['52-8=44']
Exploring Operation: 43-14=29, Resulting Numbers: [44, 29]
Generated Node #3: [44, 29] from Operation: 43-14=29
Current State: 15:[44, 29], Operations: ['52-8=44', '43-14=29']
Exploring Operation: 44-29=15, Resulting Numbers: [15]
15,15 equal: Goal Reached
| 4 |
[
65,
8,
44,
76
] | 80 | [
"44+76=120",
"120/8=15",
"65+15=80"
] | Current State: 80:[65, 8, 44, 76], Operations: []
Exploring Operation: 44+76=120, Resulting Numbers: [65, 8, 120]
Generated Node #2: [65, 8, 120] from Operation: 44+76=120
Current State: 80:[65, 8, 120], Operations: ['44+76=120']
Exploring Operation: 120/8=15, Resulting Numbers: [65, 15]
Generated Node #3: [65, 15] from Operation: 120/8=15
Current State: 80:[65, 15], Operations: ['44+76=120', '120/8=15']
Exploring Operation: 65+15=80, Resulting Numbers: [80]
80,80 equal: Goal Reached
| 4 |
[
3,
3,
12,
52
] | 39 | [
"3*3=9",
"52*9=468",
"468/12=39"
] | Current State: 39:[3, 3, 12, 52], Operations: []
Exploring Operation: 3*3=9, Resulting Numbers: [12, 52, 9]
Generated Node #2: [12, 52, 9] from Operation: 3*3=9
Current State: 39:[12, 52, 9], Operations: ['3*3=9']
Exploring Operation: 52*9=468, Resulting Numbers: [12, 468]
Generated Node #3: [12, 468] from Operation: 52*9=468
Current State: 39:[12, 468], Operations: ['3*3=9', '52*9=468']
Exploring Operation: 468/12=39, Resulting Numbers: [39]
39,39 equal: Goal Reached
| 4 |
[
99,
86,
51,
37
] | 97 | [
"99+86=185",
"51+37=88",
"185-88=97"
] | Current State: 97:[99, 86, 51, 37], Operations: []
Exploring Operation: 99+86=185, Resulting Numbers: [51, 37, 185]
Generated Node #2: [51, 37, 185] from Operation: 99+86=185
Current State: 97:[51, 37, 185], Operations: ['99+86=185']
Exploring Operation: 51+37=88, Resulting Numbers: [185, 88]
Generated Node #3: [185, 88] from Operation: 51+37=88
Current State: 97:[185, 88], Operations: ['99+86=185', '51+37=88']
Exploring Operation: 185-88=97, Resulting Numbers: [97]
97,97 equal: Goal Reached
| 4 |
[
91,
83,
13,
54
] | 22 | [
"91/13=7",
"83-54=29",
"29-7=22"
] | Current State: 22:[91, 83, 13, 54], Operations: []
Exploring Operation: 91/13=7, Resulting Numbers: [83, 54, 7]
Generated Node #2: [83, 54, 7] from Operation: 91/13=7
Current State: 22:[83, 54, 7], Operations: ['91/13=7']
Exploring Operation: 83-54=29, Resulting Numbers: [7, 29]
Generated Node #3: [7, 29] from Operation: 83-54=29
Current State: 22:[7, 29], Operations: ['91/13=7', '83-54=29']
Exploring Operation: 29-7=22, Resulting Numbers: [22]
22,22 equal: Goal Reached
| 4 |
[
52,
3,
23,
9
] | 41 | [
"52+3=55",
"23-9=14",
"55-14=41"
] | Current State: 41:[52, 3, 23, 9], Operations: []
Exploring Operation: 52+3=55, Resulting Numbers: [23, 9, 55]
Generated Node #2: [23, 9, 55] from Operation: 52+3=55
Current State: 41:[23, 9, 55], Operations: ['52+3=55']
Exploring Operation: 23-9=14, Resulting Numbers: [55, 14]
Generated Node #3: [55, 14] from Operation: 23-9=14
Current State: 41:[55, 14], Operations: ['52+3=55', '23-9=14']
Exploring Operation: 55-14=41, Resulting Numbers: [41]
41,41 equal: Goal Reached
| 4 |
[
63,
80,
14,
4
] | 55 | [
"14-4=10",
"80/10=8",
"63-8=55"
] | Current State: 55:[63, 80, 14, 4], Operations: []
Exploring Operation: 14-4=10, Resulting Numbers: [63, 80, 10]
Generated Node #2: [63, 80, 10] from Operation: 14-4=10
Current State: 55:[63, 80, 10], Operations: ['14-4=10']
Exploring Operation: 80/10=8, Resulting Numbers: [63, 8]
Generated Node #3: [63, 8] from Operation: 80/10=8
Current State: 55:[63, 8], Operations: ['14-4=10', '80/10=8']
Exploring Operation: 63-8=55, Resulting Numbers: [55]
55,55 equal: Goal Reached
| 4 |
[
42,
40,
73,
61
] | 94 | [
"42+40=82",
"73-61=12",
"82+12=94"
] | Current State: 94:[42, 40, 73, 61], Operations: []
Exploring Operation: 42+40=82, Resulting Numbers: [73, 61, 82]
Generated Node #2: [73, 61, 82] from Operation: 42+40=82
Current State: 94:[73, 61, 82], Operations: ['42+40=82']
Exploring Operation: 73-61=12, Resulting Numbers: [82, 12]
Generated Node #3: [82, 12] from Operation: 73-61=12
Current State: 94:[82, 12], Operations: ['42+40=82', '73-61=12']
Exploring Operation: 82+12=94, Resulting Numbers: [94]
94,94 equal: Goal Reached
| 4 |
[
19,
3,
80,
29
] | 30 | [
"80-19=61",
"29+61=90",
"90/3=30"
] | Current State: 30:[19, 3, 80, 29], Operations: []
Exploring Operation: 80-19=61, Resulting Numbers: [3, 29, 61]
Generated Node #2: [3, 29, 61] from Operation: 80-19=61
Current State: 30:[3, 29, 61], Operations: ['80-19=61']
Exploring Operation: 29+61=90, Resulting Numbers: [3, 90]
Generated Node #3: [3, 90] from Operation: 29+61=90
Current State: 30:[3, 90], Operations: ['80-19=61', '29+61=90']
Exploring Operation: 90/3=30, Resulting Numbers: [30]
30,30 equal: Goal Reached
| 4 |
[
63,
70,
52,
9
] | 42 | [
"63/9=7",
"70/7=10",
"52-10=42"
] | Current State: 42:[63, 70, 52, 9], Operations: []
Exploring Operation: 63/9=7, Resulting Numbers: [70, 52, 7]
Generated Node #2: [70, 52, 7] from Operation: 63/9=7
Current State: 42:[70, 52, 7], Operations: ['63/9=7']
Exploring Operation: 70/7=10, Resulting Numbers: [52, 10]
Generated Node #3: [52, 10] from Operation: 70/7=10
Current State: 42:[52, 10], Operations: ['63/9=7', '70/7=10']
Exploring Operation: 52-10=42, Resulting Numbers: [42]
42,42 equal: Goal Reached
| 4 |
[
91,
33,
22,
4
] | 20 | [
"91-33=58",
"22+58=80",
"80/4=20"
] | Current State: 20:[91, 33, 22, 4], Operations: []
Exploring Operation: 91-33=58, Resulting Numbers: [22, 4, 58]
Generated Node #2: [22, 4, 58] from Operation: 91-33=58
Current State: 20:[22, 4, 58], Operations: ['91-33=58']
Exploring Operation: 22+58=80, Resulting Numbers: [4, 80]
Generated Node #3: [4, 80] from Operation: 22+58=80
Current State: 20:[4, 80], Operations: ['91-33=58', '22+58=80']
Exploring Operation: 80/4=20, Resulting Numbers: [20]
20,20 equal: Goal Reached
| 4 |
[
47,
16,
56,
5
] | 89 | [
"56-47=9",
"16*5=80",
"9+80=89"
] | Current State: 89:[47, 16, 56, 5], Operations: []
Exploring Operation: 56-47=9, Resulting Numbers: [16, 5, 9]
Generated Node #2: [16, 5, 9] from Operation: 56-47=9
Current State: 89:[16, 5, 9], Operations: ['56-47=9']
Exploring Operation: 16*5=80, Resulting Numbers: [9, 80]
Generated Node #3: [9, 80] from Operation: 16*5=80
Current State: 89:[9, 80], Operations: ['56-47=9', '16*5=80']
Exploring Operation: 9+80=89, Resulting Numbers: [89]
89,89 equal: Goal Reached
| 4 |
[
8,
41,
69,
67
] | 51 | [
"8+41=49",
"69-67=2",
"49+2=51"
] | Current State: 51:[8, 41, 69, 67], Operations: []
Exploring Operation: 8+41=49, Resulting Numbers: [69, 67, 49]
Generated Node #2: [69, 67, 49] from Operation: 8+41=49
Current State: 51:[69, 67, 49], Operations: ['8+41=49']
Exploring Operation: 69-67=2, Resulting Numbers: [49, 2]
Generated Node #3: [49, 2] from Operation: 69-67=2
Current State: 51:[49, 2], Operations: ['8+41=49', '69-67=2']
Exploring Operation: 49+2=51, Resulting Numbers: [51]
51,51 equal: Goal Reached
| 4 |
[
19,
3,
59,
97
] | 19 | [
"19*3=57",
"97-59=38",
"57-38=19"
] | Current State: 19:[19, 3, 59, 97], Operations: []
Exploring Operation: 19*3=57, Resulting Numbers: [59, 97, 57]
Generated Node #2: [59, 97, 57] from Operation: 19*3=57
Current State: 19:[59, 97, 57], Operations: ['19*3=57']
Exploring Operation: 97-59=38, Resulting Numbers: [57, 38]
Generated Node #3: [57, 38] from Operation: 97-59=38
Current State: 19:[57, 38], Operations: ['19*3=57', '97-59=38']
Exploring Operation: 57-38=19, Resulting Numbers: [19]
19,19 equal: Goal Reached
| 4 |
[
5,
15,
18,
36
] | 39 | [
"5*18=90",
"15+36=51",
"90-51=39"
] | Current State: 39:[5, 15, 18, 36], Operations: []
Exploring Operation: 5*18=90, Resulting Numbers: [15, 36, 90]
Generated Node #2: [15, 36, 90] from Operation: 5*18=90
Current State: 39:[15, 36, 90], Operations: ['5*18=90']
Exploring Operation: 15+36=51, Resulting Numbers: [90, 51]
Generated Node #3: [90, 51] from Operation: 15+36=51
Current State: 39:[90, 51], Operations: ['5*18=90', '15+36=51']
Exploring Operation: 90-51=39, Resulting Numbers: [39]
39,39 equal: Goal Reached
| 4 |
[
13,
1,
50,
10
] | 54 | [
"13+1=14",
"50-10=40",
"14+40=54"
] | Current State: 54:[13, 1, 50, 10], Operations: []
Exploring Operation: 13+1=14, Resulting Numbers: [50, 10, 14]
Generated Node #2: [50, 10, 14] from Operation: 13+1=14
Current State: 54:[50, 10, 14], Operations: ['13+1=14']
Exploring Operation: 50-10=40, Resulting Numbers: [14, 40]
Generated Node #3: [14, 40] from Operation: 50-10=40
Current State: 54:[14, 40], Operations: ['13+1=14', '50-10=40']
Exploring Operation: 14+40=54, Resulting Numbers: [54]
54,54 equal: Goal Reached
| 4 |
[
65,
60,
34,
53
] | 39 | [
"65-53=12",
"60/12=5",
"34+5=39"
] | Current State: 39:[65, 60, 34, 53], Operations: []
Exploring Operation: 65-53=12, Resulting Numbers: [60, 34, 12]
Generated Node #2: [60, 34, 12] from Operation: 65-53=12
Current State: 39:[60, 34, 12], Operations: ['65-53=12']
Exploring Operation: 60/12=5, Resulting Numbers: [34, 5]
Generated Node #3: [34, 5] from Operation: 60/12=5
Current State: 39:[34, 5], Operations: ['65-53=12', '60/12=5']
Exploring Operation: 34+5=39, Resulting Numbers: [39]
39,39 equal: Goal Reached
| 4 |
[
60,
15,
74,
80
] | 25 | [
"80-74=6",
"60/6=10",
"15+10=25"
] | Current State: 25:[60, 15, 74, 80], Operations: []
Exploring Operation: 80-74=6, Resulting Numbers: [60, 15, 6]
Generated Node #2: [60, 15, 6] from Operation: 80-74=6
Current State: 25:[60, 15, 6], Operations: ['80-74=6']
Exploring Operation: 60/6=10, Resulting Numbers: [15, 10]
Generated Node #3: [15, 10] from Operation: 60/6=10
Current State: 25:[15, 10], Operations: ['80-74=6', '60/6=10']
Exploring Operation: 15+10=25, Resulting Numbers: [25]
25,25 equal: Goal Reached
| 4 |
[
18,
5,
15,
97
] | 95 | [
"18-5=13",
"97-15=82",
"13+82=95"
] | Current State: 95:[18, 5, 15, 97], Operations: []
Exploring Operation: 18-5=13, Resulting Numbers: [15, 97, 13]
Generated Node #2: [15, 97, 13] from Operation: 18-5=13
Current State: 95:[15, 97, 13], Operations: ['18-5=13']
Exploring Operation: 97-15=82, Resulting Numbers: [13, 82]
Generated Node #3: [13, 82] from Operation: 97-15=82
Current State: 95:[13, 82], Operations: ['18-5=13', '97-15=82']
Exploring Operation: 13+82=95, Resulting Numbers: [95]
95,95 equal: Goal Reached
| 4 |
[
3,
40,
10,
46
] | 24 | [
"3*10=30",
"46-40=6",
"30-6=24"
] | Current State: 24:[3, 40, 10, 46], Operations: []
Exploring Operation: 3*10=30, Resulting Numbers: [40, 46, 30]
Generated Node #2: [40, 46, 30] from Operation: 3*10=30
Current State: 24:[40, 46, 30], Operations: ['3*10=30']
Exploring Operation: 46-40=6, Resulting Numbers: [30, 6]
Generated Node #3: [30, 6] from Operation: 46-40=6
Current State: 24:[30, 6], Operations: ['3*10=30', '46-40=6']
Exploring Operation: 30-6=24, Resulting Numbers: [24]
24,24 equal: Goal Reached
| 4 |
[
27,
93,
24,
3
] | 45 | [
"93-27=66",
"24-3=21",
"66-21=45"
] | Current State: 45:[27, 93, 24, 3], Operations: []
Exploring Operation: 93-27=66, Resulting Numbers: [24, 3, 66]
Generated Node #2: [24, 3, 66] from Operation: 93-27=66
Current State: 45:[24, 3, 66], Operations: ['93-27=66']
Exploring Operation: 24-3=21, Resulting Numbers: [66, 21]
Generated Node #3: [66, 21] from Operation: 24-3=21
Current State: 45:[66, 21], Operations: ['93-27=66', '24-3=21']
Exploring Operation: 66-21=45, Resulting Numbers: [45]
45,45 equal: Goal Reached
| 4 |
[
42,
27,
72,
13
] | 44 | [
"42-27=15",
"72-13=59",
"59-15=44"
] | Current State: 44:[42, 27, 72, 13], Operations: []
Exploring Operation: 42-27=15, Resulting Numbers: [72, 13, 15]
Generated Node #2: [72, 13, 15] from Operation: 42-27=15
Current State: 44:[72, 13, 15], Operations: ['42-27=15']
Exploring Operation: 72-13=59, Resulting Numbers: [15, 59]
Generated Node #3: [15, 59] from Operation: 72-13=59
Current State: 44:[15, 59], Operations: ['42-27=15', '72-13=59']
Exploring Operation: 59-15=44, Resulting Numbers: [44]
44,44 equal: Goal Reached
| 4 |
[
92,
14,
31,
11
] | 64 | [
"92+14=106",
"31+11=42",
"106-42=64"
] | Current State: 64:[92, 14, 31, 11], Operations: []
Exploring Operation: 92+14=106, Resulting Numbers: [31, 11, 106]
Generated Node #2: [31, 11, 106] from Operation: 92+14=106
Current State: 64:[31, 11, 106], Operations: ['92+14=106']
Exploring Operation: 31+11=42, Resulting Numbers: [106, 42]
Generated Node #3: [106, 42] from Operation: 31+11=42
Current State: 64:[106, 42], Operations: ['92+14=106', '31+11=42']
Exploring Operation: 106-42=64, Resulting Numbers: [64]
64,64 equal: Goal Reached
| 4 |
[
33,
24,
11,
34
] | 32 | [
"33-24=9",
"34-11=23",
"9+23=32"
] | Current State: 32:[33, 24, 11, 34], Operations: []
Exploring Operation: 33-24=9, Resulting Numbers: [11, 34, 9]
Generated Node #2: [11, 34, 9] from Operation: 33-24=9
Current State: 32:[11, 34, 9], Operations: ['33-24=9']
Exploring Operation: 34-11=23, Resulting Numbers: [9, 23]
Generated Node #3: [9, 23] from Operation: 34-11=23
Current State: 32:[9, 23], Operations: ['33-24=9', '34-11=23']
Exploring Operation: 9+23=32, Resulting Numbers: [32]
32,32 equal: Goal Reached
| 4 |
[
7,
9,
19,
16
] | 59 | [
"7*16=112",
"9*19=171",
"171-112=59"
] | Current State: 59:[7, 9, 19, 16], Operations: []
Exploring Operation: 7*16=112, Resulting Numbers: [9, 19, 112]
Generated Node #2: [9, 19, 112] from Operation: 7*16=112
Current State: 59:[9, 19, 112], Operations: ['7*16=112']
Exploring Operation: 9*19=171, Resulting Numbers: [112, 171]
Generated Node #3: [112, 171] from Operation: 9*19=171
Current State: 59:[112, 171], Operations: ['7*16=112', '9*19=171']
Exploring Operation: 171-112=59, Resulting Numbers: [59]
59,59 equal: Goal Reached
| 4 |
[
4,
2,
97,
22
] | 83 | [
"4*2=8",
"97-22=75",
"8+75=83"
] | Current State: 83:[4, 2, 97, 22], Operations: []
Exploring Operation: 4*2=8, Resulting Numbers: [97, 22, 8]
Generated Node #2: [97, 22, 8] from Operation: 4*2=8
Current State: 83:[97, 22, 8], Operations: ['4*2=8']
Exploring Operation: 97-22=75, Resulting Numbers: [8, 75]
Generated Node #3: [8, 75] from Operation: 97-22=75
Current State: 83:[8, 75], Operations: ['4*2=8', '97-22=75']
Exploring Operation: 8+75=83, Resulting Numbers: [83]
83,83 equal: Goal Reached
| 4 |
[
52,
39,
12,
92
] | 76 | [
"52*12=624",
"624/39=16",
"92-16=76"
] | Current State: 76:[52, 39, 12, 92], Operations: []
Exploring Operation: 52*12=624, Resulting Numbers: [39, 92, 624]
Generated Node #2: [39, 92, 624] from Operation: 52*12=624
Current State: 76:[39, 92, 624], Operations: ['52*12=624']
Exploring Operation: 624/39=16, Resulting Numbers: [92, 16]
Generated Node #3: [92, 16] from Operation: 624/39=16
Current State: 76:[92, 16], Operations: ['52*12=624', '624/39=16']
Exploring Operation: 92-16=76, Resulting Numbers: [76]
76,76 equal: Goal Reached
| 4 |
[
98,
98,
51,
7
] | 43 | [
"98/98=1",
"51-7=44",
"44-1=43"
] | Current State: 43:[98, 98, 51, 7], Operations: []
Exploring Operation: 98/98=1, Resulting Numbers: [51, 7, 1]
Generated Node #2: [51, 7, 1] from Operation: 98/98=1
Current State: 43:[51, 7, 1], Operations: ['98/98=1']
Exploring Operation: 51-7=44, Resulting Numbers: [1, 44]
Generated Node #3: [1, 44] from Operation: 51-7=44
Current State: 43:[1, 44], Operations: ['98/98=1', '51-7=44']
Exploring Operation: 44-1=43, Resulting Numbers: [43]
43,43 equal: Goal Reached
| 4 |
[
33,
66,
62,
62
] | 33 | [
"66-33=33",
"62-62=0",
"33+0=33"
] | Current State: 33:[33, 66, 62, 62], Operations: []
Exploring Operation: 66-33=33, Resulting Numbers: [62, 62, 33]
Generated Node #2: [62, 62, 33] from Operation: 66-33=33
Current State: 33:[62, 62, 33], Operations: ['66-33=33']
Exploring Operation: 62-62=0, Resulting Numbers: [33, 0]
Generated Node #3: [33, 0] from Operation: 62-62=0
Current State: 33:[33, 0], Operations: ['66-33=33', '62-62=0']
Exploring Operation: 33+0=33, Resulting Numbers: [33]
33,33 equal: Goal Reached
| 4 |
[
14,
20,
18,
98
] | 93 | [
"18-14=4",
"20/4=5",
"98-5=93"
] | Current State: 93:[14, 20, 18, 98], Operations: []
Exploring Operation: 18-14=4, Resulting Numbers: [20, 98, 4]
Generated Node #2: [20, 98, 4] from Operation: 18-14=4
Current State: 93:[20, 98, 4], Operations: ['18-14=4']
Exploring Operation: 20/4=5, Resulting Numbers: [98, 5]
Generated Node #3: [98, 5] from Operation: 20/4=5
Current State: 93:[98, 5], Operations: ['18-14=4', '20/4=5']
Exploring Operation: 98-5=93, Resulting Numbers: [93]
93,93 equal: Goal Reached
| 4 |
[
93,
42,
22,
30
] | 48 | [
"93*22=2046",
"2046-30=2016",
"2016/42=48"
] | Current State: 48:[93, 42, 22, 30], Operations: []
Exploring Operation: 93*22=2046, Resulting Numbers: [42, 30, 2046]
Generated Node #2: [42, 30, 2046] from Operation: 93*22=2046
Current State: 48:[42, 30, 2046], Operations: ['93*22=2046']
Exploring Operation: 2046-30=2016, Resulting Numbers: [42, 2016]
Generated Node #3: [42, 2016] from Operation: 2046-30=2016
Current State: 48:[42, 2016], Operations: ['93*22=2046', '2046-30=2016']
Exploring Operation: 2016/42=48, Resulting Numbers: [48]
48,48 equal: Goal Reached
| 4 |
[
62,
98,
51,
72
] | 49 | [
"98-62=36",
"72/36=2",
"51-2=49"
] | Current State: 49:[62, 98, 51, 72], Operations: []
Exploring Operation: 98-62=36, Resulting Numbers: [51, 72, 36]
Generated Node #2: [51, 72, 36] from Operation: 98-62=36
Current State: 49:[51, 72, 36], Operations: ['98-62=36']
Exploring Operation: 72/36=2, Resulting Numbers: [51, 2]
Generated Node #3: [51, 2] from Operation: 72/36=2
Current State: 49:[51, 2], Operations: ['98-62=36', '72/36=2']
Exploring Operation: 51-2=49, Resulting Numbers: [49]
49,49 equal: Goal Reached
| 4 |
[
31,
89,
15,
76
] | 42 | [
"89+76=165",
"165/15=11",
"31+11=42"
] | Current State: 42:[31, 89, 15, 76], Operations: []
Exploring Operation: 89+76=165, Resulting Numbers: [31, 15, 165]
Generated Node #2: [31, 15, 165] from Operation: 89+76=165
Current State: 42:[31, 15, 165], Operations: ['89+76=165']
Exploring Operation: 165/15=11, Resulting Numbers: [31, 11]
Generated Node #3: [31, 11] from Operation: 165/15=11
Current State: 42:[31, 11], Operations: ['89+76=165', '165/15=11']
Exploring Operation: 31+11=42, Resulting Numbers: [42]
42,42 equal: Goal Reached
| 4 |
[
65,
3,
47,
66
] | 43 | [
"65-3=62",
"66-47=19",
"62-19=43"
] | Current State: 43:[65, 3, 47, 66], Operations: []
Exploring Operation: 65-3=62, Resulting Numbers: [47, 66, 62]
Generated Node #2: [47, 66, 62] from Operation: 65-3=62
Current State: 43:[47, 66, 62], Operations: ['65-3=62']
Exploring Operation: 66-47=19, Resulting Numbers: [62, 19]
Generated Node #3: [62, 19] from Operation: 66-47=19
Current State: 43:[62, 19], Operations: ['65-3=62', '66-47=19']
Exploring Operation: 62-19=43, Resulting Numbers: [43]
43,43 equal: Goal Reached
| 4 |
[
46,
2,
31,
96
] | 62 | [
"46+2=48",
"31*96=2976",
"2976/48=62"
] | Current State: 62:[46, 2, 31, 96], Operations: []
Exploring Operation: 46+2=48, Resulting Numbers: [31, 96, 48]
Generated Node #2: [31, 96, 48] from Operation: 46+2=48
Current State: 62:[31, 96, 48], Operations: ['46+2=48']
Exploring Operation: 31*96=2976, Resulting Numbers: [48, 2976]
Generated Node #3: [48, 2976] from Operation: 31*96=2976
Current State: 62:[48, 2976], Operations: ['46+2=48', '31*96=2976']
Exploring Operation: 2976/48=62, Resulting Numbers: [62]
62,62 equal: Goal Reached
| 4 |
[
42,
2,
91,
14
] | 44 | [
"42/14=3",
"91-3=88",
"88/2=44"
] | Current State: 44:[42, 2, 91, 14], Operations: []
Exploring Operation: 42/14=3, Resulting Numbers: [2, 91, 3]
Generated Node #2: [2, 91, 3] from Operation: 42/14=3
Current State: 44:[2, 91, 3], Operations: ['42/14=3']
Exploring Operation: 91-3=88, Resulting Numbers: [2, 88]
Generated Node #3: [2, 88] from Operation: 91-3=88
Current State: 44:[2, 88], Operations: ['42/14=3', '91-3=88']
Exploring Operation: 88/2=44, Resulting Numbers: [44]
44,44 equal: Goal Reached
| 4 |
[
5,
50,
17,
3
] | 32 | [
"50-5=45",
"45/3=15",
"17+15=32"
] | Current State: 32:[5, 50, 17, 3], Operations: []
Exploring Operation: 50-5=45, Resulting Numbers: [17, 3, 45]
Generated Node #2: [17, 3, 45] from Operation: 50-5=45
Current State: 32:[17, 3, 45], Operations: ['50-5=45']
Exploring Operation: 45/3=15, Resulting Numbers: [17, 15]
Generated Node #3: [17, 15] from Operation: 45/3=15
Current State: 32:[17, 15], Operations: ['50-5=45', '45/3=15']
Exploring Operation: 17+15=32, Resulting Numbers: [32]
32,32 equal: Goal Reached
| 4 |
[
42,
64,
26,
70
] | 62 | [
"42+64=106",
"70-26=44",
"106-44=62"
] | Current State: 62:[42, 64, 26, 70], Operations: []
Exploring Operation: 42+64=106, Resulting Numbers: [26, 70, 106]
Generated Node #2: [26, 70, 106] from Operation: 42+64=106
Current State: 62:[26, 70, 106], Operations: ['42+64=106']
Exploring Operation: 70-26=44, Resulting Numbers: [106, 44]
Generated Node #3: [106, 44] from Operation: 70-26=44
Current State: 62:[106, 44], Operations: ['42+64=106', '70-26=44']
Exploring Operation: 106-44=62, Resulting Numbers: [62]
62,62 equal: Goal Reached
| 4 |
[
48,
29,
32,
30
] | 53 | [
"32-30=2",
"48/2=24",
"29+24=53"
] | Current State: 53:[48, 29, 32, 30], Operations: []
Exploring Operation: 32-30=2, Resulting Numbers: [48, 29, 2]
Generated Node #2: [48, 29, 2] from Operation: 32-30=2
Current State: 53:[48, 29, 2], Operations: ['32-30=2']
Exploring Operation: 48/2=24, Resulting Numbers: [29, 24]
Generated Node #3: [29, 24] from Operation: 48/2=24
Current State: 53:[29, 24], Operations: ['32-30=2', '48/2=24']
Exploring Operation: 29+24=53, Resulting Numbers: [53]
53,53 equal: Goal Reached
| 4 |
[
18,
51,
21,
60
] | 19 | [
"60-51=9",
"18/9=2",
"21-2=19"
] | Current State: 19:[18, 51, 21, 60], Operations: []
Exploring Operation: 60-51=9, Resulting Numbers: [18, 21, 9]
Generated Node #2: [18, 21, 9] from Operation: 60-51=9
Current State: 19:[18, 21, 9], Operations: ['60-51=9']
Exploring Operation: 18/9=2, Resulting Numbers: [21, 2]
Generated Node #3: [21, 2] from Operation: 18/9=2
Current State: 19:[21, 2], Operations: ['60-51=9', '18/9=2']
Exploring Operation: 21-2=19, Resulting Numbers: [19]
19,19 equal: Goal Reached
| 4 |
[
3,
14,
34,
28
] | 92 | [
"14+28=42",
"3*42=126",
"126-34=92"
] | Current State: 92:[3, 14, 34, 28], Operations: []
Exploring Operation: 14+28=42, Resulting Numbers: [3, 34, 42]
Generated Node #2: [3, 34, 42] from Operation: 14+28=42
Current State: 92:[3, 34, 42], Operations: ['14+28=42']
Exploring Operation: 3*42=126, Resulting Numbers: [34, 126]
Generated Node #3: [34, 126] from Operation: 3*42=126
Current State: 92:[34, 126], Operations: ['14+28=42', '3*42=126']
Exploring Operation: 126-34=92, Resulting Numbers: [92]
92,92 equal: Goal Reached
| 4 |
[
37,
52,
14,
36
] | 67 | [
"37+52=89",
"36-14=22",
"89-22=67"
] | Current State: 67:[37, 52, 14, 36], Operations: []
Exploring Operation: 37+52=89, Resulting Numbers: [14, 36, 89]
Generated Node #2: [14, 36, 89] from Operation: 37+52=89
Current State: 67:[14, 36, 89], Operations: ['37+52=89']
Exploring Operation: 36-14=22, Resulting Numbers: [89, 22]
Generated Node #3: [89, 22] from Operation: 36-14=22
Current State: 67:[89, 22], Operations: ['37+52=89', '36-14=22']
Exploring Operation: 89-22=67, Resulting Numbers: [67]
67,67 equal: Goal Reached
| 4 |
[
78,
80,
62,
24
] | 36 | [
"80-78=2",
"62-24=38",
"38-2=36"
] | Current State: 36:[78, 80, 62, 24], Operations: []
Exploring Operation: 80-78=2, Resulting Numbers: [62, 24, 2]
Generated Node #2: [62, 24, 2] from Operation: 80-78=2
Current State: 36:[62, 24, 2], Operations: ['80-78=2']
Exploring Operation: 62-24=38, Resulting Numbers: [2, 38]
Generated Node #3: [2, 38] from Operation: 62-24=38
Current State: 36:[2, 38], Operations: ['80-78=2', '62-24=38']
Exploring Operation: 38-2=36, Resulting Numbers: [36]
36,36 equal: Goal Reached
| 4 |
[
30,
53,
7,
95
] | 19 | [
"30+53=83",
"7+95=102",
"102-83=19"
] | Current State: 19:[30, 53, 7, 95], Operations: []
Exploring Operation: 30+53=83, Resulting Numbers: [7, 95, 83]
Generated Node #2: [7, 95, 83] from Operation: 30+53=83
Current State: 19:[7, 95, 83], Operations: ['30+53=83']
Exploring Operation: 7+95=102, Resulting Numbers: [83, 102]
Generated Node #3: [83, 102] from Operation: 7+95=102
Current State: 19:[83, 102], Operations: ['30+53=83', '7+95=102']
Exploring Operation: 102-83=19, Resulting Numbers: [19]
19,19 equal: Goal Reached
| 4 |
[
56,
4,
77,
50
] | 67 | [
"56+4=60",
"77+50=127",
"127-60=67"
] | Current State: 67:[56, 4, 77, 50], Operations: []
Exploring Operation: 56+4=60, Resulting Numbers: [77, 50, 60]
Generated Node #2: [77, 50, 60] from Operation: 56+4=60
Current State: 67:[77, 50, 60], Operations: ['56+4=60']
Exploring Operation: 77+50=127, Resulting Numbers: [60, 127]
Generated Node #3: [60, 127] from Operation: 77+50=127
Current State: 67:[60, 127], Operations: ['56+4=60', '77+50=127']
Exploring Operation: 127-60=67, Resulting Numbers: [67]
67,67 equal: Goal Reached
| 4 |
[
43,
75,
50,
48
] | 11 | [
"50*48=2400",
"2400/75=32",
"43-32=11"
] | Current State: 11:[43, 75, 50, 48], Operations: []
Exploring Operation: 50*48=2400, Resulting Numbers: [43, 75, 2400]
Generated Node #2: [43, 75, 2400] from Operation: 50*48=2400
Current State: 11:[43, 75, 2400], Operations: ['50*48=2400']
Exploring Operation: 2400/75=32, Resulting Numbers: [43, 32]
Generated Node #3: [43, 32] from Operation: 2400/75=32
Current State: 11:[43, 32], Operations: ['50*48=2400', '2400/75=32']
Exploring Operation: 43-32=11, Resulting Numbers: [11]
11,11 equal: Goal Reached
| 4 |
[
49,
16,
75,
33
] | 74 | [
"49-16=33",
"33/33=1",
"75-1=74"
] | Current State: 74:[49, 16, 75, 33], Operations: []
Exploring Operation: 49-16=33, Resulting Numbers: [75, 33, 33]
Generated Node #2: [75, 33, 33] from Operation: 49-16=33
Current State: 74:[75, 33, 33], Operations: ['49-16=33']
Exploring Operation: 33/33=1, Resulting Numbers: [75, 1]
Generated Node #3: [75, 1] from Operation: 33/33=1
Current State: 74:[75, 1], Operations: ['49-16=33', '33/33=1']
Exploring Operation: 75-1=74, Resulting Numbers: [74]
74,74 equal: Goal Reached
| 4 |
[
48,
2,
23,
53
] | 35 | [
"48+23=71",
"2*53=106",
"106-71=35"
] | Current State: 35:[48, 2, 23, 53], Operations: []
Exploring Operation: 48+23=71, Resulting Numbers: [2, 53, 71]
Generated Node #2: [2, 53, 71] from Operation: 48+23=71
Current State: 35:[2, 53, 71], Operations: ['48+23=71']
Exploring Operation: 2*53=106, Resulting Numbers: [71, 106]
Generated Node #3: [71, 106] from Operation: 2*53=106
Current State: 35:[71, 106], Operations: ['48+23=71', '2*53=106']
Exploring Operation: 106-71=35, Resulting Numbers: [35]
35,35 equal: Goal Reached
| 4 |
[
20,
16,
37,
17
] | 90 | [
"20+16=36",
"37+17=54",
"36+54=90"
] | Current State: 90:[20, 16, 37, 17], Operations: []
Exploring Operation: 20+16=36, Resulting Numbers: [37, 17, 36]
Generated Node #2: [37, 17, 36] from Operation: 20+16=36
Current State: 90:[37, 17, 36], Operations: ['20+16=36']
Exploring Operation: 37+17=54, Resulting Numbers: [36, 54]
Generated Node #3: [36, 54] from Operation: 37+17=54
Current State: 90:[36, 54], Operations: ['20+16=36', '37+17=54']
Exploring Operation: 36+54=90, Resulting Numbers: [90]
90,90 equal: Goal Reached
| 4 |
[
6,
21,
95,
77
] | 73 | [
"6*77=462",
"462/21=22",
"95-22=73"
] | Current State: 73:[6, 21, 95, 77], Operations: []
Exploring Operation: 6*77=462, Resulting Numbers: [21, 95, 462]
Generated Node #2: [21, 95, 462] from Operation: 6*77=462
Current State: 73:[21, 95, 462], Operations: ['6*77=462']
Exploring Operation: 462/21=22, Resulting Numbers: [95, 22]
Generated Node #3: [95, 22] from Operation: 462/21=22
Current State: 73:[95, 22], Operations: ['6*77=462', '462/21=22']
Exploring Operation: 95-22=73, Resulting Numbers: [73]
73,73 equal: Goal Reached
| 4 |
[
82,
69,
20,
69
] | 76 | [
"82-69=13",
"20+69=89",
"89-13=76"
] | Current State: 76:[82, 69, 20, 69], Operations: []
Exploring Operation: 82-69=13, Resulting Numbers: [20, 13]
Generated Node #2: [20, 13] from Operation: 82-69=13
Current State: 76:[20, 13], Operations: ['82-69=13']
Exploring Operation: 20+69=89, Resulting Numbers: [13, 89]
Generated Node #3: [13, 89] from Operation: 20+69=89
Current State: 76:[13, 89], Operations: ['82-69=13', '20+69=89']
Exploring Operation: 89-13=76, Resulting Numbers: [76]
76,76 equal: Goal Reached
| 4 |
[
60,
20,
46,
40
] | 39 | [
"46-20=26",
"60*26=1560",
"1560/40=39"
] | Current State: 39:[60, 20, 46, 40], Operations: []
Exploring Operation: 46-20=26, Resulting Numbers: [60, 40, 26]
Generated Node #2: [60, 40, 26] from Operation: 46-20=26
Current State: 39:[60, 40, 26], Operations: ['46-20=26']
Exploring Operation: 60*26=1560, Resulting Numbers: [40, 1560]
Generated Node #3: [40, 1560] from Operation: 60*26=1560
Current State: 39:[40, 1560], Operations: ['46-20=26', '60*26=1560']
Exploring Operation: 1560/40=39, Resulting Numbers: [39]
39,39 equal: Goal Reached
| 4 |
[
84,
76,
60,
24
] | 77 | [
"84-60=24",
"24/24=1",
"76+1=77"
] | Current State: 77:[84, 76, 60, 24], Operations: []
Exploring Operation: 84-60=24, Resulting Numbers: [76, 24, 24]
Generated Node #2: [76, 24, 24] from Operation: 84-60=24
Current State: 77:[76, 24, 24], Operations: ['84-60=24']
Exploring Operation: 24/24=1, Resulting Numbers: [76, 1]
Generated Node #3: [76, 1] from Operation: 24/24=1
Current State: 77:[76, 1], Operations: ['84-60=24', '24/24=1']
Exploring Operation: 76+1=77, Resulting Numbers: [77]
77,77 equal: Goal Reached
| 4 |
[
66,
54,
30,
68
] | 22 | [
"66+54=120",
"30+68=98",
"120-98=22"
] | Current State: 22:[66, 54, 30, 68], Operations: []
Exploring Operation: 66+54=120, Resulting Numbers: [30, 68, 120]
Generated Node #2: [30, 68, 120] from Operation: 66+54=120
Current State: 22:[30, 68, 120], Operations: ['66+54=120']
Exploring Operation: 30+68=98, Resulting Numbers: [120, 98]
Generated Node #3: [120, 98] from Operation: 30+68=98
Current State: 22:[120, 98], Operations: ['66+54=120', '30+68=98']
Exploring Operation: 120-98=22, Resulting Numbers: [22]
22,22 equal: Goal Reached
| 4 |
[
75,
16,
29,
22
] | 99 | [
"22-16=6",
"29*6=174",
"174-75=99"
] | Current State: 99:[75, 16, 29, 22], Operations: []
Exploring Operation: 22-16=6, Resulting Numbers: [75, 29, 6]
Generated Node #2: [75, 29, 6] from Operation: 22-16=6
Current State: 99:[75, 29, 6], Operations: ['22-16=6']
Exploring Operation: 29*6=174, Resulting Numbers: [75, 174]
Generated Node #3: [75, 174] from Operation: 29*6=174
Current State: 99:[75, 174], Operations: ['22-16=6', '29*6=174']
Exploring Operation: 174-75=99, Resulting Numbers: [99]
99,99 equal: Goal Reached
| 4 |
[
64,
79,
56,
92
] | 51 | [
"79-64=15",
"92-56=36",
"15+36=51"
] | Current State: 51:[64, 79, 56, 92], Operations: []
Exploring Operation: 79-64=15, Resulting Numbers: [56, 92, 15]
Generated Node #2: [56, 92, 15] from Operation: 79-64=15
Current State: 51:[56, 92, 15], Operations: ['79-64=15']
Exploring Operation: 92-56=36, Resulting Numbers: [15, 36]
Generated Node #3: [15, 36] from Operation: 92-56=36
Current State: 51:[15, 36], Operations: ['79-64=15', '92-56=36']
Exploring Operation: 15+36=51, Resulting Numbers: [51]
51,51 equal: Goal Reached
| 4 |
[
31,
15,
9,
15
] | 96 | [
"31-15=16",
"15-9=6",
"16*6=96"
] | Current State: 96:[31, 15, 9, 15], Operations: []
Exploring Operation: 31-15=16, Resulting Numbers: [9, 16]
Generated Node #2: [9, 16] from Operation: 31-15=16
Current State: 96:[9, 16], Operations: ['31-15=16']
Exploring Operation: 15-9=6, Resulting Numbers: [16, 6]
Generated Node #3: [16, 6] from Operation: 15-9=6
Current State: 96:[16, 6], Operations: ['31-15=16', '15-9=6']
Exploring Operation: 16*6=96, Resulting Numbers: [96]
96,96 equal: Goal Reached
| 4 |
[
82,
88,
18,
41
] | 52 | [
"82*18=1476",
"1476/41=36",
"88-36=52"
] | Current State: 52:[82, 88, 18, 41], Operations: []
Exploring Operation: 82*18=1476, Resulting Numbers: [88, 41, 1476]
Generated Node #2: [88, 41, 1476] from Operation: 82*18=1476
Current State: 52:[88, 41, 1476], Operations: ['82*18=1476']
Exploring Operation: 1476/41=36, Resulting Numbers: [88, 36]
Generated Node #3: [88, 36] from Operation: 1476/41=36
Current State: 52:[88, 36], Operations: ['82*18=1476', '1476/41=36']
Exploring Operation: 88-36=52, Resulting Numbers: [52]
52,52 equal: Goal Reached
| 4 |
[
88,
45,
2,
69
] | 76 | [
"69-45=24",
"24/2=12",
"88-12=76"
] | Current State: 76:[88, 45, 2, 69], Operations: []
Exploring Operation: 69-45=24, Resulting Numbers: [88, 2, 24]
Generated Node #2: [88, 2, 24] from Operation: 69-45=24
Current State: 76:[88, 2, 24], Operations: ['69-45=24']
Exploring Operation: 24/2=12, Resulting Numbers: [88, 12]
Generated Node #3: [88, 12] from Operation: 24/2=12
Current State: 76:[88, 12], Operations: ['69-45=24', '24/2=12']
Exploring Operation: 88-12=76, Resulting Numbers: [76]
76,76 equal: Goal Reached
| 4 |
[
5,
29,
94,
96
] | 36 | [
"5+29=34",
"96-94=2",
"34+2=36"
] | Current State: 36:[5, 29, 94, 96], Operations: []
Exploring Operation: 5+29=34, Resulting Numbers: [94, 96, 34]
Generated Node #2: [94, 96, 34] from Operation: 5+29=34
Current State: 36:[94, 96, 34], Operations: ['5+29=34']
Exploring Operation: 96-94=2, Resulting Numbers: [34, 2]
Generated Node #3: [34, 2] from Operation: 96-94=2
Current State: 36:[34, 2], Operations: ['5+29=34', '96-94=2']
Exploring Operation: 34+2=36, Resulting Numbers: [36]
36,36 equal: Goal Reached
| 4 |
[
89,
23,
25,
4
] | 83 | [
"89+23=112",
"25+4=29",
"112-29=83"
] | Current State: 83:[89, 23, 25, 4], Operations: []
Exploring Operation: 89+23=112, Resulting Numbers: [25, 4, 112]
Generated Node #2: [25, 4, 112] from Operation: 89+23=112
Current State: 83:[25, 4, 112], Operations: ['89+23=112']
Exploring Operation: 25+4=29, Resulting Numbers: [112, 29]
Generated Node #3: [112, 29] from Operation: 25+4=29
Current State: 83:[112, 29], Operations: ['89+23=112', '25+4=29']
Exploring Operation: 112-29=83, Resulting Numbers: [83]
83,83 equal: Goal Reached
| 4 |
[
10,
45,
65,
99
] | 81 | [
"65-10=55",
"45*99=4455",
"4455/55=81"
] | Current State: 81:[10, 45, 65, 99], Operations: []
Exploring Operation: 65-10=55, Resulting Numbers: [45, 99, 55]
Generated Node #2: [45, 99, 55] from Operation: 65-10=55
Current State: 81:[45, 99, 55], Operations: ['65-10=55']
Exploring Operation: 45*99=4455, Resulting Numbers: [55, 4455]
Generated Node #3: [55, 4455] from Operation: 45*99=4455
Current State: 81:[55, 4455], Operations: ['65-10=55', '45*99=4455']
Exploring Operation: 4455/55=81, Resulting Numbers: [81]
81,81 equal: Goal Reached
| 4 |
[
64,
34,
28,
51
] | 58 | [
"64*28=1792",
"34*51=1734",
"1792-1734=58"
] | Current State: 58:[64, 34, 28, 51], Operations: []
Exploring Operation: 64*28=1792, Resulting Numbers: [34, 51, 1792]
Generated Node #2: [34, 51, 1792] from Operation: 64*28=1792
Current State: 58:[34, 51, 1792], Operations: ['64*28=1792']
Exploring Operation: 34*51=1734, Resulting Numbers: [1792, 1734]
Generated Node #3: [1792, 1734] from Operation: 34*51=1734
Current State: 58:[1792, 1734], Operations: ['64*28=1792', '34*51=1734']
Exploring Operation: 1792-1734=58, Resulting Numbers: [58]
58,58 equal: Goal Reached
| 4 |
[
58,
50,
78,
54
] | 84 | [
"58+50=108",
"78-54=24",
"108-24=84"
] | Current State: 84:[58, 50, 78, 54], Operations: []
Exploring Operation: 58+50=108, Resulting Numbers: [78, 54, 108]
Generated Node #2: [78, 54, 108] from Operation: 58+50=108
Current State: 84:[78, 54, 108], Operations: ['58+50=108']
Exploring Operation: 78-54=24, Resulting Numbers: [108, 24]
Generated Node #3: [108, 24] from Operation: 78-54=24
Current State: 84:[108, 24], Operations: ['58+50=108', '78-54=24']
Exploring Operation: 108-24=84, Resulting Numbers: [84]
84,84 equal: Goal Reached
| 4 |
[
44,
86,
43,
20
] | 84 | [
"86/43=2",
"20*2=40",
"44+40=84"
] | Current State: 84:[44, 86, 43, 20], Operations: []
Exploring Operation: 86/43=2, Resulting Numbers: [44, 20, 2]
Generated Node #2: [44, 20, 2] from Operation: 86/43=2
Current State: 84:[44, 20, 2], Operations: ['86/43=2']
Exploring Operation: 20*2=40, Resulting Numbers: [44, 40]
Generated Node #3: [44, 40] from Operation: 20*2=40
Current State: 84:[44, 40], Operations: ['86/43=2', '20*2=40']
Exploring Operation: 44+40=84, Resulting Numbers: [84]
84,84 equal: Goal Reached
| 4 |
[
8,
5,
70,
3
] | 89 | [
"8*3=24",
"70-5=65",
"24+65=89"
] | Current State: 89:[8, 5, 70, 3], Operations: []
Exploring Operation: 8*3=24, Resulting Numbers: [5, 70, 24]
Generated Node #2: [5, 70, 24] from Operation: 8*3=24
Current State: 89:[5, 70, 24], Operations: ['8*3=24']
Exploring Operation: 70-5=65, Resulting Numbers: [24, 65]
Generated Node #3: [24, 65] from Operation: 70-5=65
Current State: 89:[24, 65], Operations: ['8*3=24', '70-5=65']
Exploring Operation: 24+65=89, Resulting Numbers: [89]
89,89 equal: Goal Reached
| 4 |
[
90,
88,
5,
84
] | 58 | [
"90-84=6",
"5*6=30",
"88-30=58"
] | Current State: 58:[90, 88, 5, 84], Operations: []
Exploring Operation: 90-84=6, Resulting Numbers: [88, 5, 6]
Generated Node #2: [88, 5, 6] from Operation: 90-84=6
Current State: 58:[88, 5, 6], Operations: ['90-84=6']
Exploring Operation: 5*6=30, Resulting Numbers: [88, 30]
Generated Node #3: [88, 30] from Operation: 5*6=30
Current State: 58:[88, 30], Operations: ['90-84=6', '5*6=30']
Exploring Operation: 88-30=58, Resulting Numbers: [58]
58,58 equal: Goal Reached
| 4 |
[
43,
98,
82,
2
] | 35 | [
"98-82=16",
"16/2=8",
"43-8=35"
] | Current State: 35:[43, 98, 82, 2], Operations: []
Exploring Operation: 98-82=16, Resulting Numbers: [43, 2, 16]
Generated Node #2: [43, 2, 16] from Operation: 98-82=16
Current State: 35:[43, 2, 16], Operations: ['98-82=16']
Exploring Operation: 16/2=8, Resulting Numbers: [43, 8]
Generated Node #3: [43, 8] from Operation: 16/2=8
Current State: 35:[43, 8], Operations: ['98-82=16', '16/2=8']
Exploring Operation: 43-8=35, Resulting Numbers: [35]
35,35 equal: Goal Reached
| 4 |
[
65,
43,
49,
11
] | 47 | [
"65-43=22",
"22/11=2",
"49-2=47"
] | Current State: 47:[65, 43, 49, 11], Operations: []
Exploring Operation: 65-43=22, Resulting Numbers: [49, 11, 22]
Generated Node #2: [49, 11, 22] from Operation: 65-43=22
Current State: 47:[49, 11, 22], Operations: ['65-43=22']
Exploring Operation: 22/11=2, Resulting Numbers: [49, 2]
Generated Node #3: [49, 2] from Operation: 22/11=2
Current State: 47:[49, 2], Operations: ['65-43=22', '22/11=2']
Exploring Operation: 49-2=47, Resulting Numbers: [47]
47,47 equal: Goal Reached
| 4 |
[
42,
78,
18,
10
] | 27 | [
"42+10=52",
"78*18=1404",
"1404/52=27"
] | Current State: 27:[42, 78, 18, 10], Operations: []
Exploring Operation: 42+10=52, Resulting Numbers: [78, 18, 52]
Generated Node #2: [78, 18, 52] from Operation: 42+10=52
Current State: 27:[78, 18, 52], Operations: ['42+10=52']
Exploring Operation: 78*18=1404, Resulting Numbers: [52, 1404]
Generated Node #3: [52, 1404] from Operation: 78*18=1404
Current State: 27:[52, 1404], Operations: ['42+10=52', '78*18=1404']
Exploring Operation: 1404/52=27, Resulting Numbers: [27]
27,27 equal: Goal Reached
| 4 |
[
43,
27,
79,
99
] | 90 | [
"43+27=70",
"99-79=20",
"70+20=90"
] | Current State: 90:[43, 27, 79, 99], Operations: []
Exploring Operation: 43+27=70, Resulting Numbers: [79, 99, 70]
Generated Node #2: [79, 99, 70] from Operation: 43+27=70
Current State: 90:[79, 99, 70], Operations: ['43+27=70']
Exploring Operation: 99-79=20, Resulting Numbers: [70, 20]
Generated Node #3: [70, 20] from Operation: 99-79=20
Current State: 90:[70, 20], Operations: ['43+27=70', '99-79=20']
Exploring Operation: 70+20=90, Resulting Numbers: [90]
90,90 equal: Goal Reached
| 4 |
[
31,
82,
3,
20
] | 96 | [
"31+82=113",
"20-3=17",
"113-17=96"
] | Current State: 96:[31, 82, 3, 20], Operations: []
Exploring Operation: 31+82=113, Resulting Numbers: [3, 20, 113]
Generated Node #2: [3, 20, 113] from Operation: 31+82=113
Current State: 96:[3, 20, 113], Operations: ['31+82=113']
Exploring Operation: 20-3=17, Resulting Numbers: [113, 17]
Generated Node #3: [113, 17] from Operation: 20-3=17
Current State: 96:[113, 17], Operations: ['31+82=113', '20-3=17']
Exploring Operation: 113-17=96, Resulting Numbers: [96]
96,96 equal: Goal Reached
| 4 |
[
90,
40,
75,
45
] | 24 | [
"90-45=45",
"40*45=1800",
"1800/75=24"
] | Current State: 24:[90, 40, 75, 45], Operations: []
Exploring Operation: 90-45=45, Resulting Numbers: [40, 75, 45]
Generated Node #2: [40, 75, 45] from Operation: 90-45=45
Current State: 24:[40, 75, 45], Operations: ['90-45=45']
Exploring Operation: 40*45=1800, Resulting Numbers: [75, 1800]
Generated Node #3: [75, 1800] from Operation: 40*45=1800
Current State: 24:[75, 1800], Operations: ['90-45=45', '40*45=1800']
Exploring Operation: 1800/75=24, Resulting Numbers: [24]
24,24 equal: Goal Reached
| 4 |
[
14,
98,
31,
56
] | 94 | [
"98/14=7",
"31+56=87",
"7+87=94"
] | Current State: 94:[14, 98, 31, 56], Operations: []
Exploring Operation: 98/14=7, Resulting Numbers: [31, 56, 7]
Generated Node #2: [31, 56, 7] from Operation: 98/14=7
Current State: 94:[31, 56, 7], Operations: ['98/14=7']
Exploring Operation: 31+56=87, Resulting Numbers: [7, 87]
Generated Node #3: [7, 87] from Operation: 31+56=87
Current State: 94:[7, 87], Operations: ['98/14=7', '31+56=87']
Exploring Operation: 7+87=94, Resulting Numbers: [94]
94,94 equal: Goal Reached
| 4 |
[
64,
65,
57,
1
] | 56 | [
"65-64=1",
"57*1=57",
"57-1=56"
] | Current State: 56:[64, 65, 57, 1], Operations: []
Exploring Operation: 65-64=1, Resulting Numbers: [57, 1, 1]
Generated Node #2: [57, 1, 1] from Operation: 65-64=1
Current State: 56:[57, 1, 1], Operations: ['65-64=1']
Exploring Operation: 57*1=57, Resulting Numbers: [57]
57,56 equal: Goal Reached
Exploring Operation: 57-1=56, Resulting Numbers: [56]
56,56 equal: Goal Reached
| 4 |
[
63,
78,
24,
21
] | 23 | [
"63-24=39",
"78/39=2",
"21+2=23"
] | Current State: 23:[63, 78, 24, 21], Operations: []
Exploring Operation: 63-24=39, Resulting Numbers: [78, 21, 39]
Generated Node #2: [78, 21, 39] from Operation: 63-24=39
Current State: 23:[78, 21, 39], Operations: ['63-24=39']
Exploring Operation: 78/39=2, Resulting Numbers: [21, 2]
Generated Node #3: [21, 2] from Operation: 78/39=2
Current State: 23:[21, 2], Operations: ['63-24=39', '78/39=2']
Exploring Operation: 21+2=23, Resulting Numbers: [23]
23,23 equal: Goal Reached
| 4 |
[
24,
60,
22,
57
] | 48 | [
"24*57=1368",
"60*22=1320",
"1368-1320=48"
] | Current State: 48:[24, 60, 22, 57], Operations: []
Exploring Operation: 24*57=1368, Resulting Numbers: [60, 22, 1368]
Generated Node #2: [60, 22, 1368] from Operation: 24*57=1368
Current State: 48:[60, 22, 1368], Operations: ['24*57=1368']
Exploring Operation: 60*22=1320, Resulting Numbers: [1368, 1320]
Generated Node #3: [1368, 1320] from Operation: 60*22=1320
Current State: 48:[1368, 1320], Operations: ['24*57=1368', '60*22=1320']
Exploring Operation: 1368-1320=48, Resulting Numbers: [48]
48,48 equal: Goal Reached
| 4 |
[
45,
40,
51,
9
] | 90 | [
"51-40=11",
"11-9=2",
"45*2=90"
] | Current State: 90:[45, 40, 51, 9], Operations: []
Exploring Operation: 51-40=11, Resulting Numbers: [45, 9, 11]
Generated Node #2: [45, 9, 11] from Operation: 51-40=11
Current State: 90:[45, 9, 11], Operations: ['51-40=11']
Exploring Operation: 11-9=2, Resulting Numbers: [45, 2]
Generated Node #3: [45, 2] from Operation: 11-9=2
Current State: 90:[45, 2], Operations: ['51-40=11', '11-9=2']
Exploring Operation: 45*2=90, Resulting Numbers: [90]
90,90 equal: Goal Reached
| 4 |
[
34,
41,
14,
37
] | 16 | [
"41-34=7",
"37-14=23",
"23-7=16"
] | Current State: 16:[34, 41, 14, 37], Operations: []
Exploring Operation: 41-34=7, Resulting Numbers: [14, 37, 7]
Generated Node #2: [14, 37, 7] from Operation: 41-34=7
Current State: 16:[14, 37, 7], Operations: ['41-34=7']
Exploring Operation: 37-14=23, Resulting Numbers: [7, 23]
Generated Node #3: [7, 23] from Operation: 37-14=23
Current State: 16:[7, 23], Operations: ['41-34=7', '37-14=23']
Exploring Operation: 23-7=16, Resulting Numbers: [16]
16,16 equal: Goal Reached
| 4 |
[
49,
30,
96,
86
] | 89 | [
"49+30=79",
"96-86=10",
"79+10=89"
] | Current State: 89:[49, 30, 96, 86], Operations: []
Exploring Operation: 49+30=79, Resulting Numbers: [96, 86, 79]
Generated Node #2: [96, 86, 79] from Operation: 49+30=79
Current State: 89:[96, 86, 79], Operations: ['49+30=79']
Exploring Operation: 96-86=10, Resulting Numbers: [79, 10]
Generated Node #3: [79, 10] from Operation: 96-86=10
Current State: 89:[79, 10], Operations: ['49+30=79', '96-86=10']
Exploring Operation: 79+10=89, Resulting Numbers: [89]
89,89 equal: Goal Reached
| 4 |
[
6,
1,
88,
5
] | 16 | [
"5-1=4",
"88/4=22",
"22-6=16"
] | Current State: 16:[6, 1, 88, 5], Operations: []
Exploring Operation: 5-1=4, Resulting Numbers: [6, 88, 4]
Generated Node #2: [6, 88, 4] from Operation: 5-1=4
Current State: 16:[6, 88, 4], Operations: ['5-1=4']
Exploring Operation: 88/4=22, Resulting Numbers: [6, 22]
Generated Node #3: [6, 22] from Operation: 88/4=22
Current State: 16:[6, 22], Operations: ['5-1=4', '88/4=22']
Exploring Operation: 22-6=16, Resulting Numbers: [16]
16,16 equal: Goal Reached
| 4 |
[
50,
3,
42,
40
] | 94 | [
"50-3=47",
"42-40=2",
"47*2=94"
] | Current State: 94:[50, 3, 42, 40], Operations: []
Exploring Operation: 50-3=47, Resulting Numbers: [42, 40, 47]
Generated Node #2: [42, 40, 47] from Operation: 50-3=47
Current State: 94:[42, 40, 47], Operations: ['50-3=47']
Exploring Operation: 42-40=2, Resulting Numbers: [47, 2]
Generated Node #3: [47, 2] from Operation: 42-40=2
Current State: 94:[47, 2], Operations: ['50-3=47', '42-40=2']
Exploring Operation: 47*2=94, Resulting Numbers: [94]
94,94 equal: Goal Reached
| 4 |
[
40,
13,
16,
80
] | 58 | [
"40+13=53",
"80/16=5",
"53+5=58"
] | Current State: 58:[40, 13, 16, 80], Operations: []
Exploring Operation: 40+13=53, Resulting Numbers: [16, 80, 53]
Generated Node #2: [16, 80, 53] from Operation: 40+13=53
Current State: 58:[16, 80, 53], Operations: ['40+13=53']
Exploring Operation: 80/16=5, Resulting Numbers: [53, 5]
Generated Node #3: [53, 5] from Operation: 80/16=5
Current State: 58:[53, 5], Operations: ['40+13=53', '80/16=5']
Exploring Operation: 53+5=58, Resulting Numbers: [58]
58,58 equal: Goal Reached
| 4 |
[
33,
49,
69,
46
] | 71 | [
"33*46=1518",
"1518/69=22",
"49+22=71"
] | Current State: 71:[33, 49, 69, 46], Operations: []
Exploring Operation: 33*46=1518, Resulting Numbers: [49, 69, 1518]
Generated Node #2: [49, 69, 1518] from Operation: 33*46=1518
Current State: 71:[49, 69, 1518], Operations: ['33*46=1518']
Exploring Operation: 1518/69=22, Resulting Numbers: [49, 22]
Generated Node #3: [49, 22] from Operation: 1518/69=22
Current State: 71:[49, 22], Operations: ['33*46=1518', '1518/69=22']
Exploring Operation: 49+22=71, Resulting Numbers: [71]
71,71 equal: Goal Reached
| 4 |
[
9,
79,
4,
20
] | 86 | [
"79-9=70",
"20-4=16",
"70+16=86"
] | Current State: 86:[9, 79, 4, 20], Operations: []
Exploring Operation: 79-9=70, Resulting Numbers: [4, 20, 70]
Generated Node #2: [4, 20, 70] from Operation: 79-9=70
Current State: 86:[4, 20, 70], Operations: ['79-9=70']
Exploring Operation: 20-4=16, Resulting Numbers: [70, 16]
Generated Node #3: [70, 16] from Operation: 20-4=16
Current State: 86:[70, 16], Operations: ['79-9=70', '20-4=16']
Exploring Operation: 70+16=86, Resulting Numbers: [86]
86,86 equal: Goal Reached
| 4 |
[
60,
94,
30,
69
] | 12 | [
"94-30=64",
"69-64=5",
"60/5=12"
] | Current State: 12:[60, 94, 30, 69], Operations: []
Exploring Operation: 94-30=64, Resulting Numbers: [60, 69, 64]
Generated Node #2: [60, 69, 64] from Operation: 94-30=64
Current State: 12:[60, 69, 64], Operations: ['94-30=64']
Exploring Operation: 69-64=5, Resulting Numbers: [60, 5]
Generated Node #3: [60, 5] from Operation: 69-64=5
Current State: 12:[60, 5], Operations: ['94-30=64', '69-64=5']
Exploring Operation: 60/5=12, Resulting Numbers: [12]
12,12 equal: Goal Reached
| 4 |
[
42,
1,
71,
2
] | 58 | [
"42*1=42",
"71-42=29",
"2*29=58"
] | Current State: 58:[42, 1, 71, 2], Operations: []
Exploring Operation: 42*1=42, Resulting Numbers: [71, 2, 42]
Generated Node #2: [71, 2, 42] from Operation: 42*1=42
Current State: 58:[71, 2, 42], Operations: ['42*1=42']
Exploring Operation: 71-42=29, Resulting Numbers: [2, 29]
Generated Node #3: [2, 29] from Operation: 71-42=29
Current State: 58:[2, 29], Operations: ['42*1=42', '71-42=29']
Exploring Operation: 2*29=58, Resulting Numbers: [58]
58,58 equal: Goal Reached
| 4 |
[
77,
1,
66,
37
] | 25 | [
"77+1=78",
"66+37=103",
"103-78=25"
] | Current State: 25:[77, 1, 66, 37], Operations: []
Exploring Operation: 77+1=78, Resulting Numbers: [66, 37, 78]
Generated Node #2: [66, 37, 78] from Operation: 77+1=78
Current State: 25:[66, 37, 78], Operations: ['77+1=78']
Exploring Operation: 66+37=103, Resulting Numbers: [78, 103]
Generated Node #3: [78, 103] from Operation: 66+37=103
Current State: 25:[78, 103], Operations: ['77+1=78', '66+37=103']
Exploring Operation: 103-78=25, Resulting Numbers: [25]
25,25 equal: Goal Reached
| 4 |
[
28,
3,
53,
16
] | 100 | [
"28+3=31",
"53+16=69",
"31+69=100"
] | Current State: 100:[28, 3, 53, 16], Operations: []
Exploring Operation: 28+3=31, Resulting Numbers: [53, 16, 31]
Generated Node #2: [53, 16, 31] from Operation: 28+3=31
Current State: 100:[53, 16, 31], Operations: ['28+3=31']
Exploring Operation: 53+16=69, Resulting Numbers: [31, 69]
Generated Node #3: [31, 69] from Operation: 53+16=69
Current State: 100:[31, 69], Operations: ['28+3=31', '53+16=69']
Exploring Operation: 31+69=100, Resulting Numbers: [100]
100,100 equal: Goal Reached
| 4 |
[
71,
96,
13,
7
] | 76 | [
"71+96=167",
"13*7=91",
"167-91=76"
] | Current State: 76:[71, 96, 13, 7], Operations: []
Exploring Operation: 71+96=167, Resulting Numbers: [13, 7, 167]
Generated Node #2: [13, 7, 167] from Operation: 71+96=167
Current State: 76:[13, 7, 167], Operations: ['71+96=167']
Exploring Operation: 13*7=91, Resulting Numbers: [167, 91]
Generated Node #3: [167, 91] from Operation: 13*7=91
Current State: 76:[167, 91], Operations: ['71+96=167', '13*7=91']
Exploring Operation: 167-91=76, Resulting Numbers: [76]
76,76 equal: Goal Reached
| 4 |
[
85,
98,
13,
62
] | 83 | [
"62-13=49",
"98/49=2",
"85-2=83"
] | Current State: 83:[85, 98, 13, 62], Operations: []
Exploring Operation: 62-13=49, Resulting Numbers: [85, 98, 49]
Generated Node #2: [85, 98, 49] from Operation: 62-13=49
Current State: 83:[85, 98, 49], Operations: ['62-13=49']
Exploring Operation: 98/49=2, Resulting Numbers: [85, 2]
Generated Node #3: [85, 2] from Operation: 98/49=2
Current State: 83:[85, 2], Operations: ['62-13=49', '98/49=2']
Exploring Operation: 85-2=83, Resulting Numbers: [83]
83,83 equal: Goal Reached
| 4 |
[
67,
23,
4,
85
] | 91 | [
"67-23=44",
"4*44=176",
"176-85=91"
] | Current State: 91:[67, 23, 4, 85], Operations: []
Exploring Operation: 67-23=44, Resulting Numbers: [4, 85, 44]
Generated Node #2: [4, 85, 44] from Operation: 67-23=44
Current State: 91:[4, 85, 44], Operations: ['67-23=44']
Exploring Operation: 4*44=176, Resulting Numbers: [85, 176]
Generated Node #3: [85, 176] from Operation: 4*44=176
Current State: 91:[85, 176], Operations: ['67-23=44', '4*44=176']
Exploring Operation: 176-85=91, Resulting Numbers: [91]
91,91 equal: Goal Reached
| 4 |
[
34,
2,
31,
85
] | 92 | [
"31+85=116",
"116/2=58",
"34+58=92"
] | Current State: 92:[34, 2, 31, 85], Operations: []
Exploring Operation: 31+85=116, Resulting Numbers: [34, 2, 116]
Generated Node #2: [34, 2, 116] from Operation: 31+85=116
Current State: 92:[34, 2, 116], Operations: ['31+85=116']
Exploring Operation: 116/2=58, Resulting Numbers: [34, 58]
Generated Node #3: [34, 58] from Operation: 116/2=58
Current State: 92:[34, 58], Operations: ['31+85=116', '116/2=58']
Exploring Operation: 34+58=92, Resulting Numbers: [92]
92,92 equal: Goal Reached
| 4 |
[
30,
30,
46,
49
] | 57 | [
"30+30=60",
"49-46=3",
"60-3=57"
] | Current State: 57:[30, 30, 46, 49], Operations: []
Exploring Operation: 30+30=60, Resulting Numbers: [46, 49, 60]
Generated Node #2: [46, 49, 60] from Operation: 30+30=60
Current State: 57:[46, 49, 60], Operations: ['30+30=60']
Exploring Operation: 49-46=3, Resulting Numbers: [60, 3]
Generated Node #3: [60, 3] from Operation: 49-46=3
Current State: 57:[60, 3], Operations: ['30+30=60', '49-46=3']
Exploring Operation: 60-3=57, Resulting Numbers: [57]
57,57 equal: Goal Reached
| 4 |
[
52,
16,
22,
14
] | 54 | [
"22-14=8",
"16/8=2",
"52+2=54"
] | Current State: 54:[52, 16, 22, 14], Operations: []
Exploring Operation: 22-14=8, Resulting Numbers: [52, 16, 8]
Generated Node #2: [52, 16, 8] from Operation: 22-14=8
Current State: 54:[52, 16, 8], Operations: ['22-14=8']
Exploring Operation: 16/8=2, Resulting Numbers: [52, 2]
Generated Node #3: [52, 2] from Operation: 16/8=2
Current State: 54:[52, 2], Operations: ['22-14=8', '16/8=2']
Exploring Operation: 52+2=54, Resulting Numbers: [54]
54,54 equal: Goal Reached
| 4 |
[
70,
15,
39,
7
] | 14 | [
"70/7=10",
"39-15=24",
"24-10=14"
] | Current State: 14:[70, 15, 39, 7], Operations: []
Exploring Operation: 70/7=10, Resulting Numbers: [15, 39, 10]
Generated Node #2: [15, 39, 10] from Operation: 70/7=10
Current State: 14:[15, 39, 10], Operations: ['70/7=10']
Exploring Operation: 39-15=24, Resulting Numbers: [10, 24]
Generated Node #3: [10, 24] from Operation: 39-15=24
Current State: 14:[10, 24], Operations: ['70/7=10', '39-15=24']
Exploring Operation: 24-10=14, Resulting Numbers: [14]
14,14 equal: Goal Reached
| 4 |
[
86,
63,
92,
40
] | 94 | [
"86+40=126",
"126/63=2",
"92+2=94"
] | Current State: 94:[86, 63, 92, 40], Operations: []
Exploring Operation: 86+40=126, Resulting Numbers: [63, 92, 126]
Generated Node #2: [63, 92, 126] from Operation: 86+40=126
Current State: 94:[63, 92, 126], Operations: ['86+40=126']
Exploring Operation: 126/63=2, Resulting Numbers: [92, 2]
Generated Node #3: [92, 2] from Operation: 126/63=2
Current State: 94:[92, 2], Operations: ['86+40=126', '126/63=2']
Exploring Operation: 92+2=94, Resulting Numbers: [94]
94,94 equal: Goal Reached
| 4 |
[
91,
94,
12,
70
] | 89 | [
"94-70=24",
"24/12=2",
"91-2=89"
] | Current State: 89:[91, 94, 12, 70], Operations: []
Exploring Operation: 94-70=24, Resulting Numbers: [91, 12, 24]
Generated Node #2: [91, 12, 24] from Operation: 94-70=24
Current State: 89:[91, 12, 24], Operations: ['94-70=24']
Exploring Operation: 24/12=2, Resulting Numbers: [91, 2]
Generated Node #3: [91, 2] from Operation: 24/12=2
Current State: 89:[91, 2], Operations: ['94-70=24', '24/12=2']
Exploring Operation: 91-2=89, Resulting Numbers: [89]
89,89 equal: Goal Reached
| 4 |
[
24,
33,
50,
27
] | 68 | [
"33-24=9",
"50+27=77",
"77-9=68"
] | Current State: 68:[24, 33, 50, 27], Operations: []
Exploring Operation: 33-24=9, Resulting Numbers: [50, 27, 9]
Generated Node #2: [50, 27, 9] from Operation: 33-24=9
Current State: 68:[50, 27, 9], Operations: ['33-24=9']
Exploring Operation: 50+27=77, Resulting Numbers: [9, 77]
Generated Node #3: [9, 77] from Operation: 50+27=77
Current State: 68:[9, 77], Operations: ['33-24=9', '50+27=77']
Exploring Operation: 77-9=68, Resulting Numbers: [68]
68,68 equal: Goal Reached
| 4 |
[
59,
6,
95,
65
] | 35 | [
"59+6=65",
"95-65=30",
"65-30=35"
] | Current State: 35:[59, 6, 95, 65], Operations: []
Exploring Operation: 59+6=65, Resulting Numbers: [95, 65, 65]
Generated Node #2: [95, 65, 65] from Operation: 59+6=65
Current State: 35:[95, 65, 65], Operations: ['59+6=65']
Exploring Operation: 95-65=30, Resulting Numbers: [30]
30,35 equal: Goal Reached
Exploring Operation: 65-30=35, Resulting Numbers: [35]
35,35 equal: Goal Reached
| 4 |
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