nums listlengths 4 4 | target int64 10 100 | solution listlengths 3 3 | optimal_path stringlengths 282 529 | start_size int64 4 4 |
|---|---|---|---|---|
[
31,
26,
16,
84
] | 20 | [
"31-26=5",
"16+84=100",
"100/5=20"
] | Current State: 20:[31, 26, 16, 84], Operations: []
Exploring Operation: 31-26=5, Resulting Numbers: [16, 84, 5]
Generated Node #2: [16, 84, 5] from Operation: 31-26=5
Current State: 20:[16, 84, 5], Operations: ['31-26=5']
Exploring Operation: 16+84=100, Resulting Numbers: [5, 100]
Generated Node #3: [5, 100] from Operation: 16+84=100
Current State: 20:[5, 100], Operations: ['31-26=5', '16+84=100']
Exploring Operation: 100/5=20, Resulting Numbers: [20]
20,20 equal: Goal Reached
| 4 |
[
62,
30,
36,
15
] | 88 | [
"62*30=1860",
"1860/15=124",
"124-36=88"
] | Current State: 88:[62, 30, 36, 15], Operations: []
Exploring Operation: 62*30=1860, Resulting Numbers: [36, 15, 1860]
Generated Node #2: [36, 15, 1860] from Operation: 62*30=1860
Current State: 88:[36, 15, 1860], Operations: ['62*30=1860']
Exploring Operation: 1860/15=124, Resulting Numbers: [36, 124]
Generated Node #3: [36, 124] from Operation: 1860/15=124
Current State: 88:[36, 124], Operations: ['62*30=1860', '1860/15=124']
Exploring Operation: 124-36=88, Resulting Numbers: [88]
88,88 equal: Goal Reached
| 4 |
[
70,
91,
91,
93
] | 19 | [
"91-70=21",
"93-91=2",
"21-2=19"
] | Current State: 19:[70, 91, 91, 93], Operations: []
Exploring Operation: 91-70=21, Resulting Numbers: [93, 21]
Generated Node #2: [93, 21] from Operation: 91-70=21
Current State: 19:[93, 21], Operations: ['91-70=21']
Exploring Operation: 93-91=2, Resulting Numbers: [21, 2]
Generated Node #3: [21, 2] from Operation: 93-91=2
Current State: 19:[21, 2], Operations: ['91-70=21', '93-91=2']
Exploring Operation: 21-2=19, Resulting Numbers: [19]
19,19 equal: Goal Reached
| 4 |
[
7,
5,
24,
48
] | 24 | [
"7+5=12",
"48/24=2",
"12*2=24"
] | Current State: 24:[7, 5, 24, 48], Operations: []
Exploring Operation: 7+5=12, Resulting Numbers: [24, 48, 12]
Generated Node #2: [24, 48, 12] from Operation: 7+5=12
Current State: 24:[24, 48, 12], Operations: ['7+5=12']
Exploring Operation: 48/24=2, Resulting Numbers: [12, 2]
Generated Node #3: [12, 2] from Operation: 48/24=2
Current State: 24:[12, 2], Operations: ['7+5=12', '48/24=2']
Exploring Operation: 12*2=24, Resulting Numbers: [24]
24,24 equal: Goal Reached
| 4 |
[
2,
50,
81,
55
] | 38 | [
"50+81=131",
"131-55=76",
"76/2=38"
] | Current State: 38:[2, 50, 81, 55], Operations: []
Exploring Operation: 50+81=131, Resulting Numbers: [2, 55, 131]
Generated Node #2: [2, 55, 131] from Operation: 50+81=131
Current State: 38:[2, 55, 131], Operations: ['50+81=131']
Exploring Operation: 131-55=76, Resulting Numbers: [2, 76]
Generated Node #3: [2, 76] from Operation: 131-55=76
Current State: 38:[2, 76], Operations: ['50+81=131', '131-55=76']
Exploring Operation: 76/2=38, Resulting Numbers: [38]
38,38 equal: Goal Reached
| 4 |
[
76,
32,
34,
86
] | 96 | [
"76-32=44",
"86-34=52",
"44+52=96"
] | Current State: 96:[76, 32, 34, 86], Operations: []
Exploring Operation: 76-32=44, Resulting Numbers: [34, 86, 44]
Generated Node #2: [34, 86, 44] from Operation: 76-32=44
Current State: 96:[34, 86, 44], Operations: ['76-32=44']
Exploring Operation: 86-34=52, Resulting Numbers: [44, 52]
Generated Node #3: [44, 52] from Operation: 86-34=52
Current State: 96:[44, 52], Operations: ['76-32=44', '86-34=52']
Exploring Operation: 44+52=96, Resulting Numbers: [96]
96,96 equal: Goal Reached
| 4 |
[
32,
3,
14,
71
] | 51 | [
"71-14=57",
"57/3=19",
"32+19=51"
] | Current State: 51:[32, 3, 14, 71], Operations: []
Exploring Operation: 71-14=57, Resulting Numbers: [32, 3, 57]
Generated Node #2: [32, 3, 57] from Operation: 71-14=57
Current State: 51:[32, 3, 57], Operations: ['71-14=57']
Exploring Operation: 57/3=19, Resulting Numbers: [32, 19]
Generated Node #3: [32, 19] from Operation: 57/3=19
Current State: 51:[32, 19], Operations: ['71-14=57', '57/3=19']
Exploring Operation: 32+19=51, Resulting Numbers: [51]
51,51 equal: Goal Reached
| 4 |
[
5,
56,
28,
67
] | 37 | [
"28+67=95",
"95/5=19",
"56-19=37"
] | Current State: 37:[5, 56, 28, 67], Operations: []
Exploring Operation: 28+67=95, Resulting Numbers: [5, 56, 95]
Generated Node #2: [5, 56, 95] from Operation: 28+67=95
Current State: 37:[5, 56, 95], Operations: ['28+67=95']
Exploring Operation: 95/5=19, Resulting Numbers: [56, 19]
Generated Node #3: [56, 19] from Operation: 95/5=19
Current State: 37:[56, 19], Operations: ['28+67=95', '95/5=19']
Exploring Operation: 56-19=37, Resulting Numbers: [37]
37,37 equal: Goal Reached
| 4 |
[
73,
40,
38,
11
] | 95 | [
"40-38=2",
"11*2=22",
"73+22=95"
] | Current State: 95:[73, 40, 38, 11], Operations: []
Exploring Operation: 40-38=2, Resulting Numbers: [73, 11, 2]
Generated Node #2: [73, 11, 2] from Operation: 40-38=2
Current State: 95:[73, 11, 2], Operations: ['40-38=2']
Exploring Operation: 11*2=22, Resulting Numbers: [73, 22]
Generated Node #3: [73, 22] from Operation: 11*2=22
Current State: 95:[73, 22], Operations: ['40-38=2', '11*2=22']
Exploring Operation: 73+22=95, Resulting Numbers: [95]
95,95 equal: Goal Reached
| 4 |
[
1,
76,
53,
36
] | 94 | [
"1+76=77",
"53-36=17",
"77+17=94"
] | Current State: 94:[1, 76, 53, 36], Operations: []
Exploring Operation: 1+76=77, Resulting Numbers: [53, 36, 77]
Generated Node #2: [53, 36, 77] from Operation: 1+76=77
Current State: 94:[53, 36, 77], Operations: ['1+76=77']
Exploring Operation: 53-36=17, Resulting Numbers: [77, 17]
Generated Node #3: [77, 17] from Operation: 53-36=17
Current State: 94:[77, 17], Operations: ['1+76=77', '53-36=17']
Exploring Operation: 77+17=94, Resulting Numbers: [94]
94,94 equal: Goal Reached
| 4 |
[
34,
61,
20,
73
] | 80 | [
"61-34=27",
"73-20=53",
"27+53=80"
] | Current State: 80:[34, 61, 20, 73], Operations: []
Exploring Operation: 61-34=27, Resulting Numbers: [20, 73, 27]
Generated Node #2: [20, 73, 27] from Operation: 61-34=27
Current State: 80:[20, 73, 27], Operations: ['61-34=27']
Exploring Operation: 73-20=53, Resulting Numbers: [27, 53]
Generated Node #3: [27, 53] from Operation: 73-20=53
Current State: 80:[27, 53], Operations: ['61-34=27', '73-20=53']
Exploring Operation: 27+53=80, Resulting Numbers: [80]
80,80 equal: Goal Reached
| 4 |
[
9,
14,
14,
51
] | 43 | [
"51-9=42",
"14/14=1",
"42+1=43"
] | Current State: 43:[9, 14, 14, 51], Operations: []
Exploring Operation: 51-9=42, Resulting Numbers: [14, 14, 42]
Generated Node #2: [14, 14, 42] from Operation: 51-9=42
Current State: 43:[14, 14, 42], Operations: ['51-9=42']
Exploring Operation: 14/14=1, Resulting Numbers: [42, 1]
Generated Node #3: [42, 1] from Operation: 14/14=1
Current State: 43:[42, 1], Operations: ['51-9=42', '14/14=1']
Exploring Operation: 42+1=43, Resulting Numbers: [43]
43,43 equal: Goal Reached
| 4 |
[
36,
18,
10,
50
] | 23 | [
"36-18=18",
"50/10=5",
"18+5=23"
] | Current State: 23:[36, 18, 10, 50], Operations: []
Exploring Operation: 36-18=18, Resulting Numbers: [10, 50, 18]
Generated Node #2: [10, 50, 18] from Operation: 36-18=18
Current State: 23:[10, 50, 18], Operations: ['36-18=18']
Exploring Operation: 50/10=5, Resulting Numbers: [18, 5]
Generated Node #3: [18, 5] from Operation: 50/10=5
Current State: 23:[18, 5], Operations: ['36-18=18', '50/10=5']
Exploring Operation: 18+5=23, Resulting Numbers: [23]
23,23 equal: Goal Reached
| 4 |
[
95,
40,
31,
58
] | 82 | [
"95-40=55",
"58-31=27",
"55+27=82"
] | Current State: 82:[95, 40, 31, 58], Operations: []
Exploring Operation: 95-40=55, Resulting Numbers: [31, 58, 55]
Generated Node #2: [31, 58, 55] from Operation: 95-40=55
Current State: 82:[31, 58, 55], Operations: ['95-40=55']
Exploring Operation: 58-31=27, Resulting Numbers: [55, 27]
Generated Node #3: [55, 27] from Operation: 58-31=27
Current State: 82:[55, 27], Operations: ['95-40=55', '58-31=27']
Exploring Operation: 55+27=82, Resulting Numbers: [82]
82,82 equal: Goal Reached
| 4 |
[
51,
70,
4,
76
] | 75 | [
"76-70=6",
"4*6=24",
"51+24=75"
] | Current State: 75:[51, 70, 4, 76], Operations: []
Exploring Operation: 76-70=6, Resulting Numbers: [51, 4, 6]
Generated Node #2: [51, 4, 6] from Operation: 76-70=6
Current State: 75:[51, 4, 6], Operations: ['76-70=6']
Exploring Operation: 4*6=24, Resulting Numbers: [51, 24]
Generated Node #3: [51, 24] from Operation: 4*6=24
Current State: 75:[51, 24], Operations: ['76-70=6', '4*6=24']
Exploring Operation: 51+24=75, Resulting Numbers: [75]
75,75 equal: Goal Reached
| 4 |
[
48,
44,
36,
86
] | 77 | [
"48-44=4",
"36/4=9",
"86-9=77"
] | Current State: 77:[48, 44, 36, 86], Operations: []
Exploring Operation: 48-44=4, Resulting Numbers: [36, 86, 4]
Generated Node #2: [36, 86, 4] from Operation: 48-44=4
Current State: 77:[36, 86, 4], Operations: ['48-44=4']
Exploring Operation: 36/4=9, Resulting Numbers: [86, 9]
Generated Node #3: [86, 9] from Operation: 36/4=9
Current State: 77:[86, 9], Operations: ['48-44=4', '36/4=9']
Exploring Operation: 86-9=77, Resulting Numbers: [77]
77,77 equal: Goal Reached
| 4 |
[
98,
30,
7,
64
] | 71 | [
"98+30=128",
"64-7=57",
"128-57=71"
] | Current State: 71:[98, 30, 7, 64], Operations: []
Exploring Operation: 98+30=128, Resulting Numbers: [7, 64, 128]
Generated Node #2: [7, 64, 128] from Operation: 98+30=128
Current State: 71:[7, 64, 128], Operations: ['98+30=128']
Exploring Operation: 64-7=57, Resulting Numbers: [128, 57]
Generated Node #3: [128, 57] from Operation: 64-7=57
Current State: 71:[128, 57], Operations: ['98+30=128', '64-7=57']
Exploring Operation: 128-57=71, Resulting Numbers: [71]
71,71 equal: Goal Reached
| 4 |
[
25,
24,
51,
21
] | 42 | [
"25+24=49",
"51-49=2",
"21*2=42"
] | Current State: 42:[25, 24, 51, 21], Operations: []
Exploring Operation: 25+24=49, Resulting Numbers: [51, 21, 49]
Generated Node #2: [51, 21, 49] from Operation: 25+24=49
Current State: 42:[51, 21, 49], Operations: ['25+24=49']
Exploring Operation: 51-49=2, Resulting Numbers: [21, 2]
Generated Node #3: [21, 2] from Operation: 51-49=2
Current State: 42:[21, 2], Operations: ['25+24=49', '51-49=2']
Exploring Operation: 21*2=42, Resulting Numbers: [42]
42,42 equal: Goal Reached
| 4 |
[
16,
18,
11,
54
] | 76 | [
"18-16=2",
"11*2=22",
"54+22=76"
] | Current State: 76:[16, 18, 11, 54], Operations: []
Exploring Operation: 18-16=2, Resulting Numbers: [11, 54, 2]
Generated Node #2: [11, 54, 2] from Operation: 18-16=2
Current State: 76:[11, 54, 2], Operations: ['18-16=2']
Exploring Operation: 11*2=22, Resulting Numbers: [54, 22]
Generated Node #3: [54, 22] from Operation: 11*2=22
Current State: 76:[54, 22], Operations: ['18-16=2', '11*2=22']
Exploring Operation: 54+22=76, Resulting Numbers: [76]
76,76 equal: Goal Reached
| 4 |
[
9,
69,
3,
92
] | 66 | [
"9+69=78",
"78/3=26",
"92-26=66"
] | Current State: 66:[9, 69, 3, 92], Operations: []
Exploring Operation: 9+69=78, Resulting Numbers: [3, 92, 78]
Generated Node #2: [3, 92, 78] from Operation: 9+69=78
Current State: 66:[3, 92, 78], Operations: ['9+69=78']
Exploring Operation: 78/3=26, Resulting Numbers: [92, 26]
Generated Node #3: [92, 26] from Operation: 78/3=26
Current State: 66:[92, 26], Operations: ['9+69=78', '78/3=26']
Exploring Operation: 92-26=66, Resulting Numbers: [66]
66,66 equal: Goal Reached
| 4 |
[
29,
42,
92,
58
] | 79 | [
"29+42=71",
"92+58=150",
"150-71=79"
] | Current State: 79:[29, 42, 92, 58], Operations: []
Exploring Operation: 29+42=71, Resulting Numbers: [92, 58, 71]
Generated Node #2: [92, 58, 71] from Operation: 29+42=71
Current State: 79:[92, 58, 71], Operations: ['29+42=71']
Exploring Operation: 92+58=150, Resulting Numbers: [71, 150]
Generated Node #3: [71, 150] from Operation: 92+58=150
Current State: 79:[71, 150], Operations: ['29+42=71', '92+58=150']
Exploring Operation: 150-71=79, Resulting Numbers: [79]
79,79 equal: Goal Reached
| 4 |
[
65,
90,
80,
94
] | 67 | [
"65*94=6110",
"6110-80=6030",
"6030/90=67"
] | Current State: 67:[65, 90, 80, 94], Operations: []
Exploring Operation: 65*94=6110, Resulting Numbers: [90, 80, 6110]
Generated Node #2: [90, 80, 6110] from Operation: 65*94=6110
Current State: 67:[90, 80, 6110], Operations: ['65*94=6110']
Exploring Operation: 6110-80=6030, Resulting Numbers: [90, 6030]
Generated Node #3: [90, 6030] from Operation: 6110-80=6030
Current State: 67:[90, 6030], Operations: ['65*94=6110', '6110-80=6030']
Exploring Operation: 6030/90=67, Resulting Numbers: [67]
67,67 equal: Goal Reached
| 4 |
[
31,
21,
22,
38
] | 66 | [
"38-31=7",
"21*22=462",
"462/7=66"
] | Current State: 66:[31, 21, 22, 38], Operations: []
Exploring Operation: 38-31=7, Resulting Numbers: [21, 22, 7]
Generated Node #2: [21, 22, 7] from Operation: 38-31=7
Current State: 66:[21, 22, 7], Operations: ['38-31=7']
Exploring Operation: 21*22=462, Resulting Numbers: [7, 462]
Generated Node #3: [7, 462] from Operation: 21*22=462
Current State: 66:[7, 462], Operations: ['38-31=7', '21*22=462']
Exploring Operation: 462/7=66, Resulting Numbers: [66]
66,66 equal: Goal Reached
| 4 |
[
42,
44,
6,
94
] | 57 | [
"42/6=7",
"94-44=50",
"7+50=57"
] | Current State: 57:[42, 44, 6, 94], Operations: []
Exploring Operation: 42/6=7, Resulting Numbers: [44, 94, 7]
Generated Node #2: [44, 94, 7] from Operation: 42/6=7
Current State: 57:[44, 94, 7], Operations: ['42/6=7']
Exploring Operation: 94-44=50, Resulting Numbers: [7, 50]
Generated Node #3: [7, 50] from Operation: 94-44=50
Current State: 57:[7, 50], Operations: ['42/6=7', '94-44=50']
Exploring Operation: 7+50=57, Resulting Numbers: [57]
57,57 equal: Goal Reached
| 4 |
[
39,
44,
64,
2
] | 79 | [
"64-44=20",
"2*20=40",
"39+40=79"
] | Current State: 79:[39, 44, 64, 2], Operations: []
Exploring Operation: 64-44=20, Resulting Numbers: [39, 2, 20]
Generated Node #2: [39, 2, 20] from Operation: 64-44=20
Current State: 79:[39, 2, 20], Operations: ['64-44=20']
Exploring Operation: 2*20=40, Resulting Numbers: [39, 40]
Generated Node #3: [39, 40] from Operation: 2*20=40
Current State: 79:[39, 40], Operations: ['64-44=20', '2*20=40']
Exploring Operation: 39+40=79, Resulting Numbers: [79]
79,79 equal: Goal Reached
| 4 |
[
90,
57,
66,
54
] | 44 | [
"66-57=9",
"90/9=10",
"54-10=44"
] | Current State: 44:[90, 57, 66, 54], Operations: []
Exploring Operation: 66-57=9, Resulting Numbers: [90, 54, 9]
Generated Node #2: [90, 54, 9] from Operation: 66-57=9
Current State: 44:[90, 54, 9], Operations: ['66-57=9']
Exploring Operation: 90/9=10, Resulting Numbers: [54, 10]
Generated Node #3: [54, 10] from Operation: 90/9=10
Current State: 44:[54, 10], Operations: ['66-57=9', '90/9=10']
Exploring Operation: 54-10=44, Resulting Numbers: [44]
44,44 equal: Goal Reached
| 4 |
[
92,
3,
15,
99
] | 66 | [
"92-15=77",
"99-77=22",
"3*22=66"
] | Current State: 66:[92, 3, 15, 99], Operations: []
Exploring Operation: 92-15=77, Resulting Numbers: [3, 99, 77]
Generated Node #2: [3, 99, 77] from Operation: 92-15=77
Current State: 66:[3, 99, 77], Operations: ['92-15=77']
Exploring Operation: 99-77=22, Resulting Numbers: [3, 22]
Generated Node #3: [3, 22] from Operation: 99-77=22
Current State: 66:[3, 22], Operations: ['92-15=77', '99-77=22']
Exploring Operation: 3*22=66, Resulting Numbers: [66]
66,66 equal: Goal Reached
| 4 |
[
25,
6,
50,
60
] | 30 | [
"6*50=300",
"300/60=5",
"25+5=30"
] | Current State: 30:[25, 6, 50, 60], Operations: []
Exploring Operation: 6*50=300, Resulting Numbers: [25, 60, 300]
Generated Node #2: [25, 60, 300] from Operation: 6*50=300
Current State: 30:[25, 60, 300], Operations: ['6*50=300']
Exploring Operation: 300/60=5, Resulting Numbers: [25, 5]
Generated Node #3: [25, 5] from Operation: 300/60=5
Current State: 30:[25, 5], Operations: ['6*50=300', '300/60=5']
Exploring Operation: 25+5=30, Resulting Numbers: [30]
30,30 equal: Goal Reached
| 4 |
[
25,
1,
60,
53
] | 88 | [
"25*1=25",
"60+53=113",
"113-25=88"
] | Current State: 88:[25, 1, 60, 53], Operations: []
Exploring Operation: 25*1=25, Resulting Numbers: [60, 53, 25]
Generated Node #2: [60, 53, 25] from Operation: 25*1=25
Current State: 88:[60, 53, 25], Operations: ['25*1=25']
Exploring Operation: 60+53=113, Resulting Numbers: [25, 113]
Generated Node #3: [25, 113] from Operation: 60+53=113
Current State: 88:[25, 113], Operations: ['25*1=25', '60+53=113']
Exploring Operation: 113-25=88, Resulting Numbers: [88]
88,88 equal: Goal Reached
| 4 |
[
68,
17,
10,
27
] | 33 | [
"68/17=4",
"10+27=37",
"37-4=33"
] | Current State: 33:[68, 17, 10, 27], Operations: []
Exploring Operation: 68/17=4, Resulting Numbers: [10, 27, 4]
Generated Node #2: [10, 27, 4] from Operation: 68/17=4
Current State: 33:[10, 27, 4], Operations: ['68/17=4']
Exploring Operation: 10+27=37, Resulting Numbers: [4, 37]
Generated Node #3: [4, 37] from Operation: 10+27=37
Current State: 33:[4, 37], Operations: ['68/17=4', '10+27=37']
Exploring Operation: 37-4=33, Resulting Numbers: [33]
33,33 equal: Goal Reached
| 4 |
[
31,
57,
13,
54
] | 80 | [
"57-54=3",
"31*3=93",
"93-13=80"
] | Current State: 80:[31, 57, 13, 54], Operations: []
Exploring Operation: 57-54=3, Resulting Numbers: [31, 13, 3]
Generated Node #2: [31, 13, 3] from Operation: 57-54=3
Current State: 80:[31, 13, 3], Operations: ['57-54=3']
Exploring Operation: 31*3=93, Resulting Numbers: [13, 93]
Generated Node #3: [13, 93] from Operation: 31*3=93
Current State: 80:[13, 93], Operations: ['57-54=3', '31*3=93']
Exploring Operation: 93-13=80, Resulting Numbers: [80]
80,80 equal: Goal Reached
| 4 |
[
86,
34,
60,
36
] | 24 | [
"86+34=120",
"60+36=96",
"120-96=24"
] | Current State: 24:[86, 34, 60, 36], Operations: []
Exploring Operation: 86+34=120, Resulting Numbers: [60, 36, 120]
Generated Node #2: [60, 36, 120] from Operation: 86+34=120
Current State: 24:[60, 36, 120], Operations: ['86+34=120']
Exploring Operation: 60+36=96, Resulting Numbers: [120, 96]
Generated Node #3: [120, 96] from Operation: 60+36=96
Current State: 24:[120, 96], Operations: ['86+34=120', '60+36=96']
Exploring Operation: 120-96=24, Resulting Numbers: [24]
24,24 equal: Goal Reached
| 4 |
[
7,
19,
56,
65
] | 92 | [
"56/7=8",
"19+65=84",
"8+84=92"
] | Current State: 92:[7, 19, 56, 65], Operations: []
Exploring Operation: 56/7=8, Resulting Numbers: [19, 65, 8]
Generated Node #2: [19, 65, 8] from Operation: 56/7=8
Current State: 92:[19, 65, 8], Operations: ['56/7=8']
Exploring Operation: 19+65=84, Resulting Numbers: [8, 84]
Generated Node #3: [8, 84] from Operation: 19+65=84
Current State: 92:[8, 84], Operations: ['56/7=8', '19+65=84']
Exploring Operation: 8+84=92, Resulting Numbers: [92]
92,92 equal: Goal Reached
| 4 |
[
61,
94,
26,
52
] | 66 | [
"94-61=33",
"52/26=2",
"33*2=66"
] | Current State: 66:[61, 94, 26, 52], Operations: []
Exploring Operation: 94-61=33, Resulting Numbers: [26, 52, 33]
Generated Node #2: [26, 52, 33] from Operation: 94-61=33
Current State: 66:[26, 52, 33], Operations: ['94-61=33']
Exploring Operation: 52/26=2, Resulting Numbers: [33, 2]
Generated Node #3: [33, 2] from Operation: 52/26=2
Current State: 66:[33, 2], Operations: ['94-61=33', '52/26=2']
Exploring Operation: 33*2=66, Resulting Numbers: [66]
66,66 equal: Goal Reached
| 4 |
[
48,
28,
45,
8
] | 57 | [
"48-28=20",
"45-8=37",
"20+37=57"
] | Current State: 57:[48, 28, 45, 8], Operations: []
Exploring Operation: 48-28=20, Resulting Numbers: [45, 8, 20]
Generated Node #2: [45, 8, 20] from Operation: 48-28=20
Current State: 57:[45, 8, 20], Operations: ['48-28=20']
Exploring Operation: 45-8=37, Resulting Numbers: [20, 37]
Generated Node #3: [20, 37] from Operation: 45-8=37
Current State: 57:[20, 37], Operations: ['48-28=20', '45-8=37']
Exploring Operation: 20+37=57, Resulting Numbers: [57]
57,57 equal: Goal Reached
| 4 |
[
15,
30,
27,
95
] | 61 | [
"30/15=2",
"27+95=122",
"122/2=61"
] | Current State: 61:[15, 30, 27, 95], Operations: []
Exploring Operation: 30/15=2, Resulting Numbers: [27, 95, 2]
Generated Node #2: [27, 95, 2] from Operation: 30/15=2
Current State: 61:[27, 95, 2], Operations: ['30/15=2']
Exploring Operation: 27+95=122, Resulting Numbers: [2, 122]
Generated Node #3: [2, 122] from Operation: 27+95=122
Current State: 61:[2, 122], Operations: ['30/15=2', '27+95=122']
Exploring Operation: 122/2=61, Resulting Numbers: [61]
61,61 equal: Goal Reached
| 4 |
[
83,
67,
66,
19
] | 63 | [
"83-67=16",
"66-19=47",
"16+47=63"
] | Current State: 63:[83, 67, 66, 19], Operations: []
Exploring Operation: 83-67=16, Resulting Numbers: [66, 19, 16]
Generated Node #2: [66, 19, 16] from Operation: 83-67=16
Current State: 63:[66, 19, 16], Operations: ['83-67=16']
Exploring Operation: 66-19=47, Resulting Numbers: [16, 47]
Generated Node #3: [16, 47] from Operation: 66-19=47
Current State: 63:[16, 47], Operations: ['83-67=16', '66-19=47']
Exploring Operation: 16+47=63, Resulting Numbers: [63]
63,63 equal: Goal Reached
| 4 |
[
48,
96,
82,
18
] | 59 | [
"96/48=2",
"82/2=41",
"18+41=59"
] | Current State: 59:[48, 96, 82, 18], Operations: []
Exploring Operation: 96/48=2, Resulting Numbers: [82, 18, 2]
Generated Node #2: [82, 18, 2] from Operation: 96/48=2
Current State: 59:[82, 18, 2], Operations: ['96/48=2']
Exploring Operation: 82/2=41, Resulting Numbers: [18, 41]
Generated Node #3: [18, 41] from Operation: 82/2=41
Current State: 59:[18, 41], Operations: ['96/48=2', '82/2=41']
Exploring Operation: 18+41=59, Resulting Numbers: [59]
59,59 equal: Goal Reached
| 4 |
[
72,
24,
68,
95
] | 69 | [
"72+24=96",
"95-68=27",
"96-27=69"
] | Current State: 69:[72, 24, 68, 95], Operations: []
Exploring Operation: 72+24=96, Resulting Numbers: [68, 95, 96]
Generated Node #2: [68, 95, 96] from Operation: 72+24=96
Current State: 69:[68, 95, 96], Operations: ['72+24=96']
Exploring Operation: 95-68=27, Resulting Numbers: [96, 27]
Generated Node #3: [96, 27] from Operation: 95-68=27
Current State: 69:[96, 27], Operations: ['72+24=96', '95-68=27']
Exploring Operation: 96-27=69, Resulting Numbers: [69]
69,69 equal: Goal Reached
| 4 |
[
29,
77,
9,
87
] | 28 | [
"29+77=106",
"87-9=78",
"106-78=28"
] | Current State: 28:[29, 77, 9, 87], Operations: []
Exploring Operation: 29+77=106, Resulting Numbers: [9, 87, 106]
Generated Node #2: [9, 87, 106] from Operation: 29+77=106
Current State: 28:[9, 87, 106], Operations: ['29+77=106']
Exploring Operation: 87-9=78, Resulting Numbers: [106, 78]
Generated Node #3: [106, 78] from Operation: 87-9=78
Current State: 28:[106, 78], Operations: ['29+77=106', '87-9=78']
Exploring Operation: 106-78=28, Resulting Numbers: [28]
28,28 equal: Goal Reached
| 4 |
[
66,
3,
37,
28
] | 69 | [
"37-28=9",
"9/3=3",
"66+3=69"
] | Current State: 69:[66, 3, 37, 28], Operations: []
Exploring Operation: 37-28=9, Resulting Numbers: [66, 3, 9]
Generated Node #2: [66, 3, 9] from Operation: 37-28=9
Current State: 69:[66, 3, 9], Operations: ['37-28=9']
Exploring Operation: 9/3=3, Resulting Numbers: [66, 3]
Generated Node #3: [66, 3] from Operation: 9/3=3
Current State: 69:[66, 3], Operations: ['37-28=9', '9/3=3']
Exploring Operation: 66+3=69, Resulting Numbers: [69]
69,69 equal: Goal Reached
| 4 |
[
84,
76,
60,
65
] | 64 | [
"84-65=19",
"76/19=4",
"60+4=64"
] | Current State: 64:[84, 76, 60, 65], Operations: []
Exploring Operation: 84-65=19, Resulting Numbers: [76, 60, 19]
Generated Node #2: [76, 60, 19] from Operation: 84-65=19
Current State: 64:[76, 60, 19], Operations: ['84-65=19']
Exploring Operation: 76/19=4, Resulting Numbers: [60, 4]
Generated Node #3: [60, 4] from Operation: 76/19=4
Current State: 64:[60, 4], Operations: ['84-65=19', '76/19=4']
Exploring Operation: 60+4=64, Resulting Numbers: [64]
64,64 equal: Goal Reached
| 4 |
[
74,
56,
88,
9
] | 44 | [
"74-56=18",
"88*9=792",
"792/18=44"
] | Current State: 44:[74, 56, 88, 9], Operations: []
Exploring Operation: 74-56=18, Resulting Numbers: [88, 9, 18]
Generated Node #2: [88, 9, 18] from Operation: 74-56=18
Current State: 44:[88, 9, 18], Operations: ['74-56=18']
Exploring Operation: 88*9=792, Resulting Numbers: [18, 792]
Generated Node #3: [18, 792] from Operation: 88*9=792
Current State: 44:[18, 792], Operations: ['74-56=18', '88*9=792']
Exploring Operation: 792/18=44, Resulting Numbers: [44]
44,44 equal: Goal Reached
| 4 |
[
3,
81,
58,
2
] | 16 | [
"3+81=84",
"84/2=42",
"58-42=16"
] | Current State: 16:[3, 81, 58, 2], Operations: []
Exploring Operation: 3+81=84, Resulting Numbers: [58, 2, 84]
Generated Node #2: [58, 2, 84] from Operation: 3+81=84
Current State: 16:[58, 2, 84], Operations: ['3+81=84']
Exploring Operation: 84/2=42, Resulting Numbers: [58, 42]
Generated Node #3: [58, 42] from Operation: 84/2=42
Current State: 16:[58, 42], Operations: ['3+81=84', '84/2=42']
Exploring Operation: 58-42=16, Resulting Numbers: [16]
16,16 equal: Goal Reached
| 4 |
[
38,
96,
82,
24
] | 48 | [
"96-38=58",
"82+24=106",
"106-58=48"
] | Current State: 48:[38, 96, 82, 24], Operations: []
Exploring Operation: 96-38=58, Resulting Numbers: [82, 24, 58]
Generated Node #2: [82, 24, 58] from Operation: 96-38=58
Current State: 48:[82, 24, 58], Operations: ['96-38=58']
Exploring Operation: 82+24=106, Resulting Numbers: [58, 106]
Generated Node #3: [58, 106] from Operation: 82+24=106
Current State: 48:[58, 106], Operations: ['96-38=58', '82+24=106']
Exploring Operation: 106-58=48, Resulting Numbers: [48]
48,48 equal: Goal Reached
| 4 |
[
31,
53,
15,
56
] | 49 | [
"53-31=22",
"15+56=71",
"71-22=49"
] | Current State: 49:[31, 53, 15, 56], Operations: []
Exploring Operation: 53-31=22, Resulting Numbers: [15, 56, 22]
Generated Node #2: [15, 56, 22] from Operation: 53-31=22
Current State: 49:[15, 56, 22], Operations: ['53-31=22']
Exploring Operation: 15+56=71, Resulting Numbers: [22, 71]
Generated Node #3: [22, 71] from Operation: 15+56=71
Current State: 49:[22, 71], Operations: ['53-31=22', '15+56=71']
Exploring Operation: 71-22=49, Resulting Numbers: [49]
49,49 equal: Goal Reached
| 4 |
[
8,
2,
59,
97
] | 86 | [
"59+97=156",
"156/2=78",
"8+78=86"
] | Current State: 86:[8, 2, 59, 97], Operations: []
Exploring Operation: 59+97=156, Resulting Numbers: [8, 2, 156]
Generated Node #2: [8, 2, 156] from Operation: 59+97=156
Current State: 86:[8, 2, 156], Operations: ['59+97=156']
Exploring Operation: 156/2=78, Resulting Numbers: [8, 78]
Generated Node #3: [8, 78] from Operation: 156/2=78
Current State: 86:[8, 78], Operations: ['59+97=156', '156/2=78']
Exploring Operation: 8+78=86, Resulting Numbers: [86]
86,86 equal: Goal Reached
| 4 |
[
65,
76,
25,
3
] | 86 | [
"76-65=11",
"25*3=75",
"11+75=86"
] | Current State: 86:[65, 76, 25, 3], Operations: []
Exploring Operation: 76-65=11, Resulting Numbers: [25, 3, 11]
Generated Node #2: [25, 3, 11] from Operation: 76-65=11
Current State: 86:[25, 3, 11], Operations: ['76-65=11']
Exploring Operation: 25*3=75, Resulting Numbers: [11, 75]
Generated Node #3: [11, 75] from Operation: 25*3=75
Current State: 86:[11, 75], Operations: ['76-65=11', '25*3=75']
Exploring Operation: 11+75=86, Resulting Numbers: [86]
86,86 equal: Goal Reached
| 4 |
[
1,
96,
58,
61
] | 94 | [
"1+96=97",
"61-58=3",
"97-3=94"
] | Current State: 94:[1, 96, 58, 61], Operations: []
Exploring Operation: 1+96=97, Resulting Numbers: [58, 61, 97]
Generated Node #2: [58, 61, 97] from Operation: 1+96=97
Current State: 94:[58, 61, 97], Operations: ['1+96=97']
Exploring Operation: 61-58=3, Resulting Numbers: [97, 3]
Generated Node #3: [97, 3] from Operation: 61-58=3
Current State: 94:[97, 3], Operations: ['1+96=97', '61-58=3']
Exploring Operation: 97-3=94, Resulting Numbers: [94]
94,94 equal: Goal Reached
| 4 |
[
8,
2,
1,
50
] | 35 | [
"8*2=16",
"1+50=51",
"51-16=35"
] | Current State: 35:[8, 2, 1, 50], Operations: []
Exploring Operation: 8*2=16, Resulting Numbers: [1, 50, 16]
Generated Node #2: [1, 50, 16] from Operation: 8*2=16
Current State: 35:[1, 50, 16], Operations: ['8*2=16']
Exploring Operation: 1+50=51, Resulting Numbers: [16, 51]
Generated Node #3: [16, 51] from Operation: 1+50=51
Current State: 35:[16, 51], Operations: ['8*2=16', '1+50=51']
Exploring Operation: 51-16=35, Resulting Numbers: [35]
35,35 equal: Goal Reached
| 4 |
[
65,
17,
26,
45
] | 35 | [
"26*45=1170",
"1170/65=18",
"17+18=35"
] | Current State: 35:[65, 17, 26, 45], Operations: []
Exploring Operation: 26*45=1170, Resulting Numbers: [65, 17, 1170]
Generated Node #2: [65, 17, 1170] from Operation: 26*45=1170
Current State: 35:[65, 17, 1170], Operations: ['26*45=1170']
Exploring Operation: 1170/65=18, Resulting Numbers: [17, 18]
Generated Node #3: [17, 18] from Operation: 1170/65=18
Current State: 35:[17, 18], Operations: ['26*45=1170', '1170/65=18']
Exploring Operation: 17+18=35, Resulting Numbers: [35]
35,35 equal: Goal Reached
| 4 |
[
94,
95,
1,
44
] | 43 | [
"95-94=1",
"1*44=44",
"44-1=43"
] | Current State: 43:[94, 95, 1, 44], Operations: []
Exploring Operation: 95-94=1, Resulting Numbers: [1, 44, 1]
Generated Node #2: [1, 44, 1] from Operation: 95-94=1
Current State: 43:[1, 44, 1], Operations: ['95-94=1']
Exploring Operation: 1*44=44, Resulting Numbers: [44]
44,43 equal: Goal Reached
Exploring Operation: 44-1=43, Resulting Numbers: [43]
43,43 equal: Goal Reached
| 4 |
[
27,
8,
57,
23
] | 25 | [
"27-23=4",
"8*4=32",
"57-32=25"
] | Current State: 25:[27, 8, 57, 23], Operations: []
Exploring Operation: 27-23=4, Resulting Numbers: [8, 57, 4]
Generated Node #2: [8, 57, 4] from Operation: 27-23=4
Current State: 25:[8, 57, 4], Operations: ['27-23=4']
Exploring Operation: 8*4=32, Resulting Numbers: [57, 32]
Generated Node #3: [57, 32] from Operation: 8*4=32
Current State: 25:[57, 32], Operations: ['27-23=4', '8*4=32']
Exploring Operation: 57-32=25, Resulting Numbers: [25]
25,25 equal: Goal Reached
| 4 |
[
13,
86,
84,
31
] | 88 | [
"13+31=44",
"86-84=2",
"44*2=88"
] | Current State: 88:[13, 86, 84, 31], Operations: []
Exploring Operation: 13+31=44, Resulting Numbers: [86, 84, 44]
Generated Node #2: [86, 84, 44] from Operation: 13+31=44
Current State: 88:[86, 84, 44], Operations: ['13+31=44']
Exploring Operation: 86-84=2, Resulting Numbers: [44, 2]
Generated Node #3: [44, 2] from Operation: 86-84=2
Current State: 88:[44, 2], Operations: ['13+31=44', '86-84=2']
Exploring Operation: 44*2=88, Resulting Numbers: [88]
88,88 equal: Goal Reached
| 4 |
[
43,
25,
73,
65
] | 70 | [
"43+25=68",
"73+65=138",
"138-68=70"
] | Current State: 70:[43, 25, 73, 65], Operations: []
Exploring Operation: 43+25=68, Resulting Numbers: [73, 65, 68]
Generated Node #2: [73, 65, 68] from Operation: 43+25=68
Current State: 70:[73, 65, 68], Operations: ['43+25=68']
Exploring Operation: 73+65=138, Resulting Numbers: [68, 138]
Generated Node #3: [68, 138] from Operation: 73+65=138
Current State: 70:[68, 138], Operations: ['43+25=68', '73+65=138']
Exploring Operation: 138-68=70, Resulting Numbers: [70]
70,70 equal: Goal Reached
| 4 |
[
12,
38,
6,
64
] | 100 | [
"12/6=2",
"38+64=102",
"102-2=100"
] | Current State: 100:[12, 38, 6, 64], Operations: []
Exploring Operation: 12/6=2, Resulting Numbers: [38, 64, 2]
Generated Node #2: [38, 64, 2] from Operation: 12/6=2
Current State: 100:[38, 64, 2], Operations: ['12/6=2']
Exploring Operation: 38+64=102, Resulting Numbers: [2, 102]
Generated Node #3: [2, 102] from Operation: 38+64=102
Current State: 100:[2, 102], Operations: ['12/6=2', '38+64=102']
Exploring Operation: 102-2=100, Resulting Numbers: [100]
100,100 equal: Goal Reached
| 4 |
[
69,
56,
72,
39
] | 61 | [
"72-69=3",
"39*3=117",
"117-56=61"
] | Current State: 61:[69, 56, 72, 39], Operations: []
Exploring Operation: 72-69=3, Resulting Numbers: [56, 39, 3]
Generated Node #2: [56, 39, 3] from Operation: 72-69=3
Current State: 61:[56, 39, 3], Operations: ['72-69=3']
Exploring Operation: 39*3=117, Resulting Numbers: [56, 117]
Generated Node #3: [56, 117] from Operation: 39*3=117
Current State: 61:[56, 117], Operations: ['72-69=3', '39*3=117']
Exploring Operation: 117-56=61, Resulting Numbers: [61]
61,61 equal: Goal Reached
| 4 |
[
82,
46,
56,
26
] | 66 | [
"82-46=36",
"56-26=30",
"36+30=66"
] | Current State: 66:[82, 46, 56, 26], Operations: []
Exploring Operation: 82-46=36, Resulting Numbers: [56, 26, 36]
Generated Node #2: [56, 26, 36] from Operation: 82-46=36
Current State: 66:[56, 26, 36], Operations: ['82-46=36']
Exploring Operation: 56-26=30, Resulting Numbers: [36, 30]
Generated Node #3: [36, 30] from Operation: 56-26=30
Current State: 66:[36, 30], Operations: ['82-46=36', '56-26=30']
Exploring Operation: 36+30=66, Resulting Numbers: [66]
66,66 equal: Goal Reached
| 4 |
[
41,
34,
17,
70
] | 85 | [
"41+34=75",
"75-70=5",
"17*5=85"
] | Current State: 85:[41, 34, 17, 70], Operations: []
Exploring Operation: 41+34=75, Resulting Numbers: [17, 70, 75]
Generated Node #2: [17, 70, 75] from Operation: 41+34=75
Current State: 85:[17, 70, 75], Operations: ['41+34=75']
Exploring Operation: 75-70=5, Resulting Numbers: [17, 5]
Generated Node #3: [17, 5] from Operation: 75-70=5
Current State: 85:[17, 5], Operations: ['41+34=75', '75-70=5']
Exploring Operation: 17*5=85, Resulting Numbers: [85]
85,85 equal: Goal Reached
| 4 |
[
40,
83,
77,
15
] | 50 | [
"83-77=6",
"15*6=90",
"90-40=50"
] | Current State: 50:[40, 83, 77, 15], Operations: []
Exploring Operation: 83-77=6, Resulting Numbers: [40, 15, 6]
Generated Node #2: [40, 15, 6] from Operation: 83-77=6
Current State: 50:[40, 15, 6], Operations: ['83-77=6']
Exploring Operation: 15*6=90, Resulting Numbers: [40, 90]
Generated Node #3: [40, 90] from Operation: 15*6=90
Current State: 50:[40, 90], Operations: ['83-77=6', '15*6=90']
Exploring Operation: 90-40=50, Resulting Numbers: [50]
50,50 equal: Goal Reached
| 4 |
[
36,
69,
72,
55
] | 88 | [
"36+69=105",
"72-55=17",
"105-17=88"
] | Current State: 88:[36, 69, 72, 55], Operations: []
Exploring Operation: 36+69=105, Resulting Numbers: [72, 55, 105]
Generated Node #2: [72, 55, 105] from Operation: 36+69=105
Current State: 88:[72, 55, 105], Operations: ['36+69=105']
Exploring Operation: 72-55=17, Resulting Numbers: [105, 17]
Generated Node #3: [105, 17] from Operation: 72-55=17
Current State: 88:[105, 17], Operations: ['36+69=105', '72-55=17']
Exploring Operation: 105-17=88, Resulting Numbers: [88]
88,88 equal: Goal Reached
| 4 |
[
23,
9,
22,
66
] | 56 | [
"23+9=32",
"22+66=88",
"88-32=56"
] | Current State: 56:[23, 9, 22, 66], Operations: []
Exploring Operation: 23+9=32, Resulting Numbers: [22, 66, 32]
Generated Node #2: [22, 66, 32] from Operation: 23+9=32
Current State: 56:[22, 66, 32], Operations: ['23+9=32']
Exploring Operation: 22+66=88, Resulting Numbers: [32, 88]
Generated Node #3: [32, 88] from Operation: 22+66=88
Current State: 56:[32, 88], Operations: ['23+9=32', '22+66=88']
Exploring Operation: 88-32=56, Resulting Numbers: [56]
56,56 equal: Goal Reached
| 4 |
[
79,
89,
51,
5
] | 36 | [
"89-79=10",
"51-5=46",
"46-10=36"
] | Current State: 36:[79, 89, 51, 5], Operations: []
Exploring Operation: 89-79=10, Resulting Numbers: [51, 5, 10]
Generated Node #2: [51, 5, 10] from Operation: 89-79=10
Current State: 36:[51, 5, 10], Operations: ['89-79=10']
Exploring Operation: 51-5=46, Resulting Numbers: [10, 46]
Generated Node #3: [10, 46] from Operation: 51-5=46
Current State: 36:[10, 46], Operations: ['89-79=10', '51-5=46']
Exploring Operation: 46-10=36, Resulting Numbers: [36]
36,36 equal: Goal Reached
| 4 |
[
52,
80,
68,
56
] | 96 | [
"80-52=28",
"68+56=124",
"124-28=96"
] | Current State: 96:[52, 80, 68, 56], Operations: []
Exploring Operation: 80-52=28, Resulting Numbers: [68, 56, 28]
Generated Node #2: [68, 56, 28] from Operation: 80-52=28
Current State: 96:[68, 56, 28], Operations: ['80-52=28']
Exploring Operation: 68+56=124, Resulting Numbers: [28, 124]
Generated Node #3: [28, 124] from Operation: 68+56=124
Current State: 96:[28, 124], Operations: ['80-52=28', '68+56=124']
Exploring Operation: 124-28=96, Resulting Numbers: [96]
96,96 equal: Goal Reached
| 4 |
[
5,
37,
74,
55
] | 65 | [
"5*74=370",
"370/37=10",
"55+10=65"
] | Current State: 65:[5, 37, 74, 55], Operations: []
Exploring Operation: 5*74=370, Resulting Numbers: [37, 55, 370]
Generated Node #2: [37, 55, 370] from Operation: 5*74=370
Current State: 65:[37, 55, 370], Operations: ['5*74=370']
Exploring Operation: 370/37=10, Resulting Numbers: [55, 10]
Generated Node #3: [55, 10] from Operation: 370/37=10
Current State: 65:[55, 10], Operations: ['5*74=370', '370/37=10']
Exploring Operation: 55+10=65, Resulting Numbers: [65]
65,65 equal: Goal Reached
| 4 |
[
12,
11,
80,
14
] | 84 | [
"14-11=3",
"12/3=4",
"80+4=84"
] | Current State: 84:[12, 11, 80, 14], Operations: []
Exploring Operation: 14-11=3, Resulting Numbers: [12, 80, 3]
Generated Node #2: [12, 80, 3] from Operation: 14-11=3
Current State: 84:[12, 80, 3], Operations: ['14-11=3']
Exploring Operation: 12/3=4, Resulting Numbers: [80, 4]
Generated Node #3: [80, 4] from Operation: 12/3=4
Current State: 84:[80, 4], Operations: ['14-11=3', '12/3=4']
Exploring Operation: 80+4=84, Resulting Numbers: [84]
84,84 equal: Goal Reached
| 4 |
[
38,
60,
25,
78
] | 45 | [
"38+60=98",
"78-25=53",
"98-53=45"
] | Current State: 45:[38, 60, 25, 78], Operations: []
Exploring Operation: 38+60=98, Resulting Numbers: [25, 78, 98]
Generated Node #2: [25, 78, 98] from Operation: 38+60=98
Current State: 45:[25, 78, 98], Operations: ['38+60=98']
Exploring Operation: 78-25=53, Resulting Numbers: [98, 53]
Generated Node #3: [98, 53] from Operation: 78-25=53
Current State: 45:[98, 53], Operations: ['38+60=98', '78-25=53']
Exploring Operation: 98-53=45, Resulting Numbers: [45]
45,45 equal: Goal Reached
| 4 |
[
89,
96,
5,
68
] | 51 | [
"96-68=28",
"5*28=140",
"140-89=51"
] | Current State: 51:[89, 96, 5, 68], Operations: []
Exploring Operation: 96-68=28, Resulting Numbers: [89, 5, 28]
Generated Node #2: [89, 5, 28] from Operation: 96-68=28
Current State: 51:[89, 5, 28], Operations: ['96-68=28']
Exploring Operation: 5*28=140, Resulting Numbers: [89, 140]
Generated Node #3: [89, 140] from Operation: 5*28=140
Current State: 51:[89, 140], Operations: ['96-68=28', '5*28=140']
Exploring Operation: 140-89=51, Resulting Numbers: [51]
51,51 equal: Goal Reached
| 4 |
[
41,
65,
86,
47
] | 27 | [
"41+65=106",
"86+47=133",
"133-106=27"
] | Current State: 27:[41, 65, 86, 47], Operations: []
Exploring Operation: 41+65=106, Resulting Numbers: [86, 47, 106]
Generated Node #2: [86, 47, 106] from Operation: 41+65=106
Current State: 27:[86, 47, 106], Operations: ['41+65=106']
Exploring Operation: 86+47=133, Resulting Numbers: [106, 133]
Generated Node #3: [106, 133] from Operation: 86+47=133
Current State: 27:[106, 133], Operations: ['41+65=106', '86+47=133']
Exploring Operation: 133-106=27, Resulting Numbers: [27]
27,27 equal: Goal Reached
| 4 |
[
70,
14,
74,
86
] | 32 | [
"70/14=5",
"74+86=160",
"160/5=32"
] | Current State: 32:[70, 14, 74, 86], Operations: []
Exploring Operation: 70/14=5, Resulting Numbers: [74, 86, 5]
Generated Node #2: [74, 86, 5] from Operation: 70/14=5
Current State: 32:[74, 86, 5], Operations: ['70/14=5']
Exploring Operation: 74+86=160, Resulting Numbers: [5, 160]
Generated Node #3: [5, 160] from Operation: 74+86=160
Current State: 32:[5, 160], Operations: ['70/14=5', '74+86=160']
Exploring Operation: 160/5=32, Resulting Numbers: [32]
32,32 equal: Goal Reached
| 4 |
[
1,
40,
99,
9
] | 52 | [
"1+40=41",
"99/9=11",
"41+11=52"
] | Current State: 52:[1, 40, 99, 9], Operations: []
Exploring Operation: 1+40=41, Resulting Numbers: [99, 9, 41]
Generated Node #2: [99, 9, 41] from Operation: 1+40=41
Current State: 52:[99, 9, 41], Operations: ['1+40=41']
Exploring Operation: 99/9=11, Resulting Numbers: [41, 11]
Generated Node #3: [41, 11] from Operation: 99/9=11
Current State: 52:[41, 11], Operations: ['1+40=41', '99/9=11']
Exploring Operation: 41+11=52, Resulting Numbers: [52]
52,52 equal: Goal Reached
| 4 |
[
22,
27,
24,
35
] | 10 | [
"22+27=49",
"24+35=59",
"59-49=10"
] | Current State: 10:[22, 27, 24, 35], Operations: []
Exploring Operation: 22+27=49, Resulting Numbers: [24, 35, 49]
Generated Node #2: [24, 35, 49] from Operation: 22+27=49
Current State: 10:[24, 35, 49], Operations: ['22+27=49']
Exploring Operation: 24+35=59, Resulting Numbers: [49, 59]
Generated Node #3: [49, 59] from Operation: 24+35=59
Current State: 10:[49, 59], Operations: ['22+27=49', '24+35=59']
Exploring Operation: 59-49=10, Resulting Numbers: [10]
10,10 equal: Goal Reached
| 4 |
[
31,
93,
62,
55
] | 26 | [
"31*55=1705",
"1705-93=1612",
"1612/62=26"
] | Current State: 26:[31, 93, 62, 55], Operations: []
Exploring Operation: 31*55=1705, Resulting Numbers: [93, 62, 1705]
Generated Node #2: [93, 62, 1705] from Operation: 31*55=1705
Current State: 26:[93, 62, 1705], Operations: ['31*55=1705']
Exploring Operation: 1705-93=1612, Resulting Numbers: [62, 1612]
Generated Node #3: [62, 1612] from Operation: 1705-93=1612
Current State: 26:[62, 1612], Operations: ['31*55=1705', '1705-93=1612']
Exploring Operation: 1612/62=26, Resulting Numbers: [26]
26,26 equal: Goal Reached
| 4 |
[
62,
28,
27,
3
] | 21 | [
"62+28=90",
"90-27=63",
"63/3=21"
] | Current State: 21:[62, 28, 27, 3], Operations: []
Exploring Operation: 62+28=90, Resulting Numbers: [27, 3, 90]
Generated Node #2: [27, 3, 90] from Operation: 62+28=90
Current State: 21:[27, 3, 90], Operations: ['62+28=90']
Exploring Operation: 90-27=63, Resulting Numbers: [3, 63]
Generated Node #3: [3, 63] from Operation: 90-27=63
Current State: 21:[3, 63], Operations: ['62+28=90', '90-27=63']
Exploring Operation: 63/3=21, Resulting Numbers: [21]
21,21 equal: Goal Reached
| 4 |
[
31,
14,
22,
81
] | 14 | [
"31+14=45",
"81-22=59",
"59-45=14"
] | Current State: 14:[31, 14, 22, 81], Operations: []
Exploring Operation: 31+14=45, Resulting Numbers: [22, 81, 45]
Generated Node #2: [22, 81, 45] from Operation: 31+14=45
Current State: 14:[22, 81, 45], Operations: ['31+14=45']
Exploring Operation: 81-22=59, Resulting Numbers: [45, 59]
Generated Node #3: [45, 59] from Operation: 81-22=59
Current State: 14:[45, 59], Operations: ['31+14=45', '81-22=59']
Exploring Operation: 59-45=14, Resulting Numbers: [14]
14,14 equal: Goal Reached
| 4 |
[
97,
75,
7,
96
] | 83 | [
"97+75=172",
"96-7=89",
"172-89=83"
] | Current State: 83:[97, 75, 7, 96], Operations: []
Exploring Operation: 97+75=172, Resulting Numbers: [7, 96, 172]
Generated Node #2: [7, 96, 172] from Operation: 97+75=172
Current State: 83:[7, 96, 172], Operations: ['97+75=172']
Exploring Operation: 96-7=89, Resulting Numbers: [172, 89]
Generated Node #3: [172, 89] from Operation: 96-7=89
Current State: 83:[172, 89], Operations: ['97+75=172', '96-7=89']
Exploring Operation: 172-89=83, Resulting Numbers: [83]
83,83 equal: Goal Reached
| 4 |
[
86,
69,
84,
60
] | 41 | [
"86-69=17",
"84-60=24",
"17+24=41"
] | Current State: 41:[86, 69, 84, 60], Operations: []
Exploring Operation: 86-69=17, Resulting Numbers: [84, 60, 17]
Generated Node #2: [84, 60, 17] from Operation: 86-69=17
Current State: 41:[84, 60, 17], Operations: ['86-69=17']
Exploring Operation: 84-60=24, Resulting Numbers: [17, 24]
Generated Node #3: [17, 24] from Operation: 84-60=24
Current State: 41:[17, 24], Operations: ['86-69=17', '84-60=24']
Exploring Operation: 17+24=41, Resulting Numbers: [41]
41,41 equal: Goal Reached
| 4 |
[
96,
83,
19,
22
] | 39 | [
"96-83=13",
"22-19=3",
"13*3=39"
] | Current State: 39:[96, 83, 19, 22], Operations: []
Exploring Operation: 96-83=13, Resulting Numbers: [19, 22, 13]
Generated Node #2: [19, 22, 13] from Operation: 96-83=13
Current State: 39:[19, 22, 13], Operations: ['96-83=13']
Exploring Operation: 22-19=3, Resulting Numbers: [13, 3]
Generated Node #3: [13, 3] from Operation: 22-19=3
Current State: 39:[13, 3], Operations: ['96-83=13', '22-19=3']
Exploring Operation: 13*3=39, Resulting Numbers: [39]
39,39 equal: Goal Reached
| 4 |
[
88,
92,
8,
66
] | 15 | [
"88/8=11",
"92-66=26",
"26-11=15"
] | Current State: 15:[88, 92, 8, 66], Operations: []
Exploring Operation: 88/8=11, Resulting Numbers: [92, 66, 11]
Generated Node #2: [92, 66, 11] from Operation: 88/8=11
Current State: 15:[92, 66, 11], Operations: ['88/8=11']
Exploring Operation: 92-66=26, Resulting Numbers: [11, 26]
Generated Node #3: [11, 26] from Operation: 92-66=26
Current State: 15:[11, 26], Operations: ['88/8=11', '92-66=26']
Exploring Operation: 26-11=15, Resulting Numbers: [15]
15,15 equal: Goal Reached
| 4 |
[
91,
50,
6,
26
] | 87 | [
"50-26=24",
"24/6=4",
"91-4=87"
] | Current State: 87:[91, 50, 6, 26], Operations: []
Exploring Operation: 50-26=24, Resulting Numbers: [91, 6, 24]
Generated Node #2: [91, 6, 24] from Operation: 50-26=24
Current State: 87:[91, 6, 24], Operations: ['50-26=24']
Exploring Operation: 24/6=4, Resulting Numbers: [91, 4]
Generated Node #3: [91, 4] from Operation: 24/6=4
Current State: 87:[91, 4], Operations: ['50-26=24', '24/6=4']
Exploring Operation: 91-4=87, Resulting Numbers: [87]
87,87 equal: Goal Reached
| 4 |
[
31,
92,
50,
27
] | 27 | [
"31-27=4",
"92/4=23",
"50-23=27"
] | Current State: 27:[31, 92, 50, 27], Operations: []
Exploring Operation: 31-27=4, Resulting Numbers: [92, 50, 4]
Generated Node #2: [92, 50, 4] from Operation: 31-27=4
Current State: 27:[92, 50, 4], Operations: ['31-27=4']
Exploring Operation: 92/4=23, Resulting Numbers: [50, 23]
Generated Node #3: [50, 23] from Operation: 92/4=23
Current State: 27:[50, 23], Operations: ['31-27=4', '92/4=23']
Exploring Operation: 50-23=27, Resulting Numbers: [27]
27,27 equal: Goal Reached
| 4 |
[
43,
62,
24,
76
] | 81 | [
"62-43=19",
"24+76=100",
"100-19=81"
] | Current State: 81:[43, 62, 24, 76], Operations: []
Exploring Operation: 62-43=19, Resulting Numbers: [24, 76, 19]
Generated Node #2: [24, 76, 19] from Operation: 62-43=19
Current State: 81:[24, 76, 19], Operations: ['62-43=19']
Exploring Operation: 24+76=100, Resulting Numbers: [19, 100]
Generated Node #3: [19, 100] from Operation: 24+76=100
Current State: 81:[19, 100], Operations: ['62-43=19', '24+76=100']
Exploring Operation: 100-19=81, Resulting Numbers: [81]
81,81 equal: Goal Reached
| 4 |
[
9,
2,
89,
17
] | 85 | [
"17-9=8",
"8/2=4",
"89-4=85"
] | Current State: 85:[9, 2, 89, 17], Operations: []
Exploring Operation: 17-9=8, Resulting Numbers: [2, 89, 8]
Generated Node #2: [2, 89, 8] from Operation: 17-9=8
Current State: 85:[2, 89, 8], Operations: ['17-9=8']
Exploring Operation: 8/2=4, Resulting Numbers: [89, 4]
Generated Node #3: [89, 4] from Operation: 8/2=4
Current State: 85:[89, 4], Operations: ['17-9=8', '8/2=4']
Exploring Operation: 89-4=85, Resulting Numbers: [85]
85,85 equal: Goal Reached
| 4 |
[
11,
57,
85,
84
] | 67 | [
"11+57=68",
"85-84=1",
"68-1=67"
] | Current State: 67:[11, 57, 85, 84], Operations: []
Exploring Operation: 11+57=68, Resulting Numbers: [85, 84, 68]
Generated Node #2: [85, 84, 68] from Operation: 11+57=68
Current State: 67:[85, 84, 68], Operations: ['11+57=68']
Exploring Operation: 85-84=1, Resulting Numbers: [68, 1]
Generated Node #3: [68, 1] from Operation: 85-84=1
Current State: 67:[68, 1], Operations: ['11+57=68', '85-84=1']
Exploring Operation: 68-1=67, Resulting Numbers: [67]
67,67 equal: Goal Reached
| 4 |
[
29,
44,
78,
74
] | 11 | [
"44-29=15",
"78-74=4",
"15-4=11"
] | Current State: 11:[29, 44, 78, 74], Operations: []
Exploring Operation: 44-29=15, Resulting Numbers: [78, 74, 15]
Generated Node #2: [78, 74, 15] from Operation: 44-29=15
Current State: 11:[78, 74, 15], Operations: ['44-29=15']
Exploring Operation: 78-74=4, Resulting Numbers: [15, 4]
Generated Node #3: [15, 4] from Operation: 78-74=4
Current State: 11:[15, 4], Operations: ['44-29=15', '78-74=4']
Exploring Operation: 15-4=11, Resulting Numbers: [11]
11,11 equal: Goal Reached
| 4 |
[
55,
20,
12,
64
] | 23 | [
"55+20=75",
"64-12=52",
"75-52=23"
] | Current State: 23:[55, 20, 12, 64], Operations: []
Exploring Operation: 55+20=75, Resulting Numbers: [12, 64, 75]
Generated Node #2: [12, 64, 75] from Operation: 55+20=75
Current State: 23:[12, 64, 75], Operations: ['55+20=75']
Exploring Operation: 64-12=52, Resulting Numbers: [75, 52]
Generated Node #3: [75, 52] from Operation: 64-12=52
Current State: 23:[75, 52], Operations: ['55+20=75', '64-12=52']
Exploring Operation: 75-52=23, Resulting Numbers: [23]
23,23 equal: Goal Reached
| 4 |
[
37,
44,
45,
60
] | 66 | [
"37+44=81",
"60-45=15",
"81-15=66"
] | Current State: 66:[37, 44, 45, 60], Operations: []
Exploring Operation: 37+44=81, Resulting Numbers: [45, 60, 81]
Generated Node #2: [45, 60, 81] from Operation: 37+44=81
Current State: 66:[45, 60, 81], Operations: ['37+44=81']
Exploring Operation: 60-45=15, Resulting Numbers: [81, 15]
Generated Node #3: [81, 15] from Operation: 60-45=15
Current State: 66:[81, 15], Operations: ['37+44=81', '60-45=15']
Exploring Operation: 81-15=66, Resulting Numbers: [66]
66,66 equal: Goal Reached
| 4 |
[
77,
46,
53,
36
] | 58 | [
"77-46=31",
"53+36=89",
"89-31=58"
] | Current State: 58:[77, 46, 53, 36], Operations: []
Exploring Operation: 77-46=31, Resulting Numbers: [53, 36, 31]
Generated Node #2: [53, 36, 31] from Operation: 77-46=31
Current State: 58:[53, 36, 31], Operations: ['77-46=31']
Exploring Operation: 53+36=89, Resulting Numbers: [31, 89]
Generated Node #3: [31, 89] from Operation: 53+36=89
Current State: 58:[31, 89], Operations: ['77-46=31', '53+36=89']
Exploring Operation: 89-31=58, Resulting Numbers: [58]
58,58 equal: Goal Reached
| 4 |
[
70,
6,
9,
35
] | 19 | [
"70+9=79",
"35+79=114",
"114/6=19"
] | Current State: 19:[70, 6, 9, 35], Operations: []
Exploring Operation: 70+9=79, Resulting Numbers: [6, 35, 79]
Generated Node #2: [6, 35, 79] from Operation: 70+9=79
Current State: 19:[6, 35, 79], Operations: ['70+9=79']
Exploring Operation: 35+79=114, Resulting Numbers: [6, 114]
Generated Node #3: [6, 114] from Operation: 35+79=114
Current State: 19:[6, 114], Operations: ['70+9=79', '35+79=114']
Exploring Operation: 114/6=19, Resulting Numbers: [19]
19,19 equal: Goal Reached
| 4 |
[
11,
2,
6,
54
] | 47 | [
"11+2=13",
"6+54=60",
"60-13=47"
] | Current State: 47:[11, 2, 6, 54], Operations: []
Exploring Operation: 11+2=13, Resulting Numbers: [6, 54, 13]
Generated Node #2: [6, 54, 13] from Operation: 11+2=13
Current State: 47:[6, 54, 13], Operations: ['11+2=13']
Exploring Operation: 6+54=60, Resulting Numbers: [13, 60]
Generated Node #3: [13, 60] from Operation: 6+54=60
Current State: 47:[13, 60], Operations: ['11+2=13', '6+54=60']
Exploring Operation: 60-13=47, Resulting Numbers: [47]
47,47 equal: Goal Reached
| 4 |
[
53,
25,
9,
54
] | 34 | [
"53-25=28",
"54/9=6",
"28+6=34"
] | Current State: 34:[53, 25, 9, 54], Operations: []
Exploring Operation: 53-25=28, Resulting Numbers: [9, 54, 28]
Generated Node #2: [9, 54, 28] from Operation: 53-25=28
Current State: 34:[9, 54, 28], Operations: ['53-25=28']
Exploring Operation: 54/9=6, Resulting Numbers: [28, 6]
Generated Node #3: [28, 6] from Operation: 54/9=6
Current State: 34:[28, 6], Operations: ['53-25=28', '54/9=6']
Exploring Operation: 28+6=34, Resulting Numbers: [34]
34,34 equal: Goal Reached
| 4 |
[
90,
99,
76,
33
] | 52 | [
"99-90=9",
"76-33=43",
"9+43=52"
] | Current State: 52:[90, 99, 76, 33], Operations: []
Exploring Operation: 99-90=9, Resulting Numbers: [76, 33, 9]
Generated Node #2: [76, 33, 9] from Operation: 99-90=9
Current State: 52:[76, 33, 9], Operations: ['99-90=9']
Exploring Operation: 76-33=43, Resulting Numbers: [9, 43]
Generated Node #3: [9, 43] from Operation: 76-33=43
Current State: 52:[9, 43], Operations: ['99-90=9', '76-33=43']
Exploring Operation: 9+43=52, Resulting Numbers: [52]
52,52 equal: Goal Reached
| 4 |
[
57,
48,
92,
25
] | 53 | [
"48-25=23",
"92/23=4",
"57-4=53"
] | Current State: 53:[57, 48, 92, 25], Operations: []
Exploring Operation: 48-25=23, Resulting Numbers: [57, 92, 23]
Generated Node #2: [57, 92, 23] from Operation: 48-25=23
Current State: 53:[57, 92, 23], Operations: ['48-25=23']
Exploring Operation: 92/23=4, Resulting Numbers: [57, 4]
Generated Node #3: [57, 4] from Operation: 92/23=4
Current State: 53:[57, 4], Operations: ['48-25=23', '92/23=4']
Exploring Operation: 57-4=53, Resulting Numbers: [53]
53,53 equal: Goal Reached
| 4 |
[
44,
50,
22,
21
] | 50 | [
"44-22=22",
"22-21=1",
"50*1=50"
] | Current State: 50:[44, 50, 22, 21], Operations: []
Exploring Operation: 44-22=22, Resulting Numbers: [50, 21, 22]
Generated Node #2: [50, 21, 22] from Operation: 44-22=22
Current State: 50:[50, 21, 22], Operations: ['44-22=22']
Exploring Operation: 22-21=1, Resulting Numbers: [50, 1]
Generated Node #3: [50, 1] from Operation: 22-21=1
Current State: 50:[50, 1], Operations: ['44-22=22', '22-21=1']
Exploring Operation: 50*1=50, Resulting Numbers: [50]
50,50 equal: Goal Reached
| 4 |
[
36,
56,
11,
58
] | 94 | [
"36+11=47",
"58-56=2",
"47*2=94"
] | Current State: 94:[36, 56, 11, 58], Operations: []
Exploring Operation: 36+11=47, Resulting Numbers: [56, 58, 47]
Generated Node #2: [56, 58, 47] from Operation: 36+11=47
Current State: 94:[56, 58, 47], Operations: ['36+11=47']
Exploring Operation: 58-56=2, Resulting Numbers: [47, 2]
Generated Node #3: [47, 2] from Operation: 58-56=2
Current State: 94:[47, 2], Operations: ['36+11=47', '58-56=2']
Exploring Operation: 47*2=94, Resulting Numbers: [94]
94,94 equal: Goal Reached
| 4 |
[
18,
37,
4,
60
] | 70 | [
"18+37=55",
"60/4=15",
"55+15=70"
] | Current State: 70:[18, 37, 4, 60], Operations: []
Exploring Operation: 18+37=55, Resulting Numbers: [4, 60, 55]
Generated Node #2: [4, 60, 55] from Operation: 18+37=55
Current State: 70:[4, 60, 55], Operations: ['18+37=55']
Exploring Operation: 60/4=15, Resulting Numbers: [55, 15]
Generated Node #3: [55, 15] from Operation: 60/4=15
Current State: 70:[55, 15], Operations: ['18+37=55', '60/4=15']
Exploring Operation: 55+15=70, Resulting Numbers: [70]
70,70 equal: Goal Reached
| 4 |
[
46,
49,
19,
25
] | 98 | [
"46-19=27",
"27-25=2",
"49*2=98"
] | Current State: 98:[46, 49, 19, 25], Operations: []
Exploring Operation: 46-19=27, Resulting Numbers: [49, 25, 27]
Generated Node #2: [49, 25, 27] from Operation: 46-19=27
Current State: 98:[49, 25, 27], Operations: ['46-19=27']
Exploring Operation: 27-25=2, Resulting Numbers: [49, 2]
Generated Node #3: [49, 2] from Operation: 27-25=2
Current State: 98:[49, 2], Operations: ['46-19=27', '27-25=2']
Exploring Operation: 49*2=98, Resulting Numbers: [98]
98,98 equal: Goal Reached
| 4 |
[
25,
77,
63,
66
] | 55 | [
"77-25=52",
"66-63=3",
"52+3=55"
] | Current State: 55:[25, 77, 63, 66], Operations: []
Exploring Operation: 77-25=52, Resulting Numbers: [63, 66, 52]
Generated Node #2: [63, 66, 52] from Operation: 77-25=52
Current State: 55:[63, 66, 52], Operations: ['77-25=52']
Exploring Operation: 66-63=3, Resulting Numbers: [52, 3]
Generated Node #3: [52, 3] from Operation: 66-63=3
Current State: 55:[52, 3], Operations: ['77-25=52', '66-63=3']
Exploring Operation: 52+3=55, Resulting Numbers: [55]
55,55 equal: Goal Reached
| 4 |
[
66,
31,
54,
99
] | 50 | [
"54*99=5346",
"5346/66=81",
"81-31=50"
] | Current State: 50:[66, 31, 54, 99], Operations: []
Exploring Operation: 54*99=5346, Resulting Numbers: [66, 31, 5346]
Generated Node #2: [66, 31, 5346] from Operation: 54*99=5346
Current State: 50:[66, 31, 5346], Operations: ['54*99=5346']
Exploring Operation: 5346/66=81, Resulting Numbers: [31, 81]
Generated Node #3: [31, 81] from Operation: 5346/66=81
Current State: 50:[31, 81], Operations: ['54*99=5346', '5346/66=81']
Exploring Operation: 81-31=50, Resulting Numbers: [50]
50,50 equal: Goal Reached
| 4 |
[
21,
16,
93,
35
] | 29 | [
"93+35=128",
"128/16=8",
"21+8=29"
] | Current State: 29:[21, 16, 93, 35], Operations: []
Exploring Operation: 93+35=128, Resulting Numbers: [21, 16, 128]
Generated Node #2: [21, 16, 128] from Operation: 93+35=128
Current State: 29:[21, 16, 128], Operations: ['93+35=128']
Exploring Operation: 128/16=8, Resulting Numbers: [21, 8]
Generated Node #3: [21, 8] from Operation: 128/16=8
Current State: 29:[21, 8], Operations: ['93+35=128', '128/16=8']
Exploring Operation: 21+8=29, Resulting Numbers: [29]
29,29 equal: Goal Reached
| 4 |
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