nums listlengths 4 4 | target int64 10 100 | solution listlengths 3 3 | optimal_path stringlengths 282 529 | start_size int64 4 4 |
|---|---|---|---|---|
[
18,
73,
17,
5
] | 80 | [
"18+17=35",
"35/5=7",
"73+7=80"
] | Current State: 80:[18, 73, 17, 5], Operations: []
Exploring Operation: 18+17=35, Resulting Numbers: [73, 5, 35]
Generated Node #2: [73, 5, 35] from Operation: 18+17=35
Current State: 80:[73, 5, 35], Operations: ['18+17=35']
Exploring Operation: 35/5=7, Resulting Numbers: [73, 7]
Generated Node #3: [73, 7] from Operation: 35/5=7
Current State: 80:[73, 7], Operations: ['18+17=35', '35/5=7']
Exploring Operation: 73+7=80, Resulting Numbers: [80]
80,80 equal: Goal Reached
| 4 |
[
93,
66,
2,
22
] | 99 | [
"66*2=132",
"132/22=6",
"93+6=99"
] | Current State: 99:[93, 66, 2, 22], Operations: []
Exploring Operation: 66*2=132, Resulting Numbers: [93, 22, 132]
Generated Node #2: [93, 22, 132] from Operation: 66*2=132
Current State: 99:[93, 22, 132], Operations: ['66*2=132']
Exploring Operation: 132/22=6, Resulting Numbers: [93, 6]
Generated Node #3: [93, 6] from Operation: 132/22=6
Current State: 99:[93, 6], Operations: ['66*2=132', '132/22=6']
Exploring Operation: 93+6=99, Resulting Numbers: [99]
99,99 equal: Goal Reached
| 4 |
[
28,
82,
63,
57
] | 60 | [
"82-28=54",
"63-57=6",
"54+6=60"
] | Current State: 60:[28, 82, 63, 57], Operations: []
Exploring Operation: 82-28=54, Resulting Numbers: [63, 57, 54]
Generated Node #2: [63, 57, 54] from Operation: 82-28=54
Current State: 60:[63, 57, 54], Operations: ['82-28=54']
Exploring Operation: 63-57=6, Resulting Numbers: [54, 6]
Generated Node #3: [54, 6] from Operation: 63-57=6
Current State: 60:[54, 6], Operations: ['82-28=54', '63-57=6']
Exploring Operation: 54+6=60, Resulting Numbers: [60]
60,60 equal: Goal Reached
| 4 |
[
17,
27,
26,
61
] | 64 | [
"26-17=9",
"27/9=3",
"61+3=64"
] | Current State: 64:[17, 27, 26, 61], Operations: []
Exploring Operation: 26-17=9, Resulting Numbers: [27, 61, 9]
Generated Node #2: [27, 61, 9] from Operation: 26-17=9
Current State: 64:[27, 61, 9], Operations: ['26-17=9']
Exploring Operation: 27/9=3, Resulting Numbers: [61, 3]
Generated Node #3: [61, 3] from Operation: 27/9=3
Current State: 64:[61, 3], Operations: ['26-17=9', '27/9=3']
Exploring Operation: 61+3=64, Resulting Numbers: [64]
64,64 equal: Goal Reached
| 4 |
[
72,
43,
41,
10
] | 64 | [
"72+43=115",
"41+10=51",
"115-51=64"
] | Current State: 64:[72, 43, 41, 10], Operations: []
Exploring Operation: 72+43=115, Resulting Numbers: [41, 10, 115]
Generated Node #2: [41, 10, 115] from Operation: 72+43=115
Current State: 64:[41, 10, 115], Operations: ['72+43=115']
Exploring Operation: 41+10=51, Resulting Numbers: [115, 51]
Generated Node #3: [115, 51] from Operation: 41+10=51
Current State: 64:[115, 51], Operations: ['72+43=115', '41+10=51']
Exploring Operation: 115-51=64, Resulting Numbers: [64]
64,64 equal: Goal Reached
| 4 |
[
46,
41,
61,
10
] | 92 | [
"61-41=20",
"46*20=920",
"920/10=92"
] | Current State: 92:[46, 41, 61, 10], Operations: []
Exploring Operation: 61-41=20, Resulting Numbers: [46, 10, 20]
Generated Node #2: [46, 10, 20] from Operation: 61-41=20
Current State: 92:[46, 10, 20], Operations: ['61-41=20']
Exploring Operation: 46*20=920, Resulting Numbers: [10, 920]
Generated Node #3: [10, 920] from Operation: 46*20=920
Current State: 92:[10, 920], Operations: ['61-41=20', '46*20=920']
Exploring Operation: 920/10=92, Resulting Numbers: [92]
92,92 equal: Goal Reached
| 4 |
[
59,
6,
91,
56
] | 40 | [
"59+6=65",
"56*65=3640",
"3640/91=40"
] | Current State: 40:[59, 6, 91, 56], Operations: []
Exploring Operation: 59+6=65, Resulting Numbers: [91, 56, 65]
Generated Node #2: [91, 56, 65] from Operation: 59+6=65
Current State: 40:[91, 56, 65], Operations: ['59+6=65']
Exploring Operation: 56*65=3640, Resulting Numbers: [91, 3640]
Generated Node #3: [91, 3640] from Operation: 56*65=3640
Current State: 40:[91, 3640], Operations: ['59+6=65', '56*65=3640']
Exploring Operation: 3640/91=40, Resulting Numbers: [40]
40,40 equal: Goal Reached
| 4 |
[
92,
30,
22,
25
] | 14 | [
"92-22=70",
"30-25=5",
"70/5=14"
] | Current State: 14:[92, 30, 22, 25], Operations: []
Exploring Operation: 92-22=70, Resulting Numbers: [30, 25, 70]
Generated Node #2: [30, 25, 70] from Operation: 92-22=70
Current State: 14:[30, 25, 70], Operations: ['92-22=70']
Exploring Operation: 30-25=5, Resulting Numbers: [70, 5]
Generated Node #3: [70, 5] from Operation: 30-25=5
Current State: 14:[70, 5], Operations: ['92-22=70', '30-25=5']
Exploring Operation: 70/5=14, Resulting Numbers: [14]
14,14 equal: Goal Reached
| 4 |
[
35,
5,
20,
75
] | 43 | [
"20*75=1500",
"5+1500=1505",
"1505/35=43"
] | Current State: 43:[35, 5, 20, 75], Operations: []
Exploring Operation: 20*75=1500, Resulting Numbers: [35, 5, 1500]
Generated Node #2: [35, 5, 1500] from Operation: 20*75=1500
Current State: 43:[35, 5, 1500], Operations: ['20*75=1500']
Exploring Operation: 5+1500=1505, Resulting Numbers: [35, 1505]
Generated Node #3: [35, 1505] from Operation: 5+1500=1505
Current State: 43:[35, 1505], Operations: ['20*75=1500', '5+1500=1505']
Exploring Operation: 1505/35=43, Resulting Numbers: [43]
43,43 equal: Goal Reached
| 4 |
[
90,
18,
2,
81
] | 36 | [
"90-81=9",
"2*9=18",
"18+18=36"
] | Current State: 36:[90, 18, 2, 81], Operations: []
Exploring Operation: 90-81=9, Resulting Numbers: [18, 2, 9]
Generated Node #2: [18, 2, 9] from Operation: 90-81=9
Current State: 36:[18, 2, 9], Operations: ['90-81=9']
Exploring Operation: 2*9=18, Resulting Numbers: [18, 18]
Generated Node #3: [18, 18] from Operation: 2*9=18
Current State: 36:[18, 18], Operations: ['90-81=9', '2*9=18']
Exploring Operation: 18+18=36, Resulting Numbers: [36]
36,36 equal: Goal Reached
| 4 |
[
17,
27,
18,
43
] | 90 | [
"17+43=60",
"27*60=1620",
"1620/18=90"
] | Current State: 90:[17, 27, 18, 43], Operations: []
Exploring Operation: 17+43=60, Resulting Numbers: [27, 18, 60]
Generated Node #2: [27, 18, 60] from Operation: 17+43=60
Current State: 90:[27, 18, 60], Operations: ['17+43=60']
Exploring Operation: 27*60=1620, Resulting Numbers: [18, 1620]
Generated Node #3: [18, 1620] from Operation: 27*60=1620
Current State: 90:[18, 1620], Operations: ['17+43=60', '27*60=1620']
Exploring Operation: 1620/18=90, Resulting Numbers: [90]
90,90 equal: Goal Reached
| 4 |
[
66,
43,
72,
42
] | 79 | [
"66+43=109",
"72-42=30",
"109-30=79"
] | Current State: 79:[66, 43, 72, 42], Operations: []
Exploring Operation: 66+43=109, Resulting Numbers: [72, 42, 109]
Generated Node #2: [72, 42, 109] from Operation: 66+43=109
Current State: 79:[72, 42, 109], Operations: ['66+43=109']
Exploring Operation: 72-42=30, Resulting Numbers: [109, 30]
Generated Node #3: [109, 30] from Operation: 72-42=30
Current State: 79:[109, 30], Operations: ['66+43=109', '72-42=30']
Exploring Operation: 109-30=79, Resulting Numbers: [79]
79,79 equal: Goal Reached
| 4 |
[
32,
2,
50,
7
] | 61 | [
"32+7=39",
"2*50=100",
"100-39=61"
] | Current State: 61:[32, 2, 50, 7], Operations: []
Exploring Operation: 32+7=39, Resulting Numbers: [2, 50, 39]
Generated Node #2: [2, 50, 39] from Operation: 32+7=39
Current State: 61:[2, 50, 39], Operations: ['32+7=39']
Exploring Operation: 2*50=100, Resulting Numbers: [39, 100]
Generated Node #3: [39, 100] from Operation: 2*50=100
Current State: 61:[39, 100], Operations: ['32+7=39', '2*50=100']
Exploring Operation: 100-39=61, Resulting Numbers: [61]
61,61 equal: Goal Reached
| 4 |
[
46,
20,
13,
11
] | 56 | [
"13-11=2",
"20/2=10",
"46+10=56"
] | Current State: 56:[46, 20, 13, 11], Operations: []
Exploring Operation: 13-11=2, Resulting Numbers: [46, 20, 2]
Generated Node #2: [46, 20, 2] from Operation: 13-11=2
Current State: 56:[46, 20, 2], Operations: ['13-11=2']
Exploring Operation: 20/2=10, Resulting Numbers: [46, 10]
Generated Node #3: [46, 10] from Operation: 20/2=10
Current State: 56:[46, 10], Operations: ['13-11=2', '20/2=10']
Exploring Operation: 46+10=56, Resulting Numbers: [56]
56,56 equal: Goal Reached
| 4 |
[
25,
96,
72,
90
] | 95 | [
"96*90=8640",
"8640/72=120",
"120-25=95"
] | Current State: 95:[25, 96, 72, 90], Operations: []
Exploring Operation: 96*90=8640, Resulting Numbers: [25, 72, 8640]
Generated Node #2: [25, 72, 8640] from Operation: 96*90=8640
Current State: 95:[25, 72, 8640], Operations: ['96*90=8640']
Exploring Operation: 8640/72=120, Resulting Numbers: [25, 120]
Generated Node #3: [25, 120] from Operation: 8640/72=120
Current State: 95:[25, 120], Operations: ['96*90=8640', '8640/72=120']
Exploring Operation: 120-25=95, Resulting Numbers: [95]
95,95 equal: Goal Reached
| 4 |
[
52,
65,
21,
96
] | 42 | [
"52+65=117",
"96-21=75",
"117-75=42"
] | Current State: 42:[52, 65, 21, 96], Operations: []
Exploring Operation: 52+65=117, Resulting Numbers: [21, 96, 117]
Generated Node #2: [21, 96, 117] from Operation: 52+65=117
Current State: 42:[21, 96, 117], Operations: ['52+65=117']
Exploring Operation: 96-21=75, Resulting Numbers: [117, 75]
Generated Node #3: [117, 75] from Operation: 96-21=75
Current State: 42:[117, 75], Operations: ['52+65=117', '96-21=75']
Exploring Operation: 117-75=42, Resulting Numbers: [42]
42,42 equal: Goal Reached
| 4 |
[
87,
58,
54,
27
] | 29 | [
"58*54=3132",
"3132/27=116",
"116-87=29"
] | Current State: 29:[87, 58, 54, 27], Operations: []
Exploring Operation: 58*54=3132, Resulting Numbers: [87, 27, 3132]
Generated Node #2: [87, 27, 3132] from Operation: 58*54=3132
Current State: 29:[87, 27, 3132], Operations: ['58*54=3132']
Exploring Operation: 3132/27=116, Resulting Numbers: [87, 116]
Generated Node #3: [87, 116] from Operation: 3132/27=116
Current State: 29:[87, 116], Operations: ['58*54=3132', '3132/27=116']
Exploring Operation: 116-87=29, Resulting Numbers: [29]
29,29 equal: Goal Reached
| 4 |
[
11,
15,
47,
25
] | 18 | [
"15-11=4",
"47+25=72",
"72/4=18"
] | Current State: 18:[11, 15, 47, 25], Operations: []
Exploring Operation: 15-11=4, Resulting Numbers: [47, 25, 4]
Generated Node #2: [47, 25, 4] from Operation: 15-11=4
Current State: 18:[47, 25, 4], Operations: ['15-11=4']
Exploring Operation: 47+25=72, Resulting Numbers: [4, 72]
Generated Node #3: [4, 72] from Operation: 47+25=72
Current State: 18:[4, 72], Operations: ['15-11=4', '47+25=72']
Exploring Operation: 72/4=18, Resulting Numbers: [18]
18,18 equal: Goal Reached
| 4 |
[
19,
13,
70,
13
] | 10 | [
"19-13=6",
"13-6=7",
"70/7=10"
] | Current State: 10:[19, 13, 70, 13], Operations: []
Exploring Operation: 19-13=6, Resulting Numbers: [70, 6]
Generated Node #2: [70, 6] from Operation: 19-13=6
Current State: 10:[70, 6], Operations: ['19-13=6']
Exploring Operation: 13-6=7, Resulting Numbers: [70, 7]
Generated Node #3: [70, 7] from Operation: 13-6=7
Current State: 10:[70, 7], Operations: ['19-13=6', '13-6=7']
Exploring Operation: 70/7=10, Resulting Numbers: [10]
10,10 equal: Goal Reached
| 4 |
[
84,
56,
99,
6
] | 60 | [
"56*99=5544",
"5544/84=66",
"66-6=60"
] | Current State: 60:[84, 56, 99, 6], Operations: []
Exploring Operation: 56*99=5544, Resulting Numbers: [84, 6, 5544]
Generated Node #2: [84, 6, 5544] from Operation: 56*99=5544
Current State: 60:[84, 6, 5544], Operations: ['56*99=5544']
Exploring Operation: 5544/84=66, Resulting Numbers: [6, 66]
Generated Node #3: [6, 66] from Operation: 5544/84=66
Current State: 60:[6, 66], Operations: ['56*99=5544', '5544/84=66']
Exploring Operation: 66-6=60, Resulting Numbers: [60]
60,60 equal: Goal Reached
| 4 |
[
74,
96,
10,
95
] | 63 | [
"96-74=22",
"95-10=85",
"85-22=63"
] | Current State: 63:[74, 96, 10, 95], Operations: []
Exploring Operation: 96-74=22, Resulting Numbers: [10, 95, 22]
Generated Node #2: [10, 95, 22] from Operation: 96-74=22
Current State: 63:[10, 95, 22], Operations: ['96-74=22']
Exploring Operation: 95-10=85, Resulting Numbers: [22, 85]
Generated Node #3: [22, 85] from Operation: 95-10=85
Current State: 63:[22, 85], Operations: ['96-74=22', '95-10=85']
Exploring Operation: 85-22=63, Resulting Numbers: [63]
63,63 equal: Goal Reached
| 4 |
[
26,
9,
28,
38
] | 64 | [
"38-28=10",
"9*10=90",
"90-26=64"
] | Current State: 64:[26, 9, 28, 38], Operations: []
Exploring Operation: 38-28=10, Resulting Numbers: [26, 9, 10]
Generated Node #2: [26, 9, 10] from Operation: 38-28=10
Current State: 64:[26, 9, 10], Operations: ['38-28=10']
Exploring Operation: 9*10=90, Resulting Numbers: [26, 90]
Generated Node #3: [26, 90] from Operation: 9*10=90
Current State: 64:[26, 90], Operations: ['38-28=10', '9*10=90']
Exploring Operation: 90-26=64, Resulting Numbers: [64]
64,64 equal: Goal Reached
| 4 |
[
58,
34,
38,
66
] | 12 | [
"58+34=92",
"38+66=104",
"104-92=12"
] | Current State: 12:[58, 34, 38, 66], Operations: []
Exploring Operation: 58+34=92, Resulting Numbers: [38, 66, 92]
Generated Node #2: [38, 66, 92] from Operation: 58+34=92
Current State: 12:[38, 66, 92], Operations: ['58+34=92']
Exploring Operation: 38+66=104, Resulting Numbers: [92, 104]
Generated Node #3: [92, 104] from Operation: 38+66=104
Current State: 12:[92, 104], Operations: ['58+34=92', '38+66=104']
Exploring Operation: 104-92=12, Resulting Numbers: [12]
12,12 equal: Goal Reached
| 4 |
[
7,
49,
54,
32
] | 78 | [
"7+49=56",
"54-32=22",
"56+22=78"
] | Current State: 78:[7, 49, 54, 32], Operations: []
Exploring Operation: 7+49=56, Resulting Numbers: [54, 32, 56]
Generated Node #2: [54, 32, 56] from Operation: 7+49=56
Current State: 78:[54, 32, 56], Operations: ['7+49=56']
Exploring Operation: 54-32=22, Resulting Numbers: [56, 22]
Generated Node #3: [56, 22] from Operation: 54-32=22
Current State: 78:[56, 22], Operations: ['7+49=56', '54-32=22']
Exploring Operation: 56+22=78, Resulting Numbers: [78]
78,78 equal: Goal Reached
| 4 |
[
64,
84,
50,
58
] | 40 | [
"64+84=148",
"50+58=108",
"148-108=40"
] | Current State: 40:[64, 84, 50, 58], Operations: []
Exploring Operation: 64+84=148, Resulting Numbers: [50, 58, 148]
Generated Node #2: [50, 58, 148] from Operation: 64+84=148
Current State: 40:[50, 58, 148], Operations: ['64+84=148']
Exploring Operation: 50+58=108, Resulting Numbers: [148, 108]
Generated Node #3: [148, 108] from Operation: 50+58=108
Current State: 40:[148, 108], Operations: ['64+84=148', '50+58=108']
Exploring Operation: 148-108=40, Resulting Numbers: [40]
40,40 equal: Goal Reached
| 4 |
[
52,
13,
9,
20
] | 89 | [
"52/13=4",
"20*4=80",
"9+80=89"
] | Current State: 89:[52, 13, 9, 20], Operations: []
Exploring Operation: 52/13=4, Resulting Numbers: [9, 20, 4]
Generated Node #2: [9, 20, 4] from Operation: 52/13=4
Current State: 89:[9, 20, 4], Operations: ['52/13=4']
Exploring Operation: 20*4=80, Resulting Numbers: [9, 80]
Generated Node #3: [9, 80] from Operation: 20*4=80
Current State: 89:[9, 80], Operations: ['52/13=4', '20*4=80']
Exploring Operation: 9+80=89, Resulting Numbers: [89]
89,89 equal: Goal Reached
| 4 |
[
10,
24,
67,
87
] | 13 | [
"67-24=43",
"87+43=130",
"130/10=13"
] | Current State: 13:[10, 24, 67, 87], Operations: []
Exploring Operation: 67-24=43, Resulting Numbers: [10, 87, 43]
Generated Node #2: [10, 87, 43] from Operation: 67-24=43
Current State: 13:[10, 87, 43], Operations: ['67-24=43']
Exploring Operation: 87+43=130, Resulting Numbers: [10, 130]
Generated Node #3: [10, 130] from Operation: 87+43=130
Current State: 13:[10, 130], Operations: ['67-24=43', '87+43=130']
Exploring Operation: 130/10=13, Resulting Numbers: [13]
13,13 equal: Goal Reached
| 4 |
[
84,
19,
54,
24
] | 13 | [
"84-19=65",
"54+24=78",
"78-65=13"
] | Current State: 13:[84, 19, 54, 24], Operations: []
Exploring Operation: 84-19=65, Resulting Numbers: [54, 24, 65]
Generated Node #2: [54, 24, 65] from Operation: 84-19=65
Current State: 13:[54, 24, 65], Operations: ['84-19=65']
Exploring Operation: 54+24=78, Resulting Numbers: [65, 78]
Generated Node #3: [65, 78] from Operation: 54+24=78
Current State: 13:[65, 78], Operations: ['84-19=65', '54+24=78']
Exploring Operation: 78-65=13, Resulting Numbers: [13]
13,13 equal: Goal Reached
| 4 |
[
59,
81,
44,
92
] | 92 | [
"59+81=140",
"92-44=48",
"140-48=92"
] | Current State: 92:[59, 81, 44, 92], Operations: []
Exploring Operation: 59+81=140, Resulting Numbers: [44, 92, 140]
Generated Node #2: [44, 92, 140] from Operation: 59+81=140
Current State: 92:[44, 92, 140], Operations: ['59+81=140']
Exploring Operation: 92-44=48, Resulting Numbers: [140, 48]
Generated Node #3: [140, 48] from Operation: 92-44=48
Current State: 92:[140, 48], Operations: ['59+81=140', '92-44=48']
Exploring Operation: 140-48=92, Resulting Numbers: [92]
92,92 equal: Goal Reached
| 4 |
[
43,
46,
48,
35
] | 39 | [
"46-43=3",
"48-35=13",
"3*13=39"
] | Current State: 39:[43, 46, 48, 35], Operations: []
Exploring Operation: 46-43=3, Resulting Numbers: [48, 35, 3]
Generated Node #2: [48, 35, 3] from Operation: 46-43=3
Current State: 39:[48, 35, 3], Operations: ['46-43=3']
Exploring Operation: 48-35=13, Resulting Numbers: [3, 13]
Generated Node #3: [3, 13] from Operation: 48-35=13
Current State: 39:[3, 13], Operations: ['46-43=3', '48-35=13']
Exploring Operation: 3*13=39, Resulting Numbers: [39]
39,39 equal: Goal Reached
| 4 |
[
16,
96,
46,
40
] | 36 | [
"96/16=6",
"46-40=6",
"6*6=36"
] | Current State: 36:[16, 96, 46, 40], Operations: []
Exploring Operation: 96/16=6, Resulting Numbers: [46, 40, 6]
Generated Node #2: [46, 40, 6] from Operation: 96/16=6
Current State: 36:[46, 40, 6], Operations: ['96/16=6']
Exploring Operation: 46-40=6, Resulting Numbers: [6, 6]
Generated Node #3: [6, 6] from Operation: 46-40=6
Current State: 36:[6, 6], Operations: ['96/16=6', '46-40=6']
Exploring Operation: 6*6=36, Resulting Numbers: [36]
36,36 equal: Goal Reached
| 4 |
[
45,
83,
64,
51
] | 90 | [
"45*64=2880",
"83-51=32",
"2880/32=90"
] | Current State: 90:[45, 83, 64, 51], Operations: []
Exploring Operation: 45*64=2880, Resulting Numbers: [83, 51, 2880]
Generated Node #2: [83, 51, 2880] from Operation: 45*64=2880
Current State: 90:[83, 51, 2880], Operations: ['45*64=2880']
Exploring Operation: 83-51=32, Resulting Numbers: [2880, 32]
Generated Node #3: [2880, 32] from Operation: 83-51=32
Current State: 90:[2880, 32], Operations: ['45*64=2880', '83-51=32']
Exploring Operation: 2880/32=90, Resulting Numbers: [90]
90,90 equal: Goal Reached
| 4 |
[
8,
77,
58,
7
] | 37 | [
"8*7=56",
"77-58=19",
"56-19=37"
] | Current State: 37:[8, 77, 58, 7], Operations: []
Exploring Operation: 8*7=56, Resulting Numbers: [77, 58, 56]
Generated Node #2: [77, 58, 56] from Operation: 8*7=56
Current State: 37:[77, 58, 56], Operations: ['8*7=56']
Exploring Operation: 77-58=19, Resulting Numbers: [56, 19]
Generated Node #3: [56, 19] from Operation: 77-58=19
Current State: 37:[56, 19], Operations: ['8*7=56', '77-58=19']
Exploring Operation: 56-19=37, Resulting Numbers: [37]
37,37 equal: Goal Reached
| 4 |
[
64,
21,
19,
87
] | 21 | [
"64+21=85",
"19+87=106",
"106-85=21"
] | Current State: 21:[64, 21, 19, 87], Operations: []
Exploring Operation: 64+21=85, Resulting Numbers: [19, 87, 85]
Generated Node #2: [19, 87, 85] from Operation: 64+21=85
Current State: 21:[19, 87, 85], Operations: ['64+21=85']
Exploring Operation: 19+87=106, Resulting Numbers: [85, 106]
Generated Node #3: [85, 106] from Operation: 19+87=106
Current State: 21:[85, 106], Operations: ['64+21=85', '19+87=106']
Exploring Operation: 106-85=21, Resulting Numbers: [21]
21,21 equal: Goal Reached
| 4 |
[
76,
50,
3,
42
] | 19 | [
"76-50=26",
"3+42=45",
"45-26=19"
] | Current State: 19:[76, 50, 3, 42], Operations: []
Exploring Operation: 76-50=26, Resulting Numbers: [3, 42, 26]
Generated Node #2: [3, 42, 26] from Operation: 76-50=26
Current State: 19:[3, 42, 26], Operations: ['76-50=26']
Exploring Operation: 3+42=45, Resulting Numbers: [26, 45]
Generated Node #3: [26, 45] from Operation: 3+42=45
Current State: 19:[26, 45], Operations: ['76-50=26', '3+42=45']
Exploring Operation: 45-26=19, Resulting Numbers: [19]
19,19 equal: Goal Reached
| 4 |
[
5,
21,
17,
12
] | 10 | [
"21+17=38",
"12+38=50",
"50/5=10"
] | Current State: 10:[5, 21, 17, 12], Operations: []
Exploring Operation: 21+17=38, Resulting Numbers: [5, 12, 38]
Generated Node #2: [5, 12, 38] from Operation: 21+17=38
Current State: 10:[5, 12, 38], Operations: ['21+17=38']
Exploring Operation: 12+38=50, Resulting Numbers: [5, 50]
Generated Node #3: [5, 50] from Operation: 12+38=50
Current State: 10:[5, 50], Operations: ['21+17=38', '12+38=50']
Exploring Operation: 50/5=10, Resulting Numbers: [10]
10,10 equal: Goal Reached
| 4 |
[
21,
7,
28,
3
] | 45 | [
"21-7=14",
"28+3=31",
"14+31=45"
] | Current State: 45:[21, 7, 28, 3], Operations: []
Exploring Operation: 21-7=14, Resulting Numbers: [28, 3, 14]
Generated Node #2: [28, 3, 14] from Operation: 21-7=14
Current State: 45:[28, 3, 14], Operations: ['21-7=14']
Exploring Operation: 28+3=31, Resulting Numbers: [14, 31]
Generated Node #3: [14, 31] from Operation: 28+3=31
Current State: 45:[14, 31], Operations: ['21-7=14', '28+3=31']
Exploring Operation: 14+31=45, Resulting Numbers: [45]
45,45 equal: Goal Reached
| 4 |
[
80,
13,
23,
56
] | 48 | [
"23-13=10",
"80/10=8",
"56-8=48"
] | Current State: 48:[80, 13, 23, 56], Operations: []
Exploring Operation: 23-13=10, Resulting Numbers: [80, 56, 10]
Generated Node #2: [80, 56, 10] from Operation: 23-13=10
Current State: 48:[80, 56, 10], Operations: ['23-13=10']
Exploring Operation: 80/10=8, Resulting Numbers: [56, 8]
Generated Node #3: [56, 8] from Operation: 80/10=8
Current State: 48:[56, 8], Operations: ['23-13=10', '80/10=8']
Exploring Operation: 56-8=48, Resulting Numbers: [48]
48,48 equal: Goal Reached
| 4 |
[
56,
96,
44,
36
] | 90 | [
"96+44=140",
"36*140=5040",
"5040/56=90"
] | Current State: 90:[56, 96, 44, 36], Operations: []
Exploring Operation: 96+44=140, Resulting Numbers: [56, 36, 140]
Generated Node #2: [56, 36, 140] from Operation: 96+44=140
Current State: 90:[56, 36, 140], Operations: ['96+44=140']
Exploring Operation: 36*140=5040, Resulting Numbers: [56, 5040]
Generated Node #3: [56, 5040] from Operation: 36*140=5040
Current State: 90:[56, 5040], Operations: ['96+44=140', '36*140=5040']
Exploring Operation: 5040/56=90, Resulting Numbers: [90]
90,90 equal: Goal Reached
| 4 |
[
65,
83,
35,
86
] | 40 | [
"86-83=3",
"35*3=105",
"105-65=40"
] | Current State: 40:[65, 83, 35, 86], Operations: []
Exploring Operation: 86-83=3, Resulting Numbers: [65, 35, 3]
Generated Node #2: [65, 35, 3] from Operation: 86-83=3
Current State: 40:[65, 35, 3], Operations: ['86-83=3']
Exploring Operation: 35*3=105, Resulting Numbers: [65, 105]
Generated Node #3: [65, 105] from Operation: 35*3=105
Current State: 40:[65, 105], Operations: ['86-83=3', '35*3=105']
Exploring Operation: 105-65=40, Resulting Numbers: [40]
40,40 equal: Goal Reached
| 4 |
[
58,
70,
82,
59
] | 57 | [
"58+82=140",
"140/70=2",
"59-2=57"
] | Current State: 57:[58, 70, 82, 59], Operations: []
Exploring Operation: 58+82=140, Resulting Numbers: [70, 59, 140]
Generated Node #2: [70, 59, 140] from Operation: 58+82=140
Current State: 57:[70, 59, 140], Operations: ['58+82=140']
Exploring Operation: 140/70=2, Resulting Numbers: [59, 2]
Generated Node #3: [59, 2] from Operation: 140/70=2
Current State: 57:[59, 2], Operations: ['58+82=140', '140/70=2']
Exploring Operation: 59-2=57, Resulting Numbers: [57]
57,57 equal: Goal Reached
| 4 |
[
23,
50,
36,
72
] | 81 | [
"50-23=27",
"36+72=108",
"108-27=81"
] | Current State: 81:[23, 50, 36, 72], Operations: []
Exploring Operation: 50-23=27, Resulting Numbers: [36, 72, 27]
Generated Node #2: [36, 72, 27] from Operation: 50-23=27
Current State: 81:[36, 72, 27], Operations: ['50-23=27']
Exploring Operation: 36+72=108, Resulting Numbers: [27, 108]
Generated Node #3: [27, 108] from Operation: 36+72=108
Current State: 81:[27, 108], Operations: ['50-23=27', '36+72=108']
Exploring Operation: 108-27=81, Resulting Numbers: [81]
81,81 equal: Goal Reached
| 4 |
[
87,
8,
6,
96
] | 41 | [
"8*96=768",
"768/6=128",
"128-87=41"
] | Current State: 41:[87, 8, 6, 96], Operations: []
Exploring Operation: 8*96=768, Resulting Numbers: [87, 6, 768]
Generated Node #2: [87, 6, 768] from Operation: 8*96=768
Current State: 41:[87, 6, 768], Operations: ['8*96=768']
Exploring Operation: 768/6=128, Resulting Numbers: [87, 128]
Generated Node #3: [87, 128] from Operation: 768/6=128
Current State: 41:[87, 128], Operations: ['8*96=768', '768/6=128']
Exploring Operation: 128-87=41, Resulting Numbers: [41]
41,41 equal: Goal Reached
| 4 |
[
24,
78,
29,
18
] | 25 | [
"78+18=96",
"96/24=4",
"29-4=25"
] | Current State: 25:[24, 78, 29, 18], Operations: []
Exploring Operation: 78+18=96, Resulting Numbers: [24, 29, 96]
Generated Node #2: [24, 29, 96] from Operation: 78+18=96
Current State: 25:[24, 29, 96], Operations: ['78+18=96']
Exploring Operation: 96/24=4, Resulting Numbers: [29, 4]
Generated Node #3: [29, 4] from Operation: 96/24=4
Current State: 25:[29, 4], Operations: ['78+18=96', '96/24=4']
Exploring Operation: 29-4=25, Resulting Numbers: [25]
25,25 equal: Goal Reached
| 4 |
[
78,
86,
96,
12
] | 39 | [
"96-86=10",
"12-10=2",
"78/2=39"
] | Current State: 39:[78, 86, 96, 12], Operations: []
Exploring Operation: 96-86=10, Resulting Numbers: [78, 12, 10]
Generated Node #2: [78, 12, 10] from Operation: 96-86=10
Current State: 39:[78, 12, 10], Operations: ['96-86=10']
Exploring Operation: 12-10=2, Resulting Numbers: [78, 2]
Generated Node #3: [78, 2] from Operation: 12-10=2
Current State: 39:[78, 2], Operations: ['96-86=10', '12-10=2']
Exploring Operation: 78/2=39, Resulting Numbers: [39]
39,39 equal: Goal Reached
| 4 |
[
42,
11,
75,
42
] | 86 | [
"42+11=53",
"75-42=33",
"53+33=86"
] | Current State: 86:[42, 11, 75, 42], Operations: []
Exploring Operation: 42+11=53, Resulting Numbers: [75, 53]
Generated Node #2: [75, 53] from Operation: 42+11=53
Current State: 86:[75, 53], Operations: ['42+11=53']
Exploring Operation: 75-42=33, Resulting Numbers: [53, 33]
Generated Node #3: [53, 33] from Operation: 75-42=33
Current State: 86:[53, 33], Operations: ['42+11=53', '75-42=33']
Exploring Operation: 53+33=86, Resulting Numbers: [86]
86,86 equal: Goal Reached
| 4 |
[
94,
81,
37,
35
] | 11 | [
"94-81=13",
"37-35=2",
"13-2=11"
] | Current State: 11:[94, 81, 37, 35], Operations: []
Exploring Operation: 94-81=13, Resulting Numbers: [37, 35, 13]
Generated Node #2: [37, 35, 13] from Operation: 94-81=13
Current State: 11:[37, 35, 13], Operations: ['94-81=13']
Exploring Operation: 37-35=2, Resulting Numbers: [13, 2]
Generated Node #3: [13, 2] from Operation: 37-35=2
Current State: 11:[13, 2], Operations: ['94-81=13', '37-35=2']
Exploring Operation: 13-2=11, Resulting Numbers: [11]
11,11 equal: Goal Reached
| 4 |
[
2,
81,
54,
12
] | 10 | [
"54*12=648",
"648/81=8",
"2+8=10"
] | Current State: 10:[2, 81, 54, 12], Operations: []
Exploring Operation: 54*12=648, Resulting Numbers: [2, 81, 648]
Generated Node #2: [2, 81, 648] from Operation: 54*12=648
Current State: 10:[2, 81, 648], Operations: ['54*12=648']
Exploring Operation: 648/81=8, Resulting Numbers: [2, 8]
Generated Node #3: [2, 8] from Operation: 648/81=8
Current State: 10:[2, 8], Operations: ['54*12=648', '648/81=8']
Exploring Operation: 2+8=10, Resulting Numbers: [10]
10,10 equal: Goal Reached
| 4 |
[
18,
50,
33,
53
] | 45 | [
"18*50=900",
"53-33=20",
"900/20=45"
] | Current State: 45:[18, 50, 33, 53], Operations: []
Exploring Operation: 18*50=900, Resulting Numbers: [33, 53, 900]
Generated Node #2: [33, 53, 900] from Operation: 18*50=900
Current State: 45:[33, 53, 900], Operations: ['18*50=900']
Exploring Operation: 53-33=20, Resulting Numbers: [900, 20]
Generated Node #3: [900, 20] from Operation: 53-33=20
Current State: 45:[900, 20], Operations: ['18*50=900', '53-33=20']
Exploring Operation: 900/20=45, Resulting Numbers: [45]
45,45 equal: Goal Reached
| 4 |
[
4,
82,
69,
87
] | 43 | [
"69+87=156",
"156/4=39",
"82-39=43"
] | Current State: 43:[4, 82, 69, 87], Operations: []
Exploring Operation: 69+87=156, Resulting Numbers: [4, 82, 156]
Generated Node #2: [4, 82, 156] from Operation: 69+87=156
Current State: 43:[4, 82, 156], Operations: ['69+87=156']
Exploring Operation: 156/4=39, Resulting Numbers: [82, 39]
Generated Node #3: [82, 39] from Operation: 156/4=39
Current State: 43:[82, 39], Operations: ['69+87=156', '156/4=39']
Exploring Operation: 82-39=43, Resulting Numbers: [43]
43,43 equal: Goal Reached
| 4 |
[
44,
28,
40,
87
] | 95 | [
"44*87=3828",
"3828-28=3800",
"3800/40=95"
] | Current State: 95:[44, 28, 40, 87], Operations: []
Exploring Operation: 44*87=3828, Resulting Numbers: [28, 40, 3828]
Generated Node #2: [28, 40, 3828] from Operation: 44*87=3828
Current State: 95:[28, 40, 3828], Operations: ['44*87=3828']
Exploring Operation: 3828-28=3800, Resulting Numbers: [40, 3800]
Generated Node #3: [40, 3800] from Operation: 3828-28=3800
Current State: 95:[40, 3800], Operations: ['44*87=3828', '3828-28=3800']
Exploring Operation: 3800/40=95, Resulting Numbers: [95]
95,95 equal: Goal Reached
| 4 |
[
55,
55,
15,
46
] | 33 | [
"55-46=9",
"55*9=495",
"495/15=33"
] | Current State: 33:[55, 55, 15, 46], Operations: []
Exploring Operation: 55-46=9, Resulting Numbers: [15, 9]
Generated Node #2: [15, 9] from Operation: 55-46=9
Current State: 33:[15, 9], Operations: ['55-46=9']
Exploring Operation: 55*9=495, Resulting Numbers: [15, 495]
Generated Node #3: [15, 495] from Operation: 55*9=495
Current State: 33:[15, 495], Operations: ['55-46=9', '55*9=495']
Exploring Operation: 495/15=33, Resulting Numbers: [33]
33,33 equal: Goal Reached
| 4 |
[
77,
64,
52,
4
] | 29 | [
"64-52=12",
"4*12=48",
"77-48=29"
] | Current State: 29:[77, 64, 52, 4], Operations: []
Exploring Operation: 64-52=12, Resulting Numbers: [77, 4, 12]
Generated Node #2: [77, 4, 12] from Operation: 64-52=12
Current State: 29:[77, 4, 12], Operations: ['64-52=12']
Exploring Operation: 4*12=48, Resulting Numbers: [77, 48]
Generated Node #3: [77, 48] from Operation: 4*12=48
Current State: 29:[77, 48], Operations: ['64-52=12', '4*12=48']
Exploring Operation: 77-48=29, Resulting Numbers: [29]
29,29 equal: Goal Reached
| 4 |
[
22,
38,
73,
30
] | 87 | [
"38-22=16",
"73+30=103",
"103-16=87"
] | Current State: 87:[22, 38, 73, 30], Operations: []
Exploring Operation: 38-22=16, Resulting Numbers: [73, 30, 16]
Generated Node #2: [73, 30, 16] from Operation: 38-22=16
Current State: 87:[73, 30, 16], Operations: ['38-22=16']
Exploring Operation: 73+30=103, Resulting Numbers: [16, 103]
Generated Node #3: [16, 103] from Operation: 73+30=103
Current State: 87:[16, 103], Operations: ['38-22=16', '73+30=103']
Exploring Operation: 103-16=87, Resulting Numbers: [87]
87,87 equal: Goal Reached
| 4 |
[
6,
49,
77,
14
] | 35 | [
"49+77=126",
"126/6=21",
"14+21=35"
] | Current State: 35:[6, 49, 77, 14], Operations: []
Exploring Operation: 49+77=126, Resulting Numbers: [6, 14, 126]
Generated Node #2: [6, 14, 126] from Operation: 49+77=126
Current State: 35:[6, 14, 126], Operations: ['49+77=126']
Exploring Operation: 126/6=21, Resulting Numbers: [14, 21]
Generated Node #3: [14, 21] from Operation: 126/6=21
Current State: 35:[14, 21], Operations: ['49+77=126', '126/6=21']
Exploring Operation: 14+21=35, Resulting Numbers: [35]
35,35 equal: Goal Reached
| 4 |
[
44,
9,
25,
21
] | 49 | [
"44+9=53",
"25-21=4",
"53-4=49"
] | Current State: 49:[44, 9, 25, 21], Operations: []
Exploring Operation: 44+9=53, Resulting Numbers: [25, 21, 53]
Generated Node #2: [25, 21, 53] from Operation: 44+9=53
Current State: 49:[25, 21, 53], Operations: ['44+9=53']
Exploring Operation: 25-21=4, Resulting Numbers: [53, 4]
Generated Node #3: [53, 4] from Operation: 25-21=4
Current State: 49:[53, 4], Operations: ['44+9=53', '25-21=4']
Exploring Operation: 53-4=49, Resulting Numbers: [49]
49,49 equal: Goal Reached
| 4 |
[
20,
99,
56,
77
] | 14 | [
"20+99=119",
"56+77=133",
"133-119=14"
] | Current State: 14:[20, 99, 56, 77], Operations: []
Exploring Operation: 20+99=119, Resulting Numbers: [56, 77, 119]
Generated Node #2: [56, 77, 119] from Operation: 20+99=119
Current State: 14:[56, 77, 119], Operations: ['20+99=119']
Exploring Operation: 56+77=133, Resulting Numbers: [119, 133]
Generated Node #3: [119, 133] from Operation: 56+77=133
Current State: 14:[119, 133], Operations: ['20+99=119', '56+77=133']
Exploring Operation: 133-119=14, Resulting Numbers: [14]
14,14 equal: Goal Reached
| 4 |
[
60,
2,
2,
23
] | 23 | [
"2-2=0",
"60*0=0",
"23+0=23"
] | Current State: 23:[60, 2, 2, 23], Operations: []
Exploring Operation: 2-2=0, Resulting Numbers: [60, 23, 0]
Generated Node #2: [60, 23, 0] from Operation: 2-2=0
Current State: 23:[60, 23, 0], Operations: ['2-2=0']
Exploring Operation: 60*0=0, Resulting Numbers: [23, 0]
Generated Node #3: [23, 0] from Operation: 60*0=0
Current State: 23:[23, 0], Operations: ['2-2=0', '60*0=0']
Exploring Operation: 23+0=23, Resulting Numbers: [23]
23,23 equal: Goal Reached
| 4 |
[
30,
22,
88,
13
] | 55 | [
"88-13=75",
"22*75=1650",
"1650/30=55"
] | Current State: 55:[30, 22, 88, 13], Operations: []
Exploring Operation: 88-13=75, Resulting Numbers: [30, 22, 75]
Generated Node #2: [30, 22, 75] from Operation: 88-13=75
Current State: 55:[30, 22, 75], Operations: ['88-13=75']
Exploring Operation: 22*75=1650, Resulting Numbers: [30, 1650]
Generated Node #3: [30, 1650] from Operation: 22*75=1650
Current State: 55:[30, 1650], Operations: ['88-13=75', '22*75=1650']
Exploring Operation: 1650/30=55, Resulting Numbers: [55]
55,55 equal: Goal Reached
| 4 |
[
41,
28,
74,
33
] | 94 | [
"41-28=13",
"74+33=107",
"107-13=94"
] | Current State: 94:[41, 28, 74, 33], Operations: []
Exploring Operation: 41-28=13, Resulting Numbers: [74, 33, 13]
Generated Node #2: [74, 33, 13] from Operation: 41-28=13
Current State: 94:[74, 33, 13], Operations: ['41-28=13']
Exploring Operation: 74+33=107, Resulting Numbers: [13, 107]
Generated Node #3: [13, 107] from Operation: 74+33=107
Current State: 94:[13, 107], Operations: ['41-28=13', '74+33=107']
Exploring Operation: 107-13=94, Resulting Numbers: [94]
94,94 equal: Goal Reached
| 4 |
[
95,
55,
97,
43
] | 100 | [
"95-55=40",
"97+43=140",
"140-40=100"
] | Current State: 100:[95, 55, 97, 43], Operations: []
Exploring Operation: 95-55=40, Resulting Numbers: [97, 43, 40]
Generated Node #2: [97, 43, 40] from Operation: 95-55=40
Current State: 100:[97, 43, 40], Operations: ['95-55=40']
Exploring Operation: 97+43=140, Resulting Numbers: [40, 140]
Generated Node #3: [40, 140] from Operation: 97+43=140
Current State: 100:[40, 140], Operations: ['95-55=40', '97+43=140']
Exploring Operation: 140-40=100, Resulting Numbers: [100]
100,100 equal: Goal Reached
| 4 |
[
1,
63,
78,
8
] | 22 | [
"1+63=64",
"78+8=86",
"86-64=22"
] | Current State: 22:[1, 63, 78, 8], Operations: []
Exploring Operation: 1+63=64, Resulting Numbers: [78, 8, 64]
Generated Node #2: [78, 8, 64] from Operation: 1+63=64
Current State: 22:[78, 8, 64], Operations: ['1+63=64']
Exploring Operation: 78+8=86, Resulting Numbers: [64, 86]
Generated Node #3: [64, 86] from Operation: 78+8=86
Current State: 22:[64, 86], Operations: ['1+63=64', '78+8=86']
Exploring Operation: 86-64=22, Resulting Numbers: [22]
22,22 equal: Goal Reached
| 4 |
[
55,
93,
54,
57
] | 86 | [
"57-54=3",
"93/3=31",
"55+31=86"
] | Current State: 86:[55, 93, 54, 57], Operations: []
Exploring Operation: 57-54=3, Resulting Numbers: [55, 93, 3]
Generated Node #2: [55, 93, 3] from Operation: 57-54=3
Current State: 86:[55, 93, 3], Operations: ['57-54=3']
Exploring Operation: 93/3=31, Resulting Numbers: [55, 31]
Generated Node #3: [55, 31] from Operation: 93/3=31
Current State: 86:[55, 31], Operations: ['57-54=3', '93/3=31']
Exploring Operation: 55+31=86, Resulting Numbers: [86]
86,86 equal: Goal Reached
| 4 |
[
39,
20,
9,
30
] | 51 | [
"30-20=10",
"9*10=90",
"90-39=51"
] | Current State: 51:[39, 20, 9, 30], Operations: []
Exploring Operation: 30-20=10, Resulting Numbers: [39, 9, 10]
Generated Node #2: [39, 9, 10] from Operation: 30-20=10
Current State: 51:[39, 9, 10], Operations: ['30-20=10']
Exploring Operation: 9*10=90, Resulting Numbers: [39, 90]
Generated Node #3: [39, 90] from Operation: 9*10=90
Current State: 51:[39, 90], Operations: ['30-20=10', '9*10=90']
Exploring Operation: 90-39=51, Resulting Numbers: [51]
51,51 equal: Goal Reached
| 4 |
[
64,
17,
17,
9
] | 25 | [
"17*17=289",
"289-64=225",
"225/9=25"
] | Current State: 25:[64, 17, 17, 9], Operations: []
Exploring Operation: 17*17=289, Resulting Numbers: [64, 9, 289]
Generated Node #2: [64, 9, 289] from Operation: 17*17=289
Current State: 25:[64, 9, 289], Operations: ['17*17=289']
Exploring Operation: 289-64=225, Resulting Numbers: [9, 225]
Generated Node #3: [9, 225] from Operation: 289-64=225
Current State: 25:[9, 225], Operations: ['17*17=289', '289-64=225']
Exploring Operation: 225/9=25, Resulting Numbers: [25]
25,25 equal: Goal Reached
| 4 |
[
79,
3,
24,
81
] | 19 | [
"79-3=76",
"81-24=57",
"76-57=19"
] | Current State: 19:[79, 3, 24, 81], Operations: []
Exploring Operation: 79-3=76, Resulting Numbers: [24, 81, 76]
Generated Node #2: [24, 81, 76] from Operation: 79-3=76
Current State: 19:[24, 81, 76], Operations: ['79-3=76']
Exploring Operation: 81-24=57, Resulting Numbers: [76, 57]
Generated Node #3: [76, 57] from Operation: 81-24=57
Current State: 19:[76, 57], Operations: ['79-3=76', '81-24=57']
Exploring Operation: 76-57=19, Resulting Numbers: [19]
19,19 equal: Goal Reached
| 4 |
[
22,
56,
87,
21
] | 53 | [
"87-21=66",
"66/22=3",
"56-3=53"
] | Current State: 53:[22, 56, 87, 21], Operations: []
Exploring Operation: 87-21=66, Resulting Numbers: [22, 56, 66]
Generated Node #2: [22, 56, 66] from Operation: 87-21=66
Current State: 53:[22, 56, 66], Operations: ['87-21=66']
Exploring Operation: 66/22=3, Resulting Numbers: [56, 3]
Generated Node #3: [56, 3] from Operation: 66/22=3
Current State: 53:[56, 3], Operations: ['87-21=66', '66/22=3']
Exploring Operation: 56-3=53, Resulting Numbers: [53]
53,53 equal: Goal Reached
| 4 |
[
37,
72,
72,
28
] | 16 | [
"37-28=9",
"72+72=144",
"144/9=16"
] | Current State: 16:[37, 72, 72, 28], Operations: []
Exploring Operation: 37-28=9, Resulting Numbers: [72, 72, 9]
Generated Node #2: [72, 72, 9] from Operation: 37-28=9
Current State: 16:[72, 72, 9], Operations: ['37-28=9']
Exploring Operation: 72+72=144, Resulting Numbers: [9, 144]
Generated Node #3: [9, 144] from Operation: 72+72=144
Current State: 16:[9, 144], Operations: ['37-28=9', '72+72=144']
Exploring Operation: 144/9=16, Resulting Numbers: [16]
16,16 equal: Goal Reached
| 4 |
[
25,
20,
23,
12
] | 14 | [
"25-23=2",
"12/2=6",
"20-6=14"
] | Current State: 14:[25, 20, 23, 12], Operations: []
Exploring Operation: 25-23=2, Resulting Numbers: [20, 12, 2]
Generated Node #2: [20, 12, 2] from Operation: 25-23=2
Current State: 14:[20, 12, 2], Operations: ['25-23=2']
Exploring Operation: 12/2=6, Resulting Numbers: [20, 6]
Generated Node #3: [20, 6] from Operation: 12/2=6
Current State: 14:[20, 6], Operations: ['25-23=2', '12/2=6']
Exploring Operation: 20-6=14, Resulting Numbers: [14]
14,14 equal: Goal Reached
| 4 |
[
25,
60,
67,
5
] | 69 | [
"25+5=30",
"60/30=2",
"67+2=69"
] | Current State: 69:[25, 60, 67, 5], Operations: []
Exploring Operation: 25+5=30, Resulting Numbers: [60, 67, 30]
Generated Node #2: [60, 67, 30] from Operation: 25+5=30
Current State: 69:[60, 67, 30], Operations: ['25+5=30']
Exploring Operation: 60/30=2, Resulting Numbers: [67, 2]
Generated Node #3: [67, 2] from Operation: 60/30=2
Current State: 69:[67, 2], Operations: ['25+5=30', '60/30=2']
Exploring Operation: 67+2=69, Resulting Numbers: [69]
69,69 equal: Goal Reached
| 4 |
[
66,
49,
99,
31
] | 47 | [
"66+49=115",
"99-31=68",
"115-68=47"
] | Current State: 47:[66, 49, 99, 31], Operations: []
Exploring Operation: 66+49=115, Resulting Numbers: [99, 31, 115]
Generated Node #2: [99, 31, 115] from Operation: 66+49=115
Current State: 47:[99, 31, 115], Operations: ['66+49=115']
Exploring Operation: 99-31=68, Resulting Numbers: [115, 68]
Generated Node #3: [115, 68] from Operation: 99-31=68
Current State: 47:[115, 68], Operations: ['66+49=115', '99-31=68']
Exploring Operation: 115-68=47, Resulting Numbers: [47]
47,47 equal: Goal Reached
| 4 |
[
25,
29,
98,
62
] | 95 | [
"25+62=87",
"87/29=3",
"98-3=95"
] | Current State: 95:[25, 29, 98, 62], Operations: []
Exploring Operation: 25+62=87, Resulting Numbers: [29, 98, 87]
Generated Node #2: [29, 98, 87] from Operation: 25+62=87
Current State: 95:[29, 98, 87], Operations: ['25+62=87']
Exploring Operation: 87/29=3, Resulting Numbers: [98, 3]
Generated Node #3: [98, 3] from Operation: 87/29=3
Current State: 95:[98, 3], Operations: ['25+62=87', '87/29=3']
Exploring Operation: 98-3=95, Resulting Numbers: [95]
95,95 equal: Goal Reached
| 4 |
[
99,
86,
92,
55
] | 24 | [
"99-86=13",
"92-55=37",
"37-13=24"
] | Current State: 24:[99, 86, 92, 55], Operations: []
Exploring Operation: 99-86=13, Resulting Numbers: [92, 55, 13]
Generated Node #2: [92, 55, 13] from Operation: 99-86=13
Current State: 24:[92, 55, 13], Operations: ['99-86=13']
Exploring Operation: 92-55=37, Resulting Numbers: [13, 37]
Generated Node #3: [13, 37] from Operation: 92-55=37
Current State: 24:[13, 37], Operations: ['99-86=13', '92-55=37']
Exploring Operation: 37-13=24, Resulting Numbers: [24]
24,24 equal: Goal Reached
| 4 |
[
66,
77,
85,
16
] | 17 | [
"77-66=11",
"16-11=5",
"85/5=17"
] | Current State: 17:[66, 77, 85, 16], Operations: []
Exploring Operation: 77-66=11, Resulting Numbers: [85, 16, 11]
Generated Node #2: [85, 16, 11] from Operation: 77-66=11
Current State: 17:[85, 16, 11], Operations: ['77-66=11']
Exploring Operation: 16-11=5, Resulting Numbers: [85, 5]
Generated Node #3: [85, 5] from Operation: 16-11=5
Current State: 17:[85, 5], Operations: ['77-66=11', '16-11=5']
Exploring Operation: 85/5=17, Resulting Numbers: [17]
17,17 equal: Goal Reached
| 4 |
[
9,
58,
49,
6
] | 27 | [
"9-6=3",
"58-49=9",
"3*9=27"
] | Current State: 27:[9, 58, 49, 6], Operations: []
Exploring Operation: 9-6=3, Resulting Numbers: [58, 49, 3]
Generated Node #2: [58, 49, 3] from Operation: 9-6=3
Current State: 27:[58, 49, 3], Operations: ['9-6=3']
Exploring Operation: 58-49=9, Resulting Numbers: [3, 9]
Generated Node #3: [3, 9] from Operation: 58-49=9
Current State: 27:[3, 9], Operations: ['9-6=3', '58-49=9']
Exploring Operation: 3*9=27, Resulting Numbers: [27]
27,27 equal: Goal Reached
| 4 |
[
93,
27,
2,
83
] | 38 | [
"27+83=110",
"110/2=55",
"93-55=38"
] | Current State: 38:[93, 27, 2, 83], Operations: []
Exploring Operation: 27+83=110, Resulting Numbers: [93, 2, 110]
Generated Node #2: [93, 2, 110] from Operation: 27+83=110
Current State: 38:[93, 2, 110], Operations: ['27+83=110']
Exploring Operation: 110/2=55, Resulting Numbers: [93, 55]
Generated Node #3: [93, 55] from Operation: 110/2=55
Current State: 38:[93, 55], Operations: ['27+83=110', '110/2=55']
Exploring Operation: 93-55=38, Resulting Numbers: [38]
38,38 equal: Goal Reached
| 4 |
[
84,
45,
59,
50
] | 56 | [
"59-45=14",
"84/14=6",
"50+6=56"
] | Current State: 56:[84, 45, 59, 50], Operations: []
Exploring Operation: 59-45=14, Resulting Numbers: [84, 50, 14]
Generated Node #2: [84, 50, 14] from Operation: 59-45=14
Current State: 56:[84, 50, 14], Operations: ['59-45=14']
Exploring Operation: 84/14=6, Resulting Numbers: [50, 6]
Generated Node #3: [50, 6] from Operation: 84/14=6
Current State: 56:[50, 6], Operations: ['59-45=14', '84/14=6']
Exploring Operation: 50+6=56, Resulting Numbers: [56]
56,56 equal: Goal Reached
| 4 |
[
19,
57,
44,
3
] | 38 | [
"57/19=3",
"44-3=41",
"41-3=38"
] | Current State: 38:[19, 57, 44, 3], Operations: []
Exploring Operation: 57/19=3, Resulting Numbers: [44, 3, 3]
Generated Node #2: [44, 3, 3] from Operation: 57/19=3
Current State: 38:[44, 3, 3], Operations: ['57/19=3']
Exploring Operation: 44-3=41, Resulting Numbers: [41]
41,38 equal: Goal Reached
Exploring Operation: 41-3=38, Resulting Numbers: [38]
38,38 equal: Goal Reached
| 4 |
[
36,
97,
12,
52
] | 15 | [
"36/12=3",
"97-52=45",
"45/3=15"
] | Current State: 15:[36, 97, 12, 52], Operations: []
Exploring Operation: 36/12=3, Resulting Numbers: [97, 52, 3]
Generated Node #2: [97, 52, 3] from Operation: 36/12=3
Current State: 15:[97, 52, 3], Operations: ['36/12=3']
Exploring Operation: 97-52=45, Resulting Numbers: [3, 45]
Generated Node #3: [3, 45] from Operation: 97-52=45
Current State: 15:[3, 45], Operations: ['36/12=3', '97-52=45']
Exploring Operation: 45/3=15, Resulting Numbers: [15]
15,15 equal: Goal Reached
| 4 |
[
91,
12,
31,
95
] | 79 | [
"95-91=4",
"12*4=48",
"31+48=79"
] | Current State: 79:[91, 12, 31, 95], Operations: []
Exploring Operation: 95-91=4, Resulting Numbers: [12, 31, 4]
Generated Node #2: [12, 31, 4] from Operation: 95-91=4
Current State: 79:[12, 31, 4], Operations: ['95-91=4']
Exploring Operation: 12*4=48, Resulting Numbers: [31, 48]
Generated Node #3: [31, 48] from Operation: 12*4=48
Current State: 79:[31, 48], Operations: ['95-91=4', '12*4=48']
Exploring Operation: 31+48=79, Resulting Numbers: [79]
79,79 equal: Goal Reached
| 4 |
[
44,
13,
29,
83
] | 32 | [
"83-44=39",
"39/13=3",
"29+3=32"
] | Current State: 32:[44, 13, 29, 83], Operations: []
Exploring Operation: 83-44=39, Resulting Numbers: [13, 29, 39]
Generated Node #2: [13, 29, 39] from Operation: 83-44=39
Current State: 32:[13, 29, 39], Operations: ['83-44=39']
Exploring Operation: 39/13=3, Resulting Numbers: [29, 3]
Generated Node #3: [29, 3] from Operation: 39/13=3
Current State: 32:[29, 3], Operations: ['83-44=39', '39/13=3']
Exploring Operation: 29+3=32, Resulting Numbers: [32]
32,32 equal: Goal Reached
| 4 |
[
32,
88,
9,
17
] | 43 | [
"17-9=8",
"88/8=11",
"32+11=43"
] | Current State: 43:[32, 88, 9, 17], Operations: []
Exploring Operation: 17-9=8, Resulting Numbers: [32, 88, 8]
Generated Node #2: [32, 88, 8] from Operation: 17-9=8
Current State: 43:[32, 88, 8], Operations: ['17-9=8']
Exploring Operation: 88/8=11, Resulting Numbers: [32, 11]
Generated Node #3: [32, 11] from Operation: 88/8=11
Current State: 43:[32, 11], Operations: ['17-9=8', '88/8=11']
Exploring Operation: 32+11=43, Resulting Numbers: [43]
43,43 equal: Goal Reached
| 4 |
[
3,
13,
23,
56
] | 60 | [
"13+23=36",
"56-36=20",
"3*20=60"
] | Current State: 60:[3, 13, 23, 56], Operations: []
Exploring Operation: 13+23=36, Resulting Numbers: [3, 56, 36]
Generated Node #2: [3, 56, 36] from Operation: 13+23=36
Current State: 60:[3, 56, 36], Operations: ['13+23=36']
Exploring Operation: 56-36=20, Resulting Numbers: [3, 20]
Generated Node #3: [3, 20] from Operation: 56-36=20
Current State: 60:[3, 20], Operations: ['13+23=36', '56-36=20']
Exploring Operation: 3*20=60, Resulting Numbers: [60]
60,60 equal: Goal Reached
| 4 |
[
60,
47,
37,
98
] | 70 | [
"60*98=5880",
"47+37=84",
"5880/84=70"
] | Current State: 70:[60, 47, 37, 98], Operations: []
Exploring Operation: 60*98=5880, Resulting Numbers: [47, 37, 5880]
Generated Node #2: [47, 37, 5880] from Operation: 60*98=5880
Current State: 70:[47, 37, 5880], Operations: ['60*98=5880']
Exploring Operation: 47+37=84, Resulting Numbers: [5880, 84]
Generated Node #3: [5880, 84] from Operation: 47+37=84
Current State: 70:[5880, 84], Operations: ['60*98=5880', '47+37=84']
Exploring Operation: 5880/84=70, Resulting Numbers: [70]
70,70 equal: Goal Reached
| 4 |
[
76,
37,
11,
42
] | 13 | [
"76-11=65",
"42-37=5",
"65/5=13"
] | Current State: 13:[76, 37, 11, 42], Operations: []
Exploring Operation: 76-11=65, Resulting Numbers: [37, 42, 65]
Generated Node #2: [37, 42, 65] from Operation: 76-11=65
Current State: 13:[37, 42, 65], Operations: ['76-11=65']
Exploring Operation: 42-37=5, Resulting Numbers: [65, 5]
Generated Node #3: [65, 5] from Operation: 42-37=5
Current State: 13:[65, 5], Operations: ['76-11=65', '42-37=5']
Exploring Operation: 65/5=13, Resulting Numbers: [13]
13,13 equal: Goal Reached
| 4 |
[
76,
16,
36,
11
] | 35 | [
"76-16=60",
"36-11=25",
"60-25=35"
] | Current State: 35:[76, 16, 36, 11], Operations: []
Exploring Operation: 76-16=60, Resulting Numbers: [36, 11, 60]
Generated Node #2: [36, 11, 60] from Operation: 76-16=60
Current State: 35:[36, 11, 60], Operations: ['76-16=60']
Exploring Operation: 36-11=25, Resulting Numbers: [60, 25]
Generated Node #3: [60, 25] from Operation: 36-11=25
Current State: 35:[60, 25], Operations: ['76-16=60', '36-11=25']
Exploring Operation: 60-25=35, Resulting Numbers: [35]
35,35 equal: Goal Reached
| 4 |
[
56,
8,
76,
19
] | 16 | [
"56+8=64",
"76/19=4",
"64/4=16"
] | Current State: 16:[56, 8, 76, 19], Operations: []
Exploring Operation: 56+8=64, Resulting Numbers: [76, 19, 64]
Generated Node #2: [76, 19, 64] from Operation: 56+8=64
Current State: 16:[76, 19, 64], Operations: ['56+8=64']
Exploring Operation: 76/19=4, Resulting Numbers: [64, 4]
Generated Node #3: [64, 4] from Operation: 76/19=4
Current State: 16:[64, 4], Operations: ['56+8=64', '76/19=4']
Exploring Operation: 64/4=16, Resulting Numbers: [16]
16,16 equal: Goal Reached
| 4 |
[
55,
59,
77,
44
] | 56 | [
"55+77=132",
"132/44=3",
"59-3=56"
] | Current State: 56:[55, 59, 77, 44], Operations: []
Exploring Operation: 55+77=132, Resulting Numbers: [59, 44, 132]
Generated Node #2: [59, 44, 132] from Operation: 55+77=132
Current State: 56:[59, 44, 132], Operations: ['55+77=132']
Exploring Operation: 132/44=3, Resulting Numbers: [59, 3]
Generated Node #3: [59, 3] from Operation: 132/44=3
Current State: 56:[59, 3], Operations: ['55+77=132', '132/44=3']
Exploring Operation: 59-3=56, Resulting Numbers: [56]
56,56 equal: Goal Reached
| 4 |
[
1,
61,
91,
19
] | 48 | [
"1+61=62",
"91+19=110",
"110-62=48"
] | Current State: 48:[1, 61, 91, 19], Operations: []
Exploring Operation: 1+61=62, Resulting Numbers: [91, 19, 62]
Generated Node #2: [91, 19, 62] from Operation: 1+61=62
Current State: 48:[91, 19, 62], Operations: ['1+61=62']
Exploring Operation: 91+19=110, Resulting Numbers: [62, 110]
Generated Node #3: [62, 110] from Operation: 91+19=110
Current State: 48:[62, 110], Operations: ['1+61=62', '91+19=110']
Exploring Operation: 110-62=48, Resulting Numbers: [48]
48,48 equal: Goal Reached
| 4 |
[
12,
62,
78,
65
] | 22 | [
"78-12=66",
"65-62=3",
"66/3=22"
] | Current State: 22:[12, 62, 78, 65], Operations: []
Exploring Operation: 78-12=66, Resulting Numbers: [62, 65, 66]
Generated Node #2: [62, 65, 66] from Operation: 78-12=66
Current State: 22:[62, 65, 66], Operations: ['78-12=66']
Exploring Operation: 65-62=3, Resulting Numbers: [66, 3]
Generated Node #3: [66, 3] from Operation: 65-62=3
Current State: 22:[66, 3], Operations: ['78-12=66', '65-62=3']
Exploring Operation: 66/3=22, Resulting Numbers: [22]
22,22 equal: Goal Reached
| 4 |
[
9,
59,
30,
12
] | 99 | [
"30*12=360",
"360/9=40",
"59+40=99"
] | Current State: 99:[9, 59, 30, 12], Operations: []
Exploring Operation: 30*12=360, Resulting Numbers: [9, 59, 360]
Generated Node #2: [9, 59, 360] from Operation: 30*12=360
Current State: 99:[9, 59, 360], Operations: ['30*12=360']
Exploring Operation: 360/9=40, Resulting Numbers: [59, 40]
Generated Node #3: [59, 40] from Operation: 360/9=40
Current State: 99:[59, 40], Operations: ['30*12=360', '360/9=40']
Exploring Operation: 59+40=99, Resulting Numbers: [99]
99,99 equal: Goal Reached
| 4 |
[
84,
81,
62,
84
] | 90 | [
"84-81=3",
"84/3=28",
"62+28=90"
] | Current State: 90:[84, 81, 62, 84], Operations: []
Exploring Operation: 84-81=3, Resulting Numbers: [62, 3]
Generated Node #2: [62, 3] from Operation: 84-81=3
Current State: 90:[62, 3], Operations: ['84-81=3']
Exploring Operation: 84/3=28, Resulting Numbers: [62, 28]
Generated Node #3: [62, 28] from Operation: 84/3=28
Current State: 90:[62, 28], Operations: ['84-81=3', '84/3=28']
Exploring Operation: 62+28=90, Resulting Numbers: [90]
90,90 equal: Goal Reached
| 4 |
[
23,
22,
76,
12
] | 89 | [
"23-22=1",
"76+12=88",
"1+88=89"
] | Current State: 89:[23, 22, 76, 12], Operations: []
Exploring Operation: 23-22=1, Resulting Numbers: [76, 12, 1]
Generated Node #2: [76, 12, 1] from Operation: 23-22=1
Current State: 89:[76, 12, 1], Operations: ['23-22=1']
Exploring Operation: 76+12=88, Resulting Numbers: [1, 88]
Generated Node #3: [1, 88] from Operation: 76+12=88
Current State: 89:[1, 88], Operations: ['23-22=1', '76+12=88']
Exploring Operation: 1+88=89, Resulting Numbers: [89]
89,89 equal: Goal Reached
| 4 |
[
98,
62,
43,
52
] | 65 | [
"98+62=160",
"43+52=95",
"160-95=65"
] | Current State: 65:[98, 62, 43, 52], Operations: []
Exploring Operation: 98+62=160, Resulting Numbers: [43, 52, 160]
Generated Node #2: [43, 52, 160] from Operation: 98+62=160
Current State: 65:[43, 52, 160], Operations: ['98+62=160']
Exploring Operation: 43+52=95, Resulting Numbers: [160, 95]
Generated Node #3: [160, 95] from Operation: 43+52=95
Current State: 65:[160, 95], Operations: ['98+62=160', '43+52=95']
Exploring Operation: 160-95=65, Resulting Numbers: [65]
65,65 equal: Goal Reached
| 4 |
[
34,
75,
6,
3
] | 61 | [
"75+6=81",
"81/3=27",
"34+27=61"
] | Current State: 61:[34, 75, 6, 3], Operations: []
Exploring Operation: 75+6=81, Resulting Numbers: [34, 3, 81]
Generated Node #2: [34, 3, 81] from Operation: 75+6=81
Current State: 61:[34, 3, 81], Operations: ['75+6=81']
Exploring Operation: 81/3=27, Resulting Numbers: [34, 27]
Generated Node #3: [34, 27] from Operation: 81/3=27
Current State: 61:[34, 27], Operations: ['75+6=81', '81/3=27']
Exploring Operation: 34+27=61, Resulting Numbers: [61]
61,61 equal: Goal Reached
| 4 |
[
67,
58,
51,
19
] | 55 | [
"67+58=125",
"51+19=70",
"125-70=55"
] | Current State: 55:[67, 58, 51, 19], Operations: []
Exploring Operation: 67+58=125, Resulting Numbers: [51, 19, 125]
Generated Node #2: [51, 19, 125] from Operation: 67+58=125
Current State: 55:[51, 19, 125], Operations: ['67+58=125']
Exploring Operation: 51+19=70, Resulting Numbers: [125, 70]
Generated Node #3: [125, 70] from Operation: 51+19=70
Current State: 55:[125, 70], Operations: ['67+58=125', '51+19=70']
Exploring Operation: 125-70=55, Resulting Numbers: [55]
55,55 equal: Goal Reached
| 4 |
[
3,
56,
93,
74
] | 34 | [
"56-3=53",
"93-74=19",
"53-19=34"
] | Current State: 34:[3, 56, 93, 74], Operations: []
Exploring Operation: 56-3=53, Resulting Numbers: [93, 74, 53]
Generated Node #2: [93, 74, 53] from Operation: 56-3=53
Current State: 34:[93, 74, 53], Operations: ['56-3=53']
Exploring Operation: 93-74=19, Resulting Numbers: [53, 19]
Generated Node #3: [53, 19] from Operation: 93-74=19
Current State: 34:[53, 19], Operations: ['56-3=53', '93-74=19']
Exploring Operation: 53-19=34, Resulting Numbers: [34]
34,34 equal: Goal Reached
| 4 |
[
21,
68,
42,
80
] | 51 | [
"21+68=89",
"80-42=38",
"89-38=51"
] | Current State: 51:[21, 68, 42, 80], Operations: []
Exploring Operation: 21+68=89, Resulting Numbers: [42, 80, 89]
Generated Node #2: [42, 80, 89] from Operation: 21+68=89
Current State: 51:[42, 80, 89], Operations: ['21+68=89']
Exploring Operation: 80-42=38, Resulting Numbers: [89, 38]
Generated Node #3: [89, 38] from Operation: 80-42=38
Current State: 51:[89, 38], Operations: ['21+68=89', '80-42=38']
Exploring Operation: 89-38=51, Resulting Numbers: [51]
51,51 equal: Goal Reached
| 4 |
[
86,
91,
1,
40
] | 45 | [
"91-86=5",
"1*40=40",
"5+40=45"
] | Current State: 45:[86, 91, 1, 40], Operations: []
Exploring Operation: 91-86=5, Resulting Numbers: [1, 40, 5]
Generated Node #2: [1, 40, 5] from Operation: 91-86=5
Current State: 45:[1, 40, 5], Operations: ['91-86=5']
Exploring Operation: 1*40=40, Resulting Numbers: [5, 40]
Generated Node #3: [5, 40] from Operation: 1*40=40
Current State: 45:[5, 40], Operations: ['91-86=5', '1*40=40']
Exploring Operation: 5+40=45, Resulting Numbers: [45]
45,45 equal: Goal Reached
| 4 |
[
67,
69,
33,
41
] | 37 | [
"69-67=2",
"33+41=74",
"74/2=37"
] | Current State: 37:[67, 69, 33, 41], Operations: []
Exploring Operation: 69-67=2, Resulting Numbers: [33, 41, 2]
Generated Node #2: [33, 41, 2] from Operation: 69-67=2
Current State: 37:[33, 41, 2], Operations: ['69-67=2']
Exploring Operation: 33+41=74, Resulting Numbers: [2, 74]
Generated Node #3: [2, 74] from Operation: 33+41=74
Current State: 37:[2, 74], Operations: ['69-67=2', '33+41=74']
Exploring Operation: 74/2=37, Resulting Numbers: [37]
37,37 equal: Goal Reached
| 4 |
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