nums listlengths 4 4 | target int64 10 100 | solution listlengths 3 3 | optimal_path stringlengths 282 529 | start_size int64 4 4 |
|---|---|---|---|---|
[
59,
91,
91,
29
] | 29 | [
"59-29=30",
"91/91=1",
"30-1=29"
] | Current State: 29:[59, 91, 91, 29], Operations: []
Exploring Operation: 59-29=30, Resulting Numbers: [91, 91, 30]
Generated Node #2: [91, 91, 30] from Operation: 59-29=30
Current State: 29:[91, 91, 30], Operations: ['59-29=30']
Exploring Operation: 91/91=1, Resulting Numbers: [30, 1]
Generated Node #3: [30, 1] from Operation: 91/91=1
Current State: 29:[30, 1], Operations: ['59-29=30', '91/91=1']
Exploring Operation: 30-1=29, Resulting Numbers: [29]
29,29 equal: Goal Reached
| 4 |
[
10,
62,
36,
31
] | 64 | [
"36-31=5",
"10/5=2",
"62+2=64"
] | Current State: 64:[10, 62, 36, 31], Operations: []
Exploring Operation: 36-31=5, Resulting Numbers: [10, 62, 5]
Generated Node #2: [10, 62, 5] from Operation: 36-31=5
Current State: 64:[10, 62, 5], Operations: ['36-31=5']
Exploring Operation: 10/5=2, Resulting Numbers: [62, 2]
Generated Node #3: [62, 2] from Operation: 10/5=2
Current State: 64:[62, 2], Operations: ['36-31=5', '10/5=2']
Exploring Operation: 62+2=64, Resulting Numbers: [64]
64,64 equal: Goal Reached
| 4 |
[
94,
81,
85,
64
] | 66 | [
"85*64=5440",
"5440-94=5346",
"5346/81=66"
] | Current State: 66:[94, 81, 85, 64], Operations: []
Exploring Operation: 85*64=5440, Resulting Numbers: [94, 81, 5440]
Generated Node #2: [94, 81, 5440] from Operation: 85*64=5440
Current State: 66:[94, 81, 5440], Operations: ['85*64=5440']
Exploring Operation: 5440-94=5346, Resulting Numbers: [81, 5346]
Generated Node #3: [81, 5346] from Operation: 5440-94=5346
Current State: 66:[81, 5346], Operations: ['85*64=5440', '5440-94=5346']
Exploring Operation: 5346/81=66, Resulting Numbers: [66]
66,66 equal: Goal Reached
| 4 |
[
18,
4,
68,
21
] | 22 | [
"18+21=39",
"68/4=17",
"39-17=22"
] | Current State: 22:[18, 4, 68, 21], Operations: []
Exploring Operation: 18+21=39, Resulting Numbers: [4, 68, 39]
Generated Node #2: [4, 68, 39] from Operation: 18+21=39
Current State: 22:[4, 68, 39], Operations: ['18+21=39']
Exploring Operation: 68/4=17, Resulting Numbers: [39, 17]
Generated Node #3: [39, 17] from Operation: 68/4=17
Current State: 22:[39, 17], Operations: ['18+21=39', '68/4=17']
Exploring Operation: 39-17=22, Resulting Numbers: [22]
22,22 equal: Goal Reached
| 4 |
[
53,
32,
17,
68
] | 61 | [
"32*17=544",
"544/68=8",
"53+8=61"
] | Current State: 61:[53, 32, 17, 68], Operations: []
Exploring Operation: 32*17=544, Resulting Numbers: [53, 68, 544]
Generated Node #2: [53, 68, 544] from Operation: 32*17=544
Current State: 61:[53, 68, 544], Operations: ['32*17=544']
Exploring Operation: 544/68=8, Resulting Numbers: [53, 8]
Generated Node #3: [53, 8] from Operation: 544/68=8
Current State: 61:[53, 8], Operations: ['32*17=544', '544/68=8']
Exploring Operation: 53+8=61, Resulting Numbers: [61]
61,61 equal: Goal Reached
| 4 |
[
32,
3,
40,
35
] | 91 | [
"32*3=96",
"40-35=5",
"96-5=91"
] | Current State: 91:[32, 3, 40, 35], Operations: []
Exploring Operation: 32*3=96, Resulting Numbers: [40, 35, 96]
Generated Node #2: [40, 35, 96] from Operation: 32*3=96
Current State: 91:[40, 35, 96], Operations: ['32*3=96']
Exploring Operation: 40-35=5, Resulting Numbers: [96, 5]
Generated Node #3: [96, 5] from Operation: 40-35=5
Current State: 91:[96, 5], Operations: ['32*3=96', '40-35=5']
Exploring Operation: 96-5=91, Resulting Numbers: [91]
91,91 equal: Goal Reached
| 4 |
[
42,
38,
66,
6
] | 34 | [
"66-42=24",
"24/6=4",
"38-4=34"
] | Current State: 34:[42, 38, 66, 6], Operations: []
Exploring Operation: 66-42=24, Resulting Numbers: [38, 6, 24]
Generated Node #2: [38, 6, 24] from Operation: 66-42=24
Current State: 34:[38, 6, 24], Operations: ['66-42=24']
Exploring Operation: 24/6=4, Resulting Numbers: [38, 4]
Generated Node #3: [38, 4] from Operation: 24/6=4
Current State: 34:[38, 4], Operations: ['66-42=24', '24/6=4']
Exploring Operation: 38-4=34, Resulting Numbers: [34]
34,34 equal: Goal Reached
| 4 |
[
82,
55,
63,
20
] | 56 | [
"82-55=27",
"63+20=83",
"83-27=56"
] | Current State: 56:[82, 55, 63, 20], Operations: []
Exploring Operation: 82-55=27, Resulting Numbers: [63, 20, 27]
Generated Node #2: [63, 20, 27] from Operation: 82-55=27
Current State: 56:[63, 20, 27], Operations: ['82-55=27']
Exploring Operation: 63+20=83, Resulting Numbers: [27, 83]
Generated Node #3: [27, 83] from Operation: 63+20=83
Current State: 56:[27, 83], Operations: ['82-55=27', '63+20=83']
Exploring Operation: 83-27=56, Resulting Numbers: [56]
56,56 equal: Goal Reached
| 4 |
[
91,
8,
36,
88
] | 89 | [
"8+36=44",
"88/44=2",
"91-2=89"
] | Current State: 89:[91, 8, 36, 88], Operations: []
Exploring Operation: 8+36=44, Resulting Numbers: [91, 88, 44]
Generated Node #2: [91, 88, 44] from Operation: 8+36=44
Current State: 89:[91, 88, 44], Operations: ['8+36=44']
Exploring Operation: 88/44=2, Resulting Numbers: [91, 2]
Generated Node #3: [91, 2] from Operation: 88/44=2
Current State: 89:[91, 2], Operations: ['8+36=44', '88/44=2']
Exploring Operation: 91-2=89, Resulting Numbers: [89]
89,89 equal: Goal Reached
| 4 |
[
33,
6,
44,
52
] | 14 | [
"44-33=11",
"6*11=66",
"66-52=14"
] | Current State: 14:[33, 6, 44, 52], Operations: []
Exploring Operation: 44-33=11, Resulting Numbers: [6, 52, 11]
Generated Node #2: [6, 52, 11] from Operation: 44-33=11
Current State: 14:[6, 52, 11], Operations: ['44-33=11']
Exploring Operation: 6*11=66, Resulting Numbers: [52, 66]
Generated Node #3: [52, 66] from Operation: 6*11=66
Current State: 14:[52, 66], Operations: ['44-33=11', '6*11=66']
Exploring Operation: 66-52=14, Resulting Numbers: [14]
14,14 equal: Goal Reached
| 4 |
[
5,
2,
60,
93
] | 37 | [
"5+60=65",
"2*65=130",
"130-93=37"
] | Current State: 37:[5, 2, 60, 93], Operations: []
Exploring Operation: 5+60=65, Resulting Numbers: [2, 93, 65]
Generated Node #2: [2, 93, 65] from Operation: 5+60=65
Current State: 37:[2, 93, 65], Operations: ['5+60=65']
Exploring Operation: 2*65=130, Resulting Numbers: [93, 130]
Generated Node #3: [93, 130] from Operation: 2*65=130
Current State: 37:[93, 130], Operations: ['5+60=65', '2*65=130']
Exploring Operation: 130-93=37, Resulting Numbers: [37]
37,37 equal: Goal Reached
| 4 |
[
95,
15,
18,
54
] | 67 | [
"18-15=3",
"54*3=162",
"162-95=67"
] | Current State: 67:[95, 15, 18, 54], Operations: []
Exploring Operation: 18-15=3, Resulting Numbers: [95, 54, 3]
Generated Node #2: [95, 54, 3] from Operation: 18-15=3
Current State: 67:[95, 54, 3], Operations: ['18-15=3']
Exploring Operation: 54*3=162, Resulting Numbers: [95, 162]
Generated Node #3: [95, 162] from Operation: 54*3=162
Current State: 67:[95, 162], Operations: ['18-15=3', '54*3=162']
Exploring Operation: 162-95=67, Resulting Numbers: [67]
67,67 equal: Goal Reached
| 4 |
[
9,
71,
20,
45
] | 41 | [
"9+71=80",
"80/20=4",
"45-4=41"
] | Current State: 41:[9, 71, 20, 45], Operations: []
Exploring Operation: 9+71=80, Resulting Numbers: [20, 45, 80]
Generated Node #2: [20, 45, 80] from Operation: 9+71=80
Current State: 41:[20, 45, 80], Operations: ['9+71=80']
Exploring Operation: 80/20=4, Resulting Numbers: [45, 4]
Generated Node #3: [45, 4] from Operation: 80/20=4
Current State: 41:[45, 4], Operations: ['9+71=80', '80/20=4']
Exploring Operation: 45-4=41, Resulting Numbers: [41]
41,41 equal: Goal Reached
| 4 |
[
44,
58,
29,
20
] | 12 | [
"44-20=24",
"58/29=2",
"24/2=12"
] | Current State: 12:[44, 58, 29, 20], Operations: []
Exploring Operation: 44-20=24, Resulting Numbers: [58, 29, 24]
Generated Node #2: [58, 29, 24] from Operation: 44-20=24
Current State: 12:[58, 29, 24], Operations: ['44-20=24']
Exploring Operation: 58/29=2, Resulting Numbers: [24, 2]
Generated Node #3: [24, 2] from Operation: 58/29=2
Current State: 12:[24, 2], Operations: ['44-20=24', '58/29=2']
Exploring Operation: 24/2=12, Resulting Numbers: [12]
12,12 equal: Goal Reached
| 4 |
[
23,
80,
70,
53
] | 40 | [
"80-23=57",
"70-53=17",
"57-17=40"
] | Current State: 40:[23, 80, 70, 53], Operations: []
Exploring Operation: 80-23=57, Resulting Numbers: [70, 53, 57]
Generated Node #2: [70, 53, 57] from Operation: 80-23=57
Current State: 40:[70, 53, 57], Operations: ['80-23=57']
Exploring Operation: 70-53=17, Resulting Numbers: [57, 17]
Generated Node #3: [57, 17] from Operation: 70-53=17
Current State: 40:[57, 17], Operations: ['80-23=57', '70-53=17']
Exploring Operation: 57-17=40, Resulting Numbers: [40]
40,40 equal: Goal Reached
| 4 |
[
88,
92,
68,
23
] | 95 | [
"92-88=4",
"68+23=91",
"4+91=95"
] | Current State: 95:[88, 92, 68, 23], Operations: []
Exploring Operation: 92-88=4, Resulting Numbers: [68, 23, 4]
Generated Node #2: [68, 23, 4] from Operation: 92-88=4
Current State: 95:[68, 23, 4], Operations: ['92-88=4']
Exploring Operation: 68+23=91, Resulting Numbers: [4, 91]
Generated Node #3: [4, 91] from Operation: 68+23=91
Current State: 95:[4, 91], Operations: ['92-88=4', '68+23=91']
Exploring Operation: 4+91=95, Resulting Numbers: [95]
95,95 equal: Goal Reached
| 4 |
[
72,
31,
16,
29
] | 20 | [
"31-29=2",
"72/2=36",
"36-16=20"
] | Current State: 20:[72, 31, 16, 29], Operations: []
Exploring Operation: 31-29=2, Resulting Numbers: [72, 16, 2]
Generated Node #2: [72, 16, 2] from Operation: 31-29=2
Current State: 20:[72, 16, 2], Operations: ['31-29=2']
Exploring Operation: 72/2=36, Resulting Numbers: [16, 36]
Generated Node #3: [16, 36] from Operation: 72/2=36
Current State: 20:[16, 36], Operations: ['31-29=2', '72/2=36']
Exploring Operation: 36-16=20, Resulting Numbers: [20]
20,20 equal: Goal Reached
| 4 |
[
13,
18,
64,
26
] | 73 | [
"13*18=234",
"234/26=9",
"64+9=73"
] | Current State: 73:[13, 18, 64, 26], Operations: []
Exploring Operation: 13*18=234, Resulting Numbers: [64, 26, 234]
Generated Node #2: [64, 26, 234] from Operation: 13*18=234
Current State: 73:[64, 26, 234], Operations: ['13*18=234']
Exploring Operation: 234/26=9, Resulting Numbers: [64, 9]
Generated Node #3: [64, 9] from Operation: 234/26=9
Current State: 73:[64, 9], Operations: ['13*18=234', '234/26=9']
Exploring Operation: 64+9=73, Resulting Numbers: [73]
73,73 equal: Goal Reached
| 4 |
[
11,
18,
27,
20
] | 10 | [
"11+18=29",
"29-27=2",
"20/2=10"
] | Current State: 10:[11, 18, 27, 20], Operations: []
Exploring Operation: 11+18=29, Resulting Numbers: [27, 20, 29]
Generated Node #2: [27, 20, 29] from Operation: 11+18=29
Current State: 10:[27, 20, 29], Operations: ['11+18=29']
Exploring Operation: 29-27=2, Resulting Numbers: [20, 2]
Generated Node #3: [20, 2] from Operation: 29-27=2
Current State: 10:[20, 2], Operations: ['11+18=29', '29-27=2']
Exploring Operation: 20/2=10, Resulting Numbers: [10]
10,10 equal: Goal Reached
| 4 |
[
41,
23,
71,
6
] | 83 | [
"41-23=18",
"71-6=65",
"18+65=83"
] | Current State: 83:[41, 23, 71, 6], Operations: []
Exploring Operation: 41-23=18, Resulting Numbers: [71, 6, 18]
Generated Node #2: [71, 6, 18] from Operation: 41-23=18
Current State: 83:[71, 6, 18], Operations: ['41-23=18']
Exploring Operation: 71-6=65, Resulting Numbers: [18, 65]
Generated Node #3: [18, 65] from Operation: 71-6=65
Current State: 83:[18, 65], Operations: ['41-23=18', '71-6=65']
Exploring Operation: 18+65=83, Resulting Numbers: [83]
83,83 equal: Goal Reached
| 4 |
[
99,
24,
48,
3
] | 23 | [
"99-24=75",
"75/3=25",
"48-25=23"
] | Current State: 23:[99, 24, 48, 3], Operations: []
Exploring Operation: 99-24=75, Resulting Numbers: [48, 3, 75]
Generated Node #2: [48, 3, 75] from Operation: 99-24=75
Current State: 23:[48, 3, 75], Operations: ['99-24=75']
Exploring Operation: 75/3=25, Resulting Numbers: [48, 25]
Generated Node #3: [48, 25] from Operation: 75/3=25
Current State: 23:[48, 25], Operations: ['99-24=75', '75/3=25']
Exploring Operation: 48-25=23, Resulting Numbers: [23]
23,23 equal: Goal Reached
| 4 |
[
32,
43,
81,
6
] | 68 | [
"32*6=192",
"43+81=124",
"192-124=68"
] | Current State: 68:[32, 43, 81, 6], Operations: []
Exploring Operation: 32*6=192, Resulting Numbers: [43, 81, 192]
Generated Node #2: [43, 81, 192] from Operation: 32*6=192
Current State: 68:[43, 81, 192], Operations: ['32*6=192']
Exploring Operation: 43+81=124, Resulting Numbers: [192, 124]
Generated Node #3: [192, 124] from Operation: 43+81=124
Current State: 68:[192, 124], Operations: ['32*6=192', '43+81=124']
Exploring Operation: 192-124=68, Resulting Numbers: [68]
68,68 equal: Goal Reached
| 4 |
[
92,
96,
51,
35
] | 64 | [
"96-92=4",
"51-35=16",
"4*16=64"
] | Current State: 64:[92, 96, 51, 35], Operations: []
Exploring Operation: 96-92=4, Resulting Numbers: [51, 35, 4]
Generated Node #2: [51, 35, 4] from Operation: 96-92=4
Current State: 64:[51, 35, 4], Operations: ['96-92=4']
Exploring Operation: 51-35=16, Resulting Numbers: [4, 16]
Generated Node #3: [4, 16] from Operation: 51-35=16
Current State: 64:[4, 16], Operations: ['96-92=4', '51-35=16']
Exploring Operation: 4*16=64, Resulting Numbers: [64]
64,64 equal: Goal Reached
| 4 |
[
21,
17,
11,
68
] | 95 | [
"21+17=38",
"68-11=57",
"38+57=95"
] | Current State: 95:[21, 17, 11, 68], Operations: []
Exploring Operation: 21+17=38, Resulting Numbers: [11, 68, 38]
Generated Node #2: [11, 68, 38] from Operation: 21+17=38
Current State: 95:[11, 68, 38], Operations: ['21+17=38']
Exploring Operation: 68-11=57, Resulting Numbers: [38, 57]
Generated Node #3: [38, 57] from Operation: 68-11=57
Current State: 95:[38, 57], Operations: ['21+17=38', '68-11=57']
Exploring Operation: 38+57=95, Resulting Numbers: [95]
95,95 equal: Goal Reached
| 4 |
[
14,
22,
83,
94
] | 19 | [
"22-14=8",
"94-83=11",
"8+11=19"
] | Current State: 19:[14, 22, 83, 94], Operations: []
Exploring Operation: 22-14=8, Resulting Numbers: [83, 94, 8]
Generated Node #2: [83, 94, 8] from Operation: 22-14=8
Current State: 19:[83, 94, 8], Operations: ['22-14=8']
Exploring Operation: 94-83=11, Resulting Numbers: [8, 11]
Generated Node #3: [8, 11] from Operation: 94-83=11
Current State: 19:[8, 11], Operations: ['22-14=8', '94-83=11']
Exploring Operation: 8+11=19, Resulting Numbers: [19]
19,19 equal: Goal Reached
| 4 |
[
8,
63,
55,
94
] | 78 | [
"8+63=71",
"55+94=149",
"149-71=78"
] | Current State: 78:[8, 63, 55, 94], Operations: []
Exploring Operation: 8+63=71, Resulting Numbers: [55, 94, 71]
Generated Node #2: [55, 94, 71] from Operation: 8+63=71
Current State: 78:[55, 94, 71], Operations: ['8+63=71']
Exploring Operation: 55+94=149, Resulting Numbers: [71, 149]
Generated Node #3: [71, 149] from Operation: 55+94=149
Current State: 78:[71, 149], Operations: ['8+63=71', '55+94=149']
Exploring Operation: 149-71=78, Resulting Numbers: [78]
78,78 equal: Goal Reached
| 4 |
[
12,
53,
58,
56
] | 62 | [
"56-53=3",
"12/3=4",
"58+4=62"
] | Current State: 62:[12, 53, 58, 56], Operations: []
Exploring Operation: 56-53=3, Resulting Numbers: [12, 58, 3]
Generated Node #2: [12, 58, 3] from Operation: 56-53=3
Current State: 62:[12, 58, 3], Operations: ['56-53=3']
Exploring Operation: 12/3=4, Resulting Numbers: [58, 4]
Generated Node #3: [58, 4] from Operation: 12/3=4
Current State: 62:[58, 4], Operations: ['56-53=3', '12/3=4']
Exploring Operation: 58+4=62, Resulting Numbers: [62]
62,62 equal: Goal Reached
| 4 |
[
69,
21,
56,
54
] | 88 | [
"69+21=90",
"56-54=2",
"90-2=88"
] | Current State: 88:[69, 21, 56, 54], Operations: []
Exploring Operation: 69+21=90, Resulting Numbers: [56, 54, 90]
Generated Node #2: [56, 54, 90] from Operation: 69+21=90
Current State: 88:[56, 54, 90], Operations: ['69+21=90']
Exploring Operation: 56-54=2, Resulting Numbers: [90, 2]
Generated Node #3: [90, 2] from Operation: 56-54=2
Current State: 88:[90, 2], Operations: ['69+21=90', '56-54=2']
Exploring Operation: 90-2=88, Resulting Numbers: [88]
88,88 equal: Goal Reached
| 4 |
[
69,
22,
78,
87
] | 56 | [
"69-22=47",
"87-78=9",
"47+9=56"
] | Current State: 56:[69, 22, 78, 87], Operations: []
Exploring Operation: 69-22=47, Resulting Numbers: [78, 87, 47]
Generated Node #2: [78, 87, 47] from Operation: 69-22=47
Current State: 56:[78, 87, 47], Operations: ['69-22=47']
Exploring Operation: 87-78=9, Resulting Numbers: [47, 9]
Generated Node #3: [47, 9] from Operation: 87-78=9
Current State: 56:[47, 9], Operations: ['69-22=47', '87-78=9']
Exploring Operation: 47+9=56, Resulting Numbers: [56]
56,56 equal: Goal Reached
| 4 |
[
55,
33,
11,
11
] | 41 | [
"55-11=44",
"33/11=3",
"44-3=41"
] | Current State: 41:[55, 33, 11, 11], Operations: []
Exploring Operation: 55-11=44, Resulting Numbers: [33, 44]
Generated Node #2: [33, 44] from Operation: 55-11=44
Current State: 41:[33, 44], Operations: ['55-11=44']
Exploring Operation: 33/11=3, Resulting Numbers: [44, 3]
Generated Node #3: [44, 3] from Operation: 33/11=3
Current State: 41:[44, 3], Operations: ['55-11=44', '33/11=3']
Exploring Operation: 44-3=41, Resulting Numbers: [41]
41,41 equal: Goal Reached
| 4 |
[
52,
8,
7,
19
] | 34 | [
"52+8=60",
"7+19=26",
"60-26=34"
] | Current State: 34:[52, 8, 7, 19], Operations: []
Exploring Operation: 52+8=60, Resulting Numbers: [7, 19, 60]
Generated Node #2: [7, 19, 60] from Operation: 52+8=60
Current State: 34:[7, 19, 60], Operations: ['52+8=60']
Exploring Operation: 7+19=26, Resulting Numbers: [60, 26]
Generated Node #3: [60, 26] from Operation: 7+19=26
Current State: 34:[60, 26], Operations: ['52+8=60', '7+19=26']
Exploring Operation: 60-26=34, Resulting Numbers: [34]
34,34 equal: Goal Reached
| 4 |
[
7,
9,
89,
33
] | 79 | [
"33-9=24",
"7*24=168",
"168-89=79"
] | Current State: 79:[7, 9, 89, 33], Operations: []
Exploring Operation: 33-9=24, Resulting Numbers: [7, 89, 24]
Generated Node #2: [7, 89, 24] from Operation: 33-9=24
Current State: 79:[7, 89, 24], Operations: ['33-9=24']
Exploring Operation: 7*24=168, Resulting Numbers: [89, 168]
Generated Node #3: [89, 168] from Operation: 7*24=168
Current State: 79:[89, 168], Operations: ['33-9=24', '7*24=168']
Exploring Operation: 168-89=79, Resulting Numbers: [79]
79,79 equal: Goal Reached
| 4 |
[
84,
3,
23,
35
] | 20 | [
"84-35=49",
"3*23=69",
"69-49=20"
] | Current State: 20:[84, 3, 23, 35], Operations: []
Exploring Operation: 84-35=49, Resulting Numbers: [3, 23, 49]
Generated Node #2: [3, 23, 49] from Operation: 84-35=49
Current State: 20:[3, 23, 49], Operations: ['84-35=49']
Exploring Operation: 3*23=69, Resulting Numbers: [49, 69]
Generated Node #3: [49, 69] from Operation: 3*23=69
Current State: 20:[49, 69], Operations: ['84-35=49', '3*23=69']
Exploring Operation: 69-49=20, Resulting Numbers: [20]
20,20 equal: Goal Reached
| 4 |
[
15,
65,
11,
9
] | 78 | [
"15+65=80",
"11-9=2",
"80-2=78"
] | Current State: 78:[15, 65, 11, 9], Operations: []
Exploring Operation: 15+65=80, Resulting Numbers: [11, 9, 80]
Generated Node #2: [11, 9, 80] from Operation: 15+65=80
Current State: 78:[11, 9, 80], Operations: ['15+65=80']
Exploring Operation: 11-9=2, Resulting Numbers: [80, 2]
Generated Node #3: [80, 2] from Operation: 11-9=2
Current State: 78:[80, 2], Operations: ['15+65=80', '11-9=2']
Exploring Operation: 80-2=78, Resulting Numbers: [78]
78,78 equal: Goal Reached
| 4 |
[
9,
2,
19,
35
] | 42 | [
"9+19=28",
"2*35=70",
"70-28=42"
] | Current State: 42:[9, 2, 19, 35], Operations: []
Exploring Operation: 9+19=28, Resulting Numbers: [2, 35, 28]
Generated Node #2: [2, 35, 28] from Operation: 9+19=28
Current State: 42:[2, 35, 28], Operations: ['9+19=28']
Exploring Operation: 2*35=70, Resulting Numbers: [28, 70]
Generated Node #3: [28, 70] from Operation: 2*35=70
Current State: 42:[28, 70], Operations: ['9+19=28', '2*35=70']
Exploring Operation: 70-28=42, Resulting Numbers: [42]
42,42 equal: Goal Reached
| 4 |
[
80,
24,
61,
30
] | 25 | [
"80-24=56",
"61-30=31",
"56-31=25"
] | Current State: 25:[80, 24, 61, 30], Operations: []
Exploring Operation: 80-24=56, Resulting Numbers: [61, 30, 56]
Generated Node #2: [61, 30, 56] from Operation: 80-24=56
Current State: 25:[61, 30, 56], Operations: ['80-24=56']
Exploring Operation: 61-30=31, Resulting Numbers: [56, 31]
Generated Node #3: [56, 31] from Operation: 61-30=31
Current State: 25:[56, 31], Operations: ['80-24=56', '61-30=31']
Exploring Operation: 56-31=25, Resulting Numbers: [25]
25,25 equal: Goal Reached
| 4 |
[
73,
55,
16,
11
] | 23 | [
"73-55=18",
"16-11=5",
"18+5=23"
] | Current State: 23:[73, 55, 16, 11], Operations: []
Exploring Operation: 73-55=18, Resulting Numbers: [16, 11, 18]
Generated Node #2: [16, 11, 18] from Operation: 73-55=18
Current State: 23:[16, 11, 18], Operations: ['73-55=18']
Exploring Operation: 16-11=5, Resulting Numbers: [18, 5]
Generated Node #3: [18, 5] from Operation: 16-11=5
Current State: 23:[18, 5], Operations: ['73-55=18', '16-11=5']
Exploring Operation: 18+5=23, Resulting Numbers: [23]
23,23 equal: Goal Reached
| 4 |
[
65,
59,
48,
96
] | 88 | [
"65-59=6",
"48/6=8",
"96-8=88"
] | Current State: 88:[65, 59, 48, 96], Operations: []
Exploring Operation: 65-59=6, Resulting Numbers: [48, 96, 6]
Generated Node #2: [48, 96, 6] from Operation: 65-59=6
Current State: 88:[48, 96, 6], Operations: ['65-59=6']
Exploring Operation: 48/6=8, Resulting Numbers: [96, 8]
Generated Node #3: [96, 8] from Operation: 48/6=8
Current State: 88:[96, 8], Operations: ['65-59=6', '48/6=8']
Exploring Operation: 96-8=88, Resulting Numbers: [88]
88,88 equal: Goal Reached
| 4 |
[
97,
23,
20,
2
] | 50 | [
"97+23=120",
"120-20=100",
"100/2=50"
] | Current State: 50:[97, 23, 20, 2], Operations: []
Exploring Operation: 97+23=120, Resulting Numbers: [20, 2, 120]
Generated Node #2: [20, 2, 120] from Operation: 97+23=120
Current State: 50:[20, 2, 120], Operations: ['97+23=120']
Exploring Operation: 120-20=100, Resulting Numbers: [2, 100]
Generated Node #3: [2, 100] from Operation: 120-20=100
Current State: 50:[2, 100], Operations: ['97+23=120', '120-20=100']
Exploring Operation: 100/2=50, Resulting Numbers: [50]
50,50 equal: Goal Reached
| 4 |
[
77,
11,
97,
62
] | 28 | [
"77/11=7",
"97-62=35",
"35-7=28"
] | Current State: 28:[77, 11, 97, 62], Operations: []
Exploring Operation: 77/11=7, Resulting Numbers: [97, 62, 7]
Generated Node #2: [97, 62, 7] from Operation: 77/11=7
Current State: 28:[97, 62, 7], Operations: ['77/11=7']
Exploring Operation: 97-62=35, Resulting Numbers: [7, 35]
Generated Node #3: [7, 35] from Operation: 97-62=35
Current State: 28:[7, 35], Operations: ['77/11=7', '97-62=35']
Exploring Operation: 35-7=28, Resulting Numbers: [28]
28,28 equal: Goal Reached
| 4 |
[
78,
84,
95,
97
] | 81 | [
"78+84=162",
"97-95=2",
"162/2=81"
] | Current State: 81:[78, 84, 95, 97], Operations: []
Exploring Operation: 78+84=162, Resulting Numbers: [95, 97, 162]
Generated Node #2: [95, 97, 162] from Operation: 78+84=162
Current State: 81:[95, 97, 162], Operations: ['78+84=162']
Exploring Operation: 97-95=2, Resulting Numbers: [162, 2]
Generated Node #3: [162, 2] from Operation: 97-95=2
Current State: 81:[162, 2], Operations: ['78+84=162', '97-95=2']
Exploring Operation: 162/2=81, Resulting Numbers: [81]
81,81 equal: Goal Reached
| 4 |
[
95,
81,
64,
90
] | 11 | [
"95-81=14",
"64+90=154",
"154/14=11"
] | Current State: 11:[95, 81, 64, 90], Operations: []
Exploring Operation: 95-81=14, Resulting Numbers: [64, 90, 14]
Generated Node #2: [64, 90, 14] from Operation: 95-81=14
Current State: 11:[64, 90, 14], Operations: ['95-81=14']
Exploring Operation: 64+90=154, Resulting Numbers: [14, 154]
Generated Node #3: [14, 154] from Operation: 64+90=154
Current State: 11:[14, 154], Operations: ['95-81=14', '64+90=154']
Exploring Operation: 154/14=11, Resulting Numbers: [11]
11,11 equal: Goal Reached
| 4 |
[
64,
9,
55,
12
] | 99 | [
"64-55=9",
"9*12=108",
"108-9=99"
] | Current State: 99:[64, 9, 55, 12], Operations: []
Exploring Operation: 64-55=9, Resulting Numbers: [9, 12, 9]
Generated Node #2: [9, 12, 9] from Operation: 64-55=9
Current State: 99:[9, 12, 9], Operations: ['64-55=9']
Exploring Operation: 9*12=108, Resulting Numbers: [108]
108,99 equal: Goal Reached
Exploring Operation: 108-9=99, Resulting Numbers: [99]
99,99 equal: Goal Reached
| 4 |
[
85,
83,
86,
47
] | 90 | [
"85-83=2",
"86/2=43",
"47+43=90"
] | Current State: 90:[85, 83, 86, 47], Operations: []
Exploring Operation: 85-83=2, Resulting Numbers: [86, 47, 2]
Generated Node #2: [86, 47, 2] from Operation: 85-83=2
Current State: 90:[86, 47, 2], Operations: ['85-83=2']
Exploring Operation: 86/2=43, Resulting Numbers: [47, 43]
Generated Node #3: [47, 43] from Operation: 86/2=43
Current State: 90:[47, 43], Operations: ['85-83=2', '86/2=43']
Exploring Operation: 47+43=90, Resulting Numbers: [90]
90,90 equal: Goal Reached
| 4 |
[
94,
9,
18,
65
] | 58 | [
"94-65=29",
"18/9=2",
"29*2=58"
] | Current State: 58:[94, 9, 18, 65], Operations: []
Exploring Operation: 94-65=29, Resulting Numbers: [9, 18, 29]
Generated Node #2: [9, 18, 29] from Operation: 94-65=29
Current State: 58:[9, 18, 29], Operations: ['94-65=29']
Exploring Operation: 18/9=2, Resulting Numbers: [29, 2]
Generated Node #3: [29, 2] from Operation: 18/9=2
Current State: 58:[29, 2], Operations: ['94-65=29', '18/9=2']
Exploring Operation: 29*2=58, Resulting Numbers: [58]
58,58 equal: Goal Reached
| 4 |
[
8,
27,
62,
21
] | 90 | [
"8+62=70",
"27*70=1890",
"1890/21=90"
] | Current State: 90:[8, 27, 62, 21], Operations: []
Exploring Operation: 8+62=70, Resulting Numbers: [27, 21, 70]
Generated Node #2: [27, 21, 70] from Operation: 8+62=70
Current State: 90:[27, 21, 70], Operations: ['8+62=70']
Exploring Operation: 27*70=1890, Resulting Numbers: [21, 1890]
Generated Node #3: [21, 1890] from Operation: 27*70=1890
Current State: 90:[21, 1890], Operations: ['8+62=70', '27*70=1890']
Exploring Operation: 1890/21=90, Resulting Numbers: [90]
90,90 equal: Goal Reached
| 4 |
[
12,
29,
91,
36
] | 14 | [
"12+29=41",
"91-36=55",
"55-41=14"
] | Current State: 14:[12, 29, 91, 36], Operations: []
Exploring Operation: 12+29=41, Resulting Numbers: [91, 36, 41]
Generated Node #2: [91, 36, 41] from Operation: 12+29=41
Current State: 14:[91, 36, 41], Operations: ['12+29=41']
Exploring Operation: 91-36=55, Resulting Numbers: [41, 55]
Generated Node #3: [41, 55] from Operation: 91-36=55
Current State: 14:[41, 55], Operations: ['12+29=41', '91-36=55']
Exploring Operation: 55-41=14, Resulting Numbers: [14]
14,14 equal: Goal Reached
| 4 |
[
45,
46,
3,
63
] | 67 | [
"46-45=1",
"3+63=66",
"1+66=67"
] | Current State: 67:[45, 46, 3, 63], Operations: []
Exploring Operation: 46-45=1, Resulting Numbers: [3, 63, 1]
Generated Node #2: [3, 63, 1] from Operation: 46-45=1
Current State: 67:[3, 63, 1], Operations: ['46-45=1']
Exploring Operation: 3+63=66, Resulting Numbers: [1, 66]
Generated Node #3: [1, 66] from Operation: 3+63=66
Current State: 67:[1, 66], Operations: ['46-45=1', '3+63=66']
Exploring Operation: 1+66=67, Resulting Numbers: [67]
67,67 equal: Goal Reached
| 4 |
[
92,
90,
55,
31
] | 79 | [
"92-90=2",
"55*2=110",
"110-31=79"
] | Current State: 79:[92, 90, 55, 31], Operations: []
Exploring Operation: 92-90=2, Resulting Numbers: [55, 31, 2]
Generated Node #2: [55, 31, 2] from Operation: 92-90=2
Current State: 79:[55, 31, 2], Operations: ['92-90=2']
Exploring Operation: 55*2=110, Resulting Numbers: [31, 110]
Generated Node #3: [31, 110] from Operation: 55*2=110
Current State: 79:[31, 110], Operations: ['92-90=2', '55*2=110']
Exploring Operation: 110-31=79, Resulting Numbers: [79]
79,79 equal: Goal Reached
| 4 |
[
18,
81,
66,
50
] | 53 | [
"81-18=63",
"66+50=116",
"116-63=53"
] | Current State: 53:[18, 81, 66, 50], Operations: []
Exploring Operation: 81-18=63, Resulting Numbers: [66, 50, 63]
Generated Node #2: [66, 50, 63] from Operation: 81-18=63
Current State: 53:[66, 50, 63], Operations: ['81-18=63']
Exploring Operation: 66+50=116, Resulting Numbers: [63, 116]
Generated Node #3: [63, 116] from Operation: 66+50=116
Current State: 53:[63, 116], Operations: ['81-18=63', '66+50=116']
Exploring Operation: 116-63=53, Resulting Numbers: [53]
53,53 equal: Goal Reached
| 4 |
[
30,
13,
51,
79
] | 45 | [
"30-13=17",
"79-51=28",
"17+28=45"
] | Current State: 45:[30, 13, 51, 79], Operations: []
Exploring Operation: 30-13=17, Resulting Numbers: [51, 79, 17]
Generated Node #2: [51, 79, 17] from Operation: 30-13=17
Current State: 45:[51, 79, 17], Operations: ['30-13=17']
Exploring Operation: 79-51=28, Resulting Numbers: [17, 28]
Generated Node #3: [17, 28] from Operation: 79-51=28
Current State: 45:[17, 28], Operations: ['30-13=17', '79-51=28']
Exploring Operation: 17+28=45, Resulting Numbers: [45]
45,45 equal: Goal Reached
| 4 |
[
90,
92,
28,
1
] | 15 | [
"92-90=2",
"28/2=14",
"1+14=15"
] | Current State: 15:[90, 92, 28, 1], Operations: []
Exploring Operation: 92-90=2, Resulting Numbers: [28, 1, 2]
Generated Node #2: [28, 1, 2] from Operation: 92-90=2
Current State: 15:[28, 1, 2], Operations: ['92-90=2']
Exploring Operation: 28/2=14, Resulting Numbers: [1, 14]
Generated Node #3: [1, 14] from Operation: 28/2=14
Current State: 15:[1, 14], Operations: ['92-90=2', '28/2=14']
Exploring Operation: 1+14=15, Resulting Numbers: [15]
15,15 equal: Goal Reached
| 4 |
[
54,
27,
56,
81
] | 55 | [
"54+27=81",
"81/81=1",
"56-1=55"
] | Current State: 55:[54, 27, 56, 81], Operations: []
Exploring Operation: 54+27=81, Resulting Numbers: [56, 81, 81]
Generated Node #2: [56, 81, 81] from Operation: 54+27=81
Current State: 55:[56, 81, 81], Operations: ['54+27=81']
Exploring Operation: 81/81=1, Resulting Numbers: [56, 1]
Generated Node #3: [56, 1] from Operation: 81/81=1
Current State: 55:[56, 1], Operations: ['54+27=81', '81/81=1']
Exploring Operation: 56-1=55, Resulting Numbers: [55]
55,55 equal: Goal Reached
| 4 |
[
25,
56,
22,
11
] | 26 | [
"25-11=14",
"56/14=4",
"22+4=26"
] | Current State: 26:[25, 56, 22, 11], Operations: []
Exploring Operation: 25-11=14, Resulting Numbers: [56, 22, 14]
Generated Node #2: [56, 22, 14] from Operation: 25-11=14
Current State: 26:[56, 22, 14], Operations: ['25-11=14']
Exploring Operation: 56/14=4, Resulting Numbers: [22, 4]
Generated Node #3: [22, 4] from Operation: 56/14=4
Current State: 26:[22, 4], Operations: ['25-11=14', '56/14=4']
Exploring Operation: 22+4=26, Resulting Numbers: [26]
26,26 equal: Goal Reached
| 4 |
[
57,
16,
89,
86
] | 76 | [
"57+16=73",
"89-86=3",
"73+3=76"
] | Current State: 76:[57, 16, 89, 86], Operations: []
Exploring Operation: 57+16=73, Resulting Numbers: [89, 86, 73]
Generated Node #2: [89, 86, 73] from Operation: 57+16=73
Current State: 76:[89, 86, 73], Operations: ['57+16=73']
Exploring Operation: 89-86=3, Resulting Numbers: [73, 3]
Generated Node #3: [73, 3] from Operation: 89-86=3
Current State: 76:[73, 3], Operations: ['57+16=73', '89-86=3']
Exploring Operation: 73+3=76, Resulting Numbers: [76]
76,76 equal: Goal Reached
| 4 |
[
44,
32,
39,
44
] | 39 | [
"44-44=0",
"32*0=0",
"39+0=39"
] | Current State: 39:[44, 32, 39, 44], Operations: []
Exploring Operation: 44-44=0, Resulting Numbers: [32, 39, 0]
Generated Node #2: [32, 39, 0] from Operation: 44-44=0
Current State: 39:[32, 39, 0], Operations: ['44-44=0']
Exploring Operation: 32*0=0, Resulting Numbers: [39, 0]
Generated Node #3: [39, 0] from Operation: 32*0=0
Current State: 39:[39, 0], Operations: ['44-44=0', '32*0=0']
Exploring Operation: 39+0=39, Resulting Numbers: [39]
39,39 equal: Goal Reached
| 4 |
[
73,
62,
80,
80
] | 73 | [
"80-80=0",
"62*0=0",
"73+0=73"
] | Current State: 73:[73, 62, 80, 80], Operations: []
Exploring Operation: 80-80=0, Resulting Numbers: [73, 62, 0]
Generated Node #2: [73, 62, 0] from Operation: 80-80=0
Current State: 73:[73, 62, 0], Operations: ['80-80=0']
Exploring Operation: 62*0=0, Resulting Numbers: [73, 0]
Generated Node #3: [73, 0] from Operation: 62*0=0
Current State: 73:[73, 0], Operations: ['80-80=0', '62*0=0']
Exploring Operation: 73+0=73, Resulting Numbers: [73]
73,73 equal: Goal Reached
| 4 |
[
98,
52,
50,
78
] | 59 | [
"52-50=2",
"78/2=39",
"98-39=59"
] | Current State: 59:[98, 52, 50, 78], Operations: []
Exploring Operation: 52-50=2, Resulting Numbers: [98, 78, 2]
Generated Node #2: [98, 78, 2] from Operation: 52-50=2
Current State: 59:[98, 78, 2], Operations: ['52-50=2']
Exploring Operation: 78/2=39, Resulting Numbers: [98, 39]
Generated Node #3: [98, 39] from Operation: 78/2=39
Current State: 59:[98, 39], Operations: ['52-50=2', '78/2=39']
Exploring Operation: 98-39=59, Resulting Numbers: [59]
59,59 equal: Goal Reached
| 4 |
[
22,
57,
91,
84
] | 86 | [
"22+57=79",
"91-84=7",
"79+7=86"
] | Current State: 86:[22, 57, 91, 84], Operations: []
Exploring Operation: 22+57=79, Resulting Numbers: [91, 84, 79]
Generated Node #2: [91, 84, 79] from Operation: 22+57=79
Current State: 86:[91, 84, 79], Operations: ['22+57=79']
Exploring Operation: 91-84=7, Resulting Numbers: [79, 7]
Generated Node #3: [79, 7] from Operation: 91-84=7
Current State: 86:[79, 7], Operations: ['22+57=79', '91-84=7']
Exploring Operation: 79+7=86, Resulting Numbers: [86]
86,86 equal: Goal Reached
| 4 |
[
46,
31,
25,
62
] | 52 | [
"46-31=15",
"62-25=37",
"15+37=52"
] | Current State: 52:[46, 31, 25, 62], Operations: []
Exploring Operation: 46-31=15, Resulting Numbers: [25, 62, 15]
Generated Node #2: [25, 62, 15] from Operation: 46-31=15
Current State: 52:[25, 62, 15], Operations: ['46-31=15']
Exploring Operation: 62-25=37, Resulting Numbers: [15, 37]
Generated Node #3: [15, 37] from Operation: 62-25=37
Current State: 52:[15, 37], Operations: ['46-31=15', '62-25=37']
Exploring Operation: 15+37=52, Resulting Numbers: [52]
52,52 equal: Goal Reached
| 4 |
[
6,
82,
38,
38
] | 75 | [
"82-6=76",
"38/38=1",
"76-1=75"
] | Current State: 75:[6, 82, 38, 38], Operations: []
Exploring Operation: 82-6=76, Resulting Numbers: [38, 38, 76]
Generated Node #2: [38, 38, 76] from Operation: 82-6=76
Current State: 75:[38, 38, 76], Operations: ['82-6=76']
Exploring Operation: 38/38=1, Resulting Numbers: [76, 1]
Generated Node #3: [76, 1] from Operation: 38/38=1
Current State: 75:[76, 1], Operations: ['82-6=76', '38/38=1']
Exploring Operation: 76-1=75, Resulting Numbers: [75]
75,75 equal: Goal Reached
| 4 |
[
13,
72,
10,
5
] | 83 | [
"13+72=85",
"10/5=2",
"85-2=83"
] | Current State: 83:[13, 72, 10, 5], Operations: []
Exploring Operation: 13+72=85, Resulting Numbers: [10, 5, 85]
Generated Node #2: [10, 5, 85] from Operation: 13+72=85
Current State: 83:[10, 5, 85], Operations: ['13+72=85']
Exploring Operation: 10/5=2, Resulting Numbers: [85, 2]
Generated Node #3: [85, 2] from Operation: 10/5=2
Current State: 83:[85, 2], Operations: ['13+72=85', '10/5=2']
Exploring Operation: 85-2=83, Resulting Numbers: [83]
83,83 equal: Goal Reached
| 4 |
[
29,
8,
22,
89
] | 74 | [
"29+8=37",
"22+89=111",
"111-37=74"
] | Current State: 74:[29, 8, 22, 89], Operations: []
Exploring Operation: 29+8=37, Resulting Numbers: [22, 89, 37]
Generated Node #2: [22, 89, 37] from Operation: 29+8=37
Current State: 74:[22, 89, 37], Operations: ['29+8=37']
Exploring Operation: 22+89=111, Resulting Numbers: [37, 111]
Generated Node #3: [37, 111] from Operation: 22+89=111
Current State: 74:[37, 111], Operations: ['29+8=37', '22+89=111']
Exploring Operation: 111-37=74, Resulting Numbers: [74]
74,74 equal: Goal Reached
| 4 |
[
89,
5,
38,
85
] | 18 | [
"89-85=4",
"5*4=20",
"38-20=18"
] | Current State: 18:[89, 5, 38, 85], Operations: []
Exploring Operation: 89-85=4, Resulting Numbers: [5, 38, 4]
Generated Node #2: [5, 38, 4] from Operation: 89-85=4
Current State: 18:[5, 38, 4], Operations: ['89-85=4']
Exploring Operation: 5*4=20, Resulting Numbers: [38, 20]
Generated Node #3: [38, 20] from Operation: 5*4=20
Current State: 18:[38, 20], Operations: ['89-85=4', '5*4=20']
Exploring Operation: 38-20=18, Resulting Numbers: [18]
18,18 equal: Goal Reached
| 4 |
[
10,
77,
9,
43
] | 33 | [
"77-10=67",
"43-9=34",
"67-34=33"
] | Current State: 33:[10, 77, 9, 43], Operations: []
Exploring Operation: 77-10=67, Resulting Numbers: [9, 43, 67]
Generated Node #2: [9, 43, 67] from Operation: 77-10=67
Current State: 33:[9, 43, 67], Operations: ['77-10=67']
Exploring Operation: 43-9=34, Resulting Numbers: [67, 34]
Generated Node #3: [67, 34] from Operation: 43-9=34
Current State: 33:[67, 34], Operations: ['77-10=67', '43-9=34']
Exploring Operation: 67-34=33, Resulting Numbers: [33]
33,33 equal: Goal Reached
| 4 |
[
1,
36,
87,
83
] | 12 | [
"87-1=86",
"86-83=3",
"36/3=12"
] | Current State: 12:[1, 36, 87, 83], Operations: []
Exploring Operation: 87-1=86, Resulting Numbers: [36, 83, 86]
Generated Node #2: [36, 83, 86] from Operation: 87-1=86
Current State: 12:[36, 83, 86], Operations: ['87-1=86']
Exploring Operation: 86-83=3, Resulting Numbers: [36, 3]
Generated Node #3: [36, 3] from Operation: 86-83=3
Current State: 12:[36, 3], Operations: ['87-1=86', '86-83=3']
Exploring Operation: 36/3=12, Resulting Numbers: [12]
12,12 equal: Goal Reached
| 4 |
[
34,
31,
50,
65
] | 45 | [
"34-31=3",
"65-50=15",
"3*15=45"
] | Current State: 45:[34, 31, 50, 65], Operations: []
Exploring Operation: 34-31=3, Resulting Numbers: [50, 65, 3]
Generated Node #2: [50, 65, 3] from Operation: 34-31=3
Current State: 45:[50, 65, 3], Operations: ['34-31=3']
Exploring Operation: 65-50=15, Resulting Numbers: [3, 15]
Generated Node #3: [3, 15] from Operation: 65-50=15
Current State: 45:[3, 15], Operations: ['34-31=3', '65-50=15']
Exploring Operation: 3*15=45, Resulting Numbers: [45]
45,45 equal: Goal Reached
| 4 |
[
74,
47,
68,
11
] | 79 | [
"74+47=121",
"121/11=11",
"68+11=79"
] | Current State: 79:[74, 47, 68, 11], Operations: []
Exploring Operation: 74+47=121, Resulting Numbers: [68, 11, 121]
Generated Node #2: [68, 11, 121] from Operation: 74+47=121
Current State: 79:[68, 11, 121], Operations: ['74+47=121']
Exploring Operation: 121/11=11, Resulting Numbers: [68, 11]
Generated Node #3: [68, 11] from Operation: 121/11=11
Current State: 79:[68, 11], Operations: ['74+47=121', '121/11=11']
Exploring Operation: 68+11=79, Resulting Numbers: [79]
79,79 equal: Goal Reached
| 4 |
[
35,
39,
3,
30
] | 49 | [
"39+3=42",
"35*42=1470",
"1470/30=49"
] | Current State: 49:[35, 39, 3, 30], Operations: []
Exploring Operation: 39+3=42, Resulting Numbers: [35, 30, 42]
Generated Node #2: [35, 30, 42] from Operation: 39+3=42
Current State: 49:[35, 30, 42], Operations: ['39+3=42']
Exploring Operation: 35*42=1470, Resulting Numbers: [30, 1470]
Generated Node #3: [30, 1470] from Operation: 35*42=1470
Current State: 49:[30, 1470], Operations: ['39+3=42', '35*42=1470']
Exploring Operation: 1470/30=49, Resulting Numbers: [49]
49,49 equal: Goal Reached
| 4 |
[
32,
20,
79,
74
] | 47 | [
"32+20=52",
"79-74=5",
"52-5=47"
] | Current State: 47:[32, 20, 79, 74], Operations: []
Exploring Operation: 32+20=52, Resulting Numbers: [79, 74, 52]
Generated Node #2: [79, 74, 52] from Operation: 32+20=52
Current State: 47:[79, 74, 52], Operations: ['32+20=52']
Exploring Operation: 79-74=5, Resulting Numbers: [52, 5]
Generated Node #3: [52, 5] from Operation: 79-74=5
Current State: 47:[52, 5], Operations: ['32+20=52', '79-74=5']
Exploring Operation: 52-5=47, Resulting Numbers: [47]
47,47 equal: Goal Reached
| 4 |
[
8,
63,
27,
25
] | 67 | [
"27-25=2",
"8/2=4",
"63+4=67"
] | Current State: 67:[8, 63, 27, 25], Operations: []
Exploring Operation: 27-25=2, Resulting Numbers: [8, 63, 2]
Generated Node #2: [8, 63, 2] from Operation: 27-25=2
Current State: 67:[8, 63, 2], Operations: ['27-25=2']
Exploring Operation: 8/2=4, Resulting Numbers: [63, 4]
Generated Node #3: [63, 4] from Operation: 8/2=4
Current State: 67:[63, 4], Operations: ['27-25=2', '8/2=4']
Exploring Operation: 63+4=67, Resulting Numbers: [67]
67,67 equal: Goal Reached
| 4 |
[
67,
31,
17,
17
] | 37 | [
"67-31=36",
"17/17=1",
"36+1=37"
] | Current State: 37:[67, 31, 17, 17], Operations: []
Exploring Operation: 67-31=36, Resulting Numbers: [17, 17, 36]
Generated Node #2: [17, 17, 36] from Operation: 67-31=36
Current State: 37:[17, 17, 36], Operations: ['67-31=36']
Exploring Operation: 17/17=1, Resulting Numbers: [36, 1]
Generated Node #3: [36, 1] from Operation: 17/17=1
Current State: 37:[36, 1], Operations: ['67-31=36', '17/17=1']
Exploring Operation: 36+1=37, Resulting Numbers: [37]
37,37 equal: Goal Reached
| 4 |
[
51,
11,
10,
2
] | 30 | [
"51-11=40",
"40/2=20",
"10+20=30"
] | Current State: 30:[51, 11, 10, 2], Operations: []
Exploring Operation: 51-11=40, Resulting Numbers: [10, 2, 40]
Generated Node #2: [10, 2, 40] from Operation: 51-11=40
Current State: 30:[10, 2, 40], Operations: ['51-11=40']
Exploring Operation: 40/2=20, Resulting Numbers: [10, 20]
Generated Node #3: [10, 20] from Operation: 40/2=20
Current State: 30:[10, 20], Operations: ['51-11=40', '40/2=20']
Exploring Operation: 10+20=30, Resulting Numbers: [30]
30,30 equal: Goal Reached
| 4 |
[
64,
34,
4,
30
] | 56 | [
"64-34=30",
"30-4=26",
"30+26=56"
] | Current State: 56:[64, 34, 4, 30], Operations: []
Exploring Operation: 64-34=30, Resulting Numbers: [4, 30, 30]
Generated Node #2: [4, 30, 30] from Operation: 64-34=30
Current State: 56:[4, 30, 30], Operations: ['64-34=30']
Exploring Operation: 30-4=26, Resulting Numbers: [26]
26,56 equal: Goal Reached
Exploring Operation: 30+26=56, Resulting Numbers: [56]
56,56 equal: Goal Reached
| 4 |
[
29,
12,
82,
46
] | 41 | [
"29*82=2378",
"12+46=58",
"2378/58=41"
] | Current State: 41:[29, 12, 82, 46], Operations: []
Exploring Operation: 29*82=2378, Resulting Numbers: [12, 46, 2378]
Generated Node #2: [12, 46, 2378] from Operation: 29*82=2378
Current State: 41:[12, 46, 2378], Operations: ['29*82=2378']
Exploring Operation: 12+46=58, Resulting Numbers: [2378, 58]
Generated Node #3: [2378, 58] from Operation: 12+46=58
Current State: 41:[2378, 58], Operations: ['29*82=2378', '12+46=58']
Exploring Operation: 2378/58=41, Resulting Numbers: [41]
41,41 equal: Goal Reached
| 4 |
[
12,
27,
41,
38
] | 94 | [
"27-12=15",
"41+38=79",
"15+79=94"
] | Current State: 94:[12, 27, 41, 38], Operations: []
Exploring Operation: 27-12=15, Resulting Numbers: [41, 38, 15]
Generated Node #2: [41, 38, 15] from Operation: 27-12=15
Current State: 94:[41, 38, 15], Operations: ['27-12=15']
Exploring Operation: 41+38=79, Resulting Numbers: [15, 79]
Generated Node #3: [15, 79] from Operation: 41+38=79
Current State: 94:[15, 79], Operations: ['27-12=15', '41+38=79']
Exploring Operation: 15+79=94, Resulting Numbers: [94]
94,94 equal: Goal Reached
| 4 |
[
4,
4,
6,
56
] | 62 | [
"4-4=0",
"6+56=62",
"0+62=62"
] | Current State: 62:[4, 4, 6, 56], Operations: []
Exploring Operation: 4-4=0, Resulting Numbers: [6, 56, 0]
Generated Node #2: [6, 56, 0] from Operation: 4-4=0
Current State: 62:[6, 56, 0], Operations: ['4-4=0']
Exploring Operation: 6+56=62, Resulting Numbers: [0, 62]
Generated Node #3: [0, 62] from Operation: 6+56=62
Current State: 62:[0, 62], Operations: ['4-4=0', '6+56=62']
Exploring Operation: 0+62=62, Resulting Numbers: [62]
62,62 equal: Goal Reached
| 4 |
[
47,
68,
72,
50
] | 70 | [
"72-47=25",
"50/25=2",
"68+2=70"
] | Current State: 70:[47, 68, 72, 50], Operations: []
Exploring Operation: 72-47=25, Resulting Numbers: [68, 50, 25]
Generated Node #2: [68, 50, 25] from Operation: 72-47=25
Current State: 70:[68, 50, 25], Operations: ['72-47=25']
Exploring Operation: 50/25=2, Resulting Numbers: [68, 2]
Generated Node #3: [68, 2] from Operation: 50/25=2
Current State: 70:[68, 2], Operations: ['72-47=25', '50/25=2']
Exploring Operation: 68+2=70, Resulting Numbers: [70]
70,70 equal: Goal Reached
| 4 |
[
9,
65,
37,
14
] | 98 | [
"9*14=126",
"65-37=28",
"126-28=98"
] | Current State: 98:[9, 65, 37, 14], Operations: []
Exploring Operation: 9*14=126, Resulting Numbers: [65, 37, 126]
Generated Node #2: [65, 37, 126] from Operation: 9*14=126
Current State: 98:[65, 37, 126], Operations: ['9*14=126']
Exploring Operation: 65-37=28, Resulting Numbers: [126, 28]
Generated Node #3: [126, 28] from Operation: 65-37=28
Current State: 98:[126, 28], Operations: ['9*14=126', '65-37=28']
Exploring Operation: 126-28=98, Resulting Numbers: [98]
98,98 equal: Goal Reached
| 4 |
[
3,
22,
19,
76
] | 54 | [
"76/19=4",
"22-4=18",
"3*18=54"
] | Current State: 54:[3, 22, 19, 76], Operations: []
Exploring Operation: 76/19=4, Resulting Numbers: [3, 22, 4]
Generated Node #2: [3, 22, 4] from Operation: 76/19=4
Current State: 54:[3, 22, 4], Operations: ['76/19=4']
Exploring Operation: 22-4=18, Resulting Numbers: [3, 18]
Generated Node #3: [3, 18] from Operation: 22-4=18
Current State: 54:[3, 18], Operations: ['76/19=4', '22-4=18']
Exploring Operation: 3*18=54, Resulting Numbers: [54]
54,54 equal: Goal Reached
| 4 |
[
93,
99,
38,
63
] | 95 | [
"99-93=6",
"38+63=101",
"101-6=95"
] | Current State: 95:[93, 99, 38, 63], Operations: []
Exploring Operation: 99-93=6, Resulting Numbers: [38, 63, 6]
Generated Node #2: [38, 63, 6] from Operation: 99-93=6
Current State: 95:[38, 63, 6], Operations: ['99-93=6']
Exploring Operation: 38+63=101, Resulting Numbers: [6, 101]
Generated Node #3: [6, 101] from Operation: 38+63=101
Current State: 95:[6, 101], Operations: ['99-93=6', '38+63=101']
Exploring Operation: 101-6=95, Resulting Numbers: [95]
95,95 equal: Goal Reached
| 4 |
[
3,
41,
20,
19
] | 54 | [
"20+19=39",
"39/3=13",
"41+13=54"
] | Current State: 54:[3, 41, 20, 19], Operations: []
Exploring Operation: 20+19=39, Resulting Numbers: [3, 41, 39]
Generated Node #2: [3, 41, 39] from Operation: 20+19=39
Current State: 54:[3, 41, 39], Operations: ['20+19=39']
Exploring Operation: 39/3=13, Resulting Numbers: [41, 13]
Generated Node #3: [41, 13] from Operation: 39/3=13
Current State: 54:[41, 13], Operations: ['20+19=39', '39/3=13']
Exploring Operation: 41+13=54, Resulting Numbers: [54]
54,54 equal: Goal Reached
| 4 |
[
7,
13,
75,
84
] | 74 | [
"84/7=12",
"75-13=62",
"12+62=74"
] | Current State: 74:[7, 13, 75, 84], Operations: []
Exploring Operation: 84/7=12, Resulting Numbers: [13, 75, 12]
Generated Node #2: [13, 75, 12] from Operation: 84/7=12
Current State: 74:[13, 75, 12], Operations: ['84/7=12']
Exploring Operation: 75-13=62, Resulting Numbers: [12, 62]
Generated Node #3: [12, 62] from Operation: 75-13=62
Current State: 74:[12, 62], Operations: ['84/7=12', '75-13=62']
Exploring Operation: 12+62=74, Resulting Numbers: [74]
74,74 equal: Goal Reached
| 4 |
[
85,
13,
59,
56
] | 17 | [
"85+13=98",
"59+56=115",
"115-98=17"
] | Current State: 17:[85, 13, 59, 56], Operations: []
Exploring Operation: 85+13=98, Resulting Numbers: [59, 56, 98]
Generated Node #2: [59, 56, 98] from Operation: 85+13=98
Current State: 17:[59, 56, 98], Operations: ['85+13=98']
Exploring Operation: 59+56=115, Resulting Numbers: [98, 115]
Generated Node #3: [98, 115] from Operation: 59+56=115
Current State: 17:[98, 115], Operations: ['85+13=98', '59+56=115']
Exploring Operation: 115-98=17, Resulting Numbers: [17]
17,17 equal: Goal Reached
| 4 |
[
54,
11,
25,
4
] | 22 | [
"54-11=43",
"25-4=21",
"43-21=22"
] | Current State: 22:[54, 11, 25, 4], Operations: []
Exploring Operation: 54-11=43, Resulting Numbers: [25, 4, 43]
Generated Node #2: [25, 4, 43] from Operation: 54-11=43
Current State: 22:[25, 4, 43], Operations: ['54-11=43']
Exploring Operation: 25-4=21, Resulting Numbers: [43, 21]
Generated Node #3: [43, 21] from Operation: 25-4=21
Current State: 22:[43, 21], Operations: ['54-11=43', '25-4=21']
Exploring Operation: 43-21=22, Resulting Numbers: [22]
22,22 equal: Goal Reached
| 4 |
[
86,
42,
96,
95
] | 63 | [
"86+42=128",
"96+95=191",
"191-128=63"
] | Current State: 63:[86, 42, 96, 95], Operations: []
Exploring Operation: 86+42=128, Resulting Numbers: [96, 95, 128]
Generated Node #2: [96, 95, 128] from Operation: 86+42=128
Current State: 63:[96, 95, 128], Operations: ['86+42=128']
Exploring Operation: 96+95=191, Resulting Numbers: [128, 191]
Generated Node #3: [128, 191] from Operation: 96+95=191
Current State: 63:[128, 191], Operations: ['86+42=128', '96+95=191']
Exploring Operation: 191-128=63, Resulting Numbers: [63]
63,63 equal: Goal Reached
| 4 |
[
18,
16,
33,
44
] | 79 | [
"18-16=2",
"33+44=77",
"2+77=79"
] | Current State: 79:[18, 16, 33, 44], Operations: []
Exploring Operation: 18-16=2, Resulting Numbers: [33, 44, 2]
Generated Node #2: [33, 44, 2] from Operation: 18-16=2
Current State: 79:[33, 44, 2], Operations: ['18-16=2']
Exploring Operation: 33+44=77, Resulting Numbers: [2, 77]
Generated Node #3: [2, 77] from Operation: 33+44=77
Current State: 79:[2, 77], Operations: ['18-16=2', '33+44=77']
Exploring Operation: 2+77=79, Resulting Numbers: [79]
79,79 equal: Goal Reached
| 4 |
[
77,
51,
35,
3
] | 90 | [
"77+51=128",
"35+3=38",
"128-38=90"
] | Current State: 90:[77, 51, 35, 3], Operations: []
Exploring Operation: 77+51=128, Resulting Numbers: [35, 3, 128]
Generated Node #2: [35, 3, 128] from Operation: 77+51=128
Current State: 90:[35, 3, 128], Operations: ['77+51=128']
Exploring Operation: 35+3=38, Resulting Numbers: [128, 38]
Generated Node #3: [128, 38] from Operation: 35+3=38
Current State: 90:[128, 38], Operations: ['77+51=128', '35+3=38']
Exploring Operation: 128-38=90, Resulting Numbers: [90]
90,90 equal: Goal Reached
| 4 |
[
85,
17,
92,
96
] | 86 | [
"85+17=102",
"92+96=188",
"188-102=86"
] | Current State: 86:[85, 17, 92, 96], Operations: []
Exploring Operation: 85+17=102, Resulting Numbers: [92, 96, 102]
Generated Node #2: [92, 96, 102] from Operation: 85+17=102
Current State: 86:[92, 96, 102], Operations: ['85+17=102']
Exploring Operation: 92+96=188, Resulting Numbers: [102, 188]
Generated Node #3: [102, 188] from Operation: 92+96=188
Current State: 86:[102, 188], Operations: ['85+17=102', '92+96=188']
Exploring Operation: 188-102=86, Resulting Numbers: [86]
86,86 equal: Goal Reached
| 4 |
[
30,
50,
1,
1
] | 80 | [
"30+50=80",
"1*1=1",
"80*1=80"
] | Current State: 80:[30, 50, 1, 1], Operations: []
Exploring Operation: 30+50=80, Resulting Numbers: [1, 1, 80]
Generated Node #2: [1, 1, 80] from Operation: 30+50=80
Current State: 80:[1, 1, 80], Operations: ['30+50=80']
Exploring Operation: 1*1=1, Resulting Numbers: [80, 1]
Generated Node #3: [80, 1] from Operation: 1*1=1
Current State: 80:[80, 1], Operations: ['30+50=80', '1*1=1']
Exploring Operation: 80*1=80, Resulting Numbers: [80]
80,80 equal: Goal Reached
| 4 |
[
4,
23,
14,
25
] | 20 | [
"23-4=19",
"14+25=39",
"39-19=20"
] | Current State: 20:[4, 23, 14, 25], Operations: []
Exploring Operation: 23-4=19, Resulting Numbers: [14, 25, 19]
Generated Node #2: [14, 25, 19] from Operation: 23-4=19
Current State: 20:[14, 25, 19], Operations: ['23-4=19']
Exploring Operation: 14+25=39, Resulting Numbers: [19, 39]
Generated Node #3: [19, 39] from Operation: 14+25=39
Current State: 20:[19, 39], Operations: ['23-4=19', '14+25=39']
Exploring Operation: 39-19=20, Resulting Numbers: [20]
20,20 equal: Goal Reached
| 4 |
[
91,
82,
7,
13
] | 29 | [
"91-82=9",
"7+13=20",
"9+20=29"
] | Current State: 29:[91, 82, 7, 13], Operations: []
Exploring Operation: 91-82=9, Resulting Numbers: [7, 13, 9]
Generated Node #2: [7, 13, 9] from Operation: 91-82=9
Current State: 29:[7, 13, 9], Operations: ['91-82=9']
Exploring Operation: 7+13=20, Resulting Numbers: [9, 20]
Generated Node #3: [9, 20] from Operation: 7+13=20
Current State: 29:[9, 20], Operations: ['91-82=9', '7+13=20']
Exploring Operation: 9+20=29, Resulting Numbers: [29]
29,29 equal: Goal Reached
| 4 |
[
9,
6,
63,
57
] | 31 | [
"6*57=342",
"342-63=279",
"279/9=31"
] | Current State: 31:[9, 6, 63, 57], Operations: []
Exploring Operation: 6*57=342, Resulting Numbers: [9, 63, 342]
Generated Node #2: [9, 63, 342] from Operation: 6*57=342
Current State: 31:[9, 63, 342], Operations: ['6*57=342']
Exploring Operation: 342-63=279, Resulting Numbers: [9, 279]
Generated Node #3: [9, 279] from Operation: 342-63=279
Current State: 31:[9, 279], Operations: ['6*57=342', '342-63=279']
Exploring Operation: 279/9=31, Resulting Numbers: [31]
31,31 equal: Goal Reached
| 4 |
[
81,
5,
23,
78
] | 54 | [
"81-78=3",
"23-5=18",
"3*18=54"
] | Current State: 54:[81, 5, 23, 78], Operations: []
Exploring Operation: 81-78=3, Resulting Numbers: [5, 23, 3]
Generated Node #2: [5, 23, 3] from Operation: 81-78=3
Current State: 54:[5, 23, 3], Operations: ['81-78=3']
Exploring Operation: 23-5=18, Resulting Numbers: [3, 18]
Generated Node #3: [3, 18] from Operation: 23-5=18
Current State: 54:[3, 18], Operations: ['81-78=3', '23-5=18']
Exploring Operation: 3*18=54, Resulting Numbers: [54]
54,54 equal: Goal Reached
| 4 |
[
39,
35,
59,
55
] | 78 | [
"39+35=74",
"59-55=4",
"74+4=78"
] | Current State: 78:[39, 35, 59, 55], Operations: []
Exploring Operation: 39+35=74, Resulting Numbers: [59, 55, 74]
Generated Node #2: [59, 55, 74] from Operation: 39+35=74
Current State: 78:[59, 55, 74], Operations: ['39+35=74']
Exploring Operation: 59-55=4, Resulting Numbers: [74, 4]
Generated Node #3: [74, 4] from Operation: 59-55=4
Current State: 78:[74, 4], Operations: ['39+35=74', '59-55=4']
Exploring Operation: 74+4=78, Resulting Numbers: [78]
78,78 equal: Goal Reached
| 4 |
[
30,
47,
3,
9
] | 11 | [
"47-30=17",
"9-3=6",
"17-6=11"
] | Current State: 11:[30, 47, 3, 9], Operations: []
Exploring Operation: 47-30=17, Resulting Numbers: [3, 9, 17]
Generated Node #2: [3, 9, 17] from Operation: 47-30=17
Current State: 11:[3, 9, 17], Operations: ['47-30=17']
Exploring Operation: 9-3=6, Resulting Numbers: [17, 6]
Generated Node #3: [17, 6] from Operation: 9-3=6
Current State: 11:[17, 6], Operations: ['47-30=17', '9-3=6']
Exploring Operation: 17-6=11, Resulting Numbers: [11]
11,11 equal: Goal Reached
| 4 |
[
99,
53,
53,
70
] | 63 | [
"99-53=46",
"70-53=17",
"46+17=63"
] | Current State: 63:[99, 53, 53, 70], Operations: []
Exploring Operation: 99-53=46, Resulting Numbers: [70, 46]
Generated Node #2: [70, 46] from Operation: 99-53=46
Current State: 63:[70, 46], Operations: ['99-53=46']
Exploring Operation: 70-53=17, Resulting Numbers: [46, 17]
Generated Node #3: [46, 17] from Operation: 70-53=17
Current State: 63:[46, 17], Operations: ['99-53=46', '70-53=17']
Exploring Operation: 46+17=63, Resulting Numbers: [63]
63,63 equal: Goal Reached
| 4 |
[
7,
39,
99,
2
] | 75 | [
"7*39=273",
"99*2=198",
"273-198=75"
] | Current State: 75:[7, 39, 99, 2], Operations: []
Exploring Operation: 7*39=273, Resulting Numbers: [99, 2, 273]
Generated Node #2: [99, 2, 273] from Operation: 7*39=273
Current State: 75:[99, 2, 273], Operations: ['7*39=273']
Exploring Operation: 99*2=198, Resulting Numbers: [273, 198]
Generated Node #3: [273, 198] from Operation: 99*2=198
Current State: 75:[273, 198], Operations: ['7*39=273', '99*2=198']
Exploring Operation: 273-198=75, Resulting Numbers: [75]
75,75 equal: Goal Reached
| 4 |
[
63,
3,
83,
29
] | 67 | [
"83-63=20",
"3*29=87",
"87-20=67"
] | Current State: 67:[63, 3, 83, 29], Operations: []
Exploring Operation: 83-63=20, Resulting Numbers: [3, 29, 20]
Generated Node #2: [3, 29, 20] from Operation: 83-63=20
Current State: 67:[3, 29, 20], Operations: ['83-63=20']
Exploring Operation: 3*29=87, Resulting Numbers: [20, 87]
Generated Node #3: [20, 87] from Operation: 3*29=87
Current State: 67:[20, 87], Operations: ['83-63=20', '3*29=87']
Exploring Operation: 87-20=67, Resulting Numbers: [67]
67,67 equal: Goal Reached
| 4 |
[
36,
72,
80,
33
] | 45 | [
"72/36=2",
"80-33=47",
"47-2=45"
] | Current State: 45:[36, 72, 80, 33], Operations: []
Exploring Operation: 72/36=2, Resulting Numbers: [80, 33, 2]
Generated Node #2: [80, 33, 2] from Operation: 72/36=2
Current State: 45:[80, 33, 2], Operations: ['72/36=2']
Exploring Operation: 80-33=47, Resulting Numbers: [2, 47]
Generated Node #3: [2, 47] from Operation: 80-33=47
Current State: 45:[2, 47], Operations: ['72/36=2', '80-33=47']
Exploring Operation: 47-2=45, Resulting Numbers: [45]
45,45 equal: Goal Reached
| 4 |
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