nums listlengths 4 4 | target int64 10 100 | solution listlengths 3 3 | optimal_path stringlengths 282 529 | start_size int64 4 4 |
|---|---|---|---|---|
[
64,
60,
21,
36
] | 51 | [
"64+21=85",
"36*85=3060",
"3060/60=51"
] | Current State: 51:[64, 60, 21, 36], Operations: []
Exploring Operation: 64+21=85, Resulting Numbers: [60, 36, 85]
Generated Node #2: [60, 36, 85] from Operation: 64+21=85
Current State: 51:[60, 36, 85], Operations: ['64+21=85']
Exploring Operation: 36*85=3060, Resulting Numbers: [60, 3060]
Generated Node #3: [60, 3060] from Operation: 36*85=3060
Current State: 51:[60, 3060], Operations: ['64+21=85', '36*85=3060']
Exploring Operation: 3060/60=51, Resulting Numbers: [51]
51,51 equal: Goal Reached
| 4 |
[
90,
70,
38,
44
] | 26 | [
"90-70=20",
"44-38=6",
"20+6=26"
] | Current State: 26:[90, 70, 38, 44], Operations: []
Exploring Operation: 90-70=20, Resulting Numbers: [38, 44, 20]
Generated Node #2: [38, 44, 20] from Operation: 90-70=20
Current State: 26:[38, 44, 20], Operations: ['90-70=20']
Exploring Operation: 44-38=6, Resulting Numbers: [20, 6]
Generated Node #3: [20, 6] from Operation: 44-38=6
Current State: 26:[20, 6], Operations: ['90-70=20', '44-38=6']
Exploring Operation: 20+6=26, Resulting Numbers: [26]
26,26 equal: Goal Reached
| 4 |
[
5,
96,
34,
12
] | 86 | [
"5*34=170",
"96-12=84",
"170-84=86"
] | Current State: 86:[5, 96, 34, 12], Operations: []
Exploring Operation: 5*34=170, Resulting Numbers: [96, 12, 170]
Generated Node #2: [96, 12, 170] from Operation: 5*34=170
Current State: 86:[96, 12, 170], Operations: ['5*34=170']
Exploring Operation: 96-12=84, Resulting Numbers: [170, 84]
Generated Node #3: [170, 84] from Operation: 96-12=84
Current State: 86:[170, 84], Operations: ['5*34=170', '96-12=84']
Exploring Operation: 170-84=86, Resulting Numbers: [86]
86,86 equal: Goal Reached
| 4 |
[
60,
73,
71,
41
] | 38 | [
"60-41=19",
"73-71=2",
"19*2=38"
] | Current State: 38:[60, 73, 71, 41], Operations: []
Exploring Operation: 60-41=19, Resulting Numbers: [73, 71, 19]
Generated Node #2: [73, 71, 19] from Operation: 60-41=19
Current State: 38:[73, 71, 19], Operations: ['60-41=19']
Exploring Operation: 73-71=2, Resulting Numbers: [19, 2]
Generated Node #3: [19, 2] from Operation: 73-71=2
Current State: 38:[19, 2], Operations: ['60-41=19', '73-71=2']
Exploring Operation: 19*2=38, Resulting Numbers: [38]
38,38 equal: Goal Reached
| 4 |
[
87,
43,
21,
26
] | 49 | [
"87-43=44",
"26-21=5",
"44+5=49"
] | Current State: 49:[87, 43, 21, 26], Operations: []
Exploring Operation: 87-43=44, Resulting Numbers: [21, 26, 44]
Generated Node #2: [21, 26, 44] from Operation: 87-43=44
Current State: 49:[21, 26, 44], Operations: ['87-43=44']
Exploring Operation: 26-21=5, Resulting Numbers: [44, 5]
Generated Node #3: [44, 5] from Operation: 26-21=5
Current State: 49:[44, 5], Operations: ['87-43=44', '26-21=5']
Exploring Operation: 44+5=49, Resulting Numbers: [49]
49,49 equal: Goal Reached
| 4 |
[
40,
63,
33,
42
] | 28 | [
"40+63=103",
"33+42=75",
"103-75=28"
] | Current State: 28:[40, 63, 33, 42], Operations: []
Exploring Operation: 40+63=103, Resulting Numbers: [33, 42, 103]
Generated Node #2: [33, 42, 103] from Operation: 40+63=103
Current State: 28:[33, 42, 103], Operations: ['40+63=103']
Exploring Operation: 33+42=75, Resulting Numbers: [103, 75]
Generated Node #3: [103, 75] from Operation: 33+42=75
Current State: 28:[103, 75], Operations: ['40+63=103', '33+42=75']
Exploring Operation: 103-75=28, Resulting Numbers: [28]
28,28 equal: Goal Reached
| 4 |
[
64,
52,
53,
61
] | 60 | [
"61-53=8",
"64/8=8",
"52+8=60"
] | Current State: 60:[64, 52, 53, 61], Operations: []
Exploring Operation: 61-53=8, Resulting Numbers: [64, 52, 8]
Generated Node #2: [64, 52, 8] from Operation: 61-53=8
Current State: 60:[64, 52, 8], Operations: ['61-53=8']
Exploring Operation: 64/8=8, Resulting Numbers: [52, 8]
Generated Node #3: [52, 8] from Operation: 64/8=8
Current State: 60:[52, 8], Operations: ['61-53=8', '64/8=8']
Exploring Operation: 52+8=60, Resulting Numbers: [60]
60,60 equal: Goal Reached
| 4 |
[
22,
72,
99,
3
] | 51 | [
"72-22=50",
"3*50=150",
"150-99=51"
] | Current State: 51:[22, 72, 99, 3], Operations: []
Exploring Operation: 72-22=50, Resulting Numbers: [99, 3, 50]
Generated Node #2: [99, 3, 50] from Operation: 72-22=50
Current State: 51:[99, 3, 50], Operations: ['72-22=50']
Exploring Operation: 3*50=150, Resulting Numbers: [99, 150]
Generated Node #3: [99, 150] from Operation: 3*50=150
Current State: 51:[99, 150], Operations: ['72-22=50', '3*50=150']
Exploring Operation: 150-99=51, Resulting Numbers: [51]
51,51 equal: Goal Reached
| 4 |
[
26,
78,
4,
17
] | 39 | [
"78-26=52",
"17-4=13",
"52-13=39"
] | Current State: 39:[26, 78, 4, 17], Operations: []
Exploring Operation: 78-26=52, Resulting Numbers: [4, 17, 52]
Generated Node #2: [4, 17, 52] from Operation: 78-26=52
Current State: 39:[4, 17, 52], Operations: ['78-26=52']
Exploring Operation: 17-4=13, Resulting Numbers: [52, 13]
Generated Node #3: [52, 13] from Operation: 17-4=13
Current State: 39:[52, 13], Operations: ['78-26=52', '17-4=13']
Exploring Operation: 52-13=39, Resulting Numbers: [39]
39,39 equal: Goal Reached
| 4 |
[
92,
34,
82,
73
] | 14 | [
"92+34=126",
"82-73=9",
"126/9=14"
] | Current State: 14:[92, 34, 82, 73], Operations: []
Exploring Operation: 92+34=126, Resulting Numbers: [82, 73, 126]
Generated Node #2: [82, 73, 126] from Operation: 92+34=126
Current State: 14:[82, 73, 126], Operations: ['92+34=126']
Exploring Operation: 82-73=9, Resulting Numbers: [126, 9]
Generated Node #3: [126, 9] from Operation: 82-73=9
Current State: 14:[126, 9], Operations: ['92+34=126', '82-73=9']
Exploring Operation: 126/9=14, Resulting Numbers: [14]
14,14 equal: Goal Reached
| 4 |
[
68,
80,
2,
21
] | 98 | [
"68+21=89",
"2*89=178",
"178-80=98"
] | Current State: 98:[68, 80, 2, 21], Operations: []
Exploring Operation: 68+21=89, Resulting Numbers: [80, 2, 89]
Generated Node #2: [80, 2, 89] from Operation: 68+21=89
Current State: 98:[80, 2, 89], Operations: ['68+21=89']
Exploring Operation: 2*89=178, Resulting Numbers: [80, 178]
Generated Node #3: [80, 178] from Operation: 2*89=178
Current State: 98:[80, 178], Operations: ['68+21=89', '2*89=178']
Exploring Operation: 178-80=98, Resulting Numbers: [98]
98,98 equal: Goal Reached
| 4 |
[
30,
26,
52,
44
] | 29 | [
"30*26=780",
"780/52=15",
"44-15=29"
] | Current State: 29:[30, 26, 52, 44], Operations: []
Exploring Operation: 30*26=780, Resulting Numbers: [52, 44, 780]
Generated Node #2: [52, 44, 780] from Operation: 30*26=780
Current State: 29:[52, 44, 780], Operations: ['30*26=780']
Exploring Operation: 780/52=15, Resulting Numbers: [44, 15]
Generated Node #3: [44, 15] from Operation: 780/52=15
Current State: 29:[44, 15], Operations: ['30*26=780', '780/52=15']
Exploring Operation: 44-15=29, Resulting Numbers: [29]
29,29 equal: Goal Reached
| 4 |
[
94,
41,
59,
16
] | 60 | [
"94+41=135",
"59+16=75",
"135-75=60"
] | Current State: 60:[94, 41, 59, 16], Operations: []
Exploring Operation: 94+41=135, Resulting Numbers: [59, 16, 135]
Generated Node #2: [59, 16, 135] from Operation: 94+41=135
Current State: 60:[59, 16, 135], Operations: ['94+41=135']
Exploring Operation: 59+16=75, Resulting Numbers: [135, 75]
Generated Node #3: [135, 75] from Operation: 59+16=75
Current State: 60:[135, 75], Operations: ['94+41=135', '59+16=75']
Exploring Operation: 135-75=60, Resulting Numbers: [60]
60,60 equal: Goal Reached
| 4 |
[
37,
14,
26,
13
] | 10 | [
"37-14=23",
"26-13=13",
"23-13=10"
] | Current State: 10:[37, 14, 26, 13], Operations: []
Exploring Operation: 37-14=23, Resulting Numbers: [26, 13, 23]
Generated Node #2: [26, 13, 23] from Operation: 37-14=23
Current State: 10:[26, 13, 23], Operations: ['37-14=23']
Exploring Operation: 26-13=13, Resulting Numbers: [23, 13]
Generated Node #3: [23, 13] from Operation: 26-13=13
Current State: 10:[23, 13], Operations: ['37-14=23', '26-13=13']
Exploring Operation: 23-13=10, Resulting Numbers: [10]
10,10 equal: Goal Reached
| 4 |
[
88,
26,
50,
52
] | 70 | [
"52-50=2",
"88/2=44",
"26+44=70"
] | Current State: 70:[88, 26, 50, 52], Operations: []
Exploring Operation: 52-50=2, Resulting Numbers: [88, 26, 2]
Generated Node #2: [88, 26, 2] from Operation: 52-50=2
Current State: 70:[88, 26, 2], Operations: ['52-50=2']
Exploring Operation: 88/2=44, Resulting Numbers: [26, 44]
Generated Node #3: [26, 44] from Operation: 88/2=44
Current State: 70:[26, 44], Operations: ['52-50=2', '88/2=44']
Exploring Operation: 26+44=70, Resulting Numbers: [70]
70,70 equal: Goal Reached
| 4 |
[
18,
66,
70,
36
] | 82 | [
"66-18=48",
"70-36=34",
"48+34=82"
] | Current State: 82:[18, 66, 70, 36], Operations: []
Exploring Operation: 66-18=48, Resulting Numbers: [70, 36, 48]
Generated Node #2: [70, 36, 48] from Operation: 66-18=48
Current State: 82:[70, 36, 48], Operations: ['66-18=48']
Exploring Operation: 70-36=34, Resulting Numbers: [48, 34]
Generated Node #3: [48, 34] from Operation: 70-36=34
Current State: 82:[48, 34], Operations: ['66-18=48', '70-36=34']
Exploring Operation: 48+34=82, Resulting Numbers: [82]
82,82 equal: Goal Reached
| 4 |
[
85,
56,
14,
3
] | 73 | [
"85-56=29",
"3*29=87",
"87-14=73"
] | Current State: 73:[85, 56, 14, 3], Operations: []
Exploring Operation: 85-56=29, Resulting Numbers: [14, 3, 29]
Generated Node #2: [14, 3, 29] from Operation: 85-56=29
Current State: 73:[14, 3, 29], Operations: ['85-56=29']
Exploring Operation: 3*29=87, Resulting Numbers: [14, 87]
Generated Node #3: [14, 87] from Operation: 3*29=87
Current State: 73:[14, 87], Operations: ['85-56=29', '3*29=87']
Exploring Operation: 87-14=73, Resulting Numbers: [73]
73,73 equal: Goal Reached
| 4 |
[
87,
12,
67,
81
] | 11 | [
"12*67=804",
"87+804=891",
"891/81=11"
] | Current State: 11:[87, 12, 67, 81], Operations: []
Exploring Operation: 12*67=804, Resulting Numbers: [87, 81, 804]
Generated Node #2: [87, 81, 804] from Operation: 12*67=804
Current State: 11:[87, 81, 804], Operations: ['12*67=804']
Exploring Operation: 87+804=891, Resulting Numbers: [81, 891]
Generated Node #3: [81, 891] from Operation: 87+804=891
Current State: 11:[81, 891], Operations: ['12*67=804', '87+804=891']
Exploring Operation: 891/81=11, Resulting Numbers: [11]
11,11 equal: Goal Reached
| 4 |
[
9,
67,
82,
61
] | 74 | [
"82-67=15",
"9*15=135",
"135-61=74"
] | Current State: 74:[9, 67, 82, 61], Operations: []
Exploring Operation: 82-67=15, Resulting Numbers: [9, 61, 15]
Generated Node #2: [9, 61, 15] from Operation: 82-67=15
Current State: 74:[9, 61, 15], Operations: ['82-67=15']
Exploring Operation: 9*15=135, Resulting Numbers: [61, 135]
Generated Node #3: [61, 135] from Operation: 9*15=135
Current State: 74:[61, 135], Operations: ['82-67=15', '9*15=135']
Exploring Operation: 135-61=74, Resulting Numbers: [74]
74,74 equal: Goal Reached
| 4 |
[
1,
27,
30,
5
] | 78 | [
"5-1=4",
"27*4=108",
"108-30=78"
] | Current State: 78:[1, 27, 30, 5], Operations: []
Exploring Operation: 5-1=4, Resulting Numbers: [27, 30, 4]
Generated Node #2: [27, 30, 4] from Operation: 5-1=4
Current State: 78:[27, 30, 4], Operations: ['5-1=4']
Exploring Operation: 27*4=108, Resulting Numbers: [30, 108]
Generated Node #3: [30, 108] from Operation: 27*4=108
Current State: 78:[30, 108], Operations: ['5-1=4', '27*4=108']
Exploring Operation: 108-30=78, Resulting Numbers: [78]
78,78 equal: Goal Reached
| 4 |
[
83,
43,
77,
23
] | 26 | [
"83+43=126",
"77+23=100",
"126-100=26"
] | Current State: 26:[83, 43, 77, 23], Operations: []
Exploring Operation: 83+43=126, Resulting Numbers: [77, 23, 126]
Generated Node #2: [77, 23, 126] from Operation: 83+43=126
Current State: 26:[77, 23, 126], Operations: ['83+43=126']
Exploring Operation: 77+23=100, Resulting Numbers: [126, 100]
Generated Node #3: [126, 100] from Operation: 77+23=100
Current State: 26:[126, 100], Operations: ['83+43=126', '77+23=100']
Exploring Operation: 126-100=26, Resulting Numbers: [26]
26,26 equal: Goal Reached
| 4 |
[
49,
6,
8,
75
] | 51 | [
"8*75=600",
"600/6=100",
"100-49=51"
] | Current State: 51:[49, 6, 8, 75], Operations: []
Exploring Operation: 8*75=600, Resulting Numbers: [49, 6, 600]
Generated Node #2: [49, 6, 600] from Operation: 8*75=600
Current State: 51:[49, 6, 600], Operations: ['8*75=600']
Exploring Operation: 600/6=100, Resulting Numbers: [49, 100]
Generated Node #3: [49, 100] from Operation: 600/6=100
Current State: 51:[49, 100], Operations: ['8*75=600', '600/6=100']
Exploring Operation: 100-49=51, Resulting Numbers: [51]
51,51 equal: Goal Reached
| 4 |
[
92,
43,
58,
59
] | 68 | [
"92-43=49",
"58+59=117",
"117-49=68"
] | Current State: 68:[92, 43, 58, 59], Operations: []
Exploring Operation: 92-43=49, Resulting Numbers: [58, 59, 49]
Generated Node #2: [58, 59, 49] from Operation: 92-43=49
Current State: 68:[58, 59, 49], Operations: ['92-43=49']
Exploring Operation: 58+59=117, Resulting Numbers: [49, 117]
Generated Node #3: [49, 117] from Operation: 58+59=117
Current State: 68:[49, 117], Operations: ['92-43=49', '58+59=117']
Exploring Operation: 117-49=68, Resulting Numbers: [68]
68,68 equal: Goal Reached
| 4 |
[
66,
16,
58,
77
] | 53 | [
"66+16=82",
"58+77=135",
"135-82=53"
] | Current State: 53:[66, 16, 58, 77], Operations: []
Exploring Operation: 66+16=82, Resulting Numbers: [58, 77, 82]
Generated Node #2: [58, 77, 82] from Operation: 66+16=82
Current State: 53:[58, 77, 82], Operations: ['66+16=82']
Exploring Operation: 58+77=135, Resulting Numbers: [82, 135]
Generated Node #3: [82, 135] from Operation: 58+77=135
Current State: 53:[82, 135], Operations: ['66+16=82', '58+77=135']
Exploring Operation: 135-82=53, Resulting Numbers: [53]
53,53 equal: Goal Reached
| 4 |
[
11,
34,
47,
55
] | 18 | [
"55/11=5",
"47-34=13",
"5+13=18"
] | Current State: 18:[11, 34, 47, 55], Operations: []
Exploring Operation: 55/11=5, Resulting Numbers: [34, 47, 5]
Generated Node #2: [34, 47, 5] from Operation: 55/11=5
Current State: 18:[34, 47, 5], Operations: ['55/11=5']
Exploring Operation: 47-34=13, Resulting Numbers: [5, 13]
Generated Node #3: [5, 13] from Operation: 47-34=13
Current State: 18:[5, 13], Operations: ['55/11=5', '47-34=13']
Exploring Operation: 5+13=18, Resulting Numbers: [18]
18,18 equal: Goal Reached
| 4 |
[
23,
56,
46,
40
] | 68 | [
"23*56=1288",
"1288/46=28",
"40+28=68"
] | Current State: 68:[23, 56, 46, 40], Operations: []
Exploring Operation: 23*56=1288, Resulting Numbers: [46, 40, 1288]
Generated Node #2: [46, 40, 1288] from Operation: 23*56=1288
Current State: 68:[46, 40, 1288], Operations: ['23*56=1288']
Exploring Operation: 1288/46=28, Resulting Numbers: [40, 28]
Generated Node #3: [40, 28] from Operation: 1288/46=28
Current State: 68:[40, 28], Operations: ['23*56=1288', '1288/46=28']
Exploring Operation: 40+28=68, Resulting Numbers: [68]
68,68 equal: Goal Reached
| 4 |
[
68,
65,
61,
61
] | 78 | [
"65-61=4",
"68/4=17",
"61+17=78"
] | Current State: 78:[68, 65, 61, 61], Operations: []
Exploring Operation: 65-61=4, Resulting Numbers: [68, 4]
Generated Node #2: [68, 4] from Operation: 65-61=4
Current State: 78:[68, 4], Operations: ['65-61=4']
Exploring Operation: 68/4=17, Resulting Numbers: [17]
17,78 equal: Goal Reached
Exploring Operation: 61+17=78, Resulting Numbers: [78]
78,78 equal: Goal Reached
| 4 |
[
1,
42,
74,
71
] | 39 | [
"1*42=42",
"74-71=3",
"42-3=39"
] | Current State: 39:[1, 42, 74, 71], Operations: []
Exploring Operation: 1*42=42, Resulting Numbers: [74, 71, 42]
Generated Node #2: [74, 71, 42] from Operation: 1*42=42
Current State: 39:[74, 71, 42], Operations: ['1*42=42']
Exploring Operation: 74-71=3, Resulting Numbers: [42, 3]
Generated Node #3: [42, 3] from Operation: 74-71=3
Current State: 39:[42, 3], Operations: ['1*42=42', '74-71=3']
Exploring Operation: 42-3=39, Resulting Numbers: [39]
39,39 equal: Goal Reached
| 4 |
[
14,
25,
71,
6
] | 40 | [
"14*71=994",
"6+994=1000",
"1000/25=40"
] | Current State: 40:[14, 25, 71, 6], Operations: []
Exploring Operation: 14*71=994, Resulting Numbers: [25, 6, 994]
Generated Node #2: [25, 6, 994] from Operation: 14*71=994
Current State: 40:[25, 6, 994], Operations: ['14*71=994']
Exploring Operation: 6+994=1000, Resulting Numbers: [25, 1000]
Generated Node #3: [25, 1000] from Operation: 6+994=1000
Current State: 40:[25, 1000], Operations: ['14*71=994', '6+994=1000']
Exploring Operation: 1000/25=40, Resulting Numbers: [40]
40,40 equal: Goal Reached
| 4 |
[
96,
40,
30,
84
] | 22 | [
"96+40=136",
"30+84=114",
"136-114=22"
] | Current State: 22:[96, 40, 30, 84], Operations: []
Exploring Operation: 96+40=136, Resulting Numbers: [30, 84, 136]
Generated Node #2: [30, 84, 136] from Operation: 96+40=136
Current State: 22:[30, 84, 136], Operations: ['96+40=136']
Exploring Operation: 30+84=114, Resulting Numbers: [136, 114]
Generated Node #3: [136, 114] from Operation: 30+84=114
Current State: 22:[136, 114], Operations: ['96+40=136', '30+84=114']
Exploring Operation: 136-114=22, Resulting Numbers: [22]
22,22 equal: Goal Reached
| 4 |
[
47,
27,
85,
58
] | 46 | [
"85-27=58",
"58/58=1",
"47-1=46"
] | Current State: 46:[47, 27, 85, 58], Operations: []
Exploring Operation: 85-27=58, Resulting Numbers: [47, 58, 58]
Generated Node #2: [47, 58, 58] from Operation: 85-27=58
Current State: 46:[47, 58, 58], Operations: ['85-27=58']
Exploring Operation: 58/58=1, Resulting Numbers: [47, 1]
Generated Node #3: [47, 1] from Operation: 58/58=1
Current State: 46:[47, 1], Operations: ['85-27=58', '58/58=1']
Exploring Operation: 47-1=46, Resulting Numbers: [46]
46,46 equal: Goal Reached
| 4 |
[
10,
97,
28,
4
] | 85 | [
"10*4=40",
"97+28=125",
"125-40=85"
] | Current State: 85:[10, 97, 28, 4], Operations: []
Exploring Operation: 10*4=40, Resulting Numbers: [97, 28, 40]
Generated Node #2: [97, 28, 40] from Operation: 10*4=40
Current State: 85:[97, 28, 40], Operations: ['10*4=40']
Exploring Operation: 97+28=125, Resulting Numbers: [40, 125]
Generated Node #3: [40, 125] from Operation: 97+28=125
Current State: 85:[40, 125], Operations: ['10*4=40', '97+28=125']
Exploring Operation: 125-40=85, Resulting Numbers: [85]
85,85 equal: Goal Reached
| 4 |
[
66,
3,
72,
87
] | 37 | [
"66/3=22",
"87-72=15",
"22+15=37"
] | Current State: 37:[66, 3, 72, 87], Operations: []
Exploring Operation: 66/3=22, Resulting Numbers: [72, 87, 22]
Generated Node #2: [72, 87, 22] from Operation: 66/3=22
Current State: 37:[72, 87, 22], Operations: ['66/3=22']
Exploring Operation: 87-72=15, Resulting Numbers: [22, 15]
Generated Node #3: [22, 15] from Operation: 87-72=15
Current State: 37:[22, 15], Operations: ['66/3=22', '87-72=15']
Exploring Operation: 22+15=37, Resulting Numbers: [37]
37,37 equal: Goal Reached
| 4 |
[
61,
28,
77,
81
] | 68 | [
"81-77=4",
"28/4=7",
"61+7=68"
] | Current State: 68:[61, 28, 77, 81], Operations: []
Exploring Operation: 81-77=4, Resulting Numbers: [61, 28, 4]
Generated Node #2: [61, 28, 4] from Operation: 81-77=4
Current State: 68:[61, 28, 4], Operations: ['81-77=4']
Exploring Operation: 28/4=7, Resulting Numbers: [61, 7]
Generated Node #3: [61, 7] from Operation: 28/4=7
Current State: 68:[61, 7], Operations: ['81-77=4', '28/4=7']
Exploring Operation: 61+7=68, Resulting Numbers: [68]
68,68 equal: Goal Reached
| 4 |
[
96,
73,
64,
6
] | 77 | [
"96/6=16",
"64/16=4",
"73+4=77"
] | Current State: 77:[96, 73, 64, 6], Operations: []
Exploring Operation: 96/6=16, Resulting Numbers: [73, 64, 16]
Generated Node #2: [73, 64, 16] from Operation: 96/6=16
Current State: 77:[73, 64, 16], Operations: ['96/6=16']
Exploring Operation: 64/16=4, Resulting Numbers: [73, 4]
Generated Node #3: [73, 4] from Operation: 64/16=4
Current State: 77:[73, 4], Operations: ['96/6=16', '64/16=4']
Exploring Operation: 73+4=77, Resulting Numbers: [77]
77,77 equal: Goal Reached
| 4 |
[
3,
83,
77,
51
] | 97 | [
"3*77=231",
"83+51=134",
"231-134=97"
] | Current State: 97:[3, 83, 77, 51], Operations: []
Exploring Operation: 3*77=231, Resulting Numbers: [83, 51, 231]
Generated Node #2: [83, 51, 231] from Operation: 3*77=231
Current State: 97:[83, 51, 231], Operations: ['3*77=231']
Exploring Operation: 83+51=134, Resulting Numbers: [231, 134]
Generated Node #3: [231, 134] from Operation: 83+51=134
Current State: 97:[231, 134], Operations: ['3*77=231', '83+51=134']
Exploring Operation: 231-134=97, Resulting Numbers: [97]
97,97 equal: Goal Reached
| 4 |
[
67,
30,
20,
67
] | 30 | [
"67-67=0",
"20*0=0",
"30+0=30"
] | Current State: 30:[67, 30, 20, 67], Operations: []
Exploring Operation: 67-67=0, Resulting Numbers: [30, 20, 0]
Generated Node #2: [30, 20, 0] from Operation: 67-67=0
Current State: 30:[30, 20, 0], Operations: ['67-67=0']
Exploring Operation: 20*0=0, Resulting Numbers: [30, 0]
Generated Node #3: [30, 0] from Operation: 20*0=0
Current State: 30:[30, 0], Operations: ['67-67=0', '20*0=0']
Exploring Operation: 30+0=30, Resulting Numbers: [30]
30,30 equal: Goal Reached
| 4 |
[
88,
55,
22,
10
] | 29 | [
"55*10=550",
"88+550=638",
"638/22=29"
] | Current State: 29:[88, 55, 22, 10], Operations: []
Exploring Operation: 55*10=550, Resulting Numbers: [88, 22, 550]
Generated Node #2: [88, 22, 550] from Operation: 55*10=550
Current State: 29:[88, 22, 550], Operations: ['55*10=550']
Exploring Operation: 88+550=638, Resulting Numbers: [22, 638]
Generated Node #3: [22, 638] from Operation: 88+550=638
Current State: 29:[22, 638], Operations: ['55*10=550', '88+550=638']
Exploring Operation: 638/22=29, Resulting Numbers: [29]
29,29 equal: Goal Reached
| 4 |
[
7,
88,
89,
88
] | 89 | [
"88-88=0",
"7*0=0",
"89+0=89"
] | Current State: 89:[7, 88, 89, 88], Operations: []
Exploring Operation: 88-88=0, Resulting Numbers: [7, 89, 0]
Generated Node #2: [7, 89, 0] from Operation: 88-88=0
Current State: 89:[7, 89, 0], Operations: ['88-88=0']
Exploring Operation: 7*0=0, Resulting Numbers: [89, 0]
Generated Node #3: [89, 0] from Operation: 7*0=0
Current State: 89:[89, 0], Operations: ['88-88=0', '7*0=0']
Exploring Operation: 89+0=89, Resulting Numbers: [89]
89,89 equal: Goal Reached
| 4 |
[
55,
81,
58,
13
] | 56 | [
"81-55=26",
"26/13=2",
"58-2=56"
] | Current State: 56:[55, 81, 58, 13], Operations: []
Exploring Operation: 81-55=26, Resulting Numbers: [58, 13, 26]
Generated Node #2: [58, 13, 26] from Operation: 81-55=26
Current State: 56:[58, 13, 26], Operations: ['81-55=26']
Exploring Operation: 26/13=2, Resulting Numbers: [58, 2]
Generated Node #3: [58, 2] from Operation: 26/13=2
Current State: 56:[58, 2], Operations: ['81-55=26', '26/13=2']
Exploring Operation: 58-2=56, Resulting Numbers: [56]
56,56 equal: Goal Reached
| 4 |
[
15,
36,
16,
18
] | 42 | [
"36-15=21",
"18-16=2",
"21*2=42"
] | Current State: 42:[15, 36, 16, 18], Operations: []
Exploring Operation: 36-15=21, Resulting Numbers: [16, 18, 21]
Generated Node #2: [16, 18, 21] from Operation: 36-15=21
Current State: 42:[16, 18, 21], Operations: ['36-15=21']
Exploring Operation: 18-16=2, Resulting Numbers: [21, 2]
Generated Node #3: [21, 2] from Operation: 18-16=2
Current State: 42:[21, 2], Operations: ['36-15=21', '18-16=2']
Exploring Operation: 21*2=42, Resulting Numbers: [42]
42,42 equal: Goal Reached
| 4 |
[
92,
50,
97,
39
] | 55 | [
"97-92=5",
"50-39=11",
"5*11=55"
] | Current State: 55:[92, 50, 97, 39], Operations: []
Exploring Operation: 97-92=5, Resulting Numbers: [50, 39, 5]
Generated Node #2: [50, 39, 5] from Operation: 97-92=5
Current State: 55:[50, 39, 5], Operations: ['97-92=5']
Exploring Operation: 50-39=11, Resulting Numbers: [5, 11]
Generated Node #3: [5, 11] from Operation: 50-39=11
Current State: 55:[5, 11], Operations: ['97-92=5', '50-39=11']
Exploring Operation: 5*11=55, Resulting Numbers: [55]
55,55 equal: Goal Reached
| 4 |
[
35,
55,
8,
50
] | 11 | [
"55+50=105",
"105/35=3",
"8+3=11"
] | Current State: 11:[35, 55, 8, 50], Operations: []
Exploring Operation: 55+50=105, Resulting Numbers: [35, 8, 105]
Generated Node #2: [35, 8, 105] from Operation: 55+50=105
Current State: 11:[35, 8, 105], Operations: ['55+50=105']
Exploring Operation: 105/35=3, Resulting Numbers: [8, 3]
Generated Node #3: [8, 3] from Operation: 105/35=3
Current State: 11:[8, 3], Operations: ['55+50=105', '105/35=3']
Exploring Operation: 8+3=11, Resulting Numbers: [11]
11,11 equal: Goal Reached
| 4 |
[
3,
39,
32,
38
] | 35 | [
"3+32=35",
"39-38=1",
"35*1=35"
] | Current State: 35:[3, 39, 32, 38], Operations: []
Exploring Operation: 3+32=35, Resulting Numbers: [39, 38, 35]
Generated Node #2: [39, 38, 35] from Operation: 3+32=35
Current State: 35:[39, 38, 35], Operations: ['3+32=35']
Exploring Operation: 39-38=1, Resulting Numbers: [35, 1]
Generated Node #3: [35, 1] from Operation: 39-38=1
Current State: 35:[35, 1], Operations: ['3+32=35', '39-38=1']
Exploring Operation: 35*1=35, Resulting Numbers: [35]
35,35 equal: Goal Reached
| 4 |
[
7,
88,
16,
50
] | 29 | [
"7+88=95",
"16+50=66",
"95-66=29"
] | Current State: 29:[7, 88, 16, 50], Operations: []
Exploring Operation: 7+88=95, Resulting Numbers: [16, 50, 95]
Generated Node #2: [16, 50, 95] from Operation: 7+88=95
Current State: 29:[16, 50, 95], Operations: ['7+88=95']
Exploring Operation: 16+50=66, Resulting Numbers: [95, 66]
Generated Node #3: [95, 66] from Operation: 16+50=66
Current State: 29:[95, 66], Operations: ['7+88=95', '16+50=66']
Exploring Operation: 95-66=29, Resulting Numbers: [29]
29,29 equal: Goal Reached
| 4 |
[
69,
59,
7,
35
] | 86 | [
"69+59=128",
"7+35=42",
"128-42=86"
] | Current State: 86:[69, 59, 7, 35], Operations: []
Exploring Operation: 69+59=128, Resulting Numbers: [7, 35, 128]
Generated Node #2: [7, 35, 128] from Operation: 69+59=128
Current State: 86:[7, 35, 128], Operations: ['69+59=128']
Exploring Operation: 7+35=42, Resulting Numbers: [128, 42]
Generated Node #3: [128, 42] from Operation: 7+35=42
Current State: 86:[128, 42], Operations: ['69+59=128', '7+35=42']
Exploring Operation: 128-42=86, Resulting Numbers: [86]
86,86 equal: Goal Reached
| 4 |
[
59,
4,
10,
82
] | 82 | [
"82-59=23",
"4*23=92",
"92-10=82"
] | Current State: 82:[59, 4, 10, 82], Operations: []
Exploring Operation: 82-59=23, Resulting Numbers: [4, 10, 23]
Generated Node #2: [4, 10, 23] from Operation: 82-59=23
Current State: 82:[4, 10, 23], Operations: ['82-59=23']
Exploring Operation: 4*23=92, Resulting Numbers: [10, 92]
Generated Node #3: [10, 92] from Operation: 4*23=92
Current State: 82:[10, 92], Operations: ['82-59=23', '4*23=92']
Exploring Operation: 92-10=82, Resulting Numbers: [82]
82,82 equal: Goal Reached
| 4 |
[
62,
69,
55,
5
] | 81 | [
"62+69=131",
"55-5=50",
"131-50=81"
] | Current State: 81:[62, 69, 55, 5], Operations: []
Exploring Operation: 62+69=131, Resulting Numbers: [55, 5, 131]
Generated Node #2: [55, 5, 131] from Operation: 62+69=131
Current State: 81:[55, 5, 131], Operations: ['62+69=131']
Exploring Operation: 55-5=50, Resulting Numbers: [131, 50]
Generated Node #3: [131, 50] from Operation: 55-5=50
Current State: 81:[131, 50], Operations: ['62+69=131', '55-5=50']
Exploring Operation: 131-50=81, Resulting Numbers: [81]
81,81 equal: Goal Reached
| 4 |
[
21,
4,
89,
21
] | 84 | [
"21/21=1",
"89-4=85",
"85-1=84"
] | Current State: 84:[21, 4, 89, 21], Operations: []
Exploring Operation: 21/21=1, Resulting Numbers: [4, 89, 1]
Generated Node #2: [4, 89, 1] from Operation: 21/21=1
Current State: 84:[4, 89, 1], Operations: ['21/21=1']
Exploring Operation: 89-4=85, Resulting Numbers: [1, 85]
Generated Node #3: [1, 85] from Operation: 89-4=85
Current State: 84:[1, 85], Operations: ['21/21=1', '89-4=85']
Exploring Operation: 85-1=84, Resulting Numbers: [84]
84,84 equal: Goal Reached
| 4 |
[
80,
82,
55,
74
] | 38 | [
"82-80=2",
"74-55=19",
"2*19=38"
] | Current State: 38:[80, 82, 55, 74], Operations: []
Exploring Operation: 82-80=2, Resulting Numbers: [55, 74, 2]
Generated Node #2: [55, 74, 2] from Operation: 82-80=2
Current State: 38:[55, 74, 2], Operations: ['82-80=2']
Exploring Operation: 74-55=19, Resulting Numbers: [2, 19]
Generated Node #3: [2, 19] from Operation: 74-55=19
Current State: 38:[2, 19], Operations: ['82-80=2', '74-55=19']
Exploring Operation: 2*19=38, Resulting Numbers: [38]
38,38 equal: Goal Reached
| 4 |
[
5,
2,
17,
72
] | 41 | [
"5-2=3",
"72/3=24",
"17+24=41"
] | Current State: 41:[5, 2, 17, 72], Operations: []
Exploring Operation: 5-2=3, Resulting Numbers: [17, 72, 3]
Generated Node #2: [17, 72, 3] from Operation: 5-2=3
Current State: 41:[17, 72, 3], Operations: ['5-2=3']
Exploring Operation: 72/3=24, Resulting Numbers: [17, 24]
Generated Node #3: [17, 24] from Operation: 72/3=24
Current State: 41:[17, 24], Operations: ['5-2=3', '72/3=24']
Exploring Operation: 17+24=41, Resulting Numbers: [41]
41,41 equal: Goal Reached
| 4 |
[
90,
5,
37,
41
] | 22 | [
"90/5=18",
"41-37=4",
"18+4=22"
] | Current State: 22:[90, 5, 37, 41], Operations: []
Exploring Operation: 90/5=18, Resulting Numbers: [37, 41, 18]
Generated Node #2: [37, 41, 18] from Operation: 90/5=18
Current State: 22:[37, 41, 18], Operations: ['90/5=18']
Exploring Operation: 41-37=4, Resulting Numbers: [18, 4]
Generated Node #3: [18, 4] from Operation: 41-37=4
Current State: 22:[18, 4], Operations: ['90/5=18', '41-37=4']
Exploring Operation: 18+4=22, Resulting Numbers: [22]
22,22 equal: Goal Reached
| 4 |
[
19,
16,
67,
33
] | 97 | [
"19-16=3",
"67+33=100",
"100-3=97"
] | Current State: 97:[19, 16, 67, 33], Operations: []
Exploring Operation: 19-16=3, Resulting Numbers: [67, 33, 3]
Generated Node #2: [67, 33, 3] from Operation: 19-16=3
Current State: 97:[67, 33, 3], Operations: ['19-16=3']
Exploring Operation: 67+33=100, Resulting Numbers: [3, 100]
Generated Node #3: [3, 100] from Operation: 67+33=100
Current State: 97:[3, 100], Operations: ['19-16=3', '67+33=100']
Exploring Operation: 100-3=97, Resulting Numbers: [97]
97,97 equal: Goal Reached
| 4 |
[
41,
18,
42,
61
] | 84 | [
"41+18=59",
"61-59=2",
"42*2=84"
] | Current State: 84:[41, 18, 42, 61], Operations: []
Exploring Operation: 41+18=59, Resulting Numbers: [42, 61, 59]
Generated Node #2: [42, 61, 59] from Operation: 41+18=59
Current State: 84:[42, 61, 59], Operations: ['41+18=59']
Exploring Operation: 61-59=2, Resulting Numbers: [42, 2]
Generated Node #3: [42, 2] from Operation: 61-59=2
Current State: 84:[42, 2], Operations: ['41+18=59', '61-59=2']
Exploring Operation: 42*2=84, Resulting Numbers: [84]
84,84 equal: Goal Reached
| 4 |
[
54,
6,
45,
26
] | 79 | [
"54+6=60",
"45-26=19",
"60+19=79"
] | Current State: 79:[54, 6, 45, 26], Operations: []
Exploring Operation: 54+6=60, Resulting Numbers: [45, 26, 60]
Generated Node #2: [45, 26, 60] from Operation: 54+6=60
Current State: 79:[45, 26, 60], Operations: ['54+6=60']
Exploring Operation: 45-26=19, Resulting Numbers: [60, 19]
Generated Node #3: [60, 19] from Operation: 45-26=19
Current State: 79:[60, 19], Operations: ['54+6=60', '45-26=19']
Exploring Operation: 60+19=79, Resulting Numbers: [79]
79,79 equal: Goal Reached
| 4 |
[
60,
60,
24,
80
] | 70 | [
"60*60=3600",
"3600/24=150",
"150-80=70"
] | Current State: 70:[60, 60, 24, 80], Operations: []
Exploring Operation: 60*60=3600, Resulting Numbers: [24, 80, 3600]
Generated Node #2: [24, 80, 3600] from Operation: 60*60=3600
Current State: 70:[24, 80, 3600], Operations: ['60*60=3600']
Exploring Operation: 3600/24=150, Resulting Numbers: [80, 150]
Generated Node #3: [80, 150] from Operation: 3600/24=150
Current State: 70:[80, 150], Operations: ['60*60=3600', '3600/24=150']
Exploring Operation: 150-80=70, Resulting Numbers: [70]
70,70 equal: Goal Reached
| 4 |
[
59,
63,
7,
75
] | 64 | [
"63-59=4",
"75-7=68",
"68-4=64"
] | Current State: 64:[59, 63, 7, 75], Operations: []
Exploring Operation: 63-59=4, Resulting Numbers: [7, 75, 4]
Generated Node #2: [7, 75, 4] from Operation: 63-59=4
Current State: 64:[7, 75, 4], Operations: ['63-59=4']
Exploring Operation: 75-7=68, Resulting Numbers: [4, 68]
Generated Node #3: [4, 68] from Operation: 75-7=68
Current State: 64:[4, 68], Operations: ['63-59=4', '75-7=68']
Exploring Operation: 68-4=64, Resulting Numbers: [64]
64,64 equal: Goal Reached
| 4 |
[
1,
84,
25,
81
] | 100 | [
"1+84=85",
"85-81=4",
"25*4=100"
] | Current State: 100:[1, 84, 25, 81], Operations: []
Exploring Operation: 1+84=85, Resulting Numbers: [25, 81, 85]
Generated Node #2: [25, 81, 85] from Operation: 1+84=85
Current State: 100:[25, 81, 85], Operations: ['1+84=85']
Exploring Operation: 85-81=4, Resulting Numbers: [25, 4]
Generated Node #3: [25, 4] from Operation: 85-81=4
Current State: 100:[25, 4], Operations: ['1+84=85', '85-81=4']
Exploring Operation: 25*4=100, Resulting Numbers: [100]
100,100 equal: Goal Reached
| 4 |
[
35,
23,
13,
12
] | 13 | [
"35-23=12",
"13+12=25",
"25-12=13"
] | Current State: 13:[35, 23, 13, 12], Operations: []
Exploring Operation: 35-23=12, Resulting Numbers: [13, 12, 12]
Generated Node #2: [13, 12, 12] from Operation: 35-23=12
Current State: 13:[13, 12, 12], Operations: ['35-23=12']
Exploring Operation: 13+12=25, Resulting Numbers: [25]
25,13 equal: Goal Reached
Exploring Operation: 25-12=13, Resulting Numbers: [13]
13,13 equal: Goal Reached
| 4 |
[
25,
63,
33,
9
] | 63 | [
"33-25=8",
"9-8=1",
"63*1=63"
] | Current State: 63:[25, 63, 33, 9], Operations: []
Exploring Operation: 33-25=8, Resulting Numbers: [63, 9, 8]
Generated Node #2: [63, 9, 8] from Operation: 33-25=8
Current State: 63:[63, 9, 8], Operations: ['33-25=8']
Exploring Operation: 9-8=1, Resulting Numbers: [63, 1]
Generated Node #3: [63, 1] from Operation: 9-8=1
Current State: 63:[63, 1], Operations: ['33-25=8', '9-8=1']
Exploring Operation: 63*1=63, Resulting Numbers: [63]
63,63 equal: Goal Reached
| 4 |
[
18,
96,
4,
21
] | 36 | [
"21-18=3",
"96/3=32",
"4+32=36"
] | Current State: 36:[18, 96, 4, 21], Operations: []
Exploring Operation: 21-18=3, Resulting Numbers: [96, 4, 3]
Generated Node #2: [96, 4, 3] from Operation: 21-18=3
Current State: 36:[96, 4, 3], Operations: ['21-18=3']
Exploring Operation: 96/3=32, Resulting Numbers: [4, 32]
Generated Node #3: [4, 32] from Operation: 96/3=32
Current State: 36:[4, 32], Operations: ['21-18=3', '96/3=32']
Exploring Operation: 4+32=36, Resulting Numbers: [36]
36,36 equal: Goal Reached
| 4 |
[
85,
28,
33,
2
] | 34 | [
"85*2=170",
"33-28=5",
"170/5=34"
] | Current State: 34:[85, 28, 33, 2], Operations: []
Exploring Operation: 85*2=170, Resulting Numbers: [28, 33, 170]
Generated Node #2: [28, 33, 170] from Operation: 85*2=170
Current State: 34:[28, 33, 170], Operations: ['85*2=170']
Exploring Operation: 33-28=5, Resulting Numbers: [170, 5]
Generated Node #3: [170, 5] from Operation: 33-28=5
Current State: 34:[170, 5], Operations: ['85*2=170', '33-28=5']
Exploring Operation: 170/5=34, Resulting Numbers: [34]
34,34 equal: Goal Reached
| 4 |
[
36,
56,
56,
24
] | 12 | [
"36+56=92",
"56+24=80",
"92-80=12"
] | Current State: 12:[36, 56, 56, 24], Operations: []
Exploring Operation: 36+56=92, Resulting Numbers: [24, 92]
Generated Node #2: [24, 92] from Operation: 36+56=92
Current State: 12:[24, 92], Operations: ['36+56=92']
Exploring Operation: 56+24=80, Resulting Numbers: [92, 80]
Generated Node #3: [92, 80] from Operation: 56+24=80
Current State: 12:[92, 80], Operations: ['36+56=92', '56+24=80']
Exploring Operation: 92-80=12, Resulting Numbers: [12]
12,12 equal: Goal Reached
| 4 |
[
55,
21,
24,
88
] | 22 | [
"21*88=1848",
"1848/24=77",
"77-55=22"
] | Current State: 22:[55, 21, 24, 88], Operations: []
Exploring Operation: 21*88=1848, Resulting Numbers: [55, 24, 1848]
Generated Node #2: [55, 24, 1848] from Operation: 21*88=1848
Current State: 22:[55, 24, 1848], Operations: ['21*88=1848']
Exploring Operation: 1848/24=77, Resulting Numbers: [55, 77]
Generated Node #3: [55, 77] from Operation: 1848/24=77
Current State: 22:[55, 77], Operations: ['21*88=1848', '1848/24=77']
Exploring Operation: 77-55=22, Resulting Numbers: [22]
22,22 equal: Goal Reached
| 4 |
[
36,
21,
95,
13
] | 51 | [
"36+21=57",
"95+13=108",
"108-57=51"
] | Current State: 51:[36, 21, 95, 13], Operations: []
Exploring Operation: 36+21=57, Resulting Numbers: [95, 13, 57]
Generated Node #2: [95, 13, 57] from Operation: 36+21=57
Current State: 51:[95, 13, 57], Operations: ['36+21=57']
Exploring Operation: 95+13=108, Resulting Numbers: [57, 108]
Generated Node #3: [57, 108] from Operation: 95+13=108
Current State: 51:[57, 108], Operations: ['36+21=57', '95+13=108']
Exploring Operation: 108-57=51, Resulting Numbers: [51]
51,51 equal: Goal Reached
| 4 |
[
54,
3,
85,
3
] | 74 | [
"54*3=162",
"85+3=88",
"162-88=74"
] | Current State: 74:[54, 3, 85, 3], Operations: []
Exploring Operation: 54*3=162, Resulting Numbers: [85, 162]
Generated Node #2: [85, 162] from Operation: 54*3=162
Current State: 74:[85, 162], Operations: ['54*3=162']
Exploring Operation: 85+3=88, Resulting Numbers: [162, 88]
Generated Node #3: [162, 88] from Operation: 85+3=88
Current State: 74:[162, 88], Operations: ['54*3=162', '85+3=88']
Exploring Operation: 162-88=74, Resulting Numbers: [74]
74,74 equal: Goal Reached
| 4 |
[
63,
7,
28,
71
] | 28 | [
"63+7=70",
"71-70=1",
"28*1=28"
] | Current State: 28:[63, 7, 28, 71], Operations: []
Exploring Operation: 63+7=70, Resulting Numbers: [28, 71, 70]
Generated Node #2: [28, 71, 70] from Operation: 63+7=70
Current State: 28:[28, 71, 70], Operations: ['63+7=70']
Exploring Operation: 71-70=1, Resulting Numbers: [28, 1]
Generated Node #3: [28, 1] from Operation: 71-70=1
Current State: 28:[28, 1], Operations: ['63+7=70', '71-70=1']
Exploring Operation: 28*1=28, Resulting Numbers: [28]
28,28 equal: Goal Reached
| 4 |
[
22,
77,
33,
26
] | 92 | [
"22+77=99",
"33-26=7",
"99-7=92"
] | Current State: 92:[22, 77, 33, 26], Operations: []
Exploring Operation: 22+77=99, Resulting Numbers: [33, 26, 99]
Generated Node #2: [33, 26, 99] from Operation: 22+77=99
Current State: 92:[33, 26, 99], Operations: ['22+77=99']
Exploring Operation: 33-26=7, Resulting Numbers: [99, 7]
Generated Node #3: [99, 7] from Operation: 33-26=7
Current State: 92:[99, 7], Operations: ['22+77=99', '33-26=7']
Exploring Operation: 99-7=92, Resulting Numbers: [92]
92,92 equal: Goal Reached
| 4 |
[
13,
6,
5,
37
] | 39 | [
"13-6=7",
"37-5=32",
"7+32=39"
] | Current State: 39:[13, 6, 5, 37], Operations: []
Exploring Operation: 13-6=7, Resulting Numbers: [5, 37, 7]
Generated Node #2: [5, 37, 7] from Operation: 13-6=7
Current State: 39:[5, 37, 7], Operations: ['13-6=7']
Exploring Operation: 37-5=32, Resulting Numbers: [7, 32]
Generated Node #3: [7, 32] from Operation: 37-5=32
Current State: 39:[7, 32], Operations: ['13-6=7', '37-5=32']
Exploring Operation: 7+32=39, Resulting Numbers: [39]
39,39 equal: Goal Reached
| 4 |
[
14,
78,
79,
5
] | 69 | [
"14*5=70",
"79-78=1",
"70-1=69"
] | Current State: 69:[14, 78, 79, 5], Operations: []
Exploring Operation: 14*5=70, Resulting Numbers: [78, 79, 70]
Generated Node #2: [78, 79, 70] from Operation: 14*5=70
Current State: 69:[78, 79, 70], Operations: ['14*5=70']
Exploring Operation: 79-78=1, Resulting Numbers: [70, 1]
Generated Node #3: [70, 1] from Operation: 79-78=1
Current State: 69:[70, 1], Operations: ['14*5=70', '79-78=1']
Exploring Operation: 70-1=69, Resulting Numbers: [69]
69,69 equal: Goal Reached
| 4 |
[
33,
69,
98,
35
] | 98 | [
"69-33=36",
"36-35=1",
"98*1=98"
] | Current State: 98:[33, 69, 98, 35], Operations: []
Exploring Operation: 69-33=36, Resulting Numbers: [98, 35, 36]
Generated Node #2: [98, 35, 36] from Operation: 69-33=36
Current State: 98:[98, 35, 36], Operations: ['69-33=36']
Exploring Operation: 36-35=1, Resulting Numbers: [98, 1]
Generated Node #3: [98, 1] from Operation: 36-35=1
Current State: 98:[98, 1], Operations: ['69-33=36', '36-35=1']
Exploring Operation: 98*1=98, Resulting Numbers: [98]
98,98 equal: Goal Reached
| 4 |
[
46,
25,
30,
7
] | 99 | [
"46+30=76",
"25*7=175",
"175-76=99"
] | Current State: 99:[46, 25, 30, 7], Operations: []
Exploring Operation: 46+30=76, Resulting Numbers: [25, 7, 76]
Generated Node #2: [25, 7, 76] from Operation: 46+30=76
Current State: 99:[25, 7, 76], Operations: ['46+30=76']
Exploring Operation: 25*7=175, Resulting Numbers: [76, 175]
Generated Node #3: [76, 175] from Operation: 25*7=175
Current State: 99:[76, 175], Operations: ['46+30=76', '25*7=175']
Exploring Operation: 175-76=99, Resulting Numbers: [99]
99,99 equal: Goal Reached
| 4 |
[
26,
39,
57,
8
] | 14 | [
"39+57=96",
"96/8=12",
"26-12=14"
] | Current State: 14:[26, 39, 57, 8], Operations: []
Exploring Operation: 39+57=96, Resulting Numbers: [26, 8, 96]
Generated Node #2: [26, 8, 96] from Operation: 39+57=96
Current State: 14:[26, 8, 96], Operations: ['39+57=96']
Exploring Operation: 96/8=12, Resulting Numbers: [26, 12]
Generated Node #3: [26, 12] from Operation: 96/8=12
Current State: 14:[26, 12], Operations: ['39+57=96', '96/8=12']
Exploring Operation: 26-12=14, Resulting Numbers: [14]
14,14 equal: Goal Reached
| 4 |
[
47,
51,
84,
8
] | 42 | [
"51-47=4",
"84*4=336",
"336/8=42"
] | Current State: 42:[47, 51, 84, 8], Operations: []
Exploring Operation: 51-47=4, Resulting Numbers: [84, 8, 4]
Generated Node #2: [84, 8, 4] from Operation: 51-47=4
Current State: 42:[84, 8, 4], Operations: ['51-47=4']
Exploring Operation: 84*4=336, Resulting Numbers: [8, 336]
Generated Node #3: [8, 336] from Operation: 84*4=336
Current State: 42:[8, 336], Operations: ['51-47=4', '84*4=336']
Exploring Operation: 336/8=42, Resulting Numbers: [42]
42,42 equal: Goal Reached
| 4 |
[
28,
2,
55,
33
] | 17 | [
"28+55=83",
"2*33=66",
"83-66=17"
] | Current State: 17:[28, 2, 55, 33], Operations: []
Exploring Operation: 28+55=83, Resulting Numbers: [2, 33, 83]
Generated Node #2: [2, 33, 83] from Operation: 28+55=83
Current State: 17:[2, 33, 83], Operations: ['28+55=83']
Exploring Operation: 2*33=66, Resulting Numbers: [83, 66]
Generated Node #3: [83, 66] from Operation: 2*33=66
Current State: 17:[83, 66], Operations: ['28+55=83', '2*33=66']
Exploring Operation: 83-66=17, Resulting Numbers: [17]
17,17 equal: Goal Reached
| 4 |
[
72,
87,
41,
91
] | 59 | [
"91-87=4",
"72/4=18",
"41+18=59"
] | Current State: 59:[72, 87, 41, 91], Operations: []
Exploring Operation: 91-87=4, Resulting Numbers: [72, 41, 4]
Generated Node #2: [72, 41, 4] from Operation: 91-87=4
Current State: 59:[72, 41, 4], Operations: ['91-87=4']
Exploring Operation: 72/4=18, Resulting Numbers: [41, 18]
Generated Node #3: [41, 18] from Operation: 72/4=18
Current State: 59:[41, 18], Operations: ['91-87=4', '72/4=18']
Exploring Operation: 41+18=59, Resulting Numbers: [59]
59,59 equal: Goal Reached
| 4 |
[
40,
75,
51,
31
] | 55 | [
"75-40=35",
"51-31=20",
"35+20=55"
] | Current State: 55:[40, 75, 51, 31], Operations: []
Exploring Operation: 75-40=35, Resulting Numbers: [51, 31, 35]
Generated Node #2: [51, 31, 35] from Operation: 75-40=35
Current State: 55:[51, 31, 35], Operations: ['75-40=35']
Exploring Operation: 51-31=20, Resulting Numbers: [35, 20]
Generated Node #3: [35, 20] from Operation: 51-31=20
Current State: 55:[35, 20], Operations: ['75-40=35', '51-31=20']
Exploring Operation: 35+20=55, Resulting Numbers: [55]
55,55 equal: Goal Reached
| 4 |
[
54,
13,
53,
64
] | 51 | [
"54-53=1",
"64-13=51",
"1*51=51"
] | Current State: 51:[54, 13, 53, 64], Operations: []
Exploring Operation: 54-53=1, Resulting Numbers: [13, 64, 1]
Generated Node #2: [13, 64, 1] from Operation: 54-53=1
Current State: 51:[13, 64, 1], Operations: ['54-53=1']
Exploring Operation: 64-13=51, Resulting Numbers: [1, 51]
Generated Node #3: [1, 51] from Operation: 64-13=51
Current State: 51:[1, 51], Operations: ['54-53=1', '64-13=51']
Exploring Operation: 1*51=51, Resulting Numbers: [51]
51,51 equal: Goal Reached
| 4 |
[
3,
1,
18,
75
] | 97 | [
"3+1=4",
"18+75=93",
"4+93=97"
] | Current State: 97:[3, 1, 18, 75], Operations: []
Exploring Operation: 3+1=4, Resulting Numbers: [18, 75, 4]
Generated Node #2: [18, 75, 4] from Operation: 3+1=4
Current State: 97:[18, 75, 4], Operations: ['3+1=4']
Exploring Operation: 18+75=93, Resulting Numbers: [4, 93]
Generated Node #3: [4, 93] from Operation: 18+75=93
Current State: 97:[4, 93], Operations: ['3+1=4', '18+75=93']
Exploring Operation: 4+93=97, Resulting Numbers: [97]
97,97 equal: Goal Reached
| 4 |
[
91,
51,
11,
79
] | 77 | [
"91+11=102",
"102/51=2",
"79-2=77"
] | Current State: 77:[91, 51, 11, 79], Operations: []
Exploring Operation: 91+11=102, Resulting Numbers: [51, 79, 102]
Generated Node #2: [51, 79, 102] from Operation: 91+11=102
Current State: 77:[51, 79, 102], Operations: ['91+11=102']
Exploring Operation: 102/51=2, Resulting Numbers: [79, 2]
Generated Node #3: [79, 2] from Operation: 102/51=2
Current State: 77:[79, 2], Operations: ['91+11=102', '102/51=2']
Exploring Operation: 79-2=77, Resulting Numbers: [77]
77,77 equal: Goal Reached
| 4 |
[
17,
58,
19,
47
] | 69 | [
"58-17=41",
"47-19=28",
"41+28=69"
] | Current State: 69:[17, 58, 19, 47], Operations: []
Exploring Operation: 58-17=41, Resulting Numbers: [19, 47, 41]
Generated Node #2: [19, 47, 41] from Operation: 58-17=41
Current State: 69:[19, 47, 41], Operations: ['58-17=41']
Exploring Operation: 47-19=28, Resulting Numbers: [41, 28]
Generated Node #3: [41, 28] from Operation: 47-19=28
Current State: 69:[41, 28], Operations: ['58-17=41', '47-19=28']
Exploring Operation: 41+28=69, Resulting Numbers: [69]
69,69 equal: Goal Reached
| 4 |
[
38,
18,
5,
17
] | 34 | [
"38+18=56",
"5+17=22",
"56-22=34"
] | Current State: 34:[38, 18, 5, 17], Operations: []
Exploring Operation: 38+18=56, Resulting Numbers: [5, 17, 56]
Generated Node #2: [5, 17, 56] from Operation: 38+18=56
Current State: 34:[5, 17, 56], Operations: ['38+18=56']
Exploring Operation: 5+17=22, Resulting Numbers: [56, 22]
Generated Node #3: [56, 22] from Operation: 5+17=22
Current State: 34:[56, 22], Operations: ['38+18=56', '5+17=22']
Exploring Operation: 56-22=34, Resulting Numbers: [34]
34,34 equal: Goal Reached
| 4 |
[
64,
80,
66,
45
] | 85 | [
"66-64=2",
"80/2=40",
"45+40=85"
] | Current State: 85:[64, 80, 66, 45], Operations: []
Exploring Operation: 66-64=2, Resulting Numbers: [80, 45, 2]
Generated Node #2: [80, 45, 2] from Operation: 66-64=2
Current State: 85:[80, 45, 2], Operations: ['66-64=2']
Exploring Operation: 80/2=40, Resulting Numbers: [45, 40]
Generated Node #3: [45, 40] from Operation: 80/2=40
Current State: 85:[45, 40], Operations: ['66-64=2', '80/2=40']
Exploring Operation: 45+40=85, Resulting Numbers: [85]
85,85 equal: Goal Reached
| 4 |
[
76,
33,
85,
50
] | 78 | [
"76-33=43",
"85-50=35",
"43+35=78"
] | Current State: 78:[76, 33, 85, 50], Operations: []
Exploring Operation: 76-33=43, Resulting Numbers: [85, 50, 43]
Generated Node #2: [85, 50, 43] from Operation: 76-33=43
Current State: 78:[85, 50, 43], Operations: ['76-33=43']
Exploring Operation: 85-50=35, Resulting Numbers: [43, 35]
Generated Node #3: [43, 35] from Operation: 85-50=35
Current State: 78:[43, 35], Operations: ['76-33=43', '85-50=35']
Exploring Operation: 43+35=78, Resulting Numbers: [78]
78,78 equal: Goal Reached
| 4 |
[
32,
15,
12,
48
] | 22 | [
"32*15=480",
"480/48=10",
"12+10=22"
] | Current State: 22:[32, 15, 12, 48], Operations: []
Exploring Operation: 32*15=480, Resulting Numbers: [12, 48, 480]
Generated Node #2: [12, 48, 480] from Operation: 32*15=480
Current State: 22:[12, 48, 480], Operations: ['32*15=480']
Exploring Operation: 480/48=10, Resulting Numbers: [12, 10]
Generated Node #3: [12, 10] from Operation: 480/48=10
Current State: 22:[12, 10], Operations: ['32*15=480', '480/48=10']
Exploring Operation: 12+10=22, Resulting Numbers: [22]
22,22 equal: Goal Reached
| 4 |
[
2,
13,
92,
32
] | 63 | [
"32/2=16",
"92-13=79",
"79-16=63"
] | Current State: 63:[2, 13, 92, 32], Operations: []
Exploring Operation: 32/2=16, Resulting Numbers: [13, 92, 16]
Generated Node #2: [13, 92, 16] from Operation: 32/2=16
Current State: 63:[13, 92, 16], Operations: ['32/2=16']
Exploring Operation: 92-13=79, Resulting Numbers: [16, 79]
Generated Node #3: [16, 79] from Operation: 92-13=79
Current State: 63:[16, 79], Operations: ['32/2=16', '92-13=79']
Exploring Operation: 79-16=63, Resulting Numbers: [63]
63,63 equal: Goal Reached
| 4 |
[
61,
66,
93,
34
] | 77 | [
"66-61=5",
"34*5=170",
"170-93=77"
] | Current State: 77:[61, 66, 93, 34], Operations: []
Exploring Operation: 66-61=5, Resulting Numbers: [93, 34, 5]
Generated Node #2: [93, 34, 5] from Operation: 66-61=5
Current State: 77:[93, 34, 5], Operations: ['66-61=5']
Exploring Operation: 34*5=170, Resulting Numbers: [93, 170]
Generated Node #3: [93, 170] from Operation: 34*5=170
Current State: 77:[93, 170], Operations: ['66-61=5', '34*5=170']
Exploring Operation: 170-93=77, Resulting Numbers: [77]
77,77 equal: Goal Reached
| 4 |
[
49,
65,
67,
6
] | 52 | [
"67-65=2",
"6/2=3",
"49+3=52"
] | Current State: 52:[49, 65, 67, 6], Operations: []
Exploring Operation: 67-65=2, Resulting Numbers: [49, 6, 2]
Generated Node #2: [49, 6, 2] from Operation: 67-65=2
Current State: 52:[49, 6, 2], Operations: ['67-65=2']
Exploring Operation: 6/2=3, Resulting Numbers: [49, 3]
Generated Node #3: [49, 3] from Operation: 6/2=3
Current State: 52:[49, 3], Operations: ['67-65=2', '6/2=3']
Exploring Operation: 49+3=52, Resulting Numbers: [52]
52,52 equal: Goal Reached
| 4 |
[
5,
86,
81,
66
] | 19 | [
"86-66=20",
"5*20=100",
"100-81=19"
] | Current State: 19:[5, 86, 81, 66], Operations: []
Exploring Operation: 86-66=20, Resulting Numbers: [5, 81, 20]
Generated Node #2: [5, 81, 20] from Operation: 86-66=20
Current State: 19:[5, 81, 20], Operations: ['86-66=20']
Exploring Operation: 5*20=100, Resulting Numbers: [81, 100]
Generated Node #3: [81, 100] from Operation: 5*20=100
Current State: 19:[81, 100], Operations: ['86-66=20', '5*20=100']
Exploring Operation: 100-81=19, Resulting Numbers: [19]
19,19 equal: Goal Reached
| 4 |
[
78,
16,
58,
58
] | 95 | [
"78+16=94",
"58/58=1",
"94+1=95"
] | Current State: 95:[78, 16, 58, 58], Operations: []
Exploring Operation: 78+16=94, Resulting Numbers: [58, 58, 94]
Generated Node #2: [58, 58, 94] from Operation: 78+16=94
Current State: 95:[58, 58, 94], Operations: ['78+16=94']
Exploring Operation: 58/58=1, Resulting Numbers: [94, 1]
Generated Node #3: [94, 1] from Operation: 58/58=1
Current State: 95:[94, 1], Operations: ['78+16=94', '58/58=1']
Exploring Operation: 94+1=95, Resulting Numbers: [95]
95,95 equal: Goal Reached
| 4 |
[
70,
13,
91,
86
] | 94 | [
"70+13=83",
"91+86=177",
"177-83=94"
] | Current State: 94:[70, 13, 91, 86], Operations: []
Exploring Operation: 70+13=83, Resulting Numbers: [91, 86, 83]
Generated Node #2: [91, 86, 83] from Operation: 70+13=83
Current State: 94:[91, 86, 83], Operations: ['70+13=83']
Exploring Operation: 91+86=177, Resulting Numbers: [83, 177]
Generated Node #3: [83, 177] from Operation: 91+86=177
Current State: 94:[83, 177], Operations: ['70+13=83', '91+86=177']
Exploring Operation: 177-83=94, Resulting Numbers: [94]
94,94 equal: Goal Reached
| 4 |
[
89,
84,
75,
2
] | 12 | [
"89-75=14",
"84*2=168",
"168/14=12"
] | Current State: 12:[89, 84, 75, 2], Operations: []
Exploring Operation: 89-75=14, Resulting Numbers: [84, 2, 14]
Generated Node #2: [84, 2, 14] from Operation: 89-75=14
Current State: 12:[84, 2, 14], Operations: ['89-75=14']
Exploring Operation: 84*2=168, Resulting Numbers: [14, 168]
Generated Node #3: [14, 168] from Operation: 84*2=168
Current State: 12:[14, 168], Operations: ['89-75=14', '84*2=168']
Exploring Operation: 168/14=12, Resulting Numbers: [12]
12,12 equal: Goal Reached
| 4 |
[
33,
51,
4,
81
] | 60 | [
"33+51=84",
"84/4=21",
"81-21=60"
] | Current State: 60:[33, 51, 4, 81], Operations: []
Exploring Operation: 33+51=84, Resulting Numbers: [4, 81, 84]
Generated Node #2: [4, 81, 84] from Operation: 33+51=84
Current State: 60:[4, 81, 84], Operations: ['33+51=84']
Exploring Operation: 84/4=21, Resulting Numbers: [81, 21]
Generated Node #3: [81, 21] from Operation: 84/4=21
Current State: 60:[81, 21], Operations: ['33+51=84', '84/4=21']
Exploring Operation: 81-21=60, Resulting Numbers: [60]
60,60 equal: Goal Reached
| 4 |
[
71,
37,
36,
5
] | 67 | [
"71+37=108",
"36+5=41",
"108-41=67"
] | Current State: 67:[71, 37, 36, 5], Operations: []
Exploring Operation: 71+37=108, Resulting Numbers: [36, 5, 108]
Generated Node #2: [36, 5, 108] from Operation: 71+37=108
Current State: 67:[36, 5, 108], Operations: ['71+37=108']
Exploring Operation: 36+5=41, Resulting Numbers: [108, 41]
Generated Node #3: [108, 41] from Operation: 36+5=41
Current State: 67:[108, 41], Operations: ['71+37=108', '36+5=41']
Exploring Operation: 108-41=67, Resulting Numbers: [67]
67,67 equal: Goal Reached
| 4 |
[
50,
34,
32,
48
] | 64 | [
"50-34=16",
"32+48=80",
"80-16=64"
] | Current State: 64:[50, 34, 32, 48], Operations: []
Exploring Operation: 50-34=16, Resulting Numbers: [32, 48, 16]
Generated Node #2: [32, 48, 16] from Operation: 50-34=16
Current State: 64:[32, 48, 16], Operations: ['50-34=16']
Exploring Operation: 32+48=80, Resulting Numbers: [16, 80]
Generated Node #3: [16, 80] from Operation: 32+48=80
Current State: 64:[16, 80], Operations: ['50-34=16', '32+48=80']
Exploring Operation: 80-16=64, Resulting Numbers: [64]
64,64 equal: Goal Reached
| 4 |
[
96,
12,
81,
18
] | 17 | [
"96*12=1152",
"1152/18=64",
"81-64=17"
] | Current State: 17:[96, 12, 81, 18], Operations: []
Exploring Operation: 96*12=1152, Resulting Numbers: [81, 18, 1152]
Generated Node #2: [81, 18, 1152] from Operation: 96*12=1152
Current State: 17:[81, 18, 1152], Operations: ['96*12=1152']
Exploring Operation: 1152/18=64, Resulting Numbers: [81, 64]
Generated Node #3: [81, 64] from Operation: 1152/18=64
Current State: 17:[81, 64], Operations: ['96*12=1152', '1152/18=64']
Exploring Operation: 81-64=17, Resulting Numbers: [17]
17,17 equal: Goal Reached
| 4 |
[
32,
90,
41,
1
] | 10 | [
"41-32=9",
"90*1=90",
"90/9=10"
] | Current State: 10:[32, 90, 41, 1], Operations: []
Exploring Operation: 41-32=9, Resulting Numbers: [90, 1, 9]
Generated Node #2: [90, 1, 9] from Operation: 41-32=9
Current State: 10:[90, 1, 9], Operations: ['41-32=9']
Exploring Operation: 90*1=90, Resulting Numbers: [9, 90]
Generated Node #3: [9, 90] from Operation: 90*1=90
Current State: 10:[9, 90], Operations: ['41-32=9', '90*1=90']
Exploring Operation: 90/9=10, Resulting Numbers: [10]
10,10 equal: Goal Reached
| 4 |
[
55,
47,
50,
37
] | 54 | [
"55-37=18",
"50-47=3",
"18*3=54"
] | Current State: 54:[55, 47, 50, 37], Operations: []
Exploring Operation: 55-37=18, Resulting Numbers: [47, 50, 18]
Generated Node #2: [47, 50, 18] from Operation: 55-37=18
Current State: 54:[47, 50, 18], Operations: ['55-37=18']
Exploring Operation: 50-47=3, Resulting Numbers: [18, 3]
Generated Node #3: [18, 3] from Operation: 50-47=3
Current State: 54:[18, 3], Operations: ['55-37=18', '50-47=3']
Exploring Operation: 18*3=54, Resulting Numbers: [54]
54,54 equal: Goal Reached
| 4 |
[
89,
61,
11,
10
] | 71 | [
"89+11=100",
"100/10=10",
"61+10=71"
] | Current State: 71:[89, 61, 11, 10], Operations: []
Exploring Operation: 89+11=100, Resulting Numbers: [61, 10, 100]
Generated Node #2: [61, 10, 100] from Operation: 89+11=100
Current State: 71:[61, 10, 100], Operations: ['89+11=100']
Exploring Operation: 100/10=10, Resulting Numbers: [61, 10]
Generated Node #3: [61, 10] from Operation: 100/10=10
Current State: 71:[61, 10], Operations: ['89+11=100', '100/10=10']
Exploring Operation: 61+10=71, Resulting Numbers: [71]
71,71 equal: Goal Reached
| 4 |
[
25,
2,
37,
71
] | 65 | [
"37-25=12",
"12/2=6",
"71-6=65"
] | Current State: 65:[25, 2, 37, 71], Operations: []
Exploring Operation: 37-25=12, Resulting Numbers: [2, 71, 12]
Generated Node #2: [2, 71, 12] from Operation: 37-25=12
Current State: 65:[2, 71, 12], Operations: ['37-25=12']
Exploring Operation: 12/2=6, Resulting Numbers: [71, 6]
Generated Node #3: [71, 6] from Operation: 12/2=6
Current State: 65:[71, 6], Operations: ['37-25=12', '12/2=6']
Exploring Operation: 71-6=65, Resulting Numbers: [65]
65,65 equal: Goal Reached
| 4 |
Subsets and Splits
No community queries yet
The top public SQL queries from the community will appear here once available.