nums listlengths 4 4 | target int64 10 100 | solution listlengths 3 3 | optimal_path stringlengths 282 529 | start_size int64 4 4 |
|---|---|---|---|---|
[
63,
30,
14,
78
] | 16 | [
"78-63=15",
"30/15=2",
"14+2=16"
] | Current State: 16:[63, 30, 14, 78], Operations: []
Exploring Operation: 78-63=15, Resulting Numbers: [30, 14, 15]
Generated Node #2: [30, 14, 15] from Operation: 78-63=15
Current State: 16:[30, 14, 15], Operations: ['78-63=15']
Exploring Operation: 30/15=2, Resulting Numbers: [14, 2]
Generated Node #3: [14, 2] from Operation: 30/15=2
Current State: 16:[14, 2], Operations: ['78-63=15', '30/15=2']
Exploring Operation: 14+2=16, Resulting Numbers: [16]
16,16 equal: Goal Reached
| 4 |
[
33,
96,
90,
26
] | 53 | [
"96-33=63",
"90+26=116",
"116-63=53"
] | Current State: 53:[33, 96, 90, 26], Operations: []
Exploring Operation: 96-33=63, Resulting Numbers: [90, 26, 63]
Generated Node #2: [90, 26, 63] from Operation: 96-33=63
Current State: 53:[90, 26, 63], Operations: ['96-33=63']
Exploring Operation: 90+26=116, Resulting Numbers: [63, 116]
Generated Node #3: [63, 116] from Operation: 90+26=116
Current State: 53:[63, 116], Operations: ['96-33=63', '90+26=116']
Exploring Operation: 116-63=53, Resulting Numbers: [53]
53,53 equal: Goal Reached
| 4 |
[
88,
14,
96,
2
] | 59 | [
"88-14=74",
"74/2=37",
"96-37=59"
] | Current State: 59:[88, 14, 96, 2], Operations: []
Exploring Operation: 88-14=74, Resulting Numbers: [96, 2, 74]
Generated Node #2: [96, 2, 74] from Operation: 88-14=74
Current State: 59:[96, 2, 74], Operations: ['88-14=74']
Exploring Operation: 74/2=37, Resulting Numbers: [96, 37]
Generated Node #3: [96, 37] from Operation: 74/2=37
Current State: 59:[96, 37], Operations: ['88-14=74', '74/2=37']
Exploring Operation: 96-37=59, Resulting Numbers: [59]
59,59 equal: Goal Reached
| 4 |
[
32,
55,
34,
85
] | 96 | [
"55-32=23",
"34+85=119",
"119-23=96"
] | Current State: 96:[32, 55, 34, 85], Operations: []
Exploring Operation: 55-32=23, Resulting Numbers: [34, 85, 23]
Generated Node #2: [34, 85, 23] from Operation: 55-32=23
Current State: 96:[34, 85, 23], Operations: ['55-32=23']
Exploring Operation: 34+85=119, Resulting Numbers: [23, 119]
Generated Node #3: [23, 119] from Operation: 34+85=119
Current State: 96:[23, 119], Operations: ['55-32=23', '34+85=119']
Exploring Operation: 119-23=96, Resulting Numbers: [96]
96,96 equal: Goal Reached
| 4 |
[
9,
45,
19,
76
] | 93 | [
"45-9=36",
"76-19=57",
"36+57=93"
] | Current State: 93:[9, 45, 19, 76], Operations: []
Exploring Operation: 45-9=36, Resulting Numbers: [19, 76, 36]
Generated Node #2: [19, 76, 36] from Operation: 45-9=36
Current State: 93:[19, 76, 36], Operations: ['45-9=36']
Exploring Operation: 76-19=57, Resulting Numbers: [36, 57]
Generated Node #3: [36, 57] from Operation: 76-19=57
Current State: 93:[36, 57], Operations: ['45-9=36', '76-19=57']
Exploring Operation: 36+57=93, Resulting Numbers: [93]
93,93 equal: Goal Reached
| 4 |
[
17,
63,
43,
27
] | 72 | [
"43*27=1161",
"63+1161=1224",
"1224/17=72"
] | Current State: 72:[17, 63, 43, 27], Operations: []
Exploring Operation: 43*27=1161, Resulting Numbers: [17, 63, 1161]
Generated Node #2: [17, 63, 1161] from Operation: 43*27=1161
Current State: 72:[17, 63, 1161], Operations: ['43*27=1161']
Exploring Operation: 63+1161=1224, Resulting Numbers: [17, 1224]
Generated Node #3: [17, 1224] from Operation: 63+1161=1224
Current State: 72:[17, 1224], Operations: ['43*27=1161', '63+1161=1224']
Exploring Operation: 1224/17=72, Resulting Numbers: [72]
72,72 equal: Goal Reached
| 4 |
[
30,
88,
5,
2
] | 51 | [
"88-30=58",
"5+2=7",
"58-7=51"
] | Current State: 51:[30, 88, 5, 2], Operations: []
Exploring Operation: 88-30=58, Resulting Numbers: [5, 2, 58]
Generated Node #2: [5, 2, 58] from Operation: 88-30=58
Current State: 51:[5, 2, 58], Operations: ['88-30=58']
Exploring Operation: 5+2=7, Resulting Numbers: [58, 7]
Generated Node #3: [58, 7] from Operation: 5+2=7
Current State: 51:[58, 7], Operations: ['88-30=58', '5+2=7']
Exploring Operation: 58-7=51, Resulting Numbers: [51]
51,51 equal: Goal Reached
| 4 |
[
88,
96,
48,
43
] | 13 | [
"96-88=8",
"48-43=5",
"8+5=13"
] | Current State: 13:[88, 96, 48, 43], Operations: []
Exploring Operation: 96-88=8, Resulting Numbers: [48, 43, 8]
Generated Node #2: [48, 43, 8] from Operation: 96-88=8
Current State: 13:[48, 43, 8], Operations: ['96-88=8']
Exploring Operation: 48-43=5, Resulting Numbers: [8, 5]
Generated Node #3: [8, 5] from Operation: 48-43=5
Current State: 13:[8, 5], Operations: ['96-88=8', '48-43=5']
Exploring Operation: 8+5=13, Resulting Numbers: [13]
13,13 equal: Goal Reached
| 4 |
[
42,
27,
25,
8
] | 29 | [
"42+8=50",
"50/25=2",
"27+2=29"
] | Current State: 29:[42, 27, 25, 8], Operations: []
Exploring Operation: 42+8=50, Resulting Numbers: [27, 25, 50]
Generated Node #2: [27, 25, 50] from Operation: 42+8=50
Current State: 29:[27, 25, 50], Operations: ['42+8=50']
Exploring Operation: 50/25=2, Resulting Numbers: [27, 2]
Generated Node #3: [27, 2] from Operation: 50/25=2
Current State: 29:[27, 2], Operations: ['42+8=50', '50/25=2']
Exploring Operation: 27+2=29, Resulting Numbers: [29]
29,29 equal: Goal Reached
| 4 |
[
38,
31,
6,
65
] | 54 | [
"31+65=96",
"96/6=16",
"38+16=54"
] | Current State: 54:[38, 31, 6, 65], Operations: []
Exploring Operation: 31+65=96, Resulting Numbers: [38, 6, 96]
Generated Node #2: [38, 6, 96] from Operation: 31+65=96
Current State: 54:[38, 6, 96], Operations: ['31+65=96']
Exploring Operation: 96/6=16, Resulting Numbers: [38, 16]
Generated Node #3: [38, 16] from Operation: 96/6=16
Current State: 54:[38, 16], Operations: ['31+65=96', '96/6=16']
Exploring Operation: 38+16=54, Resulting Numbers: [54]
54,54 equal: Goal Reached
| 4 |
[
52,
41,
6,
88
] | 11 | [
"52+41=93",
"88-6=82",
"93-82=11"
] | Current State: 11:[52, 41, 6, 88], Operations: []
Exploring Operation: 52+41=93, Resulting Numbers: [6, 88, 93]
Generated Node #2: [6, 88, 93] from Operation: 52+41=93
Current State: 11:[6, 88, 93], Operations: ['52+41=93']
Exploring Operation: 88-6=82, Resulting Numbers: [93, 82]
Generated Node #3: [93, 82] from Operation: 88-6=82
Current State: 11:[93, 82], Operations: ['52+41=93', '88-6=82']
Exploring Operation: 93-82=11, Resulting Numbers: [11]
11,11 equal: Goal Reached
| 4 |
[
53,
51,
50,
32
] | 34 | [
"53-51=2",
"32/2=16",
"50-16=34"
] | Current State: 34:[53, 51, 50, 32], Operations: []
Exploring Operation: 53-51=2, Resulting Numbers: [50, 32, 2]
Generated Node #2: [50, 32, 2] from Operation: 53-51=2
Current State: 34:[50, 32, 2], Operations: ['53-51=2']
Exploring Operation: 32/2=16, Resulting Numbers: [50, 16]
Generated Node #3: [50, 16] from Operation: 32/2=16
Current State: 34:[50, 16], Operations: ['53-51=2', '32/2=16']
Exploring Operation: 50-16=34, Resulting Numbers: [34]
34,34 equal: Goal Reached
| 4 |
[
48,
76,
22,
1
] | 51 | [
"76-48=28",
"22+1=23",
"28+23=51"
] | Current State: 51:[48, 76, 22, 1], Operations: []
Exploring Operation: 76-48=28, Resulting Numbers: [22, 1, 28]
Generated Node #2: [22, 1, 28] from Operation: 76-48=28
Current State: 51:[22, 1, 28], Operations: ['76-48=28']
Exploring Operation: 22+1=23, Resulting Numbers: [28, 23]
Generated Node #3: [28, 23] from Operation: 22+1=23
Current State: 51:[28, 23], Operations: ['76-48=28', '22+1=23']
Exploring Operation: 28+23=51, Resulting Numbers: [51]
51,51 equal: Goal Reached
| 4 |
[
9,
10,
9,
30
] | 18 | [
"9*30=270",
"270/10=27",
"27-9=18"
] | Current State: 18:[9, 10, 9, 30], Operations: []
Exploring Operation: 9*30=270, Resulting Numbers: [10, 270]
Generated Node #2: [10, 270] from Operation: 9*30=270
Current State: 18:[10, 270], Operations: ['9*30=270']
Exploring Operation: 270/10=27, Resulting Numbers: [27]
27,18 equal: Goal Reached
Exploring Operation: 27-9=18, Resulting Numbers: [18]
18,18 equal: Goal Reached
| 4 |
[
29,
29,
18,
55
] | 87 | [
"29*55=1595",
"1595-29=1566",
"1566/18=87"
] | Current State: 87:[29, 29, 18, 55], Operations: []
Exploring Operation: 29*55=1595, Resulting Numbers: [18, 1595]
Generated Node #2: [18, 1595] from Operation: 29*55=1595
Current State: 87:[18, 1595], Operations: ['29*55=1595']
Exploring Operation: 1595-29=1566, Resulting Numbers: [18, 1566]
Generated Node #3: [18, 1566] from Operation: 1595-29=1566
Current State: 87:[18, 1566], Operations: ['29*55=1595', '1595-29=1566']
Exploring Operation: 1566/18=87, Resulting Numbers: [87]
87,87 equal: Goal Reached
| 4 |
[
22,
72,
54,
30
] | 19 | [
"54-30=24",
"72/24=3",
"22-3=19"
] | Current State: 19:[22, 72, 54, 30], Operations: []
Exploring Operation: 54-30=24, Resulting Numbers: [22, 72, 24]
Generated Node #2: [22, 72, 24] from Operation: 54-30=24
Current State: 19:[22, 72, 24], Operations: ['54-30=24']
Exploring Operation: 72/24=3, Resulting Numbers: [22, 3]
Generated Node #3: [22, 3] from Operation: 72/24=3
Current State: 19:[22, 3], Operations: ['54-30=24', '72/24=3']
Exploring Operation: 22-3=19, Resulting Numbers: [19]
19,19 equal: Goal Reached
| 4 |
[
32,
69,
50,
52
] | 74 | [
"69-32=37",
"52-50=2",
"37*2=74"
] | Current State: 74:[32, 69, 50, 52], Operations: []
Exploring Operation: 69-32=37, Resulting Numbers: [50, 52, 37]
Generated Node #2: [50, 52, 37] from Operation: 69-32=37
Current State: 74:[50, 52, 37], Operations: ['69-32=37']
Exploring Operation: 52-50=2, Resulting Numbers: [37, 2]
Generated Node #3: [37, 2] from Operation: 52-50=2
Current State: 74:[37, 2], Operations: ['69-32=37', '52-50=2']
Exploring Operation: 37*2=74, Resulting Numbers: [74]
74,74 equal: Goal Reached
| 4 |
[
7,
79,
4,
7
] | 74 | [
"7/7=1",
"79-4=75",
"75-1=74"
] | Current State: 74:[7, 79, 4, 7], Operations: []
Exploring Operation: 7/7=1, Resulting Numbers: [79, 4, 1]
Generated Node #2: [79, 4, 1] from Operation: 7/7=1
Current State: 74:[79, 4, 1], Operations: ['7/7=1']
Exploring Operation: 79-4=75, Resulting Numbers: [1, 75]
Generated Node #3: [1, 75] from Operation: 79-4=75
Current State: 74:[1, 75], Operations: ['7/7=1', '79-4=75']
Exploring Operation: 75-1=74, Resulting Numbers: [74]
74,74 equal: Goal Reached
| 4 |
[
14,
86,
29,
39
] | 10 | [
"14+86=100",
"39-29=10",
"100/10=10"
] | Current State: 10:[14, 86, 29, 39], Operations: []
Exploring Operation: 14+86=100, Resulting Numbers: [29, 39, 100]
Generated Node #2: [29, 39, 100] from Operation: 14+86=100
Current State: 10:[29, 39, 100], Operations: ['14+86=100']
Exploring Operation: 39-29=10, Resulting Numbers: [100, 10]
Generated Node #3: [100, 10] from Operation: 39-29=10
Current State: 10:[100, 10], Operations: ['14+86=100', '39-29=10']
Exploring Operation: 100/10=10, Resulting Numbers: [10]
10,10 equal: Goal Reached
| 4 |
[
52,
19,
67,
50
] | 16 | [
"52-19=33",
"67-50=17",
"33-17=16"
] | Current State: 16:[52, 19, 67, 50], Operations: []
Exploring Operation: 52-19=33, Resulting Numbers: [67, 50, 33]
Generated Node #2: [67, 50, 33] from Operation: 52-19=33
Current State: 16:[67, 50, 33], Operations: ['52-19=33']
Exploring Operation: 67-50=17, Resulting Numbers: [33, 17]
Generated Node #3: [33, 17] from Operation: 67-50=17
Current State: 16:[33, 17], Operations: ['52-19=33', '67-50=17']
Exploring Operation: 33-17=16, Resulting Numbers: [16]
16,16 equal: Goal Reached
| 4 |
[
2,
41,
3,
69
] | 83 | [
"3*69=207",
"207-41=166",
"166/2=83"
] | Current State: 83:[2, 41, 3, 69], Operations: []
Exploring Operation: 3*69=207, Resulting Numbers: [2, 41, 207]
Generated Node #2: [2, 41, 207] from Operation: 3*69=207
Current State: 83:[2, 41, 207], Operations: ['3*69=207']
Exploring Operation: 207-41=166, Resulting Numbers: [2, 166]
Generated Node #3: [2, 166] from Operation: 207-41=166
Current State: 83:[2, 166], Operations: ['3*69=207', '207-41=166']
Exploring Operation: 166/2=83, Resulting Numbers: [83]
83,83 equal: Goal Reached
| 4 |
[
58,
67,
85,
90
] | 53 | [
"85-67=18",
"90/18=5",
"58-5=53"
] | Current State: 53:[58, 67, 85, 90], Operations: []
Exploring Operation: 85-67=18, Resulting Numbers: [58, 90, 18]
Generated Node #2: [58, 90, 18] from Operation: 85-67=18
Current State: 53:[58, 90, 18], Operations: ['85-67=18']
Exploring Operation: 90/18=5, Resulting Numbers: [58, 5]
Generated Node #3: [58, 5] from Operation: 90/18=5
Current State: 53:[58, 5], Operations: ['85-67=18', '90/18=5']
Exploring Operation: 58-5=53, Resulting Numbers: [53]
53,53 equal: Goal Reached
| 4 |
[
16,
73,
78,
17
] | 97 | [
"78-73=5",
"16*5=80",
"17+80=97"
] | Current State: 97:[16, 73, 78, 17], Operations: []
Exploring Operation: 78-73=5, Resulting Numbers: [16, 17, 5]
Generated Node #2: [16, 17, 5] from Operation: 78-73=5
Current State: 97:[16, 17, 5], Operations: ['78-73=5']
Exploring Operation: 16*5=80, Resulting Numbers: [17, 80]
Generated Node #3: [17, 80] from Operation: 16*5=80
Current State: 97:[17, 80], Operations: ['78-73=5', '16*5=80']
Exploring Operation: 17+80=97, Resulting Numbers: [97]
97,97 equal: Goal Reached
| 4 |
[
7,
50,
17,
16
] | 57 | [
"7+50=57",
"17-16=1",
"57*1=57"
] | Current State: 57:[7, 50, 17, 16], Operations: []
Exploring Operation: 7+50=57, Resulting Numbers: [17, 16, 57]
Generated Node #2: [17, 16, 57] from Operation: 7+50=57
Current State: 57:[17, 16, 57], Operations: ['7+50=57']
Exploring Operation: 17-16=1, Resulting Numbers: [57, 1]
Generated Node #3: [57, 1] from Operation: 17-16=1
Current State: 57:[57, 1], Operations: ['7+50=57', '17-16=1']
Exploring Operation: 57*1=57, Resulting Numbers: [57]
57,57 equal: Goal Reached
| 4 |
[
44,
88,
83,
33
] | 16 | [
"44+88=132",
"83+33=116",
"132-116=16"
] | Current State: 16:[44, 88, 83, 33], Operations: []
Exploring Operation: 44+88=132, Resulting Numbers: [83, 33, 132]
Generated Node #2: [83, 33, 132] from Operation: 44+88=132
Current State: 16:[83, 33, 132], Operations: ['44+88=132']
Exploring Operation: 83+33=116, Resulting Numbers: [132, 116]
Generated Node #3: [132, 116] from Operation: 83+33=116
Current State: 16:[132, 116], Operations: ['44+88=132', '83+33=116']
Exploring Operation: 132-116=16, Resulting Numbers: [16]
16,16 equal: Goal Reached
| 4 |
[
69,
35,
23,
30
] | 25 | [
"69/23=3",
"30/3=10",
"35-10=25"
] | Current State: 25:[69, 35, 23, 30], Operations: []
Exploring Operation: 69/23=3, Resulting Numbers: [35, 30, 3]
Generated Node #2: [35, 30, 3] from Operation: 69/23=3
Current State: 25:[35, 30, 3], Operations: ['69/23=3']
Exploring Operation: 30/3=10, Resulting Numbers: [35, 10]
Generated Node #3: [35, 10] from Operation: 30/3=10
Current State: 25:[35, 10], Operations: ['69/23=3', '30/3=10']
Exploring Operation: 35-10=25, Resulting Numbers: [25]
25,25 equal: Goal Reached
| 4 |
[
49,
22,
57,
24
] | 41 | [
"24-22=2",
"49*2=98",
"98-57=41"
] | Current State: 41:[49, 22, 57, 24], Operations: []
Exploring Operation: 24-22=2, Resulting Numbers: [49, 57, 2]
Generated Node #2: [49, 57, 2] from Operation: 24-22=2
Current State: 41:[49, 57, 2], Operations: ['24-22=2']
Exploring Operation: 49*2=98, Resulting Numbers: [57, 98]
Generated Node #3: [57, 98] from Operation: 49*2=98
Current State: 41:[57, 98], Operations: ['24-22=2', '49*2=98']
Exploring Operation: 98-57=41, Resulting Numbers: [41]
41,41 equal: Goal Reached
| 4 |
[
12,
15,
18,
34
] | 90 | [
"18-15=3",
"34*3=102",
"102-12=90"
] | Current State: 90:[12, 15, 18, 34], Operations: []
Exploring Operation: 18-15=3, Resulting Numbers: [12, 34, 3]
Generated Node #2: [12, 34, 3] from Operation: 18-15=3
Current State: 90:[12, 34, 3], Operations: ['18-15=3']
Exploring Operation: 34*3=102, Resulting Numbers: [12, 102]
Generated Node #3: [12, 102] from Operation: 34*3=102
Current State: 90:[12, 102], Operations: ['18-15=3', '34*3=102']
Exploring Operation: 102-12=90, Resulting Numbers: [90]
90,90 equal: Goal Reached
| 4 |
[
5,
35,
24,
80
] | 97 | [
"35/5=7",
"24+80=104",
"104-7=97"
] | Current State: 97:[5, 35, 24, 80], Operations: []
Exploring Operation: 35/5=7, Resulting Numbers: [24, 80, 7]
Generated Node #2: [24, 80, 7] from Operation: 35/5=7
Current State: 97:[24, 80, 7], Operations: ['35/5=7']
Exploring Operation: 24+80=104, Resulting Numbers: [7, 104]
Generated Node #3: [7, 104] from Operation: 24+80=104
Current State: 97:[7, 104], Operations: ['35/5=7', '24+80=104']
Exploring Operation: 104-7=97, Resulting Numbers: [97]
97,97 equal: Goal Reached
| 4 |
[
49,
93,
97,
24
] | 100 | [
"49-24=25",
"97-93=4",
"25*4=100"
] | Current State: 100:[49, 93, 97, 24], Operations: []
Exploring Operation: 49-24=25, Resulting Numbers: [93, 97, 25]
Generated Node #2: [93, 97, 25] from Operation: 49-24=25
Current State: 100:[93, 97, 25], Operations: ['49-24=25']
Exploring Operation: 97-93=4, Resulting Numbers: [25, 4]
Generated Node #3: [25, 4] from Operation: 97-93=4
Current State: 100:[25, 4], Operations: ['49-24=25', '97-93=4']
Exploring Operation: 25*4=100, Resulting Numbers: [100]
100,100 equal: Goal Reached
| 4 |
[
82,
3,
19,
5
] | 74 | [
"19+5=24",
"24/3=8",
"82-8=74"
] | Current State: 74:[82, 3, 19, 5], Operations: []
Exploring Operation: 19+5=24, Resulting Numbers: [82, 3, 24]
Generated Node #2: [82, 3, 24] from Operation: 19+5=24
Current State: 74:[82, 3, 24], Operations: ['19+5=24']
Exploring Operation: 24/3=8, Resulting Numbers: [82, 8]
Generated Node #3: [82, 8] from Operation: 24/3=8
Current State: 74:[82, 8], Operations: ['19+5=24', '24/3=8']
Exploring Operation: 82-8=74, Resulting Numbers: [74]
74,74 equal: Goal Reached
| 4 |
[
26,
3,
86,
29
] | 25 | [
"26+86=112",
"3*29=87",
"112-87=25"
] | Current State: 25:[26, 3, 86, 29], Operations: []
Exploring Operation: 26+86=112, Resulting Numbers: [3, 29, 112]
Generated Node #2: [3, 29, 112] from Operation: 26+86=112
Current State: 25:[3, 29, 112], Operations: ['26+86=112']
Exploring Operation: 3*29=87, Resulting Numbers: [112, 87]
Generated Node #3: [112, 87] from Operation: 3*29=87
Current State: 25:[112, 87], Operations: ['26+86=112', '3*29=87']
Exploring Operation: 112-87=25, Resulting Numbers: [25]
25,25 equal: Goal Reached
| 4 |
[
1,
73,
76,
15
] | 42 | [
"15-1=14",
"76-73=3",
"14*3=42"
] | Current State: 42:[1, 73, 76, 15], Operations: []
Exploring Operation: 15-1=14, Resulting Numbers: [73, 76, 14]
Generated Node #2: [73, 76, 14] from Operation: 15-1=14
Current State: 42:[73, 76, 14], Operations: ['15-1=14']
Exploring Operation: 76-73=3, Resulting Numbers: [14, 3]
Generated Node #3: [14, 3] from Operation: 76-73=3
Current State: 42:[14, 3], Operations: ['15-1=14', '76-73=3']
Exploring Operation: 14*3=42, Resulting Numbers: [42]
42,42 equal: Goal Reached
| 4 |
[
76,
46,
6,
24
] | 36 | [
"76-46=30",
"30-24=6",
"6*6=36"
] | Current State: 36:[76, 46, 6, 24], Operations: []
Exploring Operation: 76-46=30, Resulting Numbers: [6, 24, 30]
Generated Node #2: [6, 24, 30] from Operation: 76-46=30
Current State: 36:[6, 24, 30], Operations: ['76-46=30']
Exploring Operation: 30-24=6, Resulting Numbers: [6, 6]
Generated Node #3: [6, 6] from Operation: 30-24=6
Current State: 36:[6, 6], Operations: ['76-46=30', '30-24=6']
Exploring Operation: 6*6=36, Resulting Numbers: [36]
36,36 equal: Goal Reached
| 4 |
[
68,
57,
24,
49
] | 52 | [
"68+57=125",
"24+49=73",
"125-73=52"
] | Current State: 52:[68, 57, 24, 49], Operations: []
Exploring Operation: 68+57=125, Resulting Numbers: [24, 49, 125]
Generated Node #2: [24, 49, 125] from Operation: 68+57=125
Current State: 52:[24, 49, 125], Operations: ['68+57=125']
Exploring Operation: 24+49=73, Resulting Numbers: [125, 73]
Generated Node #3: [125, 73] from Operation: 24+49=73
Current State: 52:[125, 73], Operations: ['68+57=125', '24+49=73']
Exploring Operation: 125-73=52, Resulting Numbers: [52]
52,52 equal: Goal Reached
| 4 |
[
52,
70,
48,
20
] | 86 | [
"70-52=18",
"48+20=68",
"18+68=86"
] | Current State: 86:[52, 70, 48, 20], Operations: []
Exploring Operation: 70-52=18, Resulting Numbers: [48, 20, 18]
Generated Node #2: [48, 20, 18] from Operation: 70-52=18
Current State: 86:[48, 20, 18], Operations: ['70-52=18']
Exploring Operation: 48+20=68, Resulting Numbers: [18, 68]
Generated Node #3: [18, 68] from Operation: 48+20=68
Current State: 86:[18, 68], Operations: ['70-52=18', '48+20=68']
Exploring Operation: 18+68=86, Resulting Numbers: [86]
86,86 equal: Goal Reached
| 4 |
[
15,
43,
81,
12
] | 29 | [
"43*12=516",
"516-81=435",
"435/15=29"
] | Current State: 29:[15, 43, 81, 12], Operations: []
Exploring Operation: 43*12=516, Resulting Numbers: [15, 81, 516]
Generated Node #2: [15, 81, 516] from Operation: 43*12=516
Current State: 29:[15, 81, 516], Operations: ['43*12=516']
Exploring Operation: 516-81=435, Resulting Numbers: [15, 435]
Generated Node #3: [15, 435] from Operation: 516-81=435
Current State: 29:[15, 435], Operations: ['43*12=516', '516-81=435']
Exploring Operation: 435/15=29, Resulting Numbers: [29]
29,29 equal: Goal Reached
| 4 |
[
73,
48,
81,
16
] | 10 | [
"81-73=8",
"48/8=6",
"16-6=10"
] | Current State: 10:[73, 48, 81, 16], Operations: []
Exploring Operation: 81-73=8, Resulting Numbers: [48, 16, 8]
Generated Node #2: [48, 16, 8] from Operation: 81-73=8
Current State: 10:[48, 16, 8], Operations: ['81-73=8']
Exploring Operation: 48/8=6, Resulting Numbers: [16, 6]
Generated Node #3: [16, 6] from Operation: 48/8=6
Current State: 10:[16, 6], Operations: ['81-73=8', '48/8=6']
Exploring Operation: 16-6=10, Resulting Numbers: [10]
10,10 equal: Goal Reached
| 4 |
[
78,
58,
34,
51
] | 30 | [
"78-58=20",
"51*20=1020",
"1020/34=30"
] | Current State: 30:[78, 58, 34, 51], Operations: []
Exploring Operation: 78-58=20, Resulting Numbers: [34, 51, 20]
Generated Node #2: [34, 51, 20] from Operation: 78-58=20
Current State: 30:[34, 51, 20], Operations: ['78-58=20']
Exploring Operation: 51*20=1020, Resulting Numbers: [34, 1020]
Generated Node #3: [34, 1020] from Operation: 51*20=1020
Current State: 30:[34, 1020], Operations: ['78-58=20', '51*20=1020']
Exploring Operation: 1020/34=30, Resulting Numbers: [30]
30,30 equal: Goal Reached
| 4 |
[
28,
23,
85,
40
] | 25 | [
"28-23=5",
"85+40=125",
"125/5=25"
] | Current State: 25:[28, 23, 85, 40], Operations: []
Exploring Operation: 28-23=5, Resulting Numbers: [85, 40, 5]
Generated Node #2: [85, 40, 5] from Operation: 28-23=5
Current State: 25:[85, 40, 5], Operations: ['28-23=5']
Exploring Operation: 85+40=125, Resulting Numbers: [5, 125]
Generated Node #3: [5, 125] from Operation: 85+40=125
Current State: 25:[5, 125], Operations: ['28-23=5', '85+40=125']
Exploring Operation: 125/5=25, Resulting Numbers: [25]
25,25 equal: Goal Reached
| 4 |
[
56,
86,
58,
13
] | 71 | [
"56+86=142",
"58+13=71",
"142-71=71"
] | Current State: 71:[56, 86, 58, 13], Operations: []
Exploring Operation: 56+86=142, Resulting Numbers: [58, 13, 142]
Generated Node #2: [58, 13, 142] from Operation: 56+86=142
Current State: 71:[58, 13, 142], Operations: ['56+86=142']
Exploring Operation: 58+13=71, Resulting Numbers: [142, 71]
Generated Node #3: [142, 71] from Operation: 58+13=71
Current State: 71:[142, 71], Operations: ['56+86=142', '58+13=71']
Exploring Operation: 142-71=71, Resulting Numbers: [71]
71,71 equal: Goal Reached
| 4 |
[
55,
78,
69,
53
] | 39 | [
"78-55=23",
"69-53=16",
"23+16=39"
] | Current State: 39:[55, 78, 69, 53], Operations: []
Exploring Operation: 78-55=23, Resulting Numbers: [69, 53, 23]
Generated Node #2: [69, 53, 23] from Operation: 78-55=23
Current State: 39:[69, 53, 23], Operations: ['78-55=23']
Exploring Operation: 69-53=16, Resulting Numbers: [23, 16]
Generated Node #3: [23, 16] from Operation: 69-53=16
Current State: 39:[23, 16], Operations: ['78-55=23', '69-53=16']
Exploring Operation: 23+16=39, Resulting Numbers: [39]
39,39 equal: Goal Reached
| 4 |
[
43,
44,
72,
94
] | 22 | [
"44-43=1",
"94-72=22",
"1*22=22"
] | Current State: 22:[43, 44, 72, 94], Operations: []
Exploring Operation: 44-43=1, Resulting Numbers: [72, 94, 1]
Generated Node #2: [72, 94, 1] from Operation: 44-43=1
Current State: 22:[72, 94, 1], Operations: ['44-43=1']
Exploring Operation: 94-72=22, Resulting Numbers: [1, 22]
Generated Node #3: [1, 22] from Operation: 94-72=22
Current State: 22:[1, 22], Operations: ['44-43=1', '94-72=22']
Exploring Operation: 1*22=22, Resulting Numbers: [22]
22,22 equal: Goal Reached
| 4 |
[
8,
3,
30,
3
] | 89 | [
"30-3=27",
"3*27=81",
"8+81=89"
] | Current State: 89:[8, 3, 30, 3], Operations: []
Exploring Operation: 30-3=27, Resulting Numbers: [8, 27]
Generated Node #2: [8, 27] from Operation: 30-3=27
Current State: 89:[8, 27], Operations: ['30-3=27']
Exploring Operation: 3*27=81, Resulting Numbers: [8, 81]
Generated Node #3: [8, 81] from Operation: 3*27=81
Current State: 89:[8, 81], Operations: ['30-3=27', '3*27=81']
Exploring Operation: 8+81=89, Resulting Numbers: [89]
89,89 equal: Goal Reached
| 4 |
[
6,
4,
78,
36
] | 44 | [
"6-4=2",
"78-36=42",
"2+42=44"
] | Current State: 44:[6, 4, 78, 36], Operations: []
Exploring Operation: 6-4=2, Resulting Numbers: [78, 36, 2]
Generated Node #2: [78, 36, 2] from Operation: 6-4=2
Current State: 44:[78, 36, 2], Operations: ['6-4=2']
Exploring Operation: 78-36=42, Resulting Numbers: [2, 42]
Generated Node #3: [2, 42] from Operation: 78-36=42
Current State: 44:[2, 42], Operations: ['6-4=2', '78-36=42']
Exploring Operation: 2+42=44, Resulting Numbers: [44]
44,44 equal: Goal Reached
| 4 |
[
87,
69,
93,
64
] | 36 | [
"87+93=180",
"69-64=5",
"180/5=36"
] | Current State: 36:[87, 69, 93, 64], Operations: []
Exploring Operation: 87+93=180, Resulting Numbers: [69, 64, 180]
Generated Node #2: [69, 64, 180] from Operation: 87+93=180
Current State: 36:[69, 64, 180], Operations: ['87+93=180']
Exploring Operation: 69-64=5, Resulting Numbers: [180, 5]
Generated Node #3: [180, 5] from Operation: 69-64=5
Current State: 36:[180, 5], Operations: ['87+93=180', '69-64=5']
Exploring Operation: 180/5=36, Resulting Numbers: [36]
36,36 equal: Goal Reached
| 4 |
[
38,
84,
54,
84
] | 16 | [
"38+84=122",
"54+84=138",
"138-122=16"
] | Current State: 16:[38, 84, 54, 84], Operations: []
Exploring Operation: 38+84=122, Resulting Numbers: [54, 122]
Generated Node #2: [54, 122] from Operation: 38+84=122
Current State: 16:[54, 122], Operations: ['38+84=122']
Exploring Operation: 54+84=138, Resulting Numbers: [122, 138]
Generated Node #3: [122, 138] from Operation: 54+84=138
Current State: 16:[122, 138], Operations: ['38+84=122', '54+84=138']
Exploring Operation: 138-122=16, Resulting Numbers: [16]
16,16 equal: Goal Reached
| 4 |
[
42,
28,
99,
69
] | 45 | [
"99-69=30",
"42*30=1260",
"1260/28=45"
] | Current State: 45:[42, 28, 99, 69], Operations: []
Exploring Operation: 99-69=30, Resulting Numbers: [42, 28, 30]
Generated Node #2: [42, 28, 30] from Operation: 99-69=30
Current State: 45:[42, 28, 30], Operations: ['99-69=30']
Exploring Operation: 42*30=1260, Resulting Numbers: [28, 1260]
Generated Node #3: [28, 1260] from Operation: 42*30=1260
Current State: 45:[28, 1260], Operations: ['99-69=30', '42*30=1260']
Exploring Operation: 1260/28=45, Resulting Numbers: [45]
45,45 equal: Goal Reached
| 4 |
[
42,
81,
94,
26
] | 29 | [
"81-42=39",
"94-26=68",
"68-39=29"
] | Current State: 29:[42, 81, 94, 26], Operations: []
Exploring Operation: 81-42=39, Resulting Numbers: [94, 26, 39]
Generated Node #2: [94, 26, 39] from Operation: 81-42=39
Current State: 29:[94, 26, 39], Operations: ['81-42=39']
Exploring Operation: 94-26=68, Resulting Numbers: [39, 68]
Generated Node #3: [39, 68] from Operation: 94-26=68
Current State: 29:[39, 68], Operations: ['81-42=39', '94-26=68']
Exploring Operation: 68-39=29, Resulting Numbers: [29]
29,29 equal: Goal Reached
| 4 |
[
67,
52,
46,
50
] | 88 | [
"52-50=2",
"67*2=134",
"134-46=88"
] | Current State: 88:[67, 52, 46, 50], Operations: []
Exploring Operation: 52-50=2, Resulting Numbers: [67, 46, 2]
Generated Node #2: [67, 46, 2] from Operation: 52-50=2
Current State: 88:[67, 46, 2], Operations: ['52-50=2']
Exploring Operation: 67*2=134, Resulting Numbers: [46, 134]
Generated Node #3: [46, 134] from Operation: 67*2=134
Current State: 88:[46, 134], Operations: ['52-50=2', '67*2=134']
Exploring Operation: 134-46=88, Resulting Numbers: [88]
88,88 equal: Goal Reached
| 4 |
[
63,
31,
26,
87
] | 29 | [
"63-31=32",
"87-26=61",
"61-32=29"
] | Current State: 29:[63, 31, 26, 87], Operations: []
Exploring Operation: 63-31=32, Resulting Numbers: [26, 87, 32]
Generated Node #2: [26, 87, 32] from Operation: 63-31=32
Current State: 29:[26, 87, 32], Operations: ['63-31=32']
Exploring Operation: 87-26=61, Resulting Numbers: [32, 61]
Generated Node #3: [32, 61] from Operation: 87-26=61
Current State: 29:[32, 61], Operations: ['63-31=32', '87-26=61']
Exploring Operation: 61-32=29, Resulting Numbers: [29]
29,29 equal: Goal Reached
| 4 |
[
25,
41,
6,
12
] | 54 | [
"25*12=300",
"41*6=246",
"300-246=54"
] | Current State: 54:[25, 41, 6, 12], Operations: []
Exploring Operation: 25*12=300, Resulting Numbers: [41, 6, 300]
Generated Node #2: [41, 6, 300] from Operation: 25*12=300
Current State: 54:[41, 6, 300], Operations: ['25*12=300']
Exploring Operation: 41*6=246, Resulting Numbers: [300, 246]
Generated Node #3: [300, 246] from Operation: 41*6=246
Current State: 54:[300, 246], Operations: ['25*12=300', '41*6=246']
Exploring Operation: 300-246=54, Resulting Numbers: [54]
54,54 equal: Goal Reached
| 4 |
[
12,
4,
17,
13
] | 16 | [
"12*17=204",
"4+204=208",
"208/13=16"
] | Current State: 16:[12, 4, 17, 13], Operations: []
Exploring Operation: 12*17=204, Resulting Numbers: [4, 13, 204]
Generated Node #2: [4, 13, 204] from Operation: 12*17=204
Current State: 16:[4, 13, 204], Operations: ['12*17=204']
Exploring Operation: 4+204=208, Resulting Numbers: [13, 208]
Generated Node #3: [13, 208] from Operation: 4+204=208
Current State: 16:[13, 208], Operations: ['12*17=204', '4+204=208']
Exploring Operation: 208/13=16, Resulting Numbers: [16]
16,16 equal: Goal Reached
| 4 |
[
96,
54,
78,
50
] | 26 | [
"96+54=150",
"78*50=3900",
"3900/150=26"
] | Current State: 26:[96, 54, 78, 50], Operations: []
Exploring Operation: 96+54=150, Resulting Numbers: [78, 50, 150]
Generated Node #2: [78, 50, 150] from Operation: 96+54=150
Current State: 26:[78, 50, 150], Operations: ['96+54=150']
Exploring Operation: 78*50=3900, Resulting Numbers: [150, 3900]
Generated Node #3: [150, 3900] from Operation: 78*50=3900
Current State: 26:[150, 3900], Operations: ['96+54=150', '78*50=3900']
Exploring Operation: 3900/150=26, Resulting Numbers: [26]
26,26 equal: Goal Reached
| 4 |
[
91,
27,
29,
46
] | 68 | [
"29-27=2",
"46/2=23",
"91-23=68"
] | Current State: 68:[91, 27, 29, 46], Operations: []
Exploring Operation: 29-27=2, Resulting Numbers: [91, 46, 2]
Generated Node #2: [91, 46, 2] from Operation: 29-27=2
Current State: 68:[91, 46, 2], Operations: ['29-27=2']
Exploring Operation: 46/2=23, Resulting Numbers: [91, 23]
Generated Node #3: [91, 23] from Operation: 46/2=23
Current State: 68:[91, 23], Operations: ['29-27=2', '46/2=23']
Exploring Operation: 91-23=68, Resulting Numbers: [68]
68,68 equal: Goal Reached
| 4 |
[
65,
55,
3,
44
] | 49 | [
"65*44=2860",
"2860/55=52",
"52-3=49"
] | Current State: 49:[65, 55, 3, 44], Operations: []
Exploring Operation: 65*44=2860, Resulting Numbers: [55, 3, 2860]
Generated Node #2: [55, 3, 2860] from Operation: 65*44=2860
Current State: 49:[55, 3, 2860], Operations: ['65*44=2860']
Exploring Operation: 2860/55=52, Resulting Numbers: [3, 52]
Generated Node #3: [3, 52] from Operation: 2860/55=52
Current State: 49:[3, 52], Operations: ['65*44=2860', '2860/55=52']
Exploring Operation: 52-3=49, Resulting Numbers: [49]
49,49 equal: Goal Reached
| 4 |
[
51,
48,
16,
57
] | 35 | [
"51-48=3",
"57/3=19",
"16+19=35"
] | Current State: 35:[51, 48, 16, 57], Operations: []
Exploring Operation: 51-48=3, Resulting Numbers: [16, 57, 3]
Generated Node #2: [16, 57, 3] from Operation: 51-48=3
Current State: 35:[16, 57, 3], Operations: ['51-48=3']
Exploring Operation: 57/3=19, Resulting Numbers: [16, 19]
Generated Node #3: [16, 19] from Operation: 57/3=19
Current State: 35:[16, 19], Operations: ['51-48=3', '57/3=19']
Exploring Operation: 16+19=35, Resulting Numbers: [35]
35,35 equal: Goal Reached
| 4 |
[
67,
3,
19,
12
] | 33 | [
"67-3=64",
"19+12=31",
"64-31=33"
] | Current State: 33:[67, 3, 19, 12], Operations: []
Exploring Operation: 67-3=64, Resulting Numbers: [19, 12, 64]
Generated Node #2: [19, 12, 64] from Operation: 67-3=64
Current State: 33:[19, 12, 64], Operations: ['67-3=64']
Exploring Operation: 19+12=31, Resulting Numbers: [64, 31]
Generated Node #3: [64, 31] from Operation: 19+12=31
Current State: 33:[64, 31], Operations: ['67-3=64', '19+12=31']
Exploring Operation: 64-31=33, Resulting Numbers: [33]
33,33 equal: Goal Reached
| 4 |
[
6,
27,
96,
94
] | 23 | [
"27-6=21",
"96-94=2",
"21+2=23"
] | Current State: 23:[6, 27, 96, 94], Operations: []
Exploring Operation: 27-6=21, Resulting Numbers: [96, 94, 21]
Generated Node #2: [96, 94, 21] from Operation: 27-6=21
Current State: 23:[96, 94, 21], Operations: ['27-6=21']
Exploring Operation: 96-94=2, Resulting Numbers: [21, 2]
Generated Node #3: [21, 2] from Operation: 96-94=2
Current State: 23:[21, 2], Operations: ['27-6=21', '96-94=2']
Exploring Operation: 21+2=23, Resulting Numbers: [23]
23,23 equal: Goal Reached
| 4 |
[
39,
20,
83,
21
] | 81 | [
"39-20=19",
"83-21=62",
"19+62=81"
] | Current State: 81:[39, 20, 83, 21], Operations: []
Exploring Operation: 39-20=19, Resulting Numbers: [83, 21, 19]
Generated Node #2: [83, 21, 19] from Operation: 39-20=19
Current State: 81:[83, 21, 19], Operations: ['39-20=19']
Exploring Operation: 83-21=62, Resulting Numbers: [19, 62]
Generated Node #3: [19, 62] from Operation: 83-21=62
Current State: 81:[19, 62], Operations: ['39-20=19', '83-21=62']
Exploring Operation: 19+62=81, Resulting Numbers: [81]
81,81 equal: Goal Reached
| 4 |
[
66,
7,
56,
70
] | 14 | [
"66-56=10",
"70/10=7",
"7+7=14"
] | Current State: 14:[66, 7, 56, 70], Operations: []
Exploring Operation: 66-56=10, Resulting Numbers: [7, 70, 10]
Generated Node #2: [7, 70, 10] from Operation: 66-56=10
Current State: 14:[7, 70, 10], Operations: ['66-56=10']
Exploring Operation: 70/10=7, Resulting Numbers: [7, 7]
Generated Node #3: [7, 7] from Operation: 70/10=7
Current State: 14:[7, 7], Operations: ['66-56=10', '70/10=7']
Exploring Operation: 7+7=14, Resulting Numbers: [14]
14,14 equal: Goal Reached
| 4 |
[
62,
47,
1,
42
] | 26 | [
"62-47=15",
"42-1=41",
"41-15=26"
] | Current State: 26:[62, 47, 1, 42], Operations: []
Exploring Operation: 62-47=15, Resulting Numbers: [1, 42, 15]
Generated Node #2: [1, 42, 15] from Operation: 62-47=15
Current State: 26:[1, 42, 15], Operations: ['62-47=15']
Exploring Operation: 42-1=41, Resulting Numbers: [15, 41]
Generated Node #3: [15, 41] from Operation: 42-1=41
Current State: 26:[15, 41], Operations: ['62-47=15', '42-1=41']
Exploring Operation: 41-15=26, Resulting Numbers: [26]
26,26 equal: Goal Reached
| 4 |
[
80,
64,
51,
5
] | 30 | [
"80-64=16",
"51-5=46",
"46-16=30"
] | Current State: 30:[80, 64, 51, 5], Operations: []
Exploring Operation: 80-64=16, Resulting Numbers: [51, 5, 16]
Generated Node #2: [51, 5, 16] from Operation: 80-64=16
Current State: 30:[51, 5, 16], Operations: ['80-64=16']
Exploring Operation: 51-5=46, Resulting Numbers: [16, 46]
Generated Node #3: [16, 46] from Operation: 51-5=46
Current State: 30:[16, 46], Operations: ['80-64=16', '51-5=46']
Exploring Operation: 46-16=30, Resulting Numbers: [30]
30,30 equal: Goal Reached
| 4 |
[
21,
26,
49,
25
] | 71 | [
"21+26=47",
"49-25=24",
"47+24=71"
] | Current State: 71:[21, 26, 49, 25], Operations: []
Exploring Operation: 21+26=47, Resulting Numbers: [49, 25, 47]
Generated Node #2: [49, 25, 47] from Operation: 21+26=47
Current State: 71:[49, 25, 47], Operations: ['21+26=47']
Exploring Operation: 49-25=24, Resulting Numbers: [47, 24]
Generated Node #3: [47, 24] from Operation: 49-25=24
Current State: 71:[47, 24], Operations: ['21+26=47', '49-25=24']
Exploring Operation: 47+24=71, Resulting Numbers: [71]
71,71 equal: Goal Reached
| 4 |
[
89,
74,
9,
98
] | 92 | [
"89-74=15",
"9+98=107",
"107-15=92"
] | Current State: 92:[89, 74, 9, 98], Operations: []
Exploring Operation: 89-74=15, Resulting Numbers: [9, 98, 15]
Generated Node #2: [9, 98, 15] from Operation: 89-74=15
Current State: 92:[9, 98, 15], Operations: ['89-74=15']
Exploring Operation: 9+98=107, Resulting Numbers: [15, 107]
Generated Node #3: [15, 107] from Operation: 9+98=107
Current State: 92:[15, 107], Operations: ['89-74=15', '9+98=107']
Exploring Operation: 107-15=92, Resulting Numbers: [92]
92,92 equal: Goal Reached
| 4 |
[
42,
73,
1,
1
] | 52 | [
"1+1=2",
"42/2=21",
"73-21=52"
] | Current State: 52:[42, 73, 1, 1], Operations: []
Exploring Operation: 1+1=2, Resulting Numbers: [42, 73, 2]
Generated Node #2: [42, 73, 2] from Operation: 1+1=2
Current State: 52:[42, 73, 2], Operations: ['1+1=2']
Exploring Operation: 42/2=21, Resulting Numbers: [73, 21]
Generated Node #3: [73, 21] from Operation: 42/2=21
Current State: 52:[73, 21], Operations: ['1+1=2', '42/2=21']
Exploring Operation: 73-21=52, Resulting Numbers: [52]
52,52 equal: Goal Reached
| 4 |
[
46,
15,
36,
75
] | 50 | [
"46+15=61",
"36+75=111",
"111-61=50"
] | Current State: 50:[46, 15, 36, 75], Operations: []
Exploring Operation: 46+15=61, Resulting Numbers: [36, 75, 61]
Generated Node #2: [36, 75, 61] from Operation: 46+15=61
Current State: 50:[36, 75, 61], Operations: ['46+15=61']
Exploring Operation: 36+75=111, Resulting Numbers: [61, 111]
Generated Node #3: [61, 111] from Operation: 36+75=111
Current State: 50:[61, 111], Operations: ['46+15=61', '36+75=111']
Exploring Operation: 111-61=50, Resulting Numbers: [50]
50,50 equal: Goal Reached
| 4 |
[
69,
76,
75,
2
] | 13 | [
"75-69=6",
"76+2=78",
"78/6=13"
] | Current State: 13:[69, 76, 75, 2], Operations: []
Exploring Operation: 75-69=6, Resulting Numbers: [76, 2, 6]
Generated Node #2: [76, 2, 6] from Operation: 75-69=6
Current State: 13:[76, 2, 6], Operations: ['75-69=6']
Exploring Operation: 76+2=78, Resulting Numbers: [6, 78]
Generated Node #3: [6, 78] from Operation: 76+2=78
Current State: 13:[6, 78], Operations: ['75-69=6', '76+2=78']
Exploring Operation: 78/6=13, Resulting Numbers: [13]
13,13 equal: Goal Reached
| 4 |
[
98,
87,
43,
32
] | 22 | [
"98-87=11",
"43-32=11",
"11+11=22"
] | Current State: 22:[98, 87, 43, 32], Operations: []
Exploring Operation: 98-87=11, Resulting Numbers: [43, 32, 11]
Generated Node #2: [43, 32, 11] from Operation: 98-87=11
Current State: 22:[43, 32, 11], Operations: ['98-87=11']
Exploring Operation: 43-32=11, Resulting Numbers: [11, 11]
Generated Node #3: [11, 11] from Operation: 43-32=11
Current State: 22:[11, 11], Operations: ['98-87=11', '43-32=11']
Exploring Operation: 11+11=22, Resulting Numbers: [22]
22,22 equal: Goal Reached
| 4 |
[
35,
29,
3,
15
] | 87 | [
"35-29=6",
"15*6=90",
"90-3=87"
] | Current State: 87:[35, 29, 3, 15], Operations: []
Exploring Operation: 35-29=6, Resulting Numbers: [3, 15, 6]
Generated Node #2: [3, 15, 6] from Operation: 35-29=6
Current State: 87:[3, 15, 6], Operations: ['35-29=6']
Exploring Operation: 15*6=90, Resulting Numbers: [3, 90]
Generated Node #3: [3, 90] from Operation: 15*6=90
Current State: 87:[3, 90], Operations: ['35-29=6', '15*6=90']
Exploring Operation: 90-3=87, Resulting Numbers: [87]
87,87 equal: Goal Reached
| 4 |
[
5,
16,
29,
17
] | 26 | [
"16+29=45",
"45/5=9",
"17+9=26"
] | Current State: 26:[5, 16, 29, 17], Operations: []
Exploring Operation: 16+29=45, Resulting Numbers: [5, 17, 45]
Generated Node #2: [5, 17, 45] from Operation: 16+29=45
Current State: 26:[5, 17, 45], Operations: ['16+29=45']
Exploring Operation: 45/5=9, Resulting Numbers: [17, 9]
Generated Node #3: [17, 9] from Operation: 45/5=9
Current State: 26:[17, 9], Operations: ['16+29=45', '45/5=9']
Exploring Operation: 17+9=26, Resulting Numbers: [26]
26,26 equal: Goal Reached
| 4 |
[
9,
48,
11,
32
] | 77 | [
"48-9=39",
"39-32=7",
"11*7=77"
] | Current State: 77:[9, 48, 11, 32], Operations: []
Exploring Operation: 48-9=39, Resulting Numbers: [11, 32, 39]
Generated Node #2: [11, 32, 39] from Operation: 48-9=39
Current State: 77:[11, 32, 39], Operations: ['48-9=39']
Exploring Operation: 39-32=7, Resulting Numbers: [11, 7]
Generated Node #3: [11, 7] from Operation: 39-32=7
Current State: 77:[11, 7], Operations: ['48-9=39', '39-32=7']
Exploring Operation: 11*7=77, Resulting Numbers: [77]
77,77 equal: Goal Reached
| 4 |
[
66,
85,
61,
77
] | 40 | [
"66-61=5",
"85-77=8",
"5*8=40"
] | Current State: 40:[66, 85, 61, 77], Operations: []
Exploring Operation: 66-61=5, Resulting Numbers: [85, 77, 5]
Generated Node #2: [85, 77, 5] from Operation: 66-61=5
Current State: 40:[85, 77, 5], Operations: ['66-61=5']
Exploring Operation: 85-77=8, Resulting Numbers: [5, 8]
Generated Node #3: [5, 8] from Operation: 85-77=8
Current State: 40:[5, 8], Operations: ['66-61=5', '85-77=8']
Exploring Operation: 5*8=40, Resulting Numbers: [40]
40,40 equal: Goal Reached
| 4 |
[
43,
84,
30,
15
] | 27 | [
"43-15=28",
"84/28=3",
"30-3=27"
] | Current State: 27:[43, 84, 30, 15], Operations: []
Exploring Operation: 43-15=28, Resulting Numbers: [84, 30, 28]
Generated Node #2: [84, 30, 28] from Operation: 43-15=28
Current State: 27:[84, 30, 28], Operations: ['43-15=28']
Exploring Operation: 84/28=3, Resulting Numbers: [30, 3]
Generated Node #3: [30, 3] from Operation: 84/28=3
Current State: 27:[30, 3], Operations: ['43-15=28', '84/28=3']
Exploring Operation: 30-3=27, Resulting Numbers: [27]
27,27 equal: Goal Reached
| 4 |
[
36,
52,
93,
39
] | 78 | [
"93-39=54",
"52*54=2808",
"2808/36=78"
] | Current State: 78:[36, 52, 93, 39], Operations: []
Exploring Operation: 93-39=54, Resulting Numbers: [36, 52, 54]
Generated Node #2: [36, 52, 54] from Operation: 93-39=54
Current State: 78:[36, 52, 54], Operations: ['93-39=54']
Exploring Operation: 52*54=2808, Resulting Numbers: [36, 2808]
Generated Node #3: [36, 2808] from Operation: 52*54=2808
Current State: 78:[36, 2808], Operations: ['93-39=54', '52*54=2808']
Exploring Operation: 2808/36=78, Resulting Numbers: [78]
78,78 equal: Goal Reached
| 4 |
[
92,
91,
36,
70
] | 35 | [
"92-91=1",
"70-36=34",
"1+34=35"
] | Current State: 35:[92, 91, 36, 70], Operations: []
Exploring Operation: 92-91=1, Resulting Numbers: [36, 70, 1]
Generated Node #2: [36, 70, 1] from Operation: 92-91=1
Current State: 35:[36, 70, 1], Operations: ['92-91=1']
Exploring Operation: 70-36=34, Resulting Numbers: [1, 34]
Generated Node #3: [1, 34] from Operation: 70-36=34
Current State: 35:[1, 34], Operations: ['92-91=1', '70-36=34']
Exploring Operation: 1+34=35, Resulting Numbers: [35]
35,35 equal: Goal Reached
| 4 |
[
93,
88,
22,
42
] | 47 | [
"93-42=51",
"88/22=4",
"51-4=47"
] | Current State: 47:[93, 88, 22, 42], Operations: []
Exploring Operation: 93-42=51, Resulting Numbers: [88, 22, 51]
Generated Node #2: [88, 22, 51] from Operation: 93-42=51
Current State: 47:[88, 22, 51], Operations: ['93-42=51']
Exploring Operation: 88/22=4, Resulting Numbers: [51, 4]
Generated Node #3: [51, 4] from Operation: 88/22=4
Current State: 47:[51, 4], Operations: ['93-42=51', '88/22=4']
Exploring Operation: 51-4=47, Resulting Numbers: [47]
47,47 equal: Goal Reached
| 4 |
[
90,
9,
75,
15
] | 21 | [
"90*9=810",
"810/15=54",
"75-54=21"
] | Current State: 21:[90, 9, 75, 15], Operations: []
Exploring Operation: 90*9=810, Resulting Numbers: [75, 15, 810]
Generated Node #2: [75, 15, 810] from Operation: 90*9=810
Current State: 21:[75, 15, 810], Operations: ['90*9=810']
Exploring Operation: 810/15=54, Resulting Numbers: [75, 54]
Generated Node #3: [75, 54] from Operation: 810/15=54
Current State: 21:[75, 54], Operations: ['90*9=810', '810/15=54']
Exploring Operation: 75-54=21, Resulting Numbers: [21]
21,21 equal: Goal Reached
| 4 |
[
99,
89,
90,
3
] | 32 | [
"99/3=33",
"90-89=1",
"33-1=32"
] | Current State: 32:[99, 89, 90, 3], Operations: []
Exploring Operation: 99/3=33, Resulting Numbers: [89, 90, 33]
Generated Node #2: [89, 90, 33] from Operation: 99/3=33
Current State: 32:[89, 90, 33], Operations: ['99/3=33']
Exploring Operation: 90-89=1, Resulting Numbers: [33, 1]
Generated Node #3: [33, 1] from Operation: 90-89=1
Current State: 32:[33, 1], Operations: ['99/3=33', '90-89=1']
Exploring Operation: 33-1=32, Resulting Numbers: [32]
32,32 equal: Goal Reached
| 4 |
[
74,
62,
41,
40
] | 55 | [
"74+62=136",
"41+40=81",
"136-81=55"
] | Current State: 55:[74, 62, 41, 40], Operations: []
Exploring Operation: 74+62=136, Resulting Numbers: [41, 40, 136]
Generated Node #2: [41, 40, 136] from Operation: 74+62=136
Current State: 55:[41, 40, 136], Operations: ['74+62=136']
Exploring Operation: 41+40=81, Resulting Numbers: [136, 81]
Generated Node #3: [136, 81] from Operation: 41+40=81
Current State: 55:[136, 81], Operations: ['74+62=136', '41+40=81']
Exploring Operation: 136-81=55, Resulting Numbers: [55]
55,55 equal: Goal Reached
| 4 |
[
73,
59,
66,
22
] | 42 | [
"73-59=14",
"66/22=3",
"14*3=42"
] | Current State: 42:[73, 59, 66, 22], Operations: []
Exploring Operation: 73-59=14, Resulting Numbers: [66, 22, 14]
Generated Node #2: [66, 22, 14] from Operation: 73-59=14
Current State: 42:[66, 22, 14], Operations: ['73-59=14']
Exploring Operation: 66/22=3, Resulting Numbers: [14, 3]
Generated Node #3: [14, 3] from Operation: 66/22=3
Current State: 42:[14, 3], Operations: ['73-59=14', '66/22=3']
Exploring Operation: 14*3=42, Resulting Numbers: [42]
42,42 equal: Goal Reached
| 4 |
[
7,
23,
62,
61
] | 29 | [
"7+23=30",
"62-61=1",
"30-1=29"
] | Current State: 29:[7, 23, 62, 61], Operations: []
Exploring Operation: 7+23=30, Resulting Numbers: [62, 61, 30]
Generated Node #2: [62, 61, 30] from Operation: 7+23=30
Current State: 29:[62, 61, 30], Operations: ['7+23=30']
Exploring Operation: 62-61=1, Resulting Numbers: [30, 1]
Generated Node #3: [30, 1] from Operation: 62-61=1
Current State: 29:[30, 1], Operations: ['7+23=30', '62-61=1']
Exploring Operation: 30-1=29, Resulting Numbers: [29]
29,29 equal: Goal Reached
| 4 |
[
9,
44,
73,
2
] | 69 | [
"9+2=11",
"44/11=4",
"73-4=69"
] | Current State: 69:[9, 44, 73, 2], Operations: []
Exploring Operation: 9+2=11, Resulting Numbers: [44, 73, 11]
Generated Node #2: [44, 73, 11] from Operation: 9+2=11
Current State: 69:[44, 73, 11], Operations: ['9+2=11']
Exploring Operation: 44/11=4, Resulting Numbers: [73, 4]
Generated Node #3: [73, 4] from Operation: 44/11=4
Current State: 69:[73, 4], Operations: ['9+2=11', '44/11=4']
Exploring Operation: 73-4=69, Resulting Numbers: [69]
69,69 equal: Goal Reached
| 4 |
[
48,
77,
54,
18
] | 93 | [
"48*18=864",
"864/54=16",
"77+16=93"
] | Current State: 93:[48, 77, 54, 18], Operations: []
Exploring Operation: 48*18=864, Resulting Numbers: [77, 54, 864]
Generated Node #2: [77, 54, 864] from Operation: 48*18=864
Current State: 93:[77, 54, 864], Operations: ['48*18=864']
Exploring Operation: 864/54=16, Resulting Numbers: [77, 16]
Generated Node #3: [77, 16] from Operation: 864/54=16
Current State: 93:[77, 16], Operations: ['48*18=864', '864/54=16']
Exploring Operation: 77+16=93, Resulting Numbers: [93]
93,93 equal: Goal Reached
| 4 |
[
59,
47,
15,
24
] | 30 | [
"59-47=12",
"15*24=360",
"360/12=30"
] | Current State: 30:[59, 47, 15, 24], Operations: []
Exploring Operation: 59-47=12, Resulting Numbers: [15, 24, 12]
Generated Node #2: [15, 24, 12] from Operation: 59-47=12
Current State: 30:[15, 24, 12], Operations: ['59-47=12']
Exploring Operation: 15*24=360, Resulting Numbers: [12, 360]
Generated Node #3: [12, 360] from Operation: 15*24=360
Current State: 30:[12, 360], Operations: ['59-47=12', '15*24=360']
Exploring Operation: 360/12=30, Resulting Numbers: [30]
30,30 equal: Goal Reached
| 4 |
[
43,
47,
22,
82
] | 66 | [
"47+82=129",
"129/43=3",
"22*3=66"
] | Current State: 66:[43, 47, 22, 82], Operations: []
Exploring Operation: 47+82=129, Resulting Numbers: [43, 22, 129]
Generated Node #2: [43, 22, 129] from Operation: 47+82=129
Current State: 66:[43, 22, 129], Operations: ['47+82=129']
Exploring Operation: 129/43=3, Resulting Numbers: [22, 3]
Generated Node #3: [22, 3] from Operation: 129/43=3
Current State: 66:[22, 3], Operations: ['47+82=129', '129/43=3']
Exploring Operation: 22*3=66, Resulting Numbers: [66]
66,66 equal: Goal Reached
| 4 |
[
43,
79,
45,
4
] | 71 | [
"45-43=2",
"4*2=8",
"79-8=71"
] | Current State: 71:[43, 79, 45, 4], Operations: []
Exploring Operation: 45-43=2, Resulting Numbers: [79, 4, 2]
Generated Node #2: [79, 4, 2] from Operation: 45-43=2
Current State: 71:[79, 4, 2], Operations: ['45-43=2']
Exploring Operation: 4*2=8, Resulting Numbers: [79, 8]
Generated Node #3: [79, 8] from Operation: 4*2=8
Current State: 71:[79, 8], Operations: ['45-43=2', '4*2=8']
Exploring Operation: 79-8=71, Resulting Numbers: [71]
71,71 equal: Goal Reached
| 4 |
[
4,
37,
48,
16
] | 89 | [
"16/4=4",
"37+48=85",
"4+85=89"
] | Current State: 89:[4, 37, 48, 16], Operations: []
Exploring Operation: 16/4=4, Resulting Numbers: [37, 48, 4]
Generated Node #2: [37, 48, 4] from Operation: 16/4=4
Current State: 89:[37, 48, 4], Operations: ['16/4=4']
Exploring Operation: 37+48=85, Resulting Numbers: [4, 85]
Generated Node #3: [4, 85] from Operation: 37+48=85
Current State: 89:[4, 85], Operations: ['16/4=4', '37+48=85']
Exploring Operation: 4+85=89, Resulting Numbers: [89]
89,89 equal: Goal Reached
| 4 |
[
4,
20,
46,
78
] | 100 | [
"4+20=24",
"46+78=124",
"124-24=100"
] | Current State: 100:[4, 20, 46, 78], Operations: []
Exploring Operation: 4+20=24, Resulting Numbers: [46, 78, 24]
Generated Node #2: [46, 78, 24] from Operation: 4+20=24
Current State: 100:[46, 78, 24], Operations: ['4+20=24']
Exploring Operation: 46+78=124, Resulting Numbers: [24, 124]
Generated Node #3: [24, 124] from Operation: 46+78=124
Current State: 100:[24, 124], Operations: ['4+20=24', '46+78=124']
Exploring Operation: 124-24=100, Resulting Numbers: [100]
100,100 equal: Goal Reached
| 4 |
[
47,
80,
2,
62
] | 25 | [
"62-47=15",
"80/2=40",
"40-15=25"
] | Current State: 25:[47, 80, 2, 62], Operations: []
Exploring Operation: 62-47=15, Resulting Numbers: [80, 2, 15]
Generated Node #2: [80, 2, 15] from Operation: 62-47=15
Current State: 25:[80, 2, 15], Operations: ['62-47=15']
Exploring Operation: 80/2=40, Resulting Numbers: [15, 40]
Generated Node #3: [15, 40] from Operation: 80/2=40
Current State: 25:[15, 40], Operations: ['62-47=15', '80/2=40']
Exploring Operation: 40-15=25, Resulting Numbers: [25]
25,25 equal: Goal Reached
| 4 |
[
91,
23,
40,
1
] | 29 | [
"91-23=68",
"40-1=39",
"68-39=29"
] | Current State: 29:[91, 23, 40, 1], Operations: []
Exploring Operation: 91-23=68, Resulting Numbers: [40, 1, 68]
Generated Node #2: [40, 1, 68] from Operation: 91-23=68
Current State: 29:[40, 1, 68], Operations: ['91-23=68']
Exploring Operation: 40-1=39, Resulting Numbers: [68, 39]
Generated Node #3: [68, 39] from Operation: 40-1=39
Current State: 29:[68, 39], Operations: ['91-23=68', '40-1=39']
Exploring Operation: 68-39=29, Resulting Numbers: [29]
29,29 equal: Goal Reached
| 4 |
[
99,
30,
6,
9
] | 63 | [
"9-6=3",
"99/3=33",
"30+33=63"
] | Current State: 63:[99, 30, 6, 9], Operations: []
Exploring Operation: 9-6=3, Resulting Numbers: [99, 30, 3]
Generated Node #2: [99, 30, 3] from Operation: 9-6=3
Current State: 63:[99, 30, 3], Operations: ['9-6=3']
Exploring Operation: 99/3=33, Resulting Numbers: [30, 33]
Generated Node #3: [30, 33] from Operation: 99/3=33
Current State: 63:[30, 33], Operations: ['9-6=3', '99/3=33']
Exploring Operation: 30+33=63, Resulting Numbers: [63]
63,63 equal: Goal Reached
| 4 |
[
71,
29,
21,
71
] | 29 | [
"71-71=0",
"21*0=0",
"29+0=29"
] | Current State: 29:[71, 29, 21, 71], Operations: []
Exploring Operation: 71-71=0, Resulting Numbers: [29, 21, 0]
Generated Node #2: [29, 21, 0] from Operation: 71-71=0
Current State: 29:[29, 21, 0], Operations: ['71-71=0']
Exploring Operation: 21*0=0, Resulting Numbers: [29, 0]
Generated Node #3: [29, 0] from Operation: 21*0=0
Current State: 29:[29, 0], Operations: ['71-71=0', '21*0=0']
Exploring Operation: 29+0=29, Resulting Numbers: [29]
29,29 equal: Goal Reached
| 4 |
[
60,
41,
21,
9
] | 31 | [
"60-41=19",
"21-9=12",
"19+12=31"
] | Current State: 31:[60, 41, 21, 9], Operations: []
Exploring Operation: 60-41=19, Resulting Numbers: [21, 9, 19]
Generated Node #2: [21, 9, 19] from Operation: 60-41=19
Current State: 31:[21, 9, 19], Operations: ['60-41=19']
Exploring Operation: 21-9=12, Resulting Numbers: [19, 12]
Generated Node #3: [19, 12] from Operation: 21-9=12
Current State: 31:[19, 12], Operations: ['60-41=19', '21-9=12']
Exploring Operation: 19+12=31, Resulting Numbers: [31]
31,31 equal: Goal Reached
| 4 |
[
51,
52,
2,
86
] | 33 | [
"51+86=137",
"52*2=104",
"137-104=33"
] | Current State: 33:[51, 52, 2, 86], Operations: []
Exploring Operation: 51+86=137, Resulting Numbers: [52, 2, 137]
Generated Node #2: [52, 2, 137] from Operation: 51+86=137
Current State: 33:[52, 2, 137], Operations: ['51+86=137']
Exploring Operation: 52*2=104, Resulting Numbers: [137, 104]
Generated Node #3: [137, 104] from Operation: 52*2=104
Current State: 33:[137, 104], Operations: ['51+86=137', '52*2=104']
Exploring Operation: 137-104=33, Resulting Numbers: [33]
33,33 equal: Goal Reached
| 4 |
[
17,
92,
66,
2
] | 62 | [
"92+66=158",
"158/2=79",
"79-17=62"
] | Current State: 62:[17, 92, 66, 2], Operations: []
Exploring Operation: 92+66=158, Resulting Numbers: [17, 2, 158]
Generated Node #2: [17, 2, 158] from Operation: 92+66=158
Current State: 62:[17, 2, 158], Operations: ['92+66=158']
Exploring Operation: 158/2=79, Resulting Numbers: [17, 79]
Generated Node #3: [17, 79] from Operation: 158/2=79
Current State: 62:[17, 79], Operations: ['92+66=158', '158/2=79']
Exploring Operation: 79-17=62, Resulting Numbers: [62]
62,62 equal: Goal Reached
| 4 |
[
99,
29,
50,
16
] | 94 | [
"99+29=128",
"50-16=34",
"128-34=94"
] | Current State: 94:[99, 29, 50, 16], Operations: []
Exploring Operation: 99+29=128, Resulting Numbers: [50, 16, 128]
Generated Node #2: [50, 16, 128] from Operation: 99+29=128
Current State: 94:[50, 16, 128], Operations: ['99+29=128']
Exploring Operation: 50-16=34, Resulting Numbers: [128, 34]
Generated Node #3: [128, 34] from Operation: 50-16=34
Current State: 94:[128, 34], Operations: ['99+29=128', '50-16=34']
Exploring Operation: 128-34=94, Resulting Numbers: [94]
94,94 equal: Goal Reached
| 4 |
[
60,
10,
39,
41
] | 80 | [
"41-39=2",
"10*2=20",
"60+20=80"
] | Current State: 80:[60, 10, 39, 41], Operations: []
Exploring Operation: 41-39=2, Resulting Numbers: [60, 10, 2]
Generated Node #2: [60, 10, 2] from Operation: 41-39=2
Current State: 80:[60, 10, 2], Operations: ['41-39=2']
Exploring Operation: 10*2=20, Resulting Numbers: [60, 20]
Generated Node #3: [60, 20] from Operation: 10*2=20
Current State: 80:[60, 20], Operations: ['41-39=2', '10*2=20']
Exploring Operation: 60+20=80, Resulting Numbers: [80]
80,80 equal: Goal Reached
| 4 |
[
41,
17,
72,
22
] | 26 | [
"41-17=24",
"72-22=50",
"50-24=26"
] | Current State: 26:[41, 17, 72, 22], Operations: []
Exploring Operation: 41-17=24, Resulting Numbers: [72, 22, 24]
Generated Node #2: [72, 22, 24] from Operation: 41-17=24
Current State: 26:[72, 22, 24], Operations: ['41-17=24']
Exploring Operation: 72-22=50, Resulting Numbers: [24, 50]
Generated Node #3: [24, 50] from Operation: 72-22=50
Current State: 26:[24, 50], Operations: ['41-17=24', '72-22=50']
Exploring Operation: 50-24=26, Resulting Numbers: [26]
26,26 equal: Goal Reached
| 4 |
[
57,
17,
92,
35
] | 87 | [
"57-17=40",
"92+35=127",
"127-40=87"
] | Current State: 87:[57, 17, 92, 35], Operations: []
Exploring Operation: 57-17=40, Resulting Numbers: [92, 35, 40]
Generated Node #2: [92, 35, 40] from Operation: 57-17=40
Current State: 87:[92, 35, 40], Operations: ['57-17=40']
Exploring Operation: 92+35=127, Resulting Numbers: [40, 127]
Generated Node #3: [40, 127] from Operation: 92+35=127
Current State: 87:[40, 127], Operations: ['57-17=40', '92+35=127']
Exploring Operation: 127-40=87, Resulting Numbers: [87]
87,87 equal: Goal Reached
| 4 |
Subsets and Splits
No community queries yet
The top public SQL queries from the community will appear here once available.