nums
listlengths 4
4
| target
int64 10
100
| solution
listlengths 3
3
| optimal_path
stringlengths 282
529
| start_size
int64 4
4
|
|---|---|---|---|---|
[
73,
59,
60,
7
] | 53
|
[
"73-59=14",
"60+7=67",
"67-14=53"
] |
Current State: 53:[73, 59, 60, 7], Operations: []
Exploring Operation: 73-59=14, Resulting Numbers: [60, 7, 14]
Generated Node #2: [60, 7, 14] from Operation: 73-59=14
Current State: 53:[60, 7, 14], Operations: ['73-59=14']
Exploring Operation: 60+7=67, Resulting Numbers: [14, 67]
Generated Node #3: [14, 67] from Operation: 60+7=67
Current State: 53:[14, 67], Operations: ['73-59=14', '60+7=67']
Exploring Operation: 67-14=53, Resulting Numbers: [53]
53,53 equal: Goal Reached
| 4
|
[
11,
12,
60,
98
] | 15
|
[
"11+12=23",
"98-60=38",
"38-23=15"
] |
Current State: 15:[11, 12, 60, 98], Operations: []
Exploring Operation: 11+12=23, Resulting Numbers: [60, 98, 23]
Generated Node #2: [60, 98, 23] from Operation: 11+12=23
Current State: 15:[60, 98, 23], Operations: ['11+12=23']
Exploring Operation: 98-60=38, Resulting Numbers: [23, 38]
Generated Node #3: [23, 38] from Operation: 98-60=38
Current State: 15:[23, 38], Operations: ['11+12=23', '98-60=38']
Exploring Operation: 38-23=15, Resulting Numbers: [15]
15,15 equal: Goal Reached
| 4
|
[
17,
85,
82,
45
] | 65
|
[
"17+85=102",
"82-45=37",
"102-37=65"
] |
Current State: 65:[17, 85, 82, 45], Operations: []
Exploring Operation: 17+85=102, Resulting Numbers: [82, 45, 102]
Generated Node #2: [82, 45, 102] from Operation: 17+85=102
Current State: 65:[82, 45, 102], Operations: ['17+85=102']
Exploring Operation: 82-45=37, Resulting Numbers: [102, 37]
Generated Node #3: [102, 37] from Operation: 82-45=37
Current State: 65:[102, 37], Operations: ['17+85=102', '82-45=37']
Exploring Operation: 102-37=65, Resulting Numbers: [65]
65,65 equal: Goal Reached
| 4
|
[
38,
25,
86,
63
] | 76
|
[
"86-25=61",
"63-61=2",
"38*2=76"
] |
Current State: 76:[38, 25, 86, 63], Operations: []
Exploring Operation: 86-25=61, Resulting Numbers: [38, 63, 61]
Generated Node #2: [38, 63, 61] from Operation: 86-25=61
Current State: 76:[38, 63, 61], Operations: ['86-25=61']
Exploring Operation: 63-61=2, Resulting Numbers: [38, 2]
Generated Node #3: [38, 2] from Operation: 63-61=2
Current State: 76:[38, 2], Operations: ['86-25=61', '63-61=2']
Exploring Operation: 38*2=76, Resulting Numbers: [76]
76,76 equal: Goal Reached
| 4
|
[
18,
79,
51,
91
] | 34
|
[
"91-79=12",
"51*12=612",
"612/18=34"
] |
Current State: 34:[18, 79, 51, 91], Operations: []
Exploring Operation: 91-79=12, Resulting Numbers: [18, 51, 12]
Generated Node #2: [18, 51, 12] from Operation: 91-79=12
Current State: 34:[18, 51, 12], Operations: ['91-79=12']
Exploring Operation: 51*12=612, Resulting Numbers: [18, 612]
Generated Node #3: [18, 612] from Operation: 51*12=612
Current State: 34:[18, 612], Operations: ['91-79=12', '51*12=612']
Exploring Operation: 612/18=34, Resulting Numbers: [34]
34,34 equal: Goal Reached
| 4
|
[
66,
10,
44,
78
] | 90
|
[
"66-10=56",
"78-44=34",
"56+34=90"
] |
Current State: 90:[66, 10, 44, 78], Operations: []
Exploring Operation: 66-10=56, Resulting Numbers: [44, 78, 56]
Generated Node #2: [44, 78, 56] from Operation: 66-10=56
Current State: 90:[44, 78, 56], Operations: ['66-10=56']
Exploring Operation: 78-44=34, Resulting Numbers: [56, 34]
Generated Node #3: [56, 34] from Operation: 78-44=34
Current State: 90:[56, 34], Operations: ['66-10=56', '78-44=34']
Exploring Operation: 56+34=90, Resulting Numbers: [90]
90,90 equal: Goal Reached
| 4
|
[
52,
10,
9,
53
] | 19
|
[
"53-52=1",
"10+9=19",
"1*19=19"
] |
Current State: 19:[52, 10, 9, 53], Operations: []
Exploring Operation: 53-52=1, Resulting Numbers: [10, 9, 1]
Generated Node #2: [10, 9, 1] from Operation: 53-52=1
Current State: 19:[10, 9, 1], Operations: ['53-52=1']
Exploring Operation: 10+9=19, Resulting Numbers: [1, 19]
Generated Node #3: [1, 19] from Operation: 10+9=19
Current State: 19:[1, 19], Operations: ['53-52=1', '10+9=19']
Exploring Operation: 1*19=19, Resulting Numbers: [19]
19,19 equal: Goal Reached
| 4
|
[
74,
23,
71,
31
] | 100
|
[
"74-71=3",
"23*3=69",
"31+69=100"
] |
Current State: 100:[74, 23, 71, 31], Operations: []
Exploring Operation: 74-71=3, Resulting Numbers: [23, 31, 3]
Generated Node #2: [23, 31, 3] from Operation: 74-71=3
Current State: 100:[23, 31, 3], Operations: ['74-71=3']
Exploring Operation: 23*3=69, Resulting Numbers: [31, 69]
Generated Node #3: [31, 69] from Operation: 23*3=69
Current State: 100:[31, 69], Operations: ['74-71=3', '23*3=69']
Exploring Operation: 31+69=100, Resulting Numbers: [100]
100,100 equal: Goal Reached
| 4
|
[
13,
69,
30,
59
] | 90
|
[
"69-13=56",
"59-56=3",
"30*3=90"
] |
Current State: 90:[13, 69, 30, 59], Operations: []
Exploring Operation: 69-13=56, Resulting Numbers: [30, 59, 56]
Generated Node #2: [30, 59, 56] from Operation: 69-13=56
Current State: 90:[30, 59, 56], Operations: ['69-13=56']
Exploring Operation: 59-56=3, Resulting Numbers: [30, 3]
Generated Node #3: [30, 3] from Operation: 59-56=3
Current State: 90:[30, 3], Operations: ['69-13=56', '59-56=3']
Exploring Operation: 30*3=90, Resulting Numbers: [90]
90,90 equal: Goal Reached
| 4
|
[
90,
76,
74,
33
] | 27
|
[
"90-76=14",
"74-33=41",
"41-14=27"
] |
Current State: 27:[90, 76, 74, 33], Operations: []
Exploring Operation: 90-76=14, Resulting Numbers: [74, 33, 14]
Generated Node #2: [74, 33, 14] from Operation: 90-76=14
Current State: 27:[74, 33, 14], Operations: ['90-76=14']
Exploring Operation: 74-33=41, Resulting Numbers: [14, 41]
Generated Node #3: [14, 41] from Operation: 74-33=41
Current State: 27:[14, 41], Operations: ['90-76=14', '74-33=41']
Exploring Operation: 41-14=27, Resulting Numbers: [27]
27,27 equal: Goal Reached
| 4
|
[
93,
52,
82,
22
] | 26
|
[
"93-82=11",
"52*11=572",
"572/22=26"
] |
Current State: 26:[93, 52, 82, 22], Operations: []
Exploring Operation: 93-82=11, Resulting Numbers: [52, 22, 11]
Generated Node #2: [52, 22, 11] from Operation: 93-82=11
Current State: 26:[52, 22, 11], Operations: ['93-82=11']
Exploring Operation: 52*11=572, Resulting Numbers: [22, 572]
Generated Node #3: [22, 572] from Operation: 52*11=572
Current State: 26:[22, 572], Operations: ['93-82=11', '52*11=572']
Exploring Operation: 572/22=26, Resulting Numbers: [26]
26,26 equal: Goal Reached
| 4
|
[
99,
17,
31,
85
] | 56
|
[
"85/17=5",
"31*5=155",
"155-99=56"
] |
Current State: 56:[99, 17, 31, 85], Operations: []
Exploring Operation: 85/17=5, Resulting Numbers: [99, 31, 5]
Generated Node #2: [99, 31, 5] from Operation: 85/17=5
Current State: 56:[99, 31, 5], Operations: ['85/17=5']
Exploring Operation: 31*5=155, Resulting Numbers: [99, 155]
Generated Node #3: [99, 155] from Operation: 31*5=155
Current State: 56:[99, 155], Operations: ['85/17=5', '31*5=155']
Exploring Operation: 155-99=56, Resulting Numbers: [56]
56,56 equal: Goal Reached
| 4
|
[
42,
21,
23,
26
] | 98
|
[
"42/21=2",
"23+26=49",
"2*49=98"
] |
Current State: 98:[42, 21, 23, 26], Operations: []
Exploring Operation: 42/21=2, Resulting Numbers: [23, 26, 2]
Generated Node #2: [23, 26, 2] from Operation: 42/21=2
Current State: 98:[23, 26, 2], Operations: ['42/21=2']
Exploring Operation: 23+26=49, Resulting Numbers: [2, 49]
Generated Node #3: [2, 49] from Operation: 23+26=49
Current State: 98:[2, 49], Operations: ['42/21=2', '23+26=49']
Exploring Operation: 2*49=98, Resulting Numbers: [98]
98,98 equal: Goal Reached
| 4
|
[
32,
38,
60,
58
] | 22
|
[
"32*38=1216",
"60+1216=1276",
"1276/58=22"
] |
Current State: 22:[32, 38, 60, 58], Operations: []
Exploring Operation: 32*38=1216, Resulting Numbers: [60, 58, 1216]
Generated Node #2: [60, 58, 1216] from Operation: 32*38=1216
Current State: 22:[60, 58, 1216], Operations: ['32*38=1216']
Exploring Operation: 60+1216=1276, Resulting Numbers: [58, 1276]
Generated Node #3: [58, 1276] from Operation: 60+1216=1276
Current State: 22:[58, 1276], Operations: ['32*38=1216', '60+1216=1276']
Exploring Operation: 1276/58=22, Resulting Numbers: [22]
22,22 equal: Goal Reached
| 4
|
[
26,
85,
82,
14
] | 16
|
[
"85-82=3",
"14*3=42",
"42-26=16"
] |
Current State: 16:[26, 85, 82, 14], Operations: []
Exploring Operation: 85-82=3, Resulting Numbers: [26, 14, 3]
Generated Node #2: [26, 14, 3] from Operation: 85-82=3
Current State: 16:[26, 14, 3], Operations: ['85-82=3']
Exploring Operation: 14*3=42, Resulting Numbers: [26, 42]
Generated Node #3: [26, 42] from Operation: 14*3=42
Current State: 16:[26, 42], Operations: ['85-82=3', '14*3=42']
Exploring Operation: 42-26=16, Resulting Numbers: [16]
16,16 equal: Goal Reached
| 4
|
[
54,
70,
2,
55
] | 67
|
[
"54+70=124",
"2+55=57",
"124-57=67"
] |
Current State: 67:[54, 70, 2, 55], Operations: []
Exploring Operation: 54+70=124, Resulting Numbers: [2, 55, 124]
Generated Node #2: [2, 55, 124] from Operation: 54+70=124
Current State: 67:[2, 55, 124], Operations: ['54+70=124']
Exploring Operation: 2+55=57, Resulting Numbers: [124, 57]
Generated Node #3: [124, 57] from Operation: 2+55=57
Current State: 67:[124, 57], Operations: ['54+70=124', '2+55=57']
Exploring Operation: 124-57=67, Resulting Numbers: [67]
67,67 equal: Goal Reached
| 4
|
[
74,
85,
75,
52
] | 33
|
[
"75-74=1",
"85-52=33",
"1*33=33"
] |
Current State: 33:[74, 85, 75, 52], Operations: []
Exploring Operation: 75-74=1, Resulting Numbers: [85, 52, 1]
Generated Node #2: [85, 52, 1] from Operation: 75-74=1
Current State: 33:[85, 52, 1], Operations: ['75-74=1']
Exploring Operation: 85-52=33, Resulting Numbers: [1, 33]
Generated Node #3: [1, 33] from Operation: 85-52=33
Current State: 33:[1, 33], Operations: ['75-74=1', '85-52=33']
Exploring Operation: 1*33=33, Resulting Numbers: [33]
33,33 equal: Goal Reached
| 4
|
[
50,
59,
78,
56
] | 13
|
[
"59-50=9",
"78-56=22",
"22-9=13"
] |
Current State: 13:[50, 59, 78, 56], Operations: []
Exploring Operation: 59-50=9, Resulting Numbers: [78, 56, 9]
Generated Node #2: [78, 56, 9] from Operation: 59-50=9
Current State: 13:[78, 56, 9], Operations: ['59-50=9']
Exploring Operation: 78-56=22, Resulting Numbers: [9, 22]
Generated Node #3: [9, 22] from Operation: 78-56=22
Current State: 13:[9, 22], Operations: ['59-50=9', '78-56=22']
Exploring Operation: 22-9=13, Resulting Numbers: [13]
13,13 equal: Goal Reached
| 4
|
[
5,
6,
96,
43
] | 22
|
[
"43-5=38",
"96/6=16",
"38-16=22"
] |
Current State: 22:[5, 6, 96, 43], Operations: []
Exploring Operation: 43-5=38, Resulting Numbers: [6, 96, 38]
Generated Node #2: [6, 96, 38] from Operation: 43-5=38
Current State: 22:[6, 96, 38], Operations: ['43-5=38']
Exploring Operation: 96/6=16, Resulting Numbers: [38, 16]
Generated Node #3: [38, 16] from Operation: 96/6=16
Current State: 22:[38, 16], Operations: ['43-5=38', '96/6=16']
Exploring Operation: 38-16=22, Resulting Numbers: [22]
22,22 equal: Goal Reached
| 4
|
[
27,
20,
10,
46
] | 15
|
[
"27*20=540",
"46-10=36",
"540/36=15"
] |
Current State: 15:[27, 20, 10, 46], Operations: []
Exploring Operation: 27*20=540, Resulting Numbers: [10, 46, 540]
Generated Node #2: [10, 46, 540] from Operation: 27*20=540
Current State: 15:[10, 46, 540], Operations: ['27*20=540']
Exploring Operation: 46-10=36, Resulting Numbers: [540, 36]
Generated Node #3: [540, 36] from Operation: 46-10=36
Current State: 15:[540, 36], Operations: ['27*20=540', '46-10=36']
Exploring Operation: 540/36=15, Resulting Numbers: [15]
15,15 equal: Goal Reached
| 4
|
[
19,
53,
85,
4
] | 79
|
[
"19+85=104",
"104/4=26",
"53+26=79"
] |
Current State: 79:[19, 53, 85, 4], Operations: []
Exploring Operation: 19+85=104, Resulting Numbers: [53, 4, 104]
Generated Node #2: [53, 4, 104] from Operation: 19+85=104
Current State: 79:[53, 4, 104], Operations: ['19+85=104']
Exploring Operation: 104/4=26, Resulting Numbers: [53, 26]
Generated Node #3: [53, 26] from Operation: 104/4=26
Current State: 79:[53, 26], Operations: ['19+85=104', '104/4=26']
Exploring Operation: 53+26=79, Resulting Numbers: [79]
79,79 equal: Goal Reached
| 4
|
[
79,
61,
62,
17
] | 96
|
[
"79+17=96",
"62-61=1",
"96*1=96"
] |
Current State: 96:[79, 61, 62, 17], Operations: []
Exploring Operation: 79+17=96, Resulting Numbers: [61, 62, 96]
Generated Node #2: [61, 62, 96] from Operation: 79+17=96
Current State: 96:[61, 62, 96], Operations: ['79+17=96']
Exploring Operation: 62-61=1, Resulting Numbers: [96, 1]
Generated Node #3: [96, 1] from Operation: 62-61=1
Current State: 96:[96, 1], Operations: ['79+17=96', '62-61=1']
Exploring Operation: 96*1=96, Resulting Numbers: [96]
96,96 equal: Goal Reached
| 4
|
[
6,
58,
2,
98
] | 44
|
[
"58-6=52",
"98-2=96",
"96-52=44"
] |
Current State: 44:[6, 58, 2, 98], Operations: []
Exploring Operation: 58-6=52, Resulting Numbers: [2, 98, 52]
Generated Node #2: [2, 98, 52] from Operation: 58-6=52
Current State: 44:[2, 98, 52], Operations: ['58-6=52']
Exploring Operation: 98-2=96, Resulting Numbers: [52, 96]
Generated Node #3: [52, 96] from Operation: 98-2=96
Current State: 44:[52, 96], Operations: ['58-6=52', '98-2=96']
Exploring Operation: 96-52=44, Resulting Numbers: [44]
44,44 equal: Goal Reached
| 4
|
[
10,
85,
52,
41
] | 84
|
[
"10+85=95",
"52-41=11",
"95-11=84"
] |
Current State: 84:[10, 85, 52, 41], Operations: []
Exploring Operation: 10+85=95, Resulting Numbers: [52, 41, 95]
Generated Node #2: [52, 41, 95] from Operation: 10+85=95
Current State: 84:[52, 41, 95], Operations: ['10+85=95']
Exploring Operation: 52-41=11, Resulting Numbers: [95, 11]
Generated Node #3: [95, 11] from Operation: 52-41=11
Current State: 84:[95, 11], Operations: ['10+85=95', '52-41=11']
Exploring Operation: 95-11=84, Resulting Numbers: [84]
84,84 equal: Goal Reached
| 4
|
[
10,
11,
70,
87
] | 17
|
[
"11-10=1",
"87-70=17",
"1*17=17"
] |
Current State: 17:[10, 11, 70, 87], Operations: []
Exploring Operation: 11-10=1, Resulting Numbers: [70, 87, 1]
Generated Node #2: [70, 87, 1] from Operation: 11-10=1
Current State: 17:[70, 87, 1], Operations: ['11-10=1']
Exploring Operation: 87-70=17, Resulting Numbers: [1, 17]
Generated Node #3: [1, 17] from Operation: 87-70=17
Current State: 17:[1, 17], Operations: ['11-10=1', '87-70=17']
Exploring Operation: 1*17=17, Resulting Numbers: [17]
17,17 equal: Goal Reached
| 4
|
[
83,
18,
16,
69
] | 16
|
[
"83+18=101",
"16+69=85",
"101-85=16"
] |
Current State: 16:[83, 18, 16, 69], Operations: []
Exploring Operation: 83+18=101, Resulting Numbers: [16, 69, 101]
Generated Node #2: [16, 69, 101] from Operation: 83+18=101
Current State: 16:[16, 69, 101], Operations: ['83+18=101']
Exploring Operation: 16+69=85, Resulting Numbers: [101, 85]
Generated Node #3: [101, 85] from Operation: 16+69=85
Current State: 16:[101, 85], Operations: ['83+18=101', '16+69=85']
Exploring Operation: 101-85=16, Resulting Numbers: [16]
16,16 equal: Goal Reached
| 4
|
[
88,
38,
60,
2
] | 39
|
[
"38+60=98",
"98/2=49",
"88-49=39"
] |
Current State: 39:[88, 38, 60, 2], Operations: []
Exploring Operation: 38+60=98, Resulting Numbers: [88, 2, 98]
Generated Node #2: [88, 2, 98] from Operation: 38+60=98
Current State: 39:[88, 2, 98], Operations: ['38+60=98']
Exploring Operation: 98/2=49, Resulting Numbers: [88, 49]
Generated Node #3: [88, 49] from Operation: 98/2=49
Current State: 39:[88, 49], Operations: ['38+60=98', '98/2=49']
Exploring Operation: 88-49=39, Resulting Numbers: [39]
39,39 equal: Goal Reached
| 4
|
[
49,
40,
24,
51
] | 60
|
[
"49+51=100",
"24*100=2400",
"2400/40=60"
] |
Current State: 60:[49, 40, 24, 51], Operations: []
Exploring Operation: 49+51=100, Resulting Numbers: [40, 24, 100]
Generated Node #2: [40, 24, 100] from Operation: 49+51=100
Current State: 60:[40, 24, 100], Operations: ['49+51=100']
Exploring Operation: 24*100=2400, Resulting Numbers: [40, 2400]
Generated Node #3: [40, 2400] from Operation: 24*100=2400
Current State: 60:[40, 2400], Operations: ['49+51=100', '24*100=2400']
Exploring Operation: 2400/40=60, Resulting Numbers: [60]
60,60 equal: Goal Reached
| 4
|
[
18,
90,
12,
7
] | 25
|
[
"90/18=5",
"12-7=5",
"5*5=25"
] |
Current State: 25:[18, 90, 12, 7], Operations: []
Exploring Operation: 90/18=5, Resulting Numbers: [12, 7, 5]
Generated Node #2: [12, 7, 5] from Operation: 90/18=5
Current State: 25:[12, 7, 5], Operations: ['90/18=5']
Exploring Operation: 12-7=5, Resulting Numbers: [5, 5]
Generated Node #3: [5, 5] from Operation: 12-7=5
Current State: 25:[5, 5], Operations: ['90/18=5', '12-7=5']
Exploring Operation: 5*5=25, Resulting Numbers: [25]
25,25 equal: Goal Reached
| 4
|
[
24,
30,
57,
68
] | 16
|
[
"68-30=38",
"24*38=912",
"912/57=16"
] |
Current State: 16:[24, 30, 57, 68], Operations: []
Exploring Operation: 68-30=38, Resulting Numbers: [24, 57, 38]
Generated Node #2: [24, 57, 38] from Operation: 68-30=38
Current State: 16:[24, 57, 38], Operations: ['68-30=38']
Exploring Operation: 24*38=912, Resulting Numbers: [57, 912]
Generated Node #3: [57, 912] from Operation: 24*38=912
Current State: 16:[57, 912], Operations: ['68-30=38', '24*38=912']
Exploring Operation: 912/57=16, Resulting Numbers: [16]
16,16 equal: Goal Reached
| 4
|
[
61,
6,
70,
7
] | 77
|
[
"61+6=67",
"70/7=10",
"67+10=77"
] |
Current State: 77:[61, 6, 70, 7], Operations: []
Exploring Operation: 61+6=67, Resulting Numbers: [70, 7, 67]
Generated Node #2: [70, 7, 67] from Operation: 61+6=67
Current State: 77:[70, 7, 67], Operations: ['61+6=67']
Exploring Operation: 70/7=10, Resulting Numbers: [67, 10]
Generated Node #3: [67, 10] from Operation: 70/7=10
Current State: 77:[67, 10], Operations: ['61+6=67', '70/7=10']
Exploring Operation: 67+10=77, Resulting Numbers: [77]
77,77 equal: Goal Reached
| 4
|
[
48,
31,
8,
7
] | 39
|
[
"48-31=17",
"8*7=56",
"56-17=39"
] |
Current State: 39:[48, 31, 8, 7], Operations: []
Exploring Operation: 48-31=17, Resulting Numbers: [8, 7, 17]
Generated Node #2: [8, 7, 17] from Operation: 48-31=17
Current State: 39:[8, 7, 17], Operations: ['48-31=17']
Exploring Operation: 8*7=56, Resulting Numbers: [17, 56]
Generated Node #3: [17, 56] from Operation: 8*7=56
Current State: 39:[17, 56], Operations: ['48-31=17', '8*7=56']
Exploring Operation: 56-17=39, Resulting Numbers: [39]
39,39 equal: Goal Reached
| 4
|
[
43,
57,
79,
55
] | 34
|
[
"43+57=100",
"79+55=134",
"134-100=34"
] |
Current State: 34:[43, 57, 79, 55], Operations: []
Exploring Operation: 43+57=100, Resulting Numbers: [79, 55, 100]
Generated Node #2: [79, 55, 100] from Operation: 43+57=100
Current State: 34:[79, 55, 100], Operations: ['43+57=100']
Exploring Operation: 79+55=134, Resulting Numbers: [100, 134]
Generated Node #3: [100, 134] from Operation: 79+55=134
Current State: 34:[100, 134], Operations: ['43+57=100', '79+55=134']
Exploring Operation: 134-100=34, Resulting Numbers: [34]
34,34 equal: Goal Reached
| 4
|
[
93,
59,
93,
28
] | 32
|
[
"93/93=1",
"59-28=31",
"1+31=32"
] |
Current State: 32:[93, 59, 93, 28], Operations: []
Exploring Operation: 93/93=1, Resulting Numbers: [59, 28, 1]
Generated Node #2: [59, 28, 1] from Operation: 93/93=1
Current State: 32:[59, 28, 1], Operations: ['93/93=1']
Exploring Operation: 59-28=31, Resulting Numbers: [1, 31]
Generated Node #3: [1, 31] from Operation: 59-28=31
Current State: 32:[1, 31], Operations: ['93/93=1', '59-28=31']
Exploring Operation: 1+31=32, Resulting Numbers: [32]
32,32 equal: Goal Reached
| 4
|
[
7,
53,
99,
81
] | 79
|
[
"7+99=106",
"106/53=2",
"81-2=79"
] |
Current State: 79:[7, 53, 99, 81], Operations: []
Exploring Operation: 7+99=106, Resulting Numbers: [53, 81, 106]
Generated Node #2: [53, 81, 106] from Operation: 7+99=106
Current State: 79:[53, 81, 106], Operations: ['7+99=106']
Exploring Operation: 106/53=2, Resulting Numbers: [81, 2]
Generated Node #3: [81, 2] from Operation: 106/53=2
Current State: 79:[81, 2], Operations: ['7+99=106', '106/53=2']
Exploring Operation: 81-2=79, Resulting Numbers: [79]
79,79 equal: Goal Reached
| 4
|
[
2,
76,
47,
66
] | 38
|
[
"66-47=19",
"2*19=38",
"76-38=38"
] |
Current State: 38:[2, 76, 47, 66], Operations: []
Exploring Operation: 66-47=19, Resulting Numbers: [2, 76, 19]
Generated Node #2: [2, 76, 19] from Operation: 66-47=19
Current State: 38:[2, 76, 19], Operations: ['66-47=19']
Exploring Operation: 2*19=38, Resulting Numbers: [76, 38]
Generated Node #3: [76, 38] from Operation: 2*19=38
Current State: 38:[76, 38], Operations: ['66-47=19', '2*19=38']
Exploring Operation: 76-38=38, Resulting Numbers: [38]
38,38 equal: Goal Reached
| 4
|
[
14,
54,
82,
82
] | 54
|
[
"82-82=0",
"14*0=0",
"54+0=54"
] |
Current State: 54:[14, 54, 82, 82], Operations: []
Exploring Operation: 82-82=0, Resulting Numbers: [14, 54, 0]
Generated Node #2: [14, 54, 0] from Operation: 82-82=0
Current State: 54:[14, 54, 0], Operations: ['82-82=0']
Exploring Operation: 14*0=0, Resulting Numbers: [54, 0]
Generated Node #3: [54, 0] from Operation: 14*0=0
Current State: 54:[54, 0], Operations: ['82-82=0', '14*0=0']
Exploring Operation: 54+0=54, Resulting Numbers: [54]
54,54 equal: Goal Reached
| 4
|
[
42,
84,
24,
42
] | 26
|
[
"42*24=1008",
"84+1008=1092",
"1092/42=26"
] |
Current State: 26:[42, 84, 24, 42], Operations: []
Exploring Operation: 42*24=1008, Resulting Numbers: [84, 1008]
Generated Node #2: [84, 1008] from Operation: 42*24=1008
Current State: 26:[84, 1008], Operations: ['42*24=1008']
Exploring Operation: 84+1008=1092, Resulting Numbers: [1092]
1092,26 equal: Goal Reached
Exploring Operation: 1092/42=26, Resulting Numbers: [26]
26,26 equal: Goal Reached
| 4
|
[
77,
17,
74,
93
] | 48
|
[
"77-74=3",
"93/3=31",
"17+31=48"
] |
Current State: 48:[77, 17, 74, 93], Operations: []
Exploring Operation: 77-74=3, Resulting Numbers: [17, 93, 3]
Generated Node #2: [17, 93, 3] from Operation: 77-74=3
Current State: 48:[17, 93, 3], Operations: ['77-74=3']
Exploring Operation: 93/3=31, Resulting Numbers: [17, 31]
Generated Node #3: [17, 31] from Operation: 93/3=31
Current State: 48:[17, 31], Operations: ['77-74=3', '93/3=31']
Exploring Operation: 17+31=48, Resulting Numbers: [48]
48,48 equal: Goal Reached
| 4
|
[
23,
25,
24,
50
] | 62
|
[
"25-23=2",
"24/2=12",
"50+12=62"
] |
Current State: 62:[23, 25, 24, 50], Operations: []
Exploring Operation: 25-23=2, Resulting Numbers: [24, 50, 2]
Generated Node #2: [24, 50, 2] from Operation: 25-23=2
Current State: 62:[24, 50, 2], Operations: ['25-23=2']
Exploring Operation: 24/2=12, Resulting Numbers: [50, 12]
Generated Node #3: [50, 12] from Operation: 24/2=12
Current State: 62:[50, 12], Operations: ['25-23=2', '24/2=12']
Exploring Operation: 50+12=62, Resulting Numbers: [62]
62,62 equal: Goal Reached
| 4
|
[
8,
68,
22,
11
] | 97
|
[
"8*22=176",
"68+11=79",
"176-79=97"
] |
Current State: 97:[8, 68, 22, 11], Operations: []
Exploring Operation: 8*22=176, Resulting Numbers: [68, 11, 176]
Generated Node #2: [68, 11, 176] from Operation: 8*22=176
Current State: 97:[68, 11, 176], Operations: ['8*22=176']
Exploring Operation: 68+11=79, Resulting Numbers: [176, 79]
Generated Node #3: [176, 79] from Operation: 68+11=79
Current State: 97:[176, 79], Operations: ['8*22=176', '68+11=79']
Exploring Operation: 176-79=97, Resulting Numbers: [97]
97,97 equal: Goal Reached
| 4
|
[
17,
7,
95,
85
] | 14
|
[
"17+7=24",
"95-85=10",
"24-10=14"
] |
Current State: 14:[17, 7, 95, 85], Operations: []
Exploring Operation: 17+7=24, Resulting Numbers: [95, 85, 24]
Generated Node #2: [95, 85, 24] from Operation: 17+7=24
Current State: 14:[95, 85, 24], Operations: ['17+7=24']
Exploring Operation: 95-85=10, Resulting Numbers: [24, 10]
Generated Node #3: [24, 10] from Operation: 95-85=10
Current State: 14:[24, 10], Operations: ['17+7=24', '95-85=10']
Exploring Operation: 24-10=14, Resulting Numbers: [14]
14,14 equal: Goal Reached
| 4
|
[
84,
56,
63,
5
] | 87
|
[
"63-5=58",
"84*58=4872",
"4872/56=87"
] |
Current State: 87:[84, 56, 63, 5], Operations: []
Exploring Operation: 63-5=58, Resulting Numbers: [84, 56, 58]
Generated Node #2: [84, 56, 58] from Operation: 63-5=58
Current State: 87:[84, 56, 58], Operations: ['63-5=58']
Exploring Operation: 84*58=4872, Resulting Numbers: [56, 4872]
Generated Node #3: [56, 4872] from Operation: 84*58=4872
Current State: 87:[56, 4872], Operations: ['63-5=58', '84*58=4872']
Exploring Operation: 4872/56=87, Resulting Numbers: [87]
87,87 equal: Goal Reached
| 4
|
[
90,
24,
9,
12
] | 87
|
[
"90-24=66",
"9+12=21",
"66+21=87"
] |
Current State: 87:[90, 24, 9, 12], Operations: []
Exploring Operation: 90-24=66, Resulting Numbers: [9, 12, 66]
Generated Node #2: [9, 12, 66] from Operation: 90-24=66
Current State: 87:[9, 12, 66], Operations: ['90-24=66']
Exploring Operation: 9+12=21, Resulting Numbers: [66, 21]
Generated Node #3: [66, 21] from Operation: 9+12=21
Current State: 87:[66, 21], Operations: ['90-24=66', '9+12=21']
Exploring Operation: 66+21=87, Resulting Numbers: [87]
87,87 equal: Goal Reached
| 4
|
[
24,
80,
40,
1
] | 97
|
[
"80-24=56",
"40+1=41",
"56+41=97"
] |
Current State: 97:[24, 80, 40, 1], Operations: []
Exploring Operation: 80-24=56, Resulting Numbers: [40, 1, 56]
Generated Node #2: [40, 1, 56] from Operation: 80-24=56
Current State: 97:[40, 1, 56], Operations: ['80-24=56']
Exploring Operation: 40+1=41, Resulting Numbers: [56, 41]
Generated Node #3: [56, 41] from Operation: 40+1=41
Current State: 97:[56, 41], Operations: ['80-24=56', '40+1=41']
Exploring Operation: 56+41=97, Resulting Numbers: [97]
97,97 equal: Goal Reached
| 4
|
[
59,
91,
53,
55
] | 42
|
[
"59+91=150",
"53+55=108",
"150-108=42"
] |
Current State: 42:[59, 91, 53, 55], Operations: []
Exploring Operation: 59+91=150, Resulting Numbers: [53, 55, 150]
Generated Node #2: [53, 55, 150] from Operation: 59+91=150
Current State: 42:[53, 55, 150], Operations: ['59+91=150']
Exploring Operation: 53+55=108, Resulting Numbers: [150, 108]
Generated Node #3: [150, 108] from Operation: 53+55=108
Current State: 42:[150, 108], Operations: ['59+91=150', '53+55=108']
Exploring Operation: 150-108=42, Resulting Numbers: [42]
42,42 equal: Goal Reached
| 4
|
[
39,
51,
25,
44
] | 31
|
[
"51-39=12",
"44-25=19",
"12+19=31"
] |
Current State: 31:[39, 51, 25, 44], Operations: []
Exploring Operation: 51-39=12, Resulting Numbers: [25, 44, 12]
Generated Node #2: [25, 44, 12] from Operation: 51-39=12
Current State: 31:[25, 44, 12], Operations: ['51-39=12']
Exploring Operation: 44-25=19, Resulting Numbers: [12, 19]
Generated Node #3: [12, 19] from Operation: 44-25=19
Current State: 31:[12, 19], Operations: ['51-39=12', '44-25=19']
Exploring Operation: 12+19=31, Resulting Numbers: [31]
31,31 equal: Goal Reached
| 4
|
[
84,
45,
74,
79
] | 47
|
[
"84+74=158",
"158/79=2",
"45+2=47"
] |
Current State: 47:[84, 45, 74, 79], Operations: []
Exploring Operation: 84+74=158, Resulting Numbers: [45, 79, 158]
Generated Node #2: [45, 79, 158] from Operation: 84+74=158
Current State: 47:[45, 79, 158], Operations: ['84+74=158']
Exploring Operation: 158/79=2, Resulting Numbers: [45, 2]
Generated Node #3: [45, 2] from Operation: 158/79=2
Current State: 47:[45, 2], Operations: ['84+74=158', '158/79=2']
Exploring Operation: 45+2=47, Resulting Numbers: [47]
47,47 equal: Goal Reached
| 4
|
[
30,
47,
51,
97
] | 100
|
[
"47-30=17",
"51/17=3",
"97+3=100"
] |
Current State: 100:[30, 47, 51, 97], Operations: []
Exploring Operation: 47-30=17, Resulting Numbers: [51, 97, 17]
Generated Node #2: [51, 97, 17] from Operation: 47-30=17
Current State: 100:[51, 97, 17], Operations: ['47-30=17']
Exploring Operation: 51/17=3, Resulting Numbers: [97, 3]
Generated Node #3: [97, 3] from Operation: 51/17=3
Current State: 100:[97, 3], Operations: ['47-30=17', '51/17=3']
Exploring Operation: 97+3=100, Resulting Numbers: [100]
100,100 equal: Goal Reached
| 4
|
[
33,
55,
74,
65
] | 79
|
[
"33+55=88",
"74-65=9",
"88-9=79"
] |
Current State: 79:[33, 55, 74, 65], Operations: []
Exploring Operation: 33+55=88, Resulting Numbers: [74, 65, 88]
Generated Node #2: [74, 65, 88] from Operation: 33+55=88
Current State: 79:[74, 65, 88], Operations: ['33+55=88']
Exploring Operation: 74-65=9, Resulting Numbers: [88, 9]
Generated Node #3: [88, 9] from Operation: 74-65=9
Current State: 79:[88, 9], Operations: ['33+55=88', '74-65=9']
Exploring Operation: 88-9=79, Resulting Numbers: [79]
79,79 equal: Goal Reached
| 4
|
[
5,
64,
4,
68
] | 11
|
[
"68-64=4",
"4*4=16",
"16-5=11"
] |
Current State: 11:[5, 64, 4, 68], Operations: []
Exploring Operation: 68-64=4, Resulting Numbers: [5, 4, 4]
Generated Node #2: [5, 4, 4] from Operation: 68-64=4
Current State: 11:[5, 4, 4], Operations: ['68-64=4']
Exploring Operation: 4*4=16, Resulting Numbers: [5, 16]
Generated Node #3: [5, 16] from Operation: 4*4=16
Current State: 11:[5, 16], Operations: ['68-64=4', '4*4=16']
Exploring Operation: 16-5=11, Resulting Numbers: [11]
11,11 equal: Goal Reached
| 4
|
[
95,
62,
9,
19
] | 66
|
[
"95/19=5",
"62+9=71",
"71-5=66"
] |
Current State: 66:[95, 62, 9, 19], Operations: []
Exploring Operation: 95/19=5, Resulting Numbers: [62, 9, 5]
Generated Node #2: [62, 9, 5] from Operation: 95/19=5
Current State: 66:[62, 9, 5], Operations: ['95/19=5']
Exploring Operation: 62+9=71, Resulting Numbers: [5, 71]
Generated Node #3: [5, 71] from Operation: 62+9=71
Current State: 66:[5, 71], Operations: ['95/19=5', '62+9=71']
Exploring Operation: 71-5=66, Resulting Numbers: [66]
66,66 equal: Goal Reached
| 4
|
[
67,
11,
25,
32
] | 34
|
[
"67+32=99",
"99/11=9",
"25+9=34"
] |
Current State: 34:[67, 11, 25, 32], Operations: []
Exploring Operation: 67+32=99, Resulting Numbers: [11, 25, 99]
Generated Node #2: [11, 25, 99] from Operation: 67+32=99
Current State: 34:[11, 25, 99], Operations: ['67+32=99']
Exploring Operation: 99/11=9, Resulting Numbers: [25, 9]
Generated Node #3: [25, 9] from Operation: 99/11=9
Current State: 34:[25, 9], Operations: ['67+32=99', '99/11=9']
Exploring Operation: 25+9=34, Resulting Numbers: [34]
34,34 equal: Goal Reached
| 4
|
[
14,
52,
2,
8
] | 11
|
[
"14+52=66",
"8-2=6",
"66/6=11"
] |
Current State: 11:[14, 52, 2, 8], Operations: []
Exploring Operation: 14+52=66, Resulting Numbers: [2, 8, 66]
Generated Node #2: [2, 8, 66] from Operation: 14+52=66
Current State: 11:[2, 8, 66], Operations: ['14+52=66']
Exploring Operation: 8-2=6, Resulting Numbers: [66, 6]
Generated Node #3: [66, 6] from Operation: 8-2=6
Current State: 11:[66, 6], Operations: ['14+52=66', '8-2=6']
Exploring Operation: 66/6=11, Resulting Numbers: [11]
11,11 equal: Goal Reached
| 4
|
[
27,
28,
24,
52
] | 76
|
[
"28-27=1",
"24+52=76",
"1*76=76"
] |
Current State: 76:[27, 28, 24, 52], Operations: []
Exploring Operation: 28-27=1, Resulting Numbers: [24, 52, 1]
Generated Node #2: [24, 52, 1] from Operation: 28-27=1
Current State: 76:[24, 52, 1], Operations: ['28-27=1']
Exploring Operation: 24+52=76, Resulting Numbers: [1, 76]
Generated Node #3: [1, 76] from Operation: 24+52=76
Current State: 76:[1, 76], Operations: ['28-27=1', '24+52=76']
Exploring Operation: 1*76=76, Resulting Numbers: [76]
76,76 equal: Goal Reached
| 4
|
[
80,
18,
72,
88
] | 12
|
[
"88-80=8",
"72/18=4",
"8+4=12"
] |
Current State: 12:[80, 18, 72, 88], Operations: []
Exploring Operation: 88-80=8, Resulting Numbers: [18, 72, 8]
Generated Node #2: [18, 72, 8] from Operation: 88-80=8
Current State: 12:[18, 72, 8], Operations: ['88-80=8']
Exploring Operation: 72/18=4, Resulting Numbers: [8, 4]
Generated Node #3: [8, 4] from Operation: 72/18=4
Current State: 12:[8, 4], Operations: ['88-80=8', '72/18=4']
Exploring Operation: 8+4=12, Resulting Numbers: [12]
12,12 equal: Goal Reached
| 4
|
[
23,
69,
2,
78
] | 85
|
[
"23+69=92",
"78+92=170",
"170/2=85"
] |
Current State: 85:[23, 69, 2, 78], Operations: []
Exploring Operation: 23+69=92, Resulting Numbers: [2, 78, 92]
Generated Node #2: [2, 78, 92] from Operation: 23+69=92
Current State: 85:[2, 78, 92], Operations: ['23+69=92']
Exploring Operation: 78+92=170, Resulting Numbers: [2, 170]
Generated Node #3: [2, 170] from Operation: 78+92=170
Current State: 85:[2, 170], Operations: ['23+69=92', '78+92=170']
Exploring Operation: 170/2=85, Resulting Numbers: [85]
85,85 equal: Goal Reached
| 4
|
[
67,
48,
81,
13
] | 72
|
[
"67-13=54",
"48*81=3888",
"3888/54=72"
] |
Current State: 72:[67, 48, 81, 13], Operations: []
Exploring Operation: 67-13=54, Resulting Numbers: [48, 81, 54]
Generated Node #2: [48, 81, 54] from Operation: 67-13=54
Current State: 72:[48, 81, 54], Operations: ['67-13=54']
Exploring Operation: 48*81=3888, Resulting Numbers: [54, 3888]
Generated Node #3: [54, 3888] from Operation: 48*81=3888
Current State: 72:[54, 3888], Operations: ['67-13=54', '48*81=3888']
Exploring Operation: 3888/54=72, Resulting Numbers: [72]
72,72 equal: Goal Reached
| 4
|
[
4,
75,
35,
84
] | 76
|
[
"75-35=40",
"4*40=160",
"160-84=76"
] |
Current State: 76:[4, 75, 35, 84], Operations: []
Exploring Operation: 75-35=40, Resulting Numbers: [4, 84, 40]
Generated Node #2: [4, 84, 40] from Operation: 75-35=40
Current State: 76:[4, 84, 40], Operations: ['75-35=40']
Exploring Operation: 4*40=160, Resulting Numbers: [84, 160]
Generated Node #3: [84, 160] from Operation: 4*40=160
Current State: 76:[84, 160], Operations: ['75-35=40', '4*40=160']
Exploring Operation: 160-84=76, Resulting Numbers: [76]
76,76 equal: Goal Reached
| 4
|
[
39,
87,
68,
69
] | 72
|
[
"68-39=29",
"87/29=3",
"69+3=72"
] |
Current State: 72:[39, 87, 68, 69], Operations: []
Exploring Operation: 68-39=29, Resulting Numbers: [87, 69, 29]
Generated Node #2: [87, 69, 29] from Operation: 68-39=29
Current State: 72:[87, 69, 29], Operations: ['68-39=29']
Exploring Operation: 87/29=3, Resulting Numbers: [69, 3]
Generated Node #3: [69, 3] from Operation: 87/29=3
Current State: 72:[69, 3], Operations: ['68-39=29', '87/29=3']
Exploring Operation: 69+3=72, Resulting Numbers: [72]
72,72 equal: Goal Reached
| 4
|
[
24,
19,
2,
31
] | 19
|
[
"24+19=43",
"2*31=62",
"62-43=19"
] |
Current State: 19:[24, 19, 2, 31], Operations: []
Exploring Operation: 24+19=43, Resulting Numbers: [2, 31, 43]
Generated Node #2: [2, 31, 43] from Operation: 24+19=43
Current State: 19:[2, 31, 43], Operations: ['24+19=43']
Exploring Operation: 2*31=62, Resulting Numbers: [43, 62]
Generated Node #3: [43, 62] from Operation: 2*31=62
Current State: 19:[43, 62], Operations: ['24+19=43', '2*31=62']
Exploring Operation: 62-43=19, Resulting Numbers: [19]
19,19 equal: Goal Reached
| 4
|
[
28,
84,
76,
92
] | 56
|
[
"28+84=112",
"76+92=168",
"168-112=56"
] |
Current State: 56:[28, 84, 76, 92], Operations: []
Exploring Operation: 28+84=112, Resulting Numbers: [76, 92, 112]
Generated Node #2: [76, 92, 112] from Operation: 28+84=112
Current State: 56:[76, 92, 112], Operations: ['28+84=112']
Exploring Operation: 76+92=168, Resulting Numbers: [112, 168]
Generated Node #3: [112, 168] from Operation: 76+92=168
Current State: 56:[112, 168], Operations: ['28+84=112', '76+92=168']
Exploring Operation: 168-112=56, Resulting Numbers: [56]
56,56 equal: Goal Reached
| 4
|
[
76,
54,
46,
28
] | 27
|
[
"76-46=30",
"30-28=2",
"54/2=27"
] |
Current State: 27:[76, 54, 46, 28], Operations: []
Exploring Operation: 76-46=30, Resulting Numbers: [54, 28, 30]
Generated Node #2: [54, 28, 30] from Operation: 76-46=30
Current State: 27:[54, 28, 30], Operations: ['76-46=30']
Exploring Operation: 30-28=2, Resulting Numbers: [54, 2]
Generated Node #3: [54, 2] from Operation: 30-28=2
Current State: 27:[54, 2], Operations: ['76-46=30', '30-28=2']
Exploring Operation: 54/2=27, Resulting Numbers: [27]
27,27 equal: Goal Reached
| 4
|
[
2,
10,
99,
49
] | 11
|
[
"2*49=98",
"10+99=109",
"109-98=11"
] |
Current State: 11:[2, 10, 99, 49], Operations: []
Exploring Operation: 2*49=98, Resulting Numbers: [10, 99, 98]
Generated Node #2: [10, 99, 98] from Operation: 2*49=98
Current State: 11:[10, 99, 98], Operations: ['2*49=98']
Exploring Operation: 10+99=109, Resulting Numbers: [98, 109]
Generated Node #3: [98, 109] from Operation: 10+99=109
Current State: 11:[98, 109], Operations: ['2*49=98', '10+99=109']
Exploring Operation: 109-98=11, Resulting Numbers: [11]
11,11 equal: Goal Reached
| 4
|
[
1,
66,
10,
12
] | 67
|
[
"66-1=65",
"12-10=2",
"65+2=67"
] |
Current State: 67:[1, 66, 10, 12], Operations: []
Exploring Operation: 66-1=65, Resulting Numbers: [10, 12, 65]
Generated Node #2: [10, 12, 65] from Operation: 66-1=65
Current State: 67:[10, 12, 65], Operations: ['66-1=65']
Exploring Operation: 12-10=2, Resulting Numbers: [65, 2]
Generated Node #3: [65, 2] from Operation: 12-10=2
Current State: 67:[65, 2], Operations: ['66-1=65', '12-10=2']
Exploring Operation: 65+2=67, Resulting Numbers: [67]
67,67 equal: Goal Reached
| 4
|
[
67,
15,
54,
60
] | 52
|
[
"67-54=13",
"60/15=4",
"13*4=52"
] |
Current State: 52:[67, 15, 54, 60], Operations: []
Exploring Operation: 67-54=13, Resulting Numbers: [15, 60, 13]
Generated Node #2: [15, 60, 13] from Operation: 67-54=13
Current State: 52:[15, 60, 13], Operations: ['67-54=13']
Exploring Operation: 60/15=4, Resulting Numbers: [13, 4]
Generated Node #3: [13, 4] from Operation: 60/15=4
Current State: 52:[13, 4], Operations: ['67-54=13', '60/15=4']
Exploring Operation: 13*4=52, Resulting Numbers: [52]
52,52 equal: Goal Reached
| 4
|
[
59,
98,
78,
88
] | 49
|
[
"98-59=39",
"88-78=10",
"39+10=49"
] |
Current State: 49:[59, 98, 78, 88], Operations: []
Exploring Operation: 98-59=39, Resulting Numbers: [78, 88, 39]
Generated Node #2: [78, 88, 39] from Operation: 98-59=39
Current State: 49:[78, 88, 39], Operations: ['98-59=39']
Exploring Operation: 88-78=10, Resulting Numbers: [39, 10]
Generated Node #3: [39, 10] from Operation: 88-78=10
Current State: 49:[39, 10], Operations: ['98-59=39', '88-78=10']
Exploring Operation: 39+10=49, Resulting Numbers: [49]
49,49 equal: Goal Reached
| 4
|
[
80,
6,
4,
92
] | 76
|
[
"92-80=12",
"6*12=72",
"4+72=76"
] |
Current State: 76:[80, 6, 4, 92], Operations: []
Exploring Operation: 92-80=12, Resulting Numbers: [6, 4, 12]
Generated Node #2: [6, 4, 12] from Operation: 92-80=12
Current State: 76:[6, 4, 12], Operations: ['92-80=12']
Exploring Operation: 6*12=72, Resulting Numbers: [4, 72]
Generated Node #3: [4, 72] from Operation: 6*12=72
Current State: 76:[4, 72], Operations: ['92-80=12', '6*12=72']
Exploring Operation: 4+72=76, Resulting Numbers: [76]
76,76 equal: Goal Reached
| 4
|
[
39,
81,
96,
30
] | 54
|
[
"39+81=120",
"96-30=66",
"120-66=54"
] |
Current State: 54:[39, 81, 96, 30], Operations: []
Exploring Operation: 39+81=120, Resulting Numbers: [96, 30, 120]
Generated Node #2: [96, 30, 120] from Operation: 39+81=120
Current State: 54:[96, 30, 120], Operations: ['39+81=120']
Exploring Operation: 96-30=66, Resulting Numbers: [120, 66]
Generated Node #3: [120, 66] from Operation: 96-30=66
Current State: 54:[120, 66], Operations: ['39+81=120', '96-30=66']
Exploring Operation: 120-66=54, Resulting Numbers: [54]
54,54 equal: Goal Reached
| 4
|
[
48,
25,
55,
68
] | 100
|
[
"48-25=23",
"55+68=123",
"123-23=100"
] |
Current State: 100:[48, 25, 55, 68], Operations: []
Exploring Operation: 48-25=23, Resulting Numbers: [55, 68, 23]
Generated Node #2: [55, 68, 23] from Operation: 48-25=23
Current State: 100:[55, 68, 23], Operations: ['48-25=23']
Exploring Operation: 55+68=123, Resulting Numbers: [23, 123]
Generated Node #3: [23, 123] from Operation: 55+68=123
Current State: 100:[23, 123], Operations: ['48-25=23', '55+68=123']
Exploring Operation: 123-23=100, Resulting Numbers: [100]
100,100 equal: Goal Reached
| 4
|
[
93,
28,
37,
90
] | 45
|
[
"93-37=56",
"28*90=2520",
"2520/56=45"
] |
Current State: 45:[93, 28, 37, 90], Operations: []
Exploring Operation: 93-37=56, Resulting Numbers: [28, 90, 56]
Generated Node #2: [28, 90, 56] from Operation: 93-37=56
Current State: 45:[28, 90, 56], Operations: ['93-37=56']
Exploring Operation: 28*90=2520, Resulting Numbers: [56, 2520]
Generated Node #3: [56, 2520] from Operation: 28*90=2520
Current State: 45:[56, 2520], Operations: ['93-37=56', '28*90=2520']
Exploring Operation: 2520/56=45, Resulting Numbers: [45]
45,45 equal: Goal Reached
| 4
|
[
62,
31,
20,
51
] | 41
|
[
"62/31=2",
"20/2=10",
"51-10=41"
] |
Current State: 41:[62, 31, 20, 51], Operations: []
Exploring Operation: 62/31=2, Resulting Numbers: [20, 51, 2]
Generated Node #2: [20, 51, 2] from Operation: 62/31=2
Current State: 41:[20, 51, 2], Operations: ['62/31=2']
Exploring Operation: 20/2=10, Resulting Numbers: [51, 10]
Generated Node #3: [51, 10] from Operation: 20/2=10
Current State: 41:[51, 10], Operations: ['62/31=2', '20/2=10']
Exploring Operation: 51-10=41, Resulting Numbers: [41]
41,41 equal: Goal Reached
| 4
|
[
93,
42,
31,
66
] | 27
|
[
"93/31=3",
"66-42=24",
"3+24=27"
] |
Current State: 27:[93, 42, 31, 66], Operations: []
Exploring Operation: 93/31=3, Resulting Numbers: [42, 66, 3]
Generated Node #2: [42, 66, 3] from Operation: 93/31=3
Current State: 27:[42, 66, 3], Operations: ['93/31=3']
Exploring Operation: 66-42=24, Resulting Numbers: [3, 24]
Generated Node #3: [3, 24] from Operation: 66-42=24
Current State: 27:[3, 24], Operations: ['93/31=3', '66-42=24']
Exploring Operation: 3+24=27, Resulting Numbers: [27]
27,27 equal: Goal Reached
| 4
|
[
80,
16,
19,
41
] | 65
|
[
"80/16=5",
"19+41=60",
"5+60=65"
] |
Current State: 65:[80, 16, 19, 41], Operations: []
Exploring Operation: 80/16=5, Resulting Numbers: [19, 41, 5]
Generated Node #2: [19, 41, 5] from Operation: 80/16=5
Current State: 65:[19, 41, 5], Operations: ['80/16=5']
Exploring Operation: 19+41=60, Resulting Numbers: [5, 60]
Generated Node #3: [5, 60] from Operation: 19+41=60
Current State: 65:[5, 60], Operations: ['80/16=5', '19+41=60']
Exploring Operation: 5+60=65, Resulting Numbers: [65]
65,65 equal: Goal Reached
| 4
|
[
26,
35,
6,
36
] | 55
|
[
"26+35=61",
"36/6=6",
"61-6=55"
] |
Current State: 55:[26, 35, 6, 36], Operations: []
Exploring Operation: 26+35=61, Resulting Numbers: [6, 36, 61]
Generated Node #2: [6, 36, 61] from Operation: 26+35=61
Current State: 55:[6, 36, 61], Operations: ['26+35=61']
Exploring Operation: 36/6=6, Resulting Numbers: [61, 6]
Generated Node #3: [61, 6] from Operation: 36/6=6
Current State: 55:[61, 6], Operations: ['26+35=61', '36/6=6']
Exploring Operation: 61-6=55, Resulting Numbers: [55]
55,55 equal: Goal Reached
| 4
|
[
3,
73,
58,
50
] | 17
|
[
"73+50=123",
"123/3=41",
"58-41=17"
] |
Current State: 17:[3, 73, 58, 50], Operations: []
Exploring Operation: 73+50=123, Resulting Numbers: [3, 58, 123]
Generated Node #2: [3, 58, 123] from Operation: 73+50=123
Current State: 17:[3, 58, 123], Operations: ['73+50=123']
Exploring Operation: 123/3=41, Resulting Numbers: [58, 41]
Generated Node #3: [58, 41] from Operation: 123/3=41
Current State: 17:[58, 41], Operations: ['73+50=123', '123/3=41']
Exploring Operation: 58-41=17, Resulting Numbers: [17]
17,17 equal: Goal Reached
| 4
|
[
8,
99,
91,
32
] | 33
|
[
"99-8=91",
"91/91=1",
"32+1=33"
] |
Current State: 33:[8, 99, 91, 32], Operations: []
Exploring Operation: 99-8=91, Resulting Numbers: [91, 32, 91]
Generated Node #2: [91, 32, 91] from Operation: 99-8=91
Current State: 33:[91, 32, 91], Operations: ['99-8=91']
Exploring Operation: 91/91=1, Resulting Numbers: [32, 1]
Generated Node #3: [32, 1] from Operation: 91/91=1
Current State: 33:[32, 1], Operations: ['99-8=91', '91/91=1']
Exploring Operation: 32+1=33, Resulting Numbers: [33]
33,33 equal: Goal Reached
| 4
|
[
11,
22,
20,
5
] | 66
|
[
"11*20=220",
"220/5=44",
"22+44=66"
] |
Current State: 66:[11, 22, 20, 5], Operations: []
Exploring Operation: 11*20=220, Resulting Numbers: [22, 5, 220]
Generated Node #2: [22, 5, 220] from Operation: 11*20=220
Current State: 66:[22, 5, 220], Operations: ['11*20=220']
Exploring Operation: 220/5=44, Resulting Numbers: [22, 44]
Generated Node #3: [22, 44] from Operation: 220/5=44
Current State: 66:[22, 44], Operations: ['11*20=220', '220/5=44']
Exploring Operation: 22+44=66, Resulting Numbers: [66]
66,66 equal: Goal Reached
| 4
|
[
57,
25,
84,
31
] | 29
|
[
"57+25=82",
"84-31=53",
"82-53=29"
] |
Current State: 29:[57, 25, 84, 31], Operations: []
Exploring Operation: 57+25=82, Resulting Numbers: [84, 31, 82]
Generated Node #2: [84, 31, 82] from Operation: 57+25=82
Current State: 29:[84, 31, 82], Operations: ['57+25=82']
Exploring Operation: 84-31=53, Resulting Numbers: [82, 53]
Generated Node #3: [82, 53] from Operation: 84-31=53
Current State: 29:[82, 53], Operations: ['57+25=82', '84-31=53']
Exploring Operation: 82-53=29, Resulting Numbers: [29]
29,29 equal: Goal Reached
| 4
|
[
7,
68,
93,
98
] | 37
|
[
"68+93=161",
"98+161=259",
"259/7=37"
] |
Current State: 37:[7, 68, 93, 98], Operations: []
Exploring Operation: 68+93=161, Resulting Numbers: [7, 98, 161]
Generated Node #2: [7, 98, 161] from Operation: 68+93=161
Current State: 37:[7, 98, 161], Operations: ['68+93=161']
Exploring Operation: 98+161=259, Resulting Numbers: [7, 259]
Generated Node #3: [7, 259] from Operation: 98+161=259
Current State: 37:[7, 259], Operations: ['68+93=161', '98+161=259']
Exploring Operation: 259/7=37, Resulting Numbers: [37]
37,37 equal: Goal Reached
| 4
|
[
72,
31,
35,
8
] | 14
|
[
"72-31=41",
"35-8=27",
"41-27=14"
] |
Current State: 14:[72, 31, 35, 8], Operations: []
Exploring Operation: 72-31=41, Resulting Numbers: [35, 8, 41]
Generated Node #2: [35, 8, 41] from Operation: 72-31=41
Current State: 14:[35, 8, 41], Operations: ['72-31=41']
Exploring Operation: 35-8=27, Resulting Numbers: [41, 27]
Generated Node #3: [41, 27] from Operation: 35-8=27
Current State: 14:[41, 27], Operations: ['72-31=41', '35-8=27']
Exploring Operation: 41-27=14, Resulting Numbers: [14]
14,14 equal: Goal Reached
| 4
|
[
82,
24,
83,
12
] | 42
|
[
"82*12=984",
"984/24=41",
"83-41=42"
] |
Current State: 42:[82, 24, 83, 12], Operations: []
Exploring Operation: 82*12=984, Resulting Numbers: [24, 83, 984]
Generated Node #2: [24, 83, 984] from Operation: 82*12=984
Current State: 42:[24, 83, 984], Operations: ['82*12=984']
Exploring Operation: 984/24=41, Resulting Numbers: [83, 41]
Generated Node #3: [83, 41] from Operation: 984/24=41
Current State: 42:[83, 41], Operations: ['82*12=984', '984/24=41']
Exploring Operation: 83-41=42, Resulting Numbers: [42]
42,42 equal: Goal Reached
| 4
|
[
26,
17,
10,
60
] | 27
|
[
"26+17=43",
"10+60=70",
"70-43=27"
] |
Current State: 27:[26, 17, 10, 60], Operations: []
Exploring Operation: 26+17=43, Resulting Numbers: [10, 60, 43]
Generated Node #2: [10, 60, 43] from Operation: 26+17=43
Current State: 27:[10, 60, 43], Operations: ['26+17=43']
Exploring Operation: 10+60=70, Resulting Numbers: [43, 70]
Generated Node #3: [43, 70] from Operation: 10+60=70
Current State: 27:[43, 70], Operations: ['26+17=43', '10+60=70']
Exploring Operation: 70-43=27, Resulting Numbers: [27]
27,27 equal: Goal Reached
| 4
|
[
20,
27,
13,
37
] | 71
|
[
"20+27=47",
"37-13=24",
"47+24=71"
] |
Current State: 71:[20, 27, 13, 37], Operations: []
Exploring Operation: 20+27=47, Resulting Numbers: [13, 37, 47]
Generated Node #2: [13, 37, 47] from Operation: 20+27=47
Current State: 71:[13, 37, 47], Operations: ['20+27=47']
Exploring Operation: 37-13=24, Resulting Numbers: [47, 24]
Generated Node #3: [47, 24] from Operation: 37-13=24
Current State: 71:[47, 24], Operations: ['20+27=47', '37-13=24']
Exploring Operation: 47+24=71, Resulting Numbers: [71]
71,71 equal: Goal Reached
| 4
|
[
2,
1,
48,
9
] | 57
|
[
"2-1=1",
"48+9=57",
"1*57=57"
] |
Current State: 57:[2, 1, 48, 9], Operations: []
Exploring Operation: 2-1=1, Resulting Numbers: [48, 9, 1]
Generated Node #2: [48, 9, 1] from Operation: 2-1=1
Current State: 57:[48, 9, 1], Operations: ['2-1=1']
Exploring Operation: 48+9=57, Resulting Numbers: [1, 57]
Generated Node #3: [1, 57] from Operation: 48+9=57
Current State: 57:[1, 57], Operations: ['2-1=1', '48+9=57']
Exploring Operation: 1*57=57, Resulting Numbers: [57]
57,57 equal: Goal Reached
| 4
|
[
83,
5,
86,
11
] | 22
|
[
"83+5=88",
"88-86=2",
"11*2=22"
] |
Current State: 22:[83, 5, 86, 11], Operations: []
Exploring Operation: 83+5=88, Resulting Numbers: [86, 11, 88]
Generated Node #2: [86, 11, 88] from Operation: 83+5=88
Current State: 22:[86, 11, 88], Operations: ['83+5=88']
Exploring Operation: 88-86=2, Resulting Numbers: [11, 2]
Generated Node #3: [11, 2] from Operation: 88-86=2
Current State: 22:[11, 2], Operations: ['83+5=88', '88-86=2']
Exploring Operation: 11*2=22, Resulting Numbers: [22]
22,22 equal: Goal Reached
| 4
|
[
46,
52,
57,
7
] | 81
|
[
"57-52=5",
"7*5=35",
"46+35=81"
] |
Current State: 81:[46, 52, 57, 7], Operations: []
Exploring Operation: 57-52=5, Resulting Numbers: [46, 7, 5]
Generated Node #2: [46, 7, 5] from Operation: 57-52=5
Current State: 81:[46, 7, 5], Operations: ['57-52=5']
Exploring Operation: 7*5=35, Resulting Numbers: [46, 35]
Generated Node #3: [46, 35] from Operation: 7*5=35
Current State: 81:[46, 35], Operations: ['57-52=5', '7*5=35']
Exploring Operation: 46+35=81, Resulting Numbers: [81]
81,81 equal: Goal Reached
| 4
|
[
57,
20,
5,
3
] | 47
|
[
"5-3=2",
"20/2=10",
"57-10=47"
] |
Current State: 47:[57, 20, 5, 3], Operations: []
Exploring Operation: 5-3=2, Resulting Numbers: [57, 20, 2]
Generated Node #2: [57, 20, 2] from Operation: 5-3=2
Current State: 47:[57, 20, 2], Operations: ['5-3=2']
Exploring Operation: 20/2=10, Resulting Numbers: [57, 10]
Generated Node #3: [57, 10] from Operation: 20/2=10
Current State: 47:[57, 10], Operations: ['5-3=2', '20/2=10']
Exploring Operation: 57-10=47, Resulting Numbers: [47]
47,47 equal: Goal Reached
| 4
|
[
97,
49,
89,
47
] | 88
|
[
"97-49=48",
"89+47=136",
"136-48=88"
] |
Current State: 88:[97, 49, 89, 47], Operations: []
Exploring Operation: 97-49=48, Resulting Numbers: [89, 47, 48]
Generated Node #2: [89, 47, 48] from Operation: 97-49=48
Current State: 88:[89, 47, 48], Operations: ['97-49=48']
Exploring Operation: 89+47=136, Resulting Numbers: [48, 136]
Generated Node #3: [48, 136] from Operation: 89+47=136
Current State: 88:[48, 136], Operations: ['97-49=48', '89+47=136']
Exploring Operation: 136-48=88, Resulting Numbers: [88]
88,88 equal: Goal Reached
| 4
|
[
61,
26,
14,
5
] | 53
|
[
"26+14=40",
"40/5=8",
"61-8=53"
] |
Current State: 53:[61, 26, 14, 5], Operations: []
Exploring Operation: 26+14=40, Resulting Numbers: [61, 5, 40]
Generated Node #2: [61, 5, 40] from Operation: 26+14=40
Current State: 53:[61, 5, 40], Operations: ['26+14=40']
Exploring Operation: 40/5=8, Resulting Numbers: [61, 8]
Generated Node #3: [61, 8] from Operation: 40/5=8
Current State: 53:[61, 8], Operations: ['26+14=40', '40/5=8']
Exploring Operation: 61-8=53, Resulting Numbers: [53]
53,53 equal: Goal Reached
| 4
|
[
56,
31,
49,
5
] | 76
|
[
"56-31=25",
"5*25=125",
"125-49=76"
] |
Current State: 76:[56, 31, 49, 5], Operations: []
Exploring Operation: 56-31=25, Resulting Numbers: [49, 5, 25]
Generated Node #2: [49, 5, 25] from Operation: 56-31=25
Current State: 76:[49, 5, 25], Operations: ['56-31=25']
Exploring Operation: 5*25=125, Resulting Numbers: [49, 125]
Generated Node #3: [49, 125] from Operation: 5*25=125
Current State: 76:[49, 125], Operations: ['56-31=25', '5*25=125']
Exploring Operation: 125-49=76, Resulting Numbers: [76]
76,76 equal: Goal Reached
| 4
|
[
56,
34,
73,
96
] | 98
|
[
"73-56=17",
"34/17=2",
"96+2=98"
] |
Current State: 98:[56, 34, 73, 96], Operations: []
Exploring Operation: 73-56=17, Resulting Numbers: [34, 96, 17]
Generated Node #2: [34, 96, 17] from Operation: 73-56=17
Current State: 98:[34, 96, 17], Operations: ['73-56=17']
Exploring Operation: 34/17=2, Resulting Numbers: [96, 2]
Generated Node #3: [96, 2] from Operation: 34/17=2
Current State: 98:[96, 2], Operations: ['73-56=17', '34/17=2']
Exploring Operation: 96+2=98, Resulting Numbers: [98]
98,98 equal: Goal Reached
| 4
|
[
27,
70,
58,
84
] | 71
|
[
"27+70=97",
"84-58=26",
"97-26=71"
] |
Current State: 71:[27, 70, 58, 84], Operations: []
Exploring Operation: 27+70=97, Resulting Numbers: [58, 84, 97]
Generated Node #2: [58, 84, 97] from Operation: 27+70=97
Current State: 71:[58, 84, 97], Operations: ['27+70=97']
Exploring Operation: 84-58=26, Resulting Numbers: [97, 26]
Generated Node #3: [97, 26] from Operation: 84-58=26
Current State: 71:[97, 26], Operations: ['27+70=97', '84-58=26']
Exploring Operation: 97-26=71, Resulting Numbers: [71]
71,71 equal: Goal Reached
| 4
|
[
3,
84,
90,
60
] | 78
|
[
"84+90=174",
"60+174=234",
"234/3=78"
] |
Current State: 78:[3, 84, 90, 60], Operations: []
Exploring Operation: 84+90=174, Resulting Numbers: [3, 60, 174]
Generated Node #2: [3, 60, 174] from Operation: 84+90=174
Current State: 78:[3, 60, 174], Operations: ['84+90=174']
Exploring Operation: 60+174=234, Resulting Numbers: [3, 234]
Generated Node #3: [3, 234] from Operation: 60+174=234
Current State: 78:[3, 234], Operations: ['84+90=174', '60+174=234']
Exploring Operation: 234/3=78, Resulting Numbers: [78]
78,78 equal: Goal Reached
| 4
|
[
90,
83,
92,
21
] | 41
|
[
"92-90=2",
"21*2=42",
"83-42=41"
] |
Current State: 41:[90, 83, 92, 21], Operations: []
Exploring Operation: 92-90=2, Resulting Numbers: [83, 21, 2]
Generated Node #2: [83, 21, 2] from Operation: 92-90=2
Current State: 41:[83, 21, 2], Operations: ['92-90=2']
Exploring Operation: 21*2=42, Resulting Numbers: [83, 42]
Generated Node #3: [83, 42] from Operation: 21*2=42
Current State: 41:[83, 42], Operations: ['92-90=2', '21*2=42']
Exploring Operation: 83-42=41, Resulting Numbers: [41]
41,41 equal: Goal Reached
| 4
|
[
84,
27,
20,
75
] | 23
|
[
"84-75=9",
"27/9=3",
"20+3=23"
] |
Current State: 23:[84, 27, 20, 75], Operations: []
Exploring Operation: 84-75=9, Resulting Numbers: [27, 20, 9]
Generated Node #2: [27, 20, 9] from Operation: 84-75=9
Current State: 23:[27, 20, 9], Operations: ['84-75=9']
Exploring Operation: 27/9=3, Resulting Numbers: [20, 3]
Generated Node #3: [20, 3] from Operation: 27/9=3
Current State: 23:[20, 3], Operations: ['84-75=9', '27/9=3']
Exploring Operation: 20+3=23, Resulting Numbers: [23]
23,23 equal: Goal Reached
| 4
|
[
2,
81,
61,
71
] | 30
|
[
"2*81=162",
"61+71=132",
"162-132=30"
] |
Current State: 30:[2, 81, 61, 71], Operations: []
Exploring Operation: 2*81=162, Resulting Numbers: [61, 71, 162]
Generated Node #2: [61, 71, 162] from Operation: 2*81=162
Current State: 30:[61, 71, 162], Operations: ['2*81=162']
Exploring Operation: 61+71=132, Resulting Numbers: [162, 132]
Generated Node #3: [162, 132] from Operation: 61+71=132
Current State: 30:[162, 132], Operations: ['2*81=162', '61+71=132']
Exploring Operation: 162-132=30, Resulting Numbers: [30]
30,30 equal: Goal Reached
| 4
|
[
51,
6,
58,
24
] | 25
|
[
"51+6=57",
"58+24=82",
"82-57=25"
] |
Current State: 25:[51, 6, 58, 24], Operations: []
Exploring Operation: 51+6=57, Resulting Numbers: [58, 24, 57]
Generated Node #2: [58, 24, 57] from Operation: 51+6=57
Current State: 25:[58, 24, 57], Operations: ['51+6=57']
Exploring Operation: 58+24=82, Resulting Numbers: [57, 82]
Generated Node #3: [57, 82] from Operation: 58+24=82
Current State: 25:[57, 82], Operations: ['51+6=57', '58+24=82']
Exploring Operation: 82-57=25, Resulting Numbers: [25]
25,25 equal: Goal Reached
| 4
|
[
53,
45,
97,
20
] | 21
|
[
"53+45=98",
"97-20=77",
"98-77=21"
] |
Current State: 21:[53, 45, 97, 20], Operations: []
Exploring Operation: 53+45=98, Resulting Numbers: [97, 20, 98]
Generated Node #2: [97, 20, 98] from Operation: 53+45=98
Current State: 21:[97, 20, 98], Operations: ['53+45=98']
Exploring Operation: 97-20=77, Resulting Numbers: [98, 77]
Generated Node #3: [98, 77] from Operation: 97-20=77
Current State: 21:[98, 77], Operations: ['53+45=98', '97-20=77']
Exploring Operation: 98-77=21, Resulting Numbers: [21]
21,21 equal: Goal Reached
| 4
|
[
53,
18,
73,
57
] | 87
|
[
"53+18=71",
"73-57=16",
"71+16=87"
] |
Current State: 87:[53, 18, 73, 57], Operations: []
Exploring Operation: 53+18=71, Resulting Numbers: [73, 57, 71]
Generated Node #2: [73, 57, 71] from Operation: 53+18=71
Current State: 87:[73, 57, 71], Operations: ['53+18=71']
Exploring Operation: 73-57=16, Resulting Numbers: [71, 16]
Generated Node #3: [71, 16] from Operation: 73-57=16
Current State: 87:[71, 16], Operations: ['53+18=71', '73-57=16']
Exploring Operation: 71+16=87, Resulting Numbers: [87]
87,87 equal: Goal Reached
| 4
|
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