nums listlengths 4 4 | target int64 10 100 | solution listlengths 3 3 | optimal_path stringlengths 282 529 | start_size int64 4 4 |
|---|---|---|---|---|
[
54,
35,
14,
58
] | 45 | [
"54+35=89",
"58-14=44",
"89-44=45"
] | Current State: 45:[54, 35, 14, 58], Operations: []
Exploring Operation: 54+35=89, Resulting Numbers: [14, 58, 89]
Generated Node #2: [14, 58, 89] from Operation: 54+35=89
Current State: 45:[14, 58, 89], Operations: ['54+35=89']
Exploring Operation: 58-14=44, Resulting Numbers: [89, 44]
Generated Node #3: [89, 44] from Operation: 58-14=44
Current State: 45:[89, 44], Operations: ['54+35=89', '58-14=44']
Exploring Operation: 89-44=45, Resulting Numbers: [45]
45,45 equal: Goal Reached
| 4 |
[
3,
48,
99,
36
] | 29 | [
"99-48=51",
"36+51=87",
"87/3=29"
] | Current State: 29:[3, 48, 99, 36], Operations: []
Exploring Operation: 99-48=51, Resulting Numbers: [3, 36, 51]
Generated Node #2: [3, 36, 51] from Operation: 99-48=51
Current State: 29:[3, 36, 51], Operations: ['99-48=51']
Exploring Operation: 36+51=87, Resulting Numbers: [3, 87]
Generated Node #3: [3, 87] from Operation: 36+51=87
Current State: 29:[3, 87], Operations: ['99-48=51', '36+51=87']
Exploring Operation: 87/3=29, Resulting Numbers: [29]
29,29 equal: Goal Reached
| 4 |
[
34,
26,
90,
62
] | 85 | [
"34*90=3060",
"62-26=36",
"3060/36=85"
] | Current State: 85:[34, 26, 90, 62], Operations: []
Exploring Operation: 34*90=3060, Resulting Numbers: [26, 62, 3060]
Generated Node #2: [26, 62, 3060] from Operation: 34*90=3060
Current State: 85:[26, 62, 3060], Operations: ['34*90=3060']
Exploring Operation: 62-26=36, Resulting Numbers: [3060, 36]
Generated Node #3: [3060, 36] from Operation: 62-26=36
Current State: 85:[3060, 36], Operations: ['34*90=3060', '62-26=36']
Exploring Operation: 3060/36=85, Resulting Numbers: [85]
85,85 equal: Goal Reached
| 4 |
[
30,
73,
7,
7
] | 57 | [
"73-30=43",
"7+7=14",
"43+14=57"
] | Current State: 57:[30, 73, 7, 7], Operations: []
Exploring Operation: 73-30=43, Resulting Numbers: [7, 7, 43]
Generated Node #2: [7, 7, 43] from Operation: 73-30=43
Current State: 57:[7, 7, 43], Operations: ['73-30=43']
Exploring Operation: 7+7=14, Resulting Numbers: [43, 14]
Generated Node #3: [43, 14] from Operation: 7+7=14
Current State: 57:[43, 14], Operations: ['73-30=43', '7+7=14']
Exploring Operation: 43+14=57, Resulting Numbers: [57]
57,57 equal: Goal Reached
| 4 |
[
27,
7,
13,
17
] | 80 | [
"27-7=20",
"17-13=4",
"20*4=80"
] | Current State: 80:[27, 7, 13, 17], Operations: []
Exploring Operation: 27-7=20, Resulting Numbers: [13, 17, 20]
Generated Node #2: [13, 17, 20] from Operation: 27-7=20
Current State: 80:[13, 17, 20], Operations: ['27-7=20']
Exploring Operation: 17-13=4, Resulting Numbers: [20, 4]
Generated Node #3: [20, 4] from Operation: 17-13=4
Current State: 80:[20, 4], Operations: ['27-7=20', '17-13=4']
Exploring Operation: 20*4=80, Resulting Numbers: [80]
80,80 equal: Goal Reached
| 4 |
[
5,
51,
17,
2
] | 31 | [
"51-5=46",
"17-2=15",
"46-15=31"
] | Current State: 31:[5, 51, 17, 2], Operations: []
Exploring Operation: 51-5=46, Resulting Numbers: [17, 2, 46]
Generated Node #2: [17, 2, 46] from Operation: 51-5=46
Current State: 31:[17, 2, 46], Operations: ['51-5=46']
Exploring Operation: 17-2=15, Resulting Numbers: [46, 15]
Generated Node #3: [46, 15] from Operation: 17-2=15
Current State: 31:[46, 15], Operations: ['51-5=46', '17-2=15']
Exploring Operation: 46-15=31, Resulting Numbers: [31]
31,31 equal: Goal Reached
| 4 |
[
59,
84,
96,
33
] | 80 | [
"59+84=143",
"96-33=63",
"143-63=80"
] | Current State: 80:[59, 84, 96, 33], Operations: []
Exploring Operation: 59+84=143, Resulting Numbers: [96, 33, 143]
Generated Node #2: [96, 33, 143] from Operation: 59+84=143
Current State: 80:[96, 33, 143], Operations: ['59+84=143']
Exploring Operation: 96-33=63, Resulting Numbers: [143, 63]
Generated Node #3: [143, 63] from Operation: 96-33=63
Current State: 80:[143, 63], Operations: ['59+84=143', '96-33=63']
Exploring Operation: 143-63=80, Resulting Numbers: [80]
80,80 equal: Goal Reached
| 4 |
[
49,
59,
13,
71
] | 49 | [
"59+13=72",
"72-71=1",
"49*1=49"
] | Current State: 49:[49, 59, 13, 71], Operations: []
Exploring Operation: 59+13=72, Resulting Numbers: [49, 71, 72]
Generated Node #2: [49, 71, 72] from Operation: 59+13=72
Current State: 49:[49, 71, 72], Operations: ['59+13=72']
Exploring Operation: 72-71=1, Resulting Numbers: [49, 1]
Generated Node #3: [49, 1] from Operation: 72-71=1
Current State: 49:[49, 1], Operations: ['59+13=72', '72-71=1']
Exploring Operation: 49*1=49, Resulting Numbers: [49]
49,49 equal: Goal Reached
| 4 |
[
68,
87,
66,
55
] | 34 | [
"68+87=155",
"66+55=121",
"155-121=34"
] | Current State: 34:[68, 87, 66, 55], Operations: []
Exploring Operation: 68+87=155, Resulting Numbers: [66, 55, 155]
Generated Node #2: [66, 55, 155] from Operation: 68+87=155
Current State: 34:[66, 55, 155], Operations: ['68+87=155']
Exploring Operation: 66+55=121, Resulting Numbers: [155, 121]
Generated Node #3: [155, 121] from Operation: 66+55=121
Current State: 34:[155, 121], Operations: ['68+87=155', '66+55=121']
Exploring Operation: 155-121=34, Resulting Numbers: [34]
34,34 equal: Goal Reached
| 4 |
[
19,
23,
77,
37
] | 82 | [
"19+23=42",
"77-37=40",
"42+40=82"
] | Current State: 82:[19, 23, 77, 37], Operations: []
Exploring Operation: 19+23=42, Resulting Numbers: [77, 37, 42]
Generated Node #2: [77, 37, 42] from Operation: 19+23=42
Current State: 82:[77, 37, 42], Operations: ['19+23=42']
Exploring Operation: 77-37=40, Resulting Numbers: [42, 40]
Generated Node #3: [42, 40] from Operation: 77-37=40
Current State: 82:[42, 40], Operations: ['19+23=42', '77-37=40']
Exploring Operation: 42+40=82, Resulting Numbers: [82]
82,82 equal: Goal Reached
| 4 |
[
37,
24,
15,
71
] | 73 | [
"37-24=13",
"15+71=86",
"86-13=73"
] | Current State: 73:[37, 24, 15, 71], Operations: []
Exploring Operation: 37-24=13, Resulting Numbers: [15, 71, 13]
Generated Node #2: [15, 71, 13] from Operation: 37-24=13
Current State: 73:[15, 71, 13], Operations: ['37-24=13']
Exploring Operation: 15+71=86, Resulting Numbers: [13, 86]
Generated Node #3: [13, 86] from Operation: 15+71=86
Current State: 73:[13, 86], Operations: ['37-24=13', '15+71=86']
Exploring Operation: 86-13=73, Resulting Numbers: [73]
73,73 equal: Goal Reached
| 4 |
[
17,
27,
92,
72
] | 24 | [
"17+27=44",
"92-72=20",
"44-20=24"
] | Current State: 24:[17, 27, 92, 72], Operations: []
Exploring Operation: 17+27=44, Resulting Numbers: [92, 72, 44]
Generated Node #2: [92, 72, 44] from Operation: 17+27=44
Current State: 24:[92, 72, 44], Operations: ['17+27=44']
Exploring Operation: 92-72=20, Resulting Numbers: [44, 20]
Generated Node #3: [44, 20] from Operation: 92-72=20
Current State: 24:[44, 20], Operations: ['17+27=44', '92-72=20']
Exploring Operation: 44-20=24, Resulting Numbers: [24]
24,24 equal: Goal Reached
| 4 |
[
61,
22,
4,
20
] | 15 | [
"61-22=39",
"4+20=24",
"39-24=15"
] | Current State: 15:[61, 22, 4, 20], Operations: []
Exploring Operation: 61-22=39, Resulting Numbers: [4, 20, 39]
Generated Node #2: [4, 20, 39] from Operation: 61-22=39
Current State: 15:[4, 20, 39], Operations: ['61-22=39']
Exploring Operation: 4+20=24, Resulting Numbers: [39, 24]
Generated Node #3: [39, 24] from Operation: 4+20=24
Current State: 15:[39, 24], Operations: ['61-22=39', '4+20=24']
Exploring Operation: 39-24=15, Resulting Numbers: [15]
15,15 equal: Goal Reached
| 4 |
[
43,
29,
85,
86
] | 58 | [
"86/43=2",
"85-29=56",
"2+56=58"
] | Current State: 58:[43, 29, 85, 86], Operations: []
Exploring Operation: 86/43=2, Resulting Numbers: [29, 85, 2]
Generated Node #2: [29, 85, 2] from Operation: 86/43=2
Current State: 58:[29, 85, 2], Operations: ['86/43=2']
Exploring Operation: 85-29=56, Resulting Numbers: [2, 56]
Generated Node #3: [2, 56] from Operation: 85-29=56
Current State: 58:[2, 56], Operations: ['86/43=2', '85-29=56']
Exploring Operation: 2+56=58, Resulting Numbers: [58]
58,58 equal: Goal Reached
| 4 |
[
5,
71,
84,
26
] | 57 | [
"71+84=155",
"155/5=31",
"26+31=57"
] | Current State: 57:[5, 71, 84, 26], Operations: []
Exploring Operation: 71+84=155, Resulting Numbers: [5, 26, 155]
Generated Node #2: [5, 26, 155] from Operation: 71+84=155
Current State: 57:[5, 26, 155], Operations: ['71+84=155']
Exploring Operation: 155/5=31, Resulting Numbers: [26, 31]
Generated Node #3: [26, 31] from Operation: 155/5=31
Current State: 57:[26, 31], Operations: ['71+84=155', '155/5=31']
Exploring Operation: 26+31=57, Resulting Numbers: [57]
57,57 equal: Goal Reached
| 4 |
[
22,
71,
20,
49
] | 27 | [
"22-20=2",
"49*2=98",
"98-71=27"
] | Current State: 27:[22, 71, 20, 49], Operations: []
Exploring Operation: 22-20=2, Resulting Numbers: [71, 49, 2]
Generated Node #2: [71, 49, 2] from Operation: 22-20=2
Current State: 27:[71, 49, 2], Operations: ['22-20=2']
Exploring Operation: 49*2=98, Resulting Numbers: [71, 98]
Generated Node #3: [71, 98] from Operation: 49*2=98
Current State: 27:[71, 98], Operations: ['22-20=2', '49*2=98']
Exploring Operation: 98-71=27, Resulting Numbers: [27]
27,27 equal: Goal Reached
| 4 |
[
61,
69,
63,
16
] | 55 | [
"69-61=8",
"63-16=47",
"8+47=55"
] | Current State: 55:[61, 69, 63, 16], Operations: []
Exploring Operation: 69-61=8, Resulting Numbers: [63, 16, 8]
Generated Node #2: [63, 16, 8] from Operation: 69-61=8
Current State: 55:[63, 16, 8], Operations: ['69-61=8']
Exploring Operation: 63-16=47, Resulting Numbers: [8, 47]
Generated Node #3: [8, 47] from Operation: 63-16=47
Current State: 55:[8, 47], Operations: ['69-61=8', '63-16=47']
Exploring Operation: 8+47=55, Resulting Numbers: [55]
55,55 equal: Goal Reached
| 4 |
[
14,
70,
73,
28
] | 70 | [
"14+70=84",
"84/28=3",
"73-3=70"
] | Current State: 70:[14, 70, 73, 28], Operations: []
Exploring Operation: 14+70=84, Resulting Numbers: [73, 28, 84]
Generated Node #2: [73, 28, 84] from Operation: 14+70=84
Current State: 70:[73, 28, 84], Operations: ['14+70=84']
Exploring Operation: 84/28=3, Resulting Numbers: [73, 3]
Generated Node #3: [73, 3] from Operation: 84/28=3
Current State: 70:[73, 3], Operations: ['14+70=84', '84/28=3']
Exploring Operation: 73-3=70, Resulting Numbers: [70]
70,70 equal: Goal Reached
| 4 |
[
18,
87,
15,
24
] | 89 | [
"24-15=9",
"18/9=2",
"87+2=89"
] | Current State: 89:[18, 87, 15, 24], Operations: []
Exploring Operation: 24-15=9, Resulting Numbers: [18, 87, 9]
Generated Node #2: [18, 87, 9] from Operation: 24-15=9
Current State: 89:[18, 87, 9], Operations: ['24-15=9']
Exploring Operation: 18/9=2, Resulting Numbers: [87, 2]
Generated Node #3: [87, 2] from Operation: 18/9=2
Current State: 89:[87, 2], Operations: ['24-15=9', '18/9=2']
Exploring Operation: 87+2=89, Resulting Numbers: [89]
89,89 equal: Goal Reached
| 4 |
[
2,
60,
77,
53
] | 38 | [
"2+60=62",
"77-53=24",
"62-24=38"
] | Current State: 38:[2, 60, 77, 53], Operations: []
Exploring Operation: 2+60=62, Resulting Numbers: [77, 53, 62]
Generated Node #2: [77, 53, 62] from Operation: 2+60=62
Current State: 38:[77, 53, 62], Operations: ['2+60=62']
Exploring Operation: 77-53=24, Resulting Numbers: [62, 24]
Generated Node #3: [62, 24] from Operation: 77-53=24
Current State: 38:[62, 24], Operations: ['2+60=62', '77-53=24']
Exploring Operation: 62-24=38, Resulting Numbers: [38]
38,38 equal: Goal Reached
| 4 |
[
27,
60,
51,
93
] | 30 | [
"60+93=153",
"153/51=3",
"27+3=30"
] | Current State: 30:[27, 60, 51, 93], Operations: []
Exploring Operation: 60+93=153, Resulting Numbers: [27, 51, 153]
Generated Node #2: [27, 51, 153] from Operation: 60+93=153
Current State: 30:[27, 51, 153], Operations: ['60+93=153']
Exploring Operation: 153/51=3, Resulting Numbers: [27, 3]
Generated Node #3: [27, 3] from Operation: 153/51=3
Current State: 30:[27, 3], Operations: ['60+93=153', '153/51=3']
Exploring Operation: 27+3=30, Resulting Numbers: [30]
30,30 equal: Goal Reached
| 4 |
[
23,
4,
4,
87
] | 15 | [
"23+4=27",
"87-27=60",
"60/4=15"
] | Current State: 15:[23, 4, 4, 87], Operations: []
Exploring Operation: 23+4=27, Resulting Numbers: [87, 27]
Generated Node #2: [87, 27] from Operation: 23+4=27
Current State: 15:[87, 27], Operations: ['23+4=27']
Exploring Operation: 87-27=60, Resulting Numbers: [60]
60,15 equal: Goal Reached
Exploring Operation: 60/4=15, Resulting Numbers: [15]
15,15 equal: Goal Reached
| 4 |
[
15,
87,
96,
22
] | 28 | [
"15+87=102",
"96-22=74",
"102-74=28"
] | Current State: 28:[15, 87, 96, 22], Operations: []
Exploring Operation: 15+87=102, Resulting Numbers: [96, 22, 102]
Generated Node #2: [96, 22, 102] from Operation: 15+87=102
Current State: 28:[96, 22, 102], Operations: ['15+87=102']
Exploring Operation: 96-22=74, Resulting Numbers: [102, 74]
Generated Node #3: [102, 74] from Operation: 96-22=74
Current State: 28:[102, 74], Operations: ['15+87=102', '96-22=74']
Exploring Operation: 102-74=28, Resulting Numbers: [28]
28,28 equal: Goal Reached
| 4 |
[
70,
3,
14,
68
] | 10 | [
"70-68=2",
"14/2=7",
"3+7=10"
] | Current State: 10:[70, 3, 14, 68], Operations: []
Exploring Operation: 70-68=2, Resulting Numbers: [3, 14, 2]
Generated Node #2: [3, 14, 2] from Operation: 70-68=2
Current State: 10:[3, 14, 2], Operations: ['70-68=2']
Exploring Operation: 14/2=7, Resulting Numbers: [3, 7]
Generated Node #3: [3, 7] from Operation: 14/2=7
Current State: 10:[3, 7], Operations: ['70-68=2', '14/2=7']
Exploring Operation: 3+7=10, Resulting Numbers: [10]
10,10 equal: Goal Reached
| 4 |
[
41,
55,
76,
51
] | 22 | [
"55-51=4",
"76/4=19",
"41-19=22"
] | Current State: 22:[41, 55, 76, 51], Operations: []
Exploring Operation: 55-51=4, Resulting Numbers: [41, 76, 4]
Generated Node #2: [41, 76, 4] from Operation: 55-51=4
Current State: 22:[41, 76, 4], Operations: ['55-51=4']
Exploring Operation: 76/4=19, Resulting Numbers: [41, 19]
Generated Node #3: [41, 19] from Operation: 76/4=19
Current State: 22:[41, 19], Operations: ['55-51=4', '76/4=19']
Exploring Operation: 41-19=22, Resulting Numbers: [22]
22,22 equal: Goal Reached
| 4 |
[
92,
25,
4,
44
] | 56 | [
"92-25=67",
"44/4=11",
"67-11=56"
] | Current State: 56:[92, 25, 4, 44], Operations: []
Exploring Operation: 92-25=67, Resulting Numbers: [4, 44, 67]
Generated Node #2: [4, 44, 67] from Operation: 92-25=67
Current State: 56:[4, 44, 67], Operations: ['92-25=67']
Exploring Operation: 44/4=11, Resulting Numbers: [67, 11]
Generated Node #3: [67, 11] from Operation: 44/4=11
Current State: 56:[67, 11], Operations: ['92-25=67', '44/4=11']
Exploring Operation: 67-11=56, Resulting Numbers: [56]
56,56 equal: Goal Reached
| 4 |
[
34,
90,
48,
3
] | 68 | [
"34*90=3060",
"48-3=45",
"3060/45=68"
] | Current State: 68:[34, 90, 48, 3], Operations: []
Exploring Operation: 34*90=3060, Resulting Numbers: [48, 3, 3060]
Generated Node #2: [48, 3, 3060] from Operation: 34*90=3060
Current State: 68:[48, 3, 3060], Operations: ['34*90=3060']
Exploring Operation: 48-3=45, Resulting Numbers: [3060, 45]
Generated Node #3: [3060, 45] from Operation: 48-3=45
Current State: 68:[3060, 45], Operations: ['34*90=3060', '48-3=45']
Exploring Operation: 3060/45=68, Resulting Numbers: [68]
68,68 equal: Goal Reached
| 4 |
[
11,
74,
20,
18
] | 26 | [
"20*18=360",
"360-74=286",
"286/11=26"
] | Current State: 26:[11, 74, 20, 18], Operations: []
Exploring Operation: 20*18=360, Resulting Numbers: [11, 74, 360]
Generated Node #2: [11, 74, 360] from Operation: 20*18=360
Current State: 26:[11, 74, 360], Operations: ['20*18=360']
Exploring Operation: 360-74=286, Resulting Numbers: [11, 286]
Generated Node #3: [11, 286] from Operation: 360-74=286
Current State: 26:[11, 286], Operations: ['20*18=360', '360-74=286']
Exploring Operation: 286/11=26, Resulting Numbers: [26]
26,26 equal: Goal Reached
| 4 |
[
44,
10,
95,
6
] | 84 | [
"10-6=4",
"44/4=11",
"95-11=84"
] | Current State: 84:[44, 10, 95, 6], Operations: []
Exploring Operation: 10-6=4, Resulting Numbers: [44, 95, 4]
Generated Node #2: [44, 95, 4] from Operation: 10-6=4
Current State: 84:[44, 95, 4], Operations: ['10-6=4']
Exploring Operation: 44/4=11, Resulting Numbers: [95, 11]
Generated Node #3: [95, 11] from Operation: 44/4=11
Current State: 84:[95, 11], Operations: ['10-6=4', '44/4=11']
Exploring Operation: 95-11=84, Resulting Numbers: [84]
84,84 equal: Goal Reached
| 4 |
[
14,
42,
12,
25
] | 36 | [
"42-14=28",
"28-25=3",
"12*3=36"
] | Current State: 36:[14, 42, 12, 25], Operations: []
Exploring Operation: 42-14=28, Resulting Numbers: [12, 25, 28]
Generated Node #2: [12, 25, 28] from Operation: 42-14=28
Current State: 36:[12, 25, 28], Operations: ['42-14=28']
Exploring Operation: 28-25=3, Resulting Numbers: [12, 3]
Generated Node #3: [12, 3] from Operation: 28-25=3
Current State: 36:[12, 3], Operations: ['42-14=28', '28-25=3']
Exploring Operation: 12*3=36, Resulting Numbers: [36]
36,36 equal: Goal Reached
| 4 |
[
11,
1,
15,
43
] | 16 | [
"11+1=12",
"43-15=28",
"28-12=16"
] | Current State: 16:[11, 1, 15, 43], Operations: []
Exploring Operation: 11+1=12, Resulting Numbers: [15, 43, 12]
Generated Node #2: [15, 43, 12] from Operation: 11+1=12
Current State: 16:[15, 43, 12], Operations: ['11+1=12']
Exploring Operation: 43-15=28, Resulting Numbers: [12, 28]
Generated Node #3: [12, 28] from Operation: 43-15=28
Current State: 16:[12, 28], Operations: ['11+1=12', '43-15=28']
Exploring Operation: 28-12=16, Resulting Numbers: [16]
16,16 equal: Goal Reached
| 4 |
[
11,
8,
59,
45
] | 33 | [
"11+8=19",
"59-45=14",
"19+14=33"
] | Current State: 33:[11, 8, 59, 45], Operations: []
Exploring Operation: 11+8=19, Resulting Numbers: [59, 45, 19]
Generated Node #2: [59, 45, 19] from Operation: 11+8=19
Current State: 33:[59, 45, 19], Operations: ['11+8=19']
Exploring Operation: 59-45=14, Resulting Numbers: [19, 14]
Generated Node #3: [19, 14] from Operation: 59-45=14
Current State: 33:[19, 14], Operations: ['11+8=19', '59-45=14']
Exploring Operation: 19+14=33, Resulting Numbers: [33]
33,33 equal: Goal Reached
| 4 |
[
70,
26,
36,
98
] | 72 | [
"70+26=96",
"98-96=2",
"36*2=72"
] | Current State: 72:[70, 26, 36, 98], Operations: []
Exploring Operation: 70+26=96, Resulting Numbers: [36, 98, 96]
Generated Node #2: [36, 98, 96] from Operation: 70+26=96
Current State: 72:[36, 98, 96], Operations: ['70+26=96']
Exploring Operation: 98-96=2, Resulting Numbers: [36, 2]
Generated Node #3: [36, 2] from Operation: 98-96=2
Current State: 72:[36, 2], Operations: ['70+26=96', '98-96=2']
Exploring Operation: 36*2=72, Resulting Numbers: [72]
72,72 equal: Goal Reached
| 4 |
[
29,
66,
20,
74
] | 22 | [
"66-29=37",
"74/37=2",
"20+2=22"
] | Current State: 22:[29, 66, 20, 74], Operations: []
Exploring Operation: 66-29=37, Resulting Numbers: [20, 74, 37]
Generated Node #2: [20, 74, 37] from Operation: 66-29=37
Current State: 22:[20, 74, 37], Operations: ['66-29=37']
Exploring Operation: 74/37=2, Resulting Numbers: [20, 2]
Generated Node #3: [20, 2] from Operation: 74/37=2
Current State: 22:[20, 2], Operations: ['66-29=37', '74/37=2']
Exploring Operation: 20+2=22, Resulting Numbers: [22]
22,22 equal: Goal Reached
| 4 |
[
64,
27,
29,
10
] | 42 | [
"29-27=2",
"64/2=32",
"10+32=42"
] | Current State: 42:[64, 27, 29, 10], Operations: []
Exploring Operation: 29-27=2, Resulting Numbers: [64, 10, 2]
Generated Node #2: [64, 10, 2] from Operation: 29-27=2
Current State: 42:[64, 10, 2], Operations: ['29-27=2']
Exploring Operation: 64/2=32, Resulting Numbers: [10, 32]
Generated Node #3: [10, 32] from Operation: 64/2=32
Current State: 42:[10, 32], Operations: ['29-27=2', '64/2=32']
Exploring Operation: 10+32=42, Resulting Numbers: [42]
42,42 equal: Goal Reached
| 4 |
[
27,
2,
25,
8
] | 39 | [
"25+8=33",
"2*33=66",
"66-27=39"
] | Current State: 39:[27, 2, 25, 8], Operations: []
Exploring Operation: 25+8=33, Resulting Numbers: [27, 2, 33]
Generated Node #2: [27, 2, 33] from Operation: 25+8=33
Current State: 39:[27, 2, 33], Operations: ['25+8=33']
Exploring Operation: 2*33=66, Resulting Numbers: [27, 66]
Generated Node #3: [27, 66] from Operation: 2*33=66
Current State: 39:[27, 66], Operations: ['25+8=33', '2*33=66']
Exploring Operation: 66-27=39, Resulting Numbers: [39]
39,39 equal: Goal Reached
| 4 |
[
4,
18,
16,
96
] | 26 | [
"16-4=12",
"96/12=8",
"18+8=26"
] | Current State: 26:[4, 18, 16, 96], Operations: []
Exploring Operation: 16-4=12, Resulting Numbers: [18, 96, 12]
Generated Node #2: [18, 96, 12] from Operation: 16-4=12
Current State: 26:[18, 96, 12], Operations: ['16-4=12']
Exploring Operation: 96/12=8, Resulting Numbers: [18, 8]
Generated Node #3: [18, 8] from Operation: 96/12=8
Current State: 26:[18, 8], Operations: ['16-4=12', '96/12=8']
Exploring Operation: 18+8=26, Resulting Numbers: [26]
26,26 equal: Goal Reached
| 4 |
[
3,
77,
14,
86
] | 65 | [
"77-14=63",
"63/3=21",
"86-21=65"
] | Current State: 65:[3, 77, 14, 86], Operations: []
Exploring Operation: 77-14=63, Resulting Numbers: [3, 86, 63]
Generated Node #2: [3, 86, 63] from Operation: 77-14=63
Current State: 65:[3, 86, 63], Operations: ['77-14=63']
Exploring Operation: 63/3=21, Resulting Numbers: [86, 21]
Generated Node #3: [86, 21] from Operation: 63/3=21
Current State: 65:[86, 21], Operations: ['77-14=63', '63/3=21']
Exploring Operation: 86-21=65, Resulting Numbers: [65]
65,65 equal: Goal Reached
| 4 |
[
25,
41,
64,
3
] | 34 | [
"25+64=89",
"41*3=123",
"123-89=34"
] | Current State: 34:[25, 41, 64, 3], Operations: []
Exploring Operation: 25+64=89, Resulting Numbers: [41, 3, 89]
Generated Node #2: [41, 3, 89] from Operation: 25+64=89
Current State: 34:[41, 3, 89], Operations: ['25+64=89']
Exploring Operation: 41*3=123, Resulting Numbers: [89, 123]
Generated Node #3: [89, 123] from Operation: 41*3=123
Current State: 34:[89, 123], Operations: ['25+64=89', '41*3=123']
Exploring Operation: 123-89=34, Resulting Numbers: [34]
34,34 equal: Goal Reached
| 4 |
[
6,
53,
69,
94
] | 67 | [
"53-6=47",
"94/47=2",
"69-2=67"
] | Current State: 67:[6, 53, 69, 94], Operations: []
Exploring Operation: 53-6=47, Resulting Numbers: [69, 94, 47]
Generated Node #2: [69, 94, 47] from Operation: 53-6=47
Current State: 67:[69, 94, 47], Operations: ['53-6=47']
Exploring Operation: 94/47=2, Resulting Numbers: [69, 2]
Generated Node #3: [69, 2] from Operation: 94/47=2
Current State: 67:[69, 2], Operations: ['53-6=47', '94/47=2']
Exploring Operation: 69-2=67, Resulting Numbers: [67]
67,67 equal: Goal Reached
| 4 |
[
46,
39,
85,
75
] | 75 | [
"46+39=85",
"85+75=160",
"160-85=75"
] | Current State: 75:[46, 39, 85, 75], Operations: []
Exploring Operation: 46+39=85, Resulting Numbers: [85, 75, 85]
Generated Node #2: [85, 75, 85] from Operation: 46+39=85
Current State: 75:[85, 75, 85], Operations: ['46+39=85']
Exploring Operation: 85+75=160, Resulting Numbers: [160]
160,75 equal: Goal Reached
Exploring Operation: 160-85=75, Resulting Numbers: [75]
75,75 equal: Goal Reached
| 4 |
[
43,
87,
81,
24
] | 61 | [
"87-43=44",
"81+24=105",
"105-44=61"
] | Current State: 61:[43, 87, 81, 24], Operations: []
Exploring Operation: 87-43=44, Resulting Numbers: [81, 24, 44]
Generated Node #2: [81, 24, 44] from Operation: 87-43=44
Current State: 61:[81, 24, 44], Operations: ['87-43=44']
Exploring Operation: 81+24=105, Resulting Numbers: [44, 105]
Generated Node #3: [44, 105] from Operation: 81+24=105
Current State: 61:[44, 105], Operations: ['87-43=44', '81+24=105']
Exploring Operation: 105-44=61, Resulting Numbers: [61]
61,61 equal: Goal Reached
| 4 |
[
82,
75,
2,
69
] | 10 | [
"75+69=144",
"144/2=72",
"82-72=10"
] | Current State: 10:[82, 75, 2, 69], Operations: []
Exploring Operation: 75+69=144, Resulting Numbers: [82, 2, 144]
Generated Node #2: [82, 2, 144] from Operation: 75+69=144
Current State: 10:[82, 2, 144], Operations: ['75+69=144']
Exploring Operation: 144/2=72, Resulting Numbers: [82, 72]
Generated Node #3: [82, 72] from Operation: 144/2=72
Current State: 10:[82, 72], Operations: ['75+69=144', '144/2=72']
Exploring Operation: 82-72=10, Resulting Numbers: [10]
10,10 equal: Goal Reached
| 4 |
[
50,
7,
90,
10
] | 44 | [
"50*7=350",
"90+350=440",
"440/10=44"
] | Current State: 44:[50, 7, 90, 10], Operations: []
Exploring Operation: 50*7=350, Resulting Numbers: [90, 10, 350]
Generated Node #2: [90, 10, 350] from Operation: 50*7=350
Current State: 44:[90, 10, 350], Operations: ['50*7=350']
Exploring Operation: 90+350=440, Resulting Numbers: [10, 440]
Generated Node #3: [10, 440] from Operation: 90+350=440
Current State: 44:[10, 440], Operations: ['50*7=350', '90+350=440']
Exploring Operation: 440/10=44, Resulting Numbers: [44]
44,44 equal: Goal Reached
| 4 |
[
73,
36,
2,
29
] | 82 | [
"73+36=109",
"29-2=27",
"109-27=82"
] | Current State: 82:[73, 36, 2, 29], Operations: []
Exploring Operation: 73+36=109, Resulting Numbers: [2, 29, 109]
Generated Node #2: [2, 29, 109] from Operation: 73+36=109
Current State: 82:[2, 29, 109], Operations: ['73+36=109']
Exploring Operation: 29-2=27, Resulting Numbers: [109, 27]
Generated Node #3: [109, 27] from Operation: 29-2=27
Current State: 82:[109, 27], Operations: ['73+36=109', '29-2=27']
Exploring Operation: 109-27=82, Resulting Numbers: [82]
82,82 equal: Goal Reached
| 4 |
[
76,
97,
90,
20
] | 49 | [
"97-76=21",
"90-20=70",
"70-21=49"
] | Current State: 49:[76, 97, 90, 20], Operations: []
Exploring Operation: 97-76=21, Resulting Numbers: [90, 20, 21]
Generated Node #2: [90, 20, 21] from Operation: 97-76=21
Current State: 49:[90, 20, 21], Operations: ['97-76=21']
Exploring Operation: 90-20=70, Resulting Numbers: [21, 70]
Generated Node #3: [21, 70] from Operation: 90-20=70
Current State: 49:[21, 70], Operations: ['97-76=21', '90-20=70']
Exploring Operation: 70-21=49, Resulting Numbers: [49]
49,49 equal: Goal Reached
| 4 |
[
39,
48,
33,
91
] | 35 | [
"48-33=15",
"91*15=1365",
"1365/39=35"
] | Current State: 35:[39, 48, 33, 91], Operations: []
Exploring Operation: 48-33=15, Resulting Numbers: [39, 91, 15]
Generated Node #2: [39, 91, 15] from Operation: 48-33=15
Current State: 35:[39, 91, 15], Operations: ['48-33=15']
Exploring Operation: 91*15=1365, Resulting Numbers: [39, 1365]
Generated Node #3: [39, 1365] from Operation: 91*15=1365
Current State: 35:[39, 1365], Operations: ['48-33=15', '91*15=1365']
Exploring Operation: 1365/39=35, Resulting Numbers: [35]
35,35 equal: Goal Reached
| 4 |
[
54,
72,
77,
32
] | 53 | [
"54*32=1728",
"1728/72=24",
"77-24=53"
] | Current State: 53:[54, 72, 77, 32], Operations: []
Exploring Operation: 54*32=1728, Resulting Numbers: [72, 77, 1728]
Generated Node #2: [72, 77, 1728] from Operation: 54*32=1728
Current State: 53:[72, 77, 1728], Operations: ['54*32=1728']
Exploring Operation: 1728/72=24, Resulting Numbers: [77, 24]
Generated Node #3: [77, 24] from Operation: 1728/72=24
Current State: 53:[77, 24], Operations: ['54*32=1728', '1728/72=24']
Exploring Operation: 77-24=53, Resulting Numbers: [53]
53,53 equal: Goal Reached
| 4 |
[
84,
53,
94,
90
] | 27 | [
"84-53=31",
"94-90=4",
"31-4=27"
] | Current State: 27:[84, 53, 94, 90], Operations: []
Exploring Operation: 84-53=31, Resulting Numbers: [94, 90, 31]
Generated Node #2: [94, 90, 31] from Operation: 84-53=31
Current State: 27:[94, 90, 31], Operations: ['84-53=31']
Exploring Operation: 94-90=4, Resulting Numbers: [31, 4]
Generated Node #3: [31, 4] from Operation: 94-90=4
Current State: 27:[31, 4], Operations: ['84-53=31', '94-90=4']
Exploring Operation: 31-4=27, Resulting Numbers: [27]
27,27 equal: Goal Reached
| 4 |
[
9,
70,
76,
24
] | 90 | [
"24-9=15",
"76-70=6",
"15*6=90"
] | Current State: 90:[9, 70, 76, 24], Operations: []
Exploring Operation: 24-9=15, Resulting Numbers: [70, 76, 15]
Generated Node #2: [70, 76, 15] from Operation: 24-9=15
Current State: 90:[70, 76, 15], Operations: ['24-9=15']
Exploring Operation: 76-70=6, Resulting Numbers: [15, 6]
Generated Node #3: [15, 6] from Operation: 76-70=6
Current State: 90:[15, 6], Operations: ['24-9=15', '76-70=6']
Exploring Operation: 15*6=90, Resulting Numbers: [90]
90,90 equal: Goal Reached
| 4 |
[
39,
57,
77,
51
] | 32 | [
"39+57=96",
"77+51=128",
"128-96=32"
] | Current State: 32:[39, 57, 77, 51], Operations: []
Exploring Operation: 39+57=96, Resulting Numbers: [77, 51, 96]
Generated Node #2: [77, 51, 96] from Operation: 39+57=96
Current State: 32:[77, 51, 96], Operations: ['39+57=96']
Exploring Operation: 77+51=128, Resulting Numbers: [96, 128]
Generated Node #3: [96, 128] from Operation: 77+51=128
Current State: 32:[96, 128], Operations: ['39+57=96', '77+51=128']
Exploring Operation: 128-96=32, Resulting Numbers: [32]
32,32 equal: Goal Reached
| 4 |
[
55,
13,
18,
35
] | 62 | [
"18-13=5",
"35/5=7",
"55+7=62"
] | Current State: 62:[55, 13, 18, 35], Operations: []
Exploring Operation: 18-13=5, Resulting Numbers: [55, 35, 5]
Generated Node #2: [55, 35, 5] from Operation: 18-13=5
Current State: 62:[55, 35, 5], Operations: ['18-13=5']
Exploring Operation: 35/5=7, Resulting Numbers: [55, 7]
Generated Node #3: [55, 7] from Operation: 35/5=7
Current State: 62:[55, 7], Operations: ['18-13=5', '35/5=7']
Exploring Operation: 55+7=62, Resulting Numbers: [62]
62,62 equal: Goal Reached
| 4 |
[
30,
54,
12,
72
] | 45 | [
"72-54=18",
"30*18=540",
"540/12=45"
] | Current State: 45:[30, 54, 12, 72], Operations: []
Exploring Operation: 72-54=18, Resulting Numbers: [30, 12, 18]
Generated Node #2: [30, 12, 18] from Operation: 72-54=18
Current State: 45:[30, 12, 18], Operations: ['72-54=18']
Exploring Operation: 30*18=540, Resulting Numbers: [12, 540]
Generated Node #3: [12, 540] from Operation: 30*18=540
Current State: 45:[12, 540], Operations: ['72-54=18', '30*18=540']
Exploring Operation: 540/12=45, Resulting Numbers: [45]
45,45 equal: Goal Reached
| 4 |
[
33,
76,
21,
3
] | 94 | [
"33+21=54",
"54/3=18",
"76+18=94"
] | Current State: 94:[33, 76, 21, 3], Operations: []
Exploring Operation: 33+21=54, Resulting Numbers: [76, 3, 54]
Generated Node #2: [76, 3, 54] from Operation: 33+21=54
Current State: 94:[76, 3, 54], Operations: ['33+21=54']
Exploring Operation: 54/3=18, Resulting Numbers: [76, 18]
Generated Node #3: [76, 18] from Operation: 54/3=18
Current State: 94:[76, 18], Operations: ['33+21=54', '54/3=18']
Exploring Operation: 76+18=94, Resulting Numbers: [94]
94,94 equal: Goal Reached
| 4 |
[
56,
74,
42,
28
] | 88 | [
"74-56=18",
"42+28=70",
"18+70=88"
] | Current State: 88:[56, 74, 42, 28], Operations: []
Exploring Operation: 74-56=18, Resulting Numbers: [42, 28, 18]
Generated Node #2: [42, 28, 18] from Operation: 74-56=18
Current State: 88:[42, 28, 18], Operations: ['74-56=18']
Exploring Operation: 42+28=70, Resulting Numbers: [18, 70]
Generated Node #3: [18, 70] from Operation: 42+28=70
Current State: 88:[18, 70], Operations: ['74-56=18', '42+28=70']
Exploring Operation: 18+70=88, Resulting Numbers: [88]
88,88 equal: Goal Reached
| 4 |
[
40,
91,
49,
24
] | 70 | [
"91-49=42",
"40*42=1680",
"1680/24=70"
] | Current State: 70:[40, 91, 49, 24], Operations: []
Exploring Operation: 91-49=42, Resulting Numbers: [40, 24, 42]
Generated Node #2: [40, 24, 42] from Operation: 91-49=42
Current State: 70:[40, 24, 42], Operations: ['91-49=42']
Exploring Operation: 40*42=1680, Resulting Numbers: [24, 1680]
Generated Node #3: [24, 1680] from Operation: 40*42=1680
Current State: 70:[24, 1680], Operations: ['91-49=42', '40*42=1680']
Exploring Operation: 1680/24=70, Resulting Numbers: [70]
70,70 equal: Goal Reached
| 4 |
[
1,
86,
24,
11
] | 50 | [
"86-1=85",
"24+11=35",
"85-35=50"
] | Current State: 50:[1, 86, 24, 11], Operations: []
Exploring Operation: 86-1=85, Resulting Numbers: [24, 11, 85]
Generated Node #2: [24, 11, 85] from Operation: 86-1=85
Current State: 50:[24, 11, 85], Operations: ['86-1=85']
Exploring Operation: 24+11=35, Resulting Numbers: [85, 35]
Generated Node #3: [85, 35] from Operation: 24+11=35
Current State: 50:[85, 35], Operations: ['86-1=85', '24+11=35']
Exploring Operation: 85-35=50, Resulting Numbers: [50]
50,50 equal: Goal Reached
| 4 |
[
72,
14,
6,
97
] | 59 | [
"97-72=25",
"14*6=84",
"84-25=59"
] | Current State: 59:[72, 14, 6, 97], Operations: []
Exploring Operation: 97-72=25, Resulting Numbers: [14, 6, 25]
Generated Node #2: [14, 6, 25] from Operation: 97-72=25
Current State: 59:[14, 6, 25], Operations: ['97-72=25']
Exploring Operation: 14*6=84, Resulting Numbers: [25, 84]
Generated Node #3: [25, 84] from Operation: 14*6=84
Current State: 59:[25, 84], Operations: ['97-72=25', '14*6=84']
Exploring Operation: 84-25=59, Resulting Numbers: [59]
59,59 equal: Goal Reached
| 4 |
[
1,
11,
6,
95
] | 12 | [
"1+6=7",
"95-11=84",
"84/7=12"
] | Current State: 12:[1, 11, 6, 95], Operations: []
Exploring Operation: 1+6=7, Resulting Numbers: [11, 95, 7]
Generated Node #2: [11, 95, 7] from Operation: 1+6=7
Current State: 12:[11, 95, 7], Operations: ['1+6=7']
Exploring Operation: 95-11=84, Resulting Numbers: [7, 84]
Generated Node #3: [7, 84] from Operation: 95-11=84
Current State: 12:[7, 84], Operations: ['1+6=7', '95-11=84']
Exploring Operation: 84/7=12, Resulting Numbers: [12]
12,12 equal: Goal Reached
| 4 |
[
69,
6,
60,
2
] | 12 | [
"69-60=9",
"6/2=3",
"9+3=12"
] | Current State: 12:[69, 6, 60, 2], Operations: []
Exploring Operation: 69-60=9, Resulting Numbers: [6, 2, 9]
Generated Node #2: [6, 2, 9] from Operation: 69-60=9
Current State: 12:[6, 2, 9], Operations: ['69-60=9']
Exploring Operation: 6/2=3, Resulting Numbers: [9, 3]
Generated Node #3: [9, 3] from Operation: 6/2=3
Current State: 12:[9, 3], Operations: ['69-60=9', '6/2=3']
Exploring Operation: 9+3=12, Resulting Numbers: [12]
12,12 equal: Goal Reached
| 4 |
[
58,
50,
99,
11
] | 20 | [
"58+50=108",
"99-11=88",
"108-88=20"
] | Current State: 20:[58, 50, 99, 11], Operations: []
Exploring Operation: 58+50=108, Resulting Numbers: [99, 11, 108]
Generated Node #2: [99, 11, 108] from Operation: 58+50=108
Current State: 20:[99, 11, 108], Operations: ['58+50=108']
Exploring Operation: 99-11=88, Resulting Numbers: [108, 88]
Generated Node #3: [108, 88] from Operation: 99-11=88
Current State: 20:[108, 88], Operations: ['58+50=108', '99-11=88']
Exploring Operation: 108-88=20, Resulting Numbers: [20]
20,20 equal: Goal Reached
| 4 |
[
11,
94,
9,
75
] | 17 | [
"94-11=83",
"75-9=66",
"83-66=17"
] | Current State: 17:[11, 94, 9, 75], Operations: []
Exploring Operation: 94-11=83, Resulting Numbers: [9, 75, 83]
Generated Node #2: [9, 75, 83] from Operation: 94-11=83
Current State: 17:[9, 75, 83], Operations: ['94-11=83']
Exploring Operation: 75-9=66, Resulting Numbers: [83, 66]
Generated Node #3: [83, 66] from Operation: 75-9=66
Current State: 17:[83, 66], Operations: ['94-11=83', '75-9=66']
Exploring Operation: 83-66=17, Resulting Numbers: [17]
17,17 equal: Goal Reached
| 4 |
[
2,
79,
12,
31
] | 41 | [
"31-12=19",
"2*19=38",
"79-38=41"
] | Current State: 41:[2, 79, 12, 31], Operations: []
Exploring Operation: 31-12=19, Resulting Numbers: [2, 79, 19]
Generated Node #2: [2, 79, 19] from Operation: 31-12=19
Current State: 41:[2, 79, 19], Operations: ['31-12=19']
Exploring Operation: 2*19=38, Resulting Numbers: [79, 38]
Generated Node #3: [79, 38] from Operation: 2*19=38
Current State: 41:[79, 38], Operations: ['31-12=19', '2*19=38']
Exploring Operation: 79-38=41, Resulting Numbers: [41]
41,41 equal: Goal Reached
| 4 |
[
34,
68,
69,
3
] | 36 | [
"34+68=102",
"69-3=66",
"102-66=36"
] | Current State: 36:[34, 68, 69, 3], Operations: []
Exploring Operation: 34+68=102, Resulting Numbers: [69, 3, 102]
Generated Node #2: [69, 3, 102] from Operation: 34+68=102
Current State: 36:[69, 3, 102], Operations: ['34+68=102']
Exploring Operation: 69-3=66, Resulting Numbers: [102, 66]
Generated Node #3: [102, 66] from Operation: 69-3=66
Current State: 36:[102, 66], Operations: ['34+68=102', '69-3=66']
Exploring Operation: 102-66=36, Resulting Numbers: [36]
36,36 equal: Goal Reached
| 4 |
[
46,
37,
96,
75
] | 62 | [
"46+37=83",
"96-75=21",
"83-21=62"
] | Current State: 62:[46, 37, 96, 75], Operations: []
Exploring Operation: 46+37=83, Resulting Numbers: [96, 75, 83]
Generated Node #2: [96, 75, 83] from Operation: 46+37=83
Current State: 62:[96, 75, 83], Operations: ['46+37=83']
Exploring Operation: 96-75=21, Resulting Numbers: [83, 21]
Generated Node #3: [83, 21] from Operation: 96-75=21
Current State: 62:[83, 21], Operations: ['46+37=83', '96-75=21']
Exploring Operation: 83-21=62, Resulting Numbers: [62]
62,62 equal: Goal Reached
| 4 |
[
63,
60,
3,
34
] | 35 | [
"63-60=3",
"3/3=1",
"34+1=35"
] | Current State: 35:[63, 60, 3, 34], Operations: []
Exploring Operation: 63-60=3, Resulting Numbers: [3, 34, 3]
Generated Node #2: [3, 34, 3] from Operation: 63-60=3
Current State: 35:[3, 34, 3], Operations: ['63-60=3']
Exploring Operation: 3/3=1, Resulting Numbers: [34, 1]
Generated Node #3: [34, 1] from Operation: 3/3=1
Current State: 35:[34, 1], Operations: ['63-60=3', '3/3=1']
Exploring Operation: 34+1=35, Resulting Numbers: [35]
35,35 equal: Goal Reached
| 4 |
[
26,
8,
24,
13
] | 55 | [
"26-8=18",
"24+13=37",
"18+37=55"
] | Current State: 55:[26, 8, 24, 13], Operations: []
Exploring Operation: 26-8=18, Resulting Numbers: [24, 13, 18]
Generated Node #2: [24, 13, 18] from Operation: 26-8=18
Current State: 55:[24, 13, 18], Operations: ['26-8=18']
Exploring Operation: 24+13=37, Resulting Numbers: [18, 37]
Generated Node #3: [18, 37] from Operation: 24+13=37
Current State: 55:[18, 37], Operations: ['26-8=18', '24+13=37']
Exploring Operation: 18+37=55, Resulting Numbers: [55]
55,55 equal: Goal Reached
| 4 |
[
17,
3,
81,
4
] | 74 | [
"17+4=21",
"21/3=7",
"81-7=74"
] | Current State: 74:[17, 3, 81, 4], Operations: []
Exploring Operation: 17+4=21, Resulting Numbers: [3, 81, 21]
Generated Node #2: [3, 81, 21] from Operation: 17+4=21
Current State: 74:[3, 81, 21], Operations: ['17+4=21']
Exploring Operation: 21/3=7, Resulting Numbers: [81, 7]
Generated Node #3: [81, 7] from Operation: 21/3=7
Current State: 74:[81, 7], Operations: ['17+4=21', '21/3=7']
Exploring Operation: 81-7=74, Resulting Numbers: [74]
74,74 equal: Goal Reached
| 4 |
[
77,
11,
25,
22
] | 18 | [
"22-11=11",
"77/11=7",
"25-7=18"
] | Current State: 18:[77, 11, 25, 22], Operations: []
Exploring Operation: 22-11=11, Resulting Numbers: [77, 25, 11]
Generated Node #2: [77, 25, 11] from Operation: 22-11=11
Current State: 18:[77, 25, 11], Operations: ['22-11=11']
Exploring Operation: 77/11=7, Resulting Numbers: [25, 7]
Generated Node #3: [25, 7] from Operation: 77/11=7
Current State: 18:[25, 7], Operations: ['22-11=11', '77/11=7']
Exploring Operation: 25-7=18, Resulting Numbers: [18]
18,18 equal: Goal Reached
| 4 |
[
86,
16,
95,
32
] | 52 | [
"86*16=1376",
"1376/32=43",
"95-43=52"
] | Current State: 52:[86, 16, 95, 32], Operations: []
Exploring Operation: 86*16=1376, Resulting Numbers: [95, 32, 1376]
Generated Node #2: [95, 32, 1376] from Operation: 86*16=1376
Current State: 52:[95, 32, 1376], Operations: ['86*16=1376']
Exploring Operation: 1376/32=43, Resulting Numbers: [95, 43]
Generated Node #3: [95, 43] from Operation: 1376/32=43
Current State: 52:[95, 43], Operations: ['86*16=1376', '1376/32=43']
Exploring Operation: 95-43=52, Resulting Numbers: [52]
52,52 equal: Goal Reached
| 4 |
[
22,
24,
57,
39
] | 64 | [
"22+24=46",
"57-39=18",
"46+18=64"
] | Current State: 64:[22, 24, 57, 39], Operations: []
Exploring Operation: 22+24=46, Resulting Numbers: [57, 39, 46]
Generated Node #2: [57, 39, 46] from Operation: 22+24=46
Current State: 64:[57, 39, 46], Operations: ['22+24=46']
Exploring Operation: 57-39=18, Resulting Numbers: [46, 18]
Generated Node #3: [46, 18] from Operation: 57-39=18
Current State: 64:[46, 18], Operations: ['22+24=46', '57-39=18']
Exploring Operation: 46+18=64, Resulting Numbers: [64]
64,64 equal: Goal Reached
| 4 |
[
73,
12,
4,
92
] | 84 | [
"73-12=61",
"92/4=23",
"61+23=84"
] | Current State: 84:[73, 12, 4, 92], Operations: []
Exploring Operation: 73-12=61, Resulting Numbers: [4, 92, 61]
Generated Node #2: [4, 92, 61] from Operation: 73-12=61
Current State: 84:[4, 92, 61], Operations: ['73-12=61']
Exploring Operation: 92/4=23, Resulting Numbers: [61, 23]
Generated Node #3: [61, 23] from Operation: 92/4=23
Current State: 84:[61, 23], Operations: ['73-12=61', '92/4=23']
Exploring Operation: 61+23=84, Resulting Numbers: [84]
84,84 equal: Goal Reached
| 4 |
[
21,
8,
56,
43
] | 69 | [
"21*8=168",
"56+43=99",
"168-99=69"
] | Current State: 69:[21, 8, 56, 43], Operations: []
Exploring Operation: 21*8=168, Resulting Numbers: [56, 43, 168]
Generated Node #2: [56, 43, 168] from Operation: 21*8=168
Current State: 69:[56, 43, 168], Operations: ['21*8=168']
Exploring Operation: 56+43=99, Resulting Numbers: [168, 99]
Generated Node #3: [168, 99] from Operation: 56+43=99
Current State: 69:[168, 99], Operations: ['21*8=168', '56+43=99']
Exploring Operation: 168-99=69, Resulting Numbers: [69]
69,69 equal: Goal Reached
| 4 |
[
26,
82,
78,
88
] | 48 | [
"82-78=4",
"88/4=22",
"26+22=48"
] | Current State: 48:[26, 82, 78, 88], Operations: []
Exploring Operation: 82-78=4, Resulting Numbers: [26, 88, 4]
Generated Node #2: [26, 88, 4] from Operation: 82-78=4
Current State: 48:[26, 88, 4], Operations: ['82-78=4']
Exploring Operation: 88/4=22, Resulting Numbers: [26, 22]
Generated Node #3: [26, 22] from Operation: 88/4=22
Current State: 48:[26, 22], Operations: ['82-78=4', '88/4=22']
Exploring Operation: 26+22=48, Resulting Numbers: [48]
48,48 equal: Goal Reached
| 4 |
[
5,
21,
52,
32
] | 50 | [
"21-5=16",
"32/16=2",
"52-2=50"
] | Current State: 50:[5, 21, 52, 32], Operations: []
Exploring Operation: 21-5=16, Resulting Numbers: [52, 32, 16]
Generated Node #2: [52, 32, 16] from Operation: 21-5=16
Current State: 50:[52, 32, 16], Operations: ['21-5=16']
Exploring Operation: 32/16=2, Resulting Numbers: [52, 2]
Generated Node #3: [52, 2] from Operation: 32/16=2
Current State: 50:[52, 2], Operations: ['21-5=16', '32/16=2']
Exploring Operation: 52-2=50, Resulting Numbers: [50]
50,50 equal: Goal Reached
| 4 |
[
88,
7,
86,
97
] | 56 | [
"88*7=616",
"97-86=11",
"616/11=56"
] | Current State: 56:[88, 7, 86, 97], Operations: []
Exploring Operation: 88*7=616, Resulting Numbers: [86, 97, 616]
Generated Node #2: [86, 97, 616] from Operation: 88*7=616
Current State: 56:[86, 97, 616], Operations: ['88*7=616']
Exploring Operation: 97-86=11, Resulting Numbers: [616, 11]
Generated Node #3: [616, 11] from Operation: 97-86=11
Current State: 56:[616, 11], Operations: ['88*7=616', '97-86=11']
Exploring Operation: 616/11=56, Resulting Numbers: [56]
56,56 equal: Goal Reached
| 4 |
[
42,
80,
93,
77
] | 17 | [
"93-42=51",
"80-77=3",
"51/3=17"
] | Current State: 17:[42, 80, 93, 77], Operations: []
Exploring Operation: 93-42=51, Resulting Numbers: [80, 77, 51]
Generated Node #2: [80, 77, 51] from Operation: 93-42=51
Current State: 17:[80, 77, 51], Operations: ['93-42=51']
Exploring Operation: 80-77=3, Resulting Numbers: [51, 3]
Generated Node #3: [51, 3] from Operation: 80-77=3
Current State: 17:[51, 3], Operations: ['93-42=51', '80-77=3']
Exploring Operation: 51/3=17, Resulting Numbers: [17]
17,17 equal: Goal Reached
| 4 |
[
94,
95,
4,
65
] | 61 | [
"95-94=1",
"65-4=61",
"1*61=61"
] | Current State: 61:[94, 95, 4, 65], Operations: []
Exploring Operation: 95-94=1, Resulting Numbers: [4, 65, 1]
Generated Node #2: [4, 65, 1] from Operation: 95-94=1
Current State: 61:[4, 65, 1], Operations: ['95-94=1']
Exploring Operation: 65-4=61, Resulting Numbers: [1, 61]
Generated Node #3: [1, 61] from Operation: 65-4=61
Current State: 61:[1, 61], Operations: ['95-94=1', '65-4=61']
Exploring Operation: 1*61=61, Resulting Numbers: [61]
61,61 equal: Goal Reached
| 4 |
[
52,
94,
5,
13
] | 74 | [
"52*5=260",
"260/13=20",
"94-20=74"
] | Current State: 74:[52, 94, 5, 13], Operations: []
Exploring Operation: 52*5=260, Resulting Numbers: [94, 13, 260]
Generated Node #2: [94, 13, 260] from Operation: 52*5=260
Current State: 74:[94, 13, 260], Operations: ['52*5=260']
Exploring Operation: 260/13=20, Resulting Numbers: [94, 20]
Generated Node #3: [94, 20] from Operation: 260/13=20
Current State: 74:[94, 20], Operations: ['52*5=260', '260/13=20']
Exploring Operation: 94-20=74, Resulting Numbers: [74]
74,74 equal: Goal Reached
| 4 |
[
16,
50,
4,
71
] | 41 | [
"50-16=34",
"4+71=75",
"75-34=41"
] | Current State: 41:[16, 50, 4, 71], Operations: []
Exploring Operation: 50-16=34, Resulting Numbers: [4, 71, 34]
Generated Node #2: [4, 71, 34] from Operation: 50-16=34
Current State: 41:[4, 71, 34], Operations: ['50-16=34']
Exploring Operation: 4+71=75, Resulting Numbers: [34, 75]
Generated Node #3: [34, 75] from Operation: 4+71=75
Current State: 41:[34, 75], Operations: ['50-16=34', '4+71=75']
Exploring Operation: 75-34=41, Resulting Numbers: [41]
41,41 equal: Goal Reached
| 4 |
[
7,
9,
58,
1
] | 41 | [
"7+9=16",
"58-1=57",
"57-16=41"
] | Current State: 41:[7, 9, 58, 1], Operations: []
Exploring Operation: 7+9=16, Resulting Numbers: [58, 1, 16]
Generated Node #2: [58, 1, 16] from Operation: 7+9=16
Current State: 41:[58, 1, 16], Operations: ['7+9=16']
Exploring Operation: 58-1=57, Resulting Numbers: [16, 57]
Generated Node #3: [16, 57] from Operation: 58-1=57
Current State: 41:[16, 57], Operations: ['7+9=16', '58-1=57']
Exploring Operation: 57-16=41, Resulting Numbers: [41]
41,41 equal: Goal Reached
| 4 |
[
59,
55,
76,
74
] | 55 | [
"59-55=4",
"76/4=19",
"74-19=55"
] | Current State: 55:[59, 55, 76, 74], Operations: []
Exploring Operation: 59-55=4, Resulting Numbers: [76, 74, 4]
Generated Node #2: [76, 74, 4] from Operation: 59-55=4
Current State: 55:[76, 74, 4], Operations: ['59-55=4']
Exploring Operation: 76/4=19, Resulting Numbers: [74, 19]
Generated Node #3: [74, 19] from Operation: 76/4=19
Current State: 55:[74, 19], Operations: ['59-55=4', '76/4=19']
Exploring Operation: 74-19=55, Resulting Numbers: [55]
55,55 equal: Goal Reached
| 4 |
[
81,
77,
86,
8
] | 64 | [
"81+77=158",
"86+8=94",
"158-94=64"
] | Current State: 64:[81, 77, 86, 8], Operations: []
Exploring Operation: 81+77=158, Resulting Numbers: [86, 8, 158]
Generated Node #2: [86, 8, 158] from Operation: 81+77=158
Current State: 64:[86, 8, 158], Operations: ['81+77=158']
Exploring Operation: 86+8=94, Resulting Numbers: [158, 94]
Generated Node #3: [158, 94] from Operation: 86+8=94
Current State: 64:[158, 94], Operations: ['81+77=158', '86+8=94']
Exploring Operation: 158-94=64, Resulting Numbers: [64]
64,64 equal: Goal Reached
| 4 |
[
66,
32,
93,
32
] | 26 | [
"93-66=27",
"32/32=1",
"27-1=26"
] | Current State: 26:[66, 32, 93, 32], Operations: []
Exploring Operation: 93-66=27, Resulting Numbers: [32, 32, 27]
Generated Node #2: [32, 32, 27] from Operation: 93-66=27
Current State: 26:[32, 32, 27], Operations: ['93-66=27']
Exploring Operation: 32/32=1, Resulting Numbers: [27, 1]
Generated Node #3: [27, 1] from Operation: 32/32=1
Current State: 26:[27, 1], Operations: ['93-66=27', '32/32=1']
Exploring Operation: 27-1=26, Resulting Numbers: [26]
26,26 equal: Goal Reached
| 4 |
[
8,
18,
16,
16
] | 16 | [
"16-8=8",
"18-16=2",
"8*2=16"
] | Current State: 16:[8, 18, 16, 16], Operations: []
Exploring Operation: 16-8=8, Resulting Numbers: [18, 8]
Generated Node #2: [18, 8] from Operation: 16-8=8
Current State: 16:[18, 8], Operations: ['16-8=8']
Exploring Operation: 18-16=2, Resulting Numbers: [8, 2]
Generated Node #3: [8, 2] from Operation: 18-16=2
Current State: 16:[8, 2], Operations: ['16-8=8', '18-16=2']
Exploring Operation: 8*2=16, Resulting Numbers: [16]
16,16 equal: Goal Reached
| 4 |
[
6,
3,
22,
78
] | 51 | [
"6*22=132",
"3+78=81",
"132-81=51"
] | Current State: 51:[6, 3, 22, 78], Operations: []
Exploring Operation: 6*22=132, Resulting Numbers: [3, 78, 132]
Generated Node #2: [3, 78, 132] from Operation: 6*22=132
Current State: 51:[3, 78, 132], Operations: ['6*22=132']
Exploring Operation: 3+78=81, Resulting Numbers: [132, 81]
Generated Node #3: [132, 81] from Operation: 3+78=81
Current State: 51:[132, 81], Operations: ['6*22=132', '3+78=81']
Exploring Operation: 132-81=51, Resulting Numbers: [51]
51,51 equal: Goal Reached
| 4 |
[
18,
86,
2,
49
] | 53 | [
"18+86=104",
"2+49=51",
"104-51=53"
] | Current State: 53:[18, 86, 2, 49], Operations: []
Exploring Operation: 18+86=104, Resulting Numbers: [2, 49, 104]
Generated Node #2: [2, 49, 104] from Operation: 18+86=104
Current State: 53:[2, 49, 104], Operations: ['18+86=104']
Exploring Operation: 2+49=51, Resulting Numbers: [104, 51]
Generated Node #3: [104, 51] from Operation: 2+49=51
Current State: 53:[104, 51], Operations: ['18+86=104', '2+49=51']
Exploring Operation: 104-51=53, Resulting Numbers: [53]
53,53 equal: Goal Reached
| 4 |
[
99,
66,
41,
34
] | 40 | [
"99-66=33",
"41-34=7",
"33+7=40"
] | Current State: 40:[99, 66, 41, 34], Operations: []
Exploring Operation: 99-66=33, Resulting Numbers: [41, 34, 33]
Generated Node #2: [41, 34, 33] from Operation: 99-66=33
Current State: 40:[41, 34, 33], Operations: ['99-66=33']
Exploring Operation: 41-34=7, Resulting Numbers: [33, 7]
Generated Node #3: [33, 7] from Operation: 41-34=7
Current State: 40:[33, 7], Operations: ['99-66=33', '41-34=7']
Exploring Operation: 33+7=40, Resulting Numbers: [40]
40,40 equal: Goal Reached
| 4 |
[
23,
25,
61,
35
] | 87 | [
"25-23=2",
"61*2=122",
"122-35=87"
] | Current State: 87:[23, 25, 61, 35], Operations: []
Exploring Operation: 25-23=2, Resulting Numbers: [61, 35, 2]
Generated Node #2: [61, 35, 2] from Operation: 25-23=2
Current State: 87:[61, 35, 2], Operations: ['25-23=2']
Exploring Operation: 61*2=122, Resulting Numbers: [35, 122]
Generated Node #3: [35, 122] from Operation: 61*2=122
Current State: 87:[35, 122], Operations: ['25-23=2', '61*2=122']
Exploring Operation: 122-35=87, Resulting Numbers: [87]
87,87 equal: Goal Reached
| 4 |
[
12,
9,
91,
15
] | 88 | [
"12+15=27",
"27/9=3",
"91-3=88"
] | Current State: 88:[12, 9, 91, 15], Operations: []
Exploring Operation: 12+15=27, Resulting Numbers: [9, 91, 27]
Generated Node #2: [9, 91, 27] from Operation: 12+15=27
Current State: 88:[9, 91, 27], Operations: ['12+15=27']
Exploring Operation: 27/9=3, Resulting Numbers: [91, 3]
Generated Node #3: [91, 3] from Operation: 27/9=3
Current State: 88:[91, 3], Operations: ['12+15=27', '27/9=3']
Exploring Operation: 91-3=88, Resulting Numbers: [88]
88,88 equal: Goal Reached
| 4 |
[
94,
80,
16,
82
] | 16 | [
"94+80=174",
"82+174=256",
"256/16=16"
] | Current State: 16:[94, 80, 16, 82], Operations: []
Exploring Operation: 94+80=174, Resulting Numbers: [16, 82, 174]
Generated Node #2: [16, 82, 174] from Operation: 94+80=174
Current State: 16:[16, 82, 174], Operations: ['94+80=174']
Exploring Operation: 82+174=256, Resulting Numbers: [16, 256]
Generated Node #3: [16, 256] from Operation: 82+174=256
Current State: 16:[16, 256], Operations: ['94+80=174', '82+174=256']
Exploring Operation: 256/16=16, Resulting Numbers: [16]
16,16 equal: Goal Reached
| 4 |
[
7,
45,
30,
12
] | 34 | [
"7+45=52",
"30-12=18",
"52-18=34"
] | Current State: 34:[7, 45, 30, 12], Operations: []
Exploring Operation: 7+45=52, Resulting Numbers: [30, 12, 52]
Generated Node #2: [30, 12, 52] from Operation: 7+45=52
Current State: 34:[30, 12, 52], Operations: ['7+45=52']
Exploring Operation: 30-12=18, Resulting Numbers: [52, 18]
Generated Node #3: [52, 18] from Operation: 30-12=18
Current State: 34:[52, 18], Operations: ['7+45=52', '30-12=18']
Exploring Operation: 52-18=34, Resulting Numbers: [34]
34,34 equal: Goal Reached
| 4 |
[
34,
30,
2,
94
] | 28 | [
"34+30=64",
"94-2=92",
"92-64=28"
] | Current State: 28:[34, 30, 2, 94], Operations: []
Exploring Operation: 34+30=64, Resulting Numbers: [2, 94, 64]
Generated Node #2: [2, 94, 64] from Operation: 34+30=64
Current State: 28:[2, 94, 64], Operations: ['34+30=64']
Exploring Operation: 94-2=92, Resulting Numbers: [64, 92]
Generated Node #3: [64, 92] from Operation: 94-2=92
Current State: 28:[64, 92], Operations: ['34+30=64', '94-2=92']
Exploring Operation: 92-64=28, Resulting Numbers: [28]
28,28 equal: Goal Reached
| 4 |
[
7,
15,
17,
48
] | 56 | [
"7*17=119",
"15+48=63",
"119-63=56"
] | Current State: 56:[7, 15, 17, 48], Operations: []
Exploring Operation: 7*17=119, Resulting Numbers: [15, 48, 119]
Generated Node #2: [15, 48, 119] from Operation: 7*17=119
Current State: 56:[15, 48, 119], Operations: ['7*17=119']
Exploring Operation: 15+48=63, Resulting Numbers: [119, 63]
Generated Node #3: [119, 63] from Operation: 15+48=63
Current State: 56:[119, 63], Operations: ['7*17=119', '15+48=63']
Exploring Operation: 119-63=56, Resulting Numbers: [56]
56,56 equal: Goal Reached
| 4 |
[
64,
46,
76,
15
] | 62 | [
"76-46=30",
"30/15=2",
"64-2=62"
] | Current State: 62:[64, 46, 76, 15], Operations: []
Exploring Operation: 76-46=30, Resulting Numbers: [64, 15, 30]
Generated Node #2: [64, 15, 30] from Operation: 76-46=30
Current State: 62:[64, 15, 30], Operations: ['76-46=30']
Exploring Operation: 30/15=2, Resulting Numbers: [64, 2]
Generated Node #3: [64, 2] from Operation: 30/15=2
Current State: 62:[64, 2], Operations: ['76-46=30', '30/15=2']
Exploring Operation: 64-2=62, Resulting Numbers: [62]
62,62 equal: Goal Reached
| 4 |
[
88,
16,
58,
2
] | 89 | [
"88+58=146",
"146/2=73",
"16+73=89"
] | Current State: 89:[88, 16, 58, 2], Operations: []
Exploring Operation: 88+58=146, Resulting Numbers: [16, 2, 146]
Generated Node #2: [16, 2, 146] from Operation: 88+58=146
Current State: 89:[16, 2, 146], Operations: ['88+58=146']
Exploring Operation: 146/2=73, Resulting Numbers: [16, 73]
Generated Node #3: [16, 73] from Operation: 146/2=73
Current State: 89:[16, 73], Operations: ['88+58=146', '146/2=73']
Exploring Operation: 16+73=89, Resulting Numbers: [89]
89,89 equal: Goal Reached
| 4 |
[
3,
62,
68,
13
] | 13 | [
"13-3=10",
"62+68=130",
"130/10=13"
] | Current State: 13:[3, 62, 68, 13], Operations: []
Exploring Operation: 13-3=10, Resulting Numbers: [62, 68, 10]
Generated Node #2: [62, 68, 10] from Operation: 13-3=10
Current State: 13:[62, 68, 10], Operations: ['13-3=10']
Exploring Operation: 62+68=130, Resulting Numbers: [10, 130]
Generated Node #3: [10, 130] from Operation: 62+68=130
Current State: 13:[10, 130], Operations: ['13-3=10', '62+68=130']
Exploring Operation: 130/10=13, Resulting Numbers: [13]
13,13 equal: Goal Reached
| 4 |
[
58,
37,
9,
53
] | 86 | [
"53-37=16",
"9*16=144",
"144-58=86"
] | Current State: 86:[58, 37, 9, 53], Operations: []
Exploring Operation: 53-37=16, Resulting Numbers: [58, 9, 16]
Generated Node #2: [58, 9, 16] from Operation: 53-37=16
Current State: 86:[58, 9, 16], Operations: ['53-37=16']
Exploring Operation: 9*16=144, Resulting Numbers: [58, 144]
Generated Node #3: [58, 144] from Operation: 9*16=144
Current State: 86:[58, 144], Operations: ['53-37=16', '9*16=144']
Exploring Operation: 144-58=86, Resulting Numbers: [86]
86,86 equal: Goal Reached
| 4 |
[
60,
57,
30,
84
] | 15 | [
"60/30=2",
"84/2=42",
"57-42=15"
] | Current State: 15:[60, 57, 30, 84], Operations: []
Exploring Operation: 60/30=2, Resulting Numbers: [57, 84, 2]
Generated Node #2: [57, 84, 2] from Operation: 60/30=2
Current State: 15:[57, 84, 2], Operations: ['60/30=2']
Exploring Operation: 84/2=42, Resulting Numbers: [57, 42]
Generated Node #3: [57, 42] from Operation: 84/2=42
Current State: 15:[57, 42], Operations: ['60/30=2', '84/2=42']
Exploring Operation: 57-42=15, Resulting Numbers: [15]
15,15 equal: Goal Reached
| 4 |
[
23,
96,
35,
21
] | 26 | [
"23-21=2",
"35*2=70",
"96-70=26"
] | Current State: 26:[23, 96, 35, 21], Operations: []
Exploring Operation: 23-21=2, Resulting Numbers: [96, 35, 2]
Generated Node #2: [96, 35, 2] from Operation: 23-21=2
Current State: 26:[96, 35, 2], Operations: ['23-21=2']
Exploring Operation: 35*2=70, Resulting Numbers: [96, 70]
Generated Node #3: [96, 70] from Operation: 35*2=70
Current State: 26:[96, 70], Operations: ['23-21=2', '35*2=70']
Exploring Operation: 96-70=26, Resulting Numbers: [26]
26,26 equal: Goal Reached
| 4 |
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