nums listlengths 4 4 | target int64 10 100 | solution listlengths 3 3 | optimal_path stringlengths 282 529 | start_size int64 4 4 |
|---|---|---|---|---|
[
31,
4,
50,
72
] | 49 | [
"31-4=27",
"72-50=22",
"27+22=49"
] | Current State: 49:[31, 4, 50, 72], Operations: []
Exploring Operation: 31-4=27, Resulting Numbers: [50, 72, 27]
Generated Node #2: [50, 72, 27] from Operation: 31-4=27
Current State: 49:[50, 72, 27], Operations: ['31-4=27']
Exploring Operation: 72-50=22, Resulting Numbers: [27, 22]
Generated Node #3: [27, 22] from Operation: 72-50=22
Current State: 49:[27, 22], Operations: ['31-4=27', '72-50=22']
Exploring Operation: 27+22=49, Resulting Numbers: [49]
49,49 equal: Goal Reached
| 4 |
[
29,
78,
42,
37
] | 28 | [
"29+78=107",
"42+37=79",
"107-79=28"
] | Current State: 28:[29, 78, 42, 37], Operations: []
Exploring Operation: 29+78=107, Resulting Numbers: [42, 37, 107]
Generated Node #2: [42, 37, 107] from Operation: 29+78=107
Current State: 28:[42, 37, 107], Operations: ['29+78=107']
Exploring Operation: 42+37=79, Resulting Numbers: [107, 79]
Generated Node #3: [107, 79] from Operation: 42+37=79
Current State: 28:[107, 79], Operations: ['29+78=107', '42+37=79']
Exploring Operation: 107-79=28, Resulting Numbers: [28]
28,28 equal: Goal Reached
| 4 |
[
69,
97,
69,
87
] | 11 | [
"69/69=1",
"97-87=10",
"1+10=11"
] | Current State: 11:[69, 97, 69, 87], Operations: []
Exploring Operation: 69/69=1, Resulting Numbers: [97, 87, 1]
Generated Node #2: [97, 87, 1] from Operation: 69/69=1
Current State: 11:[97, 87, 1], Operations: ['69/69=1']
Exploring Operation: 97-87=10, Resulting Numbers: [1, 10]
Generated Node #3: [1, 10] from Operation: 97-87=10
Current State: 11:[1, 10], Operations: ['69/69=1', '97-87=10']
Exploring Operation: 1+10=11, Resulting Numbers: [11]
11,11 equal: Goal Reached
| 4 |
[
42,
59,
2,
57
] | 19 | [
"42/2=21",
"59-57=2",
"21-2=19"
] | Current State: 19:[42, 59, 2, 57], Operations: []
Exploring Operation: 42/2=21, Resulting Numbers: [59, 57, 21]
Generated Node #2: [59, 57, 21] from Operation: 42/2=21
Current State: 19:[59, 57, 21], Operations: ['42/2=21']
Exploring Operation: 59-57=2, Resulting Numbers: [21, 2]
Generated Node #3: [21, 2] from Operation: 59-57=2
Current State: 19:[21, 2], Operations: ['42/2=21', '59-57=2']
Exploring Operation: 21-2=19, Resulting Numbers: [19]
19,19 equal: Goal Reached
| 4 |
[
87,
5,
93,
6
] | 60 | [
"93-87=6",
"6+6=12",
"5*12=60"
] | Current State: 60:[87, 5, 93, 6], Operations: []
Exploring Operation: 93-87=6, Resulting Numbers: [5, 6, 6]
Generated Node #2: [5, 6, 6] from Operation: 93-87=6
Current State: 60:[5, 6, 6], Operations: ['93-87=6']
Exploring Operation: 6+6=12, Resulting Numbers: [5, 12]
Generated Node #3: [5, 12] from Operation: 6+6=12
Current State: 60:[5, 12], Operations: ['93-87=6', '6+6=12']
Exploring Operation: 5*12=60, Resulting Numbers: [60]
60,60 equal: Goal Reached
| 4 |
[
81,
88,
4,
32
] | 56 | [
"88-81=7",
"32/4=8",
"7*8=56"
] | Current State: 56:[81, 88, 4, 32], Operations: []
Exploring Operation: 88-81=7, Resulting Numbers: [4, 32, 7]
Generated Node #2: [4, 32, 7] from Operation: 88-81=7
Current State: 56:[4, 32, 7], Operations: ['88-81=7']
Exploring Operation: 32/4=8, Resulting Numbers: [7, 8]
Generated Node #3: [7, 8] from Operation: 32/4=8
Current State: 56:[7, 8], Operations: ['88-81=7', '32/4=8']
Exploring Operation: 7*8=56, Resulting Numbers: [56]
56,56 equal: Goal Reached
| 4 |
[
16,
19,
15,
26
] | 63 | [
"19-16=3",
"26*3=78",
"78-15=63"
] | Current State: 63:[16, 19, 15, 26], Operations: []
Exploring Operation: 19-16=3, Resulting Numbers: [15, 26, 3]
Generated Node #2: [15, 26, 3] from Operation: 19-16=3
Current State: 63:[15, 26, 3], Operations: ['19-16=3']
Exploring Operation: 26*3=78, Resulting Numbers: [15, 78]
Generated Node #3: [15, 78] from Operation: 26*3=78
Current State: 63:[15, 78], Operations: ['19-16=3', '26*3=78']
Exploring Operation: 78-15=63, Resulting Numbers: [63]
63,63 equal: Goal Reached
| 4 |
[
65,
18,
60,
40
] | 77 | [
"18*40=720",
"720/60=12",
"65+12=77"
] | Current State: 77:[65, 18, 60, 40], Operations: []
Exploring Operation: 18*40=720, Resulting Numbers: [65, 60, 720]
Generated Node #2: [65, 60, 720] from Operation: 18*40=720
Current State: 77:[65, 60, 720], Operations: ['18*40=720']
Exploring Operation: 720/60=12, Resulting Numbers: [65, 12]
Generated Node #3: [65, 12] from Operation: 720/60=12
Current State: 77:[65, 12], Operations: ['18*40=720', '720/60=12']
Exploring Operation: 65+12=77, Resulting Numbers: [77]
77,77 equal: Goal Reached
| 4 |
[
2,
99,
54,
19
] | 62 | [
"99-2=97",
"54-19=35",
"97-35=62"
] | Current State: 62:[2, 99, 54, 19], Operations: []
Exploring Operation: 99-2=97, Resulting Numbers: [54, 19, 97]
Generated Node #2: [54, 19, 97] from Operation: 99-2=97
Current State: 62:[54, 19, 97], Operations: ['99-2=97']
Exploring Operation: 54-19=35, Resulting Numbers: [97, 35]
Generated Node #3: [97, 35] from Operation: 54-19=35
Current State: 62:[97, 35], Operations: ['99-2=97', '54-19=35']
Exploring Operation: 97-35=62, Resulting Numbers: [62]
62,62 equal: Goal Reached
| 4 |
[
58,
84,
27,
55
] | 37 | [
"58-55=3",
"84+27=111",
"111/3=37"
] | Current State: 37:[58, 84, 27, 55], Operations: []
Exploring Operation: 58-55=3, Resulting Numbers: [84, 27, 3]
Generated Node #2: [84, 27, 3] from Operation: 58-55=3
Current State: 37:[84, 27, 3], Operations: ['58-55=3']
Exploring Operation: 84+27=111, Resulting Numbers: [3, 111]
Generated Node #3: [3, 111] from Operation: 84+27=111
Current State: 37:[3, 111], Operations: ['58-55=3', '84+27=111']
Exploring Operation: 111/3=37, Resulting Numbers: [37]
37,37 equal: Goal Reached
| 4 |
[
47,
37,
12,
23
] | 30 | [
"47+37=84",
"84/12=7",
"23+7=30"
] | Current State: 30:[47, 37, 12, 23], Operations: []
Exploring Operation: 47+37=84, Resulting Numbers: [12, 23, 84]
Generated Node #2: [12, 23, 84] from Operation: 47+37=84
Current State: 30:[12, 23, 84], Operations: ['47+37=84']
Exploring Operation: 84/12=7, Resulting Numbers: [23, 7]
Generated Node #3: [23, 7] from Operation: 84/12=7
Current State: 30:[23, 7], Operations: ['47+37=84', '84/12=7']
Exploring Operation: 23+7=30, Resulting Numbers: [30]
30,30 equal: Goal Reached
| 4 |
[
89,
71,
29,
1
] | 11 | [
"89-71=18",
"29*1=29",
"29-18=11"
] | Current State: 11:[89, 71, 29, 1], Operations: []
Exploring Operation: 89-71=18, Resulting Numbers: [29, 1, 18]
Generated Node #2: [29, 1, 18] from Operation: 89-71=18
Current State: 11:[29, 1, 18], Operations: ['89-71=18']
Exploring Operation: 29*1=29, Resulting Numbers: [18, 29]
Generated Node #3: [18, 29] from Operation: 29*1=29
Current State: 11:[18, 29], Operations: ['89-71=18', '29*1=29']
Exploring Operation: 29-18=11, Resulting Numbers: [11]
11,11 equal: Goal Reached
| 4 |
[
49,
35,
10,
60
] | 35 | [
"49+10=59",
"60-59=1",
"35*1=35"
] | Current State: 35:[49, 35, 10, 60], Operations: []
Exploring Operation: 49+10=59, Resulting Numbers: [35, 60, 59]
Generated Node #2: [35, 60, 59] from Operation: 49+10=59
Current State: 35:[35, 60, 59], Operations: ['49+10=59']
Exploring Operation: 60-59=1, Resulting Numbers: [35, 1]
Generated Node #3: [35, 1] from Operation: 60-59=1
Current State: 35:[35, 1], Operations: ['49+10=59', '60-59=1']
Exploring Operation: 35*1=35, Resulting Numbers: [35]
35,35 equal: Goal Reached
| 4 |
[
9,
22,
82,
27
] | 86 | [
"9+22=31",
"82-27=55",
"31+55=86"
] | Current State: 86:[9, 22, 82, 27], Operations: []
Exploring Operation: 9+22=31, Resulting Numbers: [82, 27, 31]
Generated Node #2: [82, 27, 31] from Operation: 9+22=31
Current State: 86:[82, 27, 31], Operations: ['9+22=31']
Exploring Operation: 82-27=55, Resulting Numbers: [31, 55]
Generated Node #3: [31, 55] from Operation: 82-27=55
Current State: 86:[31, 55], Operations: ['9+22=31', '82-27=55']
Exploring Operation: 31+55=86, Resulting Numbers: [86]
86,86 equal: Goal Reached
| 4 |
[
98,
55,
90,
99
] | 17 | [
"98+55=153",
"99-90=9",
"153/9=17"
] | Current State: 17:[98, 55, 90, 99], Operations: []
Exploring Operation: 98+55=153, Resulting Numbers: [90, 99, 153]
Generated Node #2: [90, 99, 153] from Operation: 98+55=153
Current State: 17:[90, 99, 153], Operations: ['98+55=153']
Exploring Operation: 99-90=9, Resulting Numbers: [153, 9]
Generated Node #3: [153, 9] from Operation: 99-90=9
Current State: 17:[153, 9], Operations: ['98+55=153', '99-90=9']
Exploring Operation: 153/9=17, Resulting Numbers: [17]
17,17 equal: Goal Reached
| 4 |
[
47,
4,
47,
52
] | 67 | [
"52-47=5",
"4*5=20",
"47+20=67"
] | Current State: 67:[47, 4, 47, 52], Operations: []
Exploring Operation: 52-47=5, Resulting Numbers: [4, 5]
Generated Node #2: [4, 5] from Operation: 52-47=5
Current State: 67:[4, 5], Operations: ['52-47=5']
Exploring Operation: 4*5=20, Resulting Numbers: [20]
20,67 equal: Goal Reached
Exploring Operation: 47+20=67, Resulting Numbers: [67]
67,67 equal: Goal Reached
| 4 |
[
36,
73,
61,
2
] | 42 | [
"73-61=12",
"12/2=6",
"36+6=42"
] | Current State: 42:[36, 73, 61, 2], Operations: []
Exploring Operation: 73-61=12, Resulting Numbers: [36, 2, 12]
Generated Node #2: [36, 2, 12] from Operation: 73-61=12
Current State: 42:[36, 2, 12], Operations: ['73-61=12']
Exploring Operation: 12/2=6, Resulting Numbers: [36, 6]
Generated Node #3: [36, 6] from Operation: 12/2=6
Current State: 42:[36, 6], Operations: ['73-61=12', '12/2=6']
Exploring Operation: 36+6=42, Resulting Numbers: [42]
42,42 equal: Goal Reached
| 4 |
[
49,
2,
2,
91
] | 46 | [
"49-2=47",
"2+91=93",
"93-47=46"
] | Current State: 46:[49, 2, 2, 91], Operations: []
Exploring Operation: 49-2=47, Resulting Numbers: [91, 47]
Generated Node #2: [91, 47] from Operation: 49-2=47
Current State: 46:[91, 47], Operations: ['49-2=47']
Exploring Operation: 2+91=93, Resulting Numbers: [47, 93]
Generated Node #3: [47, 93] from Operation: 2+91=93
Current State: 46:[47, 93], Operations: ['49-2=47', '2+91=93']
Exploring Operation: 93-47=46, Resulting Numbers: [46]
46,46 equal: Goal Reached
| 4 |
[
5,
85,
57,
48
] | 40 | [
"57-48=9",
"5*9=45",
"85-45=40"
] | Current State: 40:[5, 85, 57, 48], Operations: []
Exploring Operation: 57-48=9, Resulting Numbers: [5, 85, 9]
Generated Node #2: [5, 85, 9] from Operation: 57-48=9
Current State: 40:[5, 85, 9], Operations: ['57-48=9']
Exploring Operation: 5*9=45, Resulting Numbers: [85, 45]
Generated Node #3: [85, 45] from Operation: 5*9=45
Current State: 40:[85, 45], Operations: ['57-48=9', '5*9=45']
Exploring Operation: 85-45=40, Resulting Numbers: [40]
40,40 equal: Goal Reached
| 4 |
[
10,
20,
18,
6
] | 11 | [
"20-18=2",
"10/2=5",
"6+5=11"
] | Current State: 11:[10, 20, 18, 6], Operations: []
Exploring Operation: 20-18=2, Resulting Numbers: [10, 6, 2]
Generated Node #2: [10, 6, 2] from Operation: 20-18=2
Current State: 11:[10, 6, 2], Operations: ['20-18=2']
Exploring Operation: 10/2=5, Resulting Numbers: [6, 5]
Generated Node #3: [6, 5] from Operation: 10/2=5
Current State: 11:[6, 5], Operations: ['20-18=2', '10/2=5']
Exploring Operation: 6+5=11, Resulting Numbers: [11]
11,11 equal: Goal Reached
| 4 |
[
49,
99,
80,
91
] | 61 | [
"99-49=50",
"91-80=11",
"50+11=61"
] | Current State: 61:[49, 99, 80, 91], Operations: []
Exploring Operation: 99-49=50, Resulting Numbers: [80, 91, 50]
Generated Node #2: [80, 91, 50] from Operation: 99-49=50
Current State: 61:[80, 91, 50], Operations: ['99-49=50']
Exploring Operation: 91-80=11, Resulting Numbers: [50, 11]
Generated Node #3: [50, 11] from Operation: 91-80=11
Current State: 61:[50, 11], Operations: ['99-49=50', '91-80=11']
Exploring Operation: 50+11=61, Resulting Numbers: [61]
61,61 equal: Goal Reached
| 4 |
[
63,
3,
3,
91
] | 95 | [
"63*3=189",
"3+91=94",
"189-94=95"
] | Current State: 95:[63, 3, 3, 91], Operations: []
Exploring Operation: 63*3=189, Resulting Numbers: [91, 189]
Generated Node #2: [91, 189] from Operation: 63*3=189
Current State: 95:[91, 189], Operations: ['63*3=189']
Exploring Operation: 3+91=94, Resulting Numbers: [189, 94]
Generated Node #3: [189, 94] from Operation: 3+91=94
Current State: 95:[189, 94], Operations: ['63*3=189', '3+91=94']
Exploring Operation: 189-94=95, Resulting Numbers: [95]
95,95 equal: Goal Reached
| 4 |
[
39,
30,
3,
35
] | 65 | [
"39/3=13",
"35-30=5",
"13*5=65"
] | Current State: 65:[39, 30, 3, 35], Operations: []
Exploring Operation: 39/3=13, Resulting Numbers: [30, 35, 13]
Generated Node #2: [30, 35, 13] from Operation: 39/3=13
Current State: 65:[30, 35, 13], Operations: ['39/3=13']
Exploring Operation: 35-30=5, Resulting Numbers: [13, 5]
Generated Node #3: [13, 5] from Operation: 35-30=5
Current State: 65:[13, 5], Operations: ['39/3=13', '35-30=5']
Exploring Operation: 13*5=65, Resulting Numbers: [65]
65,65 equal: Goal Reached
| 4 |
[
58,
16,
48,
55
] | 49 | [
"58-16=42",
"55-48=7",
"42+7=49"
] | Current State: 49:[58, 16, 48, 55], Operations: []
Exploring Operation: 58-16=42, Resulting Numbers: [48, 55, 42]
Generated Node #2: [48, 55, 42] from Operation: 58-16=42
Current State: 49:[48, 55, 42], Operations: ['58-16=42']
Exploring Operation: 55-48=7, Resulting Numbers: [42, 7]
Generated Node #3: [42, 7] from Operation: 55-48=7
Current State: 49:[42, 7], Operations: ['58-16=42', '55-48=7']
Exploring Operation: 42+7=49, Resulting Numbers: [49]
49,49 equal: Goal Reached
| 4 |
[
32,
48,
15,
12
] | 48 | [
"48-32=16",
"15-12=3",
"16*3=48"
] | Current State: 48:[32, 48, 15, 12], Operations: []
Exploring Operation: 48-32=16, Resulting Numbers: [15, 12, 16]
Generated Node #2: [15, 12, 16] from Operation: 48-32=16
Current State: 48:[15, 12, 16], Operations: ['48-32=16']
Exploring Operation: 15-12=3, Resulting Numbers: [16, 3]
Generated Node #3: [16, 3] from Operation: 15-12=3
Current State: 48:[16, 3], Operations: ['48-32=16', '15-12=3']
Exploring Operation: 16*3=48, Resulting Numbers: [48]
48,48 equal: Goal Reached
| 4 |
[
87,
43,
2,
27
] | 40 | [
"2+27=29",
"87/29=3",
"43-3=40"
] | Current State: 40:[87, 43, 2, 27], Operations: []
Exploring Operation: 2+27=29, Resulting Numbers: [87, 43, 29]
Generated Node #2: [87, 43, 29] from Operation: 2+27=29
Current State: 40:[87, 43, 29], Operations: ['2+27=29']
Exploring Operation: 87/29=3, Resulting Numbers: [43, 3]
Generated Node #3: [43, 3] from Operation: 87/29=3
Current State: 40:[43, 3], Operations: ['2+27=29', '87/29=3']
Exploring Operation: 43-3=40, Resulting Numbers: [40]
40,40 equal: Goal Reached
| 4 |
[
32,
26,
78,
18
] | 81 | [
"32-26=6",
"18/6=3",
"78+3=81"
] | Current State: 81:[32, 26, 78, 18], Operations: []
Exploring Operation: 32-26=6, Resulting Numbers: [78, 18, 6]
Generated Node #2: [78, 18, 6] from Operation: 32-26=6
Current State: 81:[78, 18, 6], Operations: ['32-26=6']
Exploring Operation: 18/6=3, Resulting Numbers: [78, 3]
Generated Node #3: [78, 3] from Operation: 18/6=3
Current State: 81:[78, 3], Operations: ['32-26=6', '18/6=3']
Exploring Operation: 78+3=81, Resulting Numbers: [81]
81,81 equal: Goal Reached
| 4 |
[
81,
45,
54,
33
] | 29 | [
"45*33=1485",
"81+1485=1566",
"1566/54=29"
] | Current State: 29:[81, 45, 54, 33], Operations: []
Exploring Operation: 45*33=1485, Resulting Numbers: [81, 54, 1485]
Generated Node #2: [81, 54, 1485] from Operation: 45*33=1485
Current State: 29:[81, 54, 1485], Operations: ['45*33=1485']
Exploring Operation: 81+1485=1566, Resulting Numbers: [54, 1566]
Generated Node #3: [54, 1566] from Operation: 81+1485=1566
Current State: 29:[54, 1566], Operations: ['45*33=1485', '81+1485=1566']
Exploring Operation: 1566/54=29, Resulting Numbers: [29]
29,29 equal: Goal Reached
| 4 |
[
18,
74,
65,
84
] | 73 | [
"18+74=92",
"84-65=19",
"92-19=73"
] | Current State: 73:[18, 74, 65, 84], Operations: []
Exploring Operation: 18+74=92, Resulting Numbers: [65, 84, 92]
Generated Node #2: [65, 84, 92] from Operation: 18+74=92
Current State: 73:[65, 84, 92], Operations: ['18+74=92']
Exploring Operation: 84-65=19, Resulting Numbers: [92, 19]
Generated Node #3: [92, 19] from Operation: 84-65=19
Current State: 73:[92, 19], Operations: ['18+74=92', '84-65=19']
Exploring Operation: 92-19=73, Resulting Numbers: [73]
73,73 equal: Goal Reached
| 4 |
[
89,
86,
54,
7
] | 81 | [
"89-54=35",
"35/7=5",
"86-5=81"
] | Current State: 81:[89, 86, 54, 7], Operations: []
Exploring Operation: 89-54=35, Resulting Numbers: [86, 7, 35]
Generated Node #2: [86, 7, 35] from Operation: 89-54=35
Current State: 81:[86, 7, 35], Operations: ['89-54=35']
Exploring Operation: 35/7=5, Resulting Numbers: [86, 5]
Generated Node #3: [86, 5] from Operation: 35/7=5
Current State: 81:[86, 5], Operations: ['89-54=35', '35/7=5']
Exploring Operation: 86-5=81, Resulting Numbers: [81]
81,81 equal: Goal Reached
| 4 |
[
63,
41,
11,
50
] | 100 | [
"63-41=22",
"22/11=2",
"50*2=100"
] | Current State: 100:[63, 41, 11, 50], Operations: []
Exploring Operation: 63-41=22, Resulting Numbers: [11, 50, 22]
Generated Node #2: [11, 50, 22] from Operation: 63-41=22
Current State: 100:[11, 50, 22], Operations: ['63-41=22']
Exploring Operation: 22/11=2, Resulting Numbers: [50, 2]
Generated Node #3: [50, 2] from Operation: 22/11=2
Current State: 100:[50, 2], Operations: ['63-41=22', '22/11=2']
Exploring Operation: 50*2=100, Resulting Numbers: [100]
100,100 equal: Goal Reached
| 4 |
[
2,
51,
15,
17
] | 21 | [
"2+51=53",
"15+17=32",
"53-32=21"
] | Current State: 21:[2, 51, 15, 17], Operations: []
Exploring Operation: 2+51=53, Resulting Numbers: [15, 17, 53]
Generated Node #2: [15, 17, 53] from Operation: 2+51=53
Current State: 21:[15, 17, 53], Operations: ['2+51=53']
Exploring Operation: 15+17=32, Resulting Numbers: [53, 32]
Generated Node #3: [53, 32] from Operation: 15+17=32
Current State: 21:[53, 32], Operations: ['2+51=53', '15+17=32']
Exploring Operation: 53-32=21, Resulting Numbers: [21]
21,21 equal: Goal Reached
| 4 |
[
93,
74,
28,
46
] | 93 | [
"93+74=167",
"28+46=74",
"167-74=93"
] | Current State: 93:[93, 74, 28, 46], Operations: []
Exploring Operation: 93+74=167, Resulting Numbers: [28, 46, 167]
Generated Node #2: [28, 46, 167] from Operation: 93+74=167
Current State: 93:[28, 46, 167], Operations: ['93+74=167']
Exploring Operation: 28+46=74, Resulting Numbers: [167, 74]
Generated Node #3: [167, 74] from Operation: 28+46=74
Current State: 93:[167, 74], Operations: ['93+74=167', '28+46=74']
Exploring Operation: 167-74=93, Resulting Numbers: [93]
93,93 equal: Goal Reached
| 4 |
[
40,
1,
4,
68
] | 59 | [
"40/4=10",
"1+68=69",
"69-10=59"
] | Current State: 59:[40, 1, 4, 68], Operations: []
Exploring Operation: 40/4=10, Resulting Numbers: [1, 68, 10]
Generated Node #2: [1, 68, 10] from Operation: 40/4=10
Current State: 59:[1, 68, 10], Operations: ['40/4=10']
Exploring Operation: 1+68=69, Resulting Numbers: [10, 69]
Generated Node #3: [10, 69] from Operation: 1+68=69
Current State: 59:[10, 69], Operations: ['40/4=10', '1+68=69']
Exploring Operation: 69-10=59, Resulting Numbers: [59]
59,59 equal: Goal Reached
| 4 |
[
87,
93,
15,
73
] | 62 | [
"73-15=58",
"93*58=5394",
"5394/87=62"
] | Current State: 62:[87, 93, 15, 73], Operations: []
Exploring Operation: 73-15=58, Resulting Numbers: [87, 93, 58]
Generated Node #2: [87, 93, 58] from Operation: 73-15=58
Current State: 62:[87, 93, 58], Operations: ['73-15=58']
Exploring Operation: 93*58=5394, Resulting Numbers: [87, 5394]
Generated Node #3: [87, 5394] from Operation: 93*58=5394
Current State: 62:[87, 5394], Operations: ['73-15=58', '93*58=5394']
Exploring Operation: 5394/87=62, Resulting Numbers: [62]
62,62 equal: Goal Reached
| 4 |
[
2,
18,
91,
37
] | 70 | [
"18-2=16",
"91-37=54",
"16+54=70"
] | Current State: 70:[2, 18, 91, 37], Operations: []
Exploring Operation: 18-2=16, Resulting Numbers: [91, 37, 16]
Generated Node #2: [91, 37, 16] from Operation: 18-2=16
Current State: 70:[91, 37, 16], Operations: ['18-2=16']
Exploring Operation: 91-37=54, Resulting Numbers: [16, 54]
Generated Node #3: [16, 54] from Operation: 91-37=54
Current State: 70:[16, 54], Operations: ['18-2=16', '91-37=54']
Exploring Operation: 16+54=70, Resulting Numbers: [70]
70,70 equal: Goal Reached
| 4 |
[
26,
86,
16,
76
] | 32 | [
"86-26=60",
"16+76=92",
"92-60=32"
] | Current State: 32:[26, 86, 16, 76], Operations: []
Exploring Operation: 86-26=60, Resulting Numbers: [16, 76, 60]
Generated Node #2: [16, 76, 60] from Operation: 86-26=60
Current State: 32:[16, 76, 60], Operations: ['86-26=60']
Exploring Operation: 16+76=92, Resulting Numbers: [60, 92]
Generated Node #3: [60, 92] from Operation: 16+76=92
Current State: 32:[60, 92], Operations: ['86-26=60', '16+76=92']
Exploring Operation: 92-60=32, Resulting Numbers: [32]
32,32 equal: Goal Reached
| 4 |
[
76,
59,
10,
30
] | 57 | [
"76-59=17",
"10+30=40",
"17+40=57"
] | Current State: 57:[76, 59, 10, 30], Operations: []
Exploring Operation: 76-59=17, Resulting Numbers: [10, 30, 17]
Generated Node #2: [10, 30, 17] from Operation: 76-59=17
Current State: 57:[10, 30, 17], Operations: ['76-59=17']
Exploring Operation: 10+30=40, Resulting Numbers: [17, 40]
Generated Node #3: [17, 40] from Operation: 10+30=40
Current State: 57:[17, 40], Operations: ['76-59=17', '10+30=40']
Exploring Operation: 17+40=57, Resulting Numbers: [57]
57,57 equal: Goal Reached
| 4 |
[
44,
24,
46,
44
] | 70 | [
"44+24=68",
"46-44=2",
"68+2=70"
] | Current State: 70:[44, 24, 46, 44], Operations: []
Exploring Operation: 44+24=68, Resulting Numbers: [46, 68]
Generated Node #2: [46, 68] from Operation: 44+24=68
Current State: 70:[46, 68], Operations: ['44+24=68']
Exploring Operation: 46-44=2, Resulting Numbers: [68, 2]
Generated Node #3: [68, 2] from Operation: 46-44=2
Current State: 70:[68, 2], Operations: ['44+24=68', '46-44=2']
Exploring Operation: 68+2=70, Resulting Numbers: [70]
70,70 equal: Goal Reached
| 4 |
[
68,
31,
21,
51
] | 39 | [
"31+21=52",
"51*52=2652",
"2652/68=39"
] | Current State: 39:[68, 31, 21, 51], Operations: []
Exploring Operation: 31+21=52, Resulting Numbers: [68, 51, 52]
Generated Node #2: [68, 51, 52] from Operation: 31+21=52
Current State: 39:[68, 51, 52], Operations: ['31+21=52']
Exploring Operation: 51*52=2652, Resulting Numbers: [68, 2652]
Generated Node #3: [68, 2652] from Operation: 51*52=2652
Current State: 39:[68, 2652], Operations: ['31+21=52', '51*52=2652']
Exploring Operation: 2652/68=39, Resulting Numbers: [39]
39,39 equal: Goal Reached
| 4 |
[
24,
25,
62,
3
] | 64 | [
"25-24=1",
"62+3=65",
"65-1=64"
] | Current State: 64:[24, 25, 62, 3], Operations: []
Exploring Operation: 25-24=1, Resulting Numbers: [62, 3, 1]
Generated Node #2: [62, 3, 1] from Operation: 25-24=1
Current State: 64:[62, 3, 1], Operations: ['25-24=1']
Exploring Operation: 62+3=65, Resulting Numbers: [1, 65]
Generated Node #3: [1, 65] from Operation: 62+3=65
Current State: 64:[1, 65], Operations: ['25-24=1', '62+3=65']
Exploring Operation: 65-1=64, Resulting Numbers: [64]
64,64 equal: Goal Reached
| 4 |
[
39,
37,
3,
22
] | 88 | [
"39-22=17",
"3*17=51",
"37+51=88"
] | Current State: 88:[39, 37, 3, 22], Operations: []
Exploring Operation: 39-22=17, Resulting Numbers: [37, 3, 17]
Generated Node #2: [37, 3, 17] from Operation: 39-22=17
Current State: 88:[37, 3, 17], Operations: ['39-22=17']
Exploring Operation: 3*17=51, Resulting Numbers: [37, 51]
Generated Node #3: [37, 51] from Operation: 3*17=51
Current State: 88:[37, 51], Operations: ['39-22=17', '3*17=51']
Exploring Operation: 37+51=88, Resulting Numbers: [88]
88,88 equal: Goal Reached
| 4 |
[
59,
30,
31,
37
] | 74 | [
"59-30=29",
"31-29=2",
"37*2=74"
] | Current State: 74:[59, 30, 31, 37], Operations: []
Exploring Operation: 59-30=29, Resulting Numbers: [31, 37, 29]
Generated Node #2: [31, 37, 29] from Operation: 59-30=29
Current State: 74:[31, 37, 29], Operations: ['59-30=29']
Exploring Operation: 31-29=2, Resulting Numbers: [37, 2]
Generated Node #3: [37, 2] from Operation: 31-29=2
Current State: 74:[37, 2], Operations: ['59-30=29', '31-29=2']
Exploring Operation: 37*2=74, Resulting Numbers: [74]
74,74 equal: Goal Reached
| 4 |
[
97,
45,
68,
31
] | 89 | [
"97-45=52",
"68-31=37",
"52+37=89"
] | Current State: 89:[97, 45, 68, 31], Operations: []
Exploring Operation: 97-45=52, Resulting Numbers: [68, 31, 52]
Generated Node #2: [68, 31, 52] from Operation: 97-45=52
Current State: 89:[68, 31, 52], Operations: ['97-45=52']
Exploring Operation: 68-31=37, Resulting Numbers: [52, 37]
Generated Node #3: [52, 37] from Operation: 68-31=37
Current State: 89:[52, 37], Operations: ['97-45=52', '68-31=37']
Exploring Operation: 52+37=89, Resulting Numbers: [89]
89,89 equal: Goal Reached
| 4 |
[
83,
26,
73,
6
] | 42 | [
"83+26=109",
"73-6=67",
"109-67=42"
] | Current State: 42:[83, 26, 73, 6], Operations: []
Exploring Operation: 83+26=109, Resulting Numbers: [73, 6, 109]
Generated Node #2: [73, 6, 109] from Operation: 83+26=109
Current State: 42:[73, 6, 109], Operations: ['83+26=109']
Exploring Operation: 73-6=67, Resulting Numbers: [109, 67]
Generated Node #3: [109, 67] from Operation: 73-6=67
Current State: 42:[109, 67], Operations: ['83+26=109', '73-6=67']
Exploring Operation: 109-67=42, Resulting Numbers: [42]
42,42 equal: Goal Reached
| 4 |
[
81,
84,
3,
57
] | 54 | [
"81/3=27",
"84-57=27",
"27+27=54"
] | Current State: 54:[81, 84, 3, 57], Operations: []
Exploring Operation: 81/3=27, Resulting Numbers: [84, 57, 27]
Generated Node #2: [84, 57, 27] from Operation: 81/3=27
Current State: 54:[84, 57, 27], Operations: ['81/3=27']
Exploring Operation: 84-57=27, Resulting Numbers: [27, 27]
Generated Node #3: [27, 27] from Operation: 84-57=27
Current State: 54:[27, 27], Operations: ['81/3=27', '84-57=27']
Exploring Operation: 27+27=54, Resulting Numbers: [54]
54,54 equal: Goal Reached
| 4 |
[
10,
86,
62,
71
] | 37 | [
"10+86=96",
"62+71=133",
"133-96=37"
] | Current State: 37:[10, 86, 62, 71], Operations: []
Exploring Operation: 10+86=96, Resulting Numbers: [62, 71, 96]
Generated Node #2: [62, 71, 96] from Operation: 10+86=96
Current State: 37:[62, 71, 96], Operations: ['10+86=96']
Exploring Operation: 62+71=133, Resulting Numbers: [96, 133]
Generated Node #3: [96, 133] from Operation: 62+71=133
Current State: 37:[96, 133], Operations: ['10+86=96', '62+71=133']
Exploring Operation: 133-96=37, Resulting Numbers: [37]
37,37 equal: Goal Reached
| 4 |
[
57,
42,
63,
73
] | 89 | [
"57+42=99",
"73-63=10",
"99-10=89"
] | Current State: 89:[57, 42, 63, 73], Operations: []
Exploring Operation: 57+42=99, Resulting Numbers: [63, 73, 99]
Generated Node #2: [63, 73, 99] from Operation: 57+42=99
Current State: 89:[63, 73, 99], Operations: ['57+42=99']
Exploring Operation: 73-63=10, Resulting Numbers: [99, 10]
Generated Node #3: [99, 10] from Operation: 73-63=10
Current State: 89:[99, 10], Operations: ['57+42=99', '73-63=10']
Exploring Operation: 99-10=89, Resulting Numbers: [89]
89,89 equal: Goal Reached
| 4 |
[
40,
71,
80,
83
] | 24 | [
"80/40=2",
"83-71=12",
"2*12=24"
] | Current State: 24:[40, 71, 80, 83], Operations: []
Exploring Operation: 80/40=2, Resulting Numbers: [71, 83, 2]
Generated Node #2: [71, 83, 2] from Operation: 80/40=2
Current State: 24:[71, 83, 2], Operations: ['80/40=2']
Exploring Operation: 83-71=12, Resulting Numbers: [2, 12]
Generated Node #3: [2, 12] from Operation: 83-71=12
Current State: 24:[2, 12], Operations: ['80/40=2', '83-71=12']
Exploring Operation: 2*12=24, Resulting Numbers: [24]
24,24 equal: Goal Reached
| 4 |
[
16,
54,
16,
20
] | 42 | [
"54-16=38",
"20-16=4",
"38+4=42"
] | Current State: 42:[16, 54, 16, 20], Operations: []
Exploring Operation: 54-16=38, Resulting Numbers: [20, 38]
Generated Node #2: [20, 38] from Operation: 54-16=38
Current State: 42:[20, 38], Operations: ['54-16=38']
Exploring Operation: 20-16=4, Resulting Numbers: [38, 4]
Generated Node #3: [38, 4] from Operation: 20-16=4
Current State: 42:[38, 4], Operations: ['54-16=38', '20-16=4']
Exploring Operation: 38+4=42, Resulting Numbers: [42]
42,42 equal: Goal Reached
| 4 |
[
57,
35,
44,
31
] | 29 | [
"57-35=22",
"44/22=2",
"31-2=29"
] | Current State: 29:[57, 35, 44, 31], Operations: []
Exploring Operation: 57-35=22, Resulting Numbers: [44, 31, 22]
Generated Node #2: [44, 31, 22] from Operation: 57-35=22
Current State: 29:[44, 31, 22], Operations: ['57-35=22']
Exploring Operation: 44/22=2, Resulting Numbers: [31, 2]
Generated Node #3: [31, 2] from Operation: 44/22=2
Current State: 29:[31, 2], Operations: ['57-35=22', '44/22=2']
Exploring Operation: 31-2=29, Resulting Numbers: [29]
29,29 equal: Goal Reached
| 4 |
[
48,
27,
30,
87
] | 35 | [
"48+87=135",
"135/27=5",
"30+5=35"
] | Current State: 35:[48, 27, 30, 87], Operations: []
Exploring Operation: 48+87=135, Resulting Numbers: [27, 30, 135]
Generated Node #2: [27, 30, 135] from Operation: 48+87=135
Current State: 35:[27, 30, 135], Operations: ['48+87=135']
Exploring Operation: 135/27=5, Resulting Numbers: [30, 5]
Generated Node #3: [30, 5] from Operation: 135/27=5
Current State: 35:[30, 5], Operations: ['48+87=135', '135/27=5']
Exploring Operation: 30+5=35, Resulting Numbers: [35]
35,35 equal: Goal Reached
| 4 |
[
25,
19,
8,
2
] | 26 | [
"25+19=44",
"8+44=52",
"52/2=26"
] | Current State: 26:[25, 19, 8, 2], Operations: []
Exploring Operation: 25+19=44, Resulting Numbers: [8, 2, 44]
Generated Node #2: [8, 2, 44] from Operation: 25+19=44
Current State: 26:[8, 2, 44], Operations: ['25+19=44']
Exploring Operation: 8+44=52, Resulting Numbers: [2, 52]
Generated Node #3: [2, 52] from Operation: 8+44=52
Current State: 26:[2, 52], Operations: ['25+19=44', '8+44=52']
Exploring Operation: 52/2=26, Resulting Numbers: [26]
26,26 equal: Goal Reached
| 4 |
[
93,
90,
55,
43
] | 85 | [
"93+90=183",
"55+43=98",
"183-98=85"
] | Current State: 85:[93, 90, 55, 43], Operations: []
Exploring Operation: 93+90=183, Resulting Numbers: [55, 43, 183]
Generated Node #2: [55, 43, 183] from Operation: 93+90=183
Current State: 85:[55, 43, 183], Operations: ['93+90=183']
Exploring Operation: 55+43=98, Resulting Numbers: [183, 98]
Generated Node #3: [183, 98] from Operation: 55+43=98
Current State: 85:[183, 98], Operations: ['93+90=183', '55+43=98']
Exploring Operation: 183-98=85, Resulting Numbers: [85]
85,85 equal: Goal Reached
| 4 |
[
22,
51,
31,
49
] | 40 | [
"51-49=2",
"31*2=62",
"62-22=40"
] | Current State: 40:[22, 51, 31, 49], Operations: []
Exploring Operation: 51-49=2, Resulting Numbers: [22, 31, 2]
Generated Node #2: [22, 31, 2] from Operation: 51-49=2
Current State: 40:[22, 31, 2], Operations: ['51-49=2']
Exploring Operation: 31*2=62, Resulting Numbers: [22, 62]
Generated Node #3: [22, 62] from Operation: 31*2=62
Current State: 40:[22, 62], Operations: ['51-49=2', '31*2=62']
Exploring Operation: 62-22=40, Resulting Numbers: [40]
40,40 equal: Goal Reached
| 4 |
[
53,
48,
58,
78
] | 25 | [
"53-48=5",
"78-58=20",
"5+20=25"
] | Current State: 25:[53, 48, 58, 78], Operations: []
Exploring Operation: 53-48=5, Resulting Numbers: [58, 78, 5]
Generated Node #2: [58, 78, 5] from Operation: 53-48=5
Current State: 25:[58, 78, 5], Operations: ['53-48=5']
Exploring Operation: 78-58=20, Resulting Numbers: [5, 20]
Generated Node #3: [5, 20] from Operation: 78-58=20
Current State: 25:[5, 20], Operations: ['53-48=5', '78-58=20']
Exploring Operation: 5+20=25, Resulting Numbers: [25]
25,25 equal: Goal Reached
| 4 |
[
18,
2,
74,
77
] | 31 | [
"18+74=92",
"92/2=46",
"77-46=31"
] | Current State: 31:[18, 2, 74, 77], Operations: []
Exploring Operation: 18+74=92, Resulting Numbers: [2, 77, 92]
Generated Node #2: [2, 77, 92] from Operation: 18+74=92
Current State: 31:[2, 77, 92], Operations: ['18+74=92']
Exploring Operation: 92/2=46, Resulting Numbers: [77, 46]
Generated Node #3: [77, 46] from Operation: 92/2=46
Current State: 31:[77, 46], Operations: ['18+74=92', '92/2=46']
Exploring Operation: 77-46=31, Resulting Numbers: [31]
31,31 equal: Goal Reached
| 4 |
[
21,
16,
92,
74
] | 48 | [
"92-21=71",
"74-71=3",
"16*3=48"
] | Current State: 48:[21, 16, 92, 74], Operations: []
Exploring Operation: 92-21=71, Resulting Numbers: [16, 74, 71]
Generated Node #2: [16, 74, 71] from Operation: 92-21=71
Current State: 48:[16, 74, 71], Operations: ['92-21=71']
Exploring Operation: 74-71=3, Resulting Numbers: [16, 3]
Generated Node #3: [16, 3] from Operation: 74-71=3
Current State: 48:[16, 3], Operations: ['92-21=71', '74-71=3']
Exploring Operation: 16*3=48, Resulting Numbers: [48]
48,48 equal: Goal Reached
| 4 |
[
41,
90,
9,
3
] | 55 | [
"90-41=49",
"9-3=6",
"49+6=55"
] | Current State: 55:[41, 90, 9, 3], Operations: []
Exploring Operation: 90-41=49, Resulting Numbers: [9, 3, 49]
Generated Node #2: [9, 3, 49] from Operation: 90-41=49
Current State: 55:[9, 3, 49], Operations: ['90-41=49']
Exploring Operation: 9-3=6, Resulting Numbers: [49, 6]
Generated Node #3: [49, 6] from Operation: 9-3=6
Current State: 55:[49, 6], Operations: ['90-41=49', '9-3=6']
Exploring Operation: 49+6=55, Resulting Numbers: [55]
55,55 equal: Goal Reached
| 4 |
[
48,
90,
16,
7
] | 100 | [
"48/16=3",
"90+7=97",
"3+97=100"
] | Current State: 100:[48, 90, 16, 7], Operations: []
Exploring Operation: 48/16=3, Resulting Numbers: [90, 7, 3]
Generated Node #2: [90, 7, 3] from Operation: 48/16=3
Current State: 100:[90, 7, 3], Operations: ['48/16=3']
Exploring Operation: 90+7=97, Resulting Numbers: [3, 97]
Generated Node #3: [3, 97] from Operation: 90+7=97
Current State: 100:[3, 97], Operations: ['48/16=3', '90+7=97']
Exploring Operation: 3+97=100, Resulting Numbers: [100]
100,100 equal: Goal Reached
| 4 |
[
94,
38,
31,
12
] | 99 | [
"94-38=56",
"31+12=43",
"56+43=99"
] | Current State: 99:[94, 38, 31, 12], Operations: []
Exploring Operation: 94-38=56, Resulting Numbers: [31, 12, 56]
Generated Node #2: [31, 12, 56] from Operation: 94-38=56
Current State: 99:[31, 12, 56], Operations: ['94-38=56']
Exploring Operation: 31+12=43, Resulting Numbers: [56, 43]
Generated Node #3: [56, 43] from Operation: 31+12=43
Current State: 99:[56, 43], Operations: ['94-38=56', '31+12=43']
Exploring Operation: 56+43=99, Resulting Numbers: [99]
99,99 equal: Goal Reached
| 4 |
[
92,
14,
7,
73
] | 38 | [
"92-73=19",
"14/7=2",
"19*2=38"
] | Current State: 38:[92, 14, 7, 73], Operations: []
Exploring Operation: 92-73=19, Resulting Numbers: [14, 7, 19]
Generated Node #2: [14, 7, 19] from Operation: 92-73=19
Current State: 38:[14, 7, 19], Operations: ['92-73=19']
Exploring Operation: 14/7=2, Resulting Numbers: [19, 2]
Generated Node #3: [19, 2] from Operation: 14/7=2
Current State: 38:[19, 2], Operations: ['92-73=19', '14/7=2']
Exploring Operation: 19*2=38, Resulting Numbers: [38]
38,38 equal: Goal Reached
| 4 |
[
5,
45,
48,
35
] | 37 | [
"5+45=50",
"48-35=13",
"50-13=37"
] | Current State: 37:[5, 45, 48, 35], Operations: []
Exploring Operation: 5+45=50, Resulting Numbers: [48, 35, 50]
Generated Node #2: [48, 35, 50] from Operation: 5+45=50
Current State: 37:[48, 35, 50], Operations: ['5+45=50']
Exploring Operation: 48-35=13, Resulting Numbers: [50, 13]
Generated Node #3: [50, 13] from Operation: 48-35=13
Current State: 37:[50, 13], Operations: ['5+45=50', '48-35=13']
Exploring Operation: 50-13=37, Resulting Numbers: [37]
37,37 equal: Goal Reached
| 4 |
[
41,
45,
4,
12
] | 91 | [
"45-12=33",
"4*33=132",
"132-41=91"
] | Current State: 91:[41, 45, 4, 12], Operations: []
Exploring Operation: 45-12=33, Resulting Numbers: [41, 4, 33]
Generated Node #2: [41, 4, 33] from Operation: 45-12=33
Current State: 91:[41, 4, 33], Operations: ['45-12=33']
Exploring Operation: 4*33=132, Resulting Numbers: [41, 132]
Generated Node #3: [41, 132] from Operation: 4*33=132
Current State: 91:[41, 132], Operations: ['45-12=33', '4*33=132']
Exploring Operation: 132-41=91, Resulting Numbers: [91]
91,91 equal: Goal Reached
| 4 |
[
73,
62,
32,
86
] | 26 | [
"62*32=1984",
"1984-86=1898",
"1898/73=26"
] | Current State: 26:[73, 62, 32, 86], Operations: []
Exploring Operation: 62*32=1984, Resulting Numbers: [73, 86, 1984]
Generated Node #2: [73, 86, 1984] from Operation: 62*32=1984
Current State: 26:[73, 86, 1984], Operations: ['62*32=1984']
Exploring Operation: 1984-86=1898, Resulting Numbers: [73, 1898]
Generated Node #3: [73, 1898] from Operation: 1984-86=1898
Current State: 26:[73, 1898], Operations: ['62*32=1984', '1984-86=1898']
Exploring Operation: 1898/73=26, Resulting Numbers: [26]
26,26 equal: Goal Reached
| 4 |
[
45,
16,
49,
58
] | 11 | [
"58-49=9",
"45/9=5",
"16-5=11"
] | Current State: 11:[45, 16, 49, 58], Operations: []
Exploring Operation: 58-49=9, Resulting Numbers: [45, 16, 9]
Generated Node #2: [45, 16, 9] from Operation: 58-49=9
Current State: 11:[45, 16, 9], Operations: ['58-49=9']
Exploring Operation: 45/9=5, Resulting Numbers: [16, 5]
Generated Node #3: [16, 5] from Operation: 45/9=5
Current State: 11:[16, 5], Operations: ['58-49=9', '45/9=5']
Exploring Operation: 16-5=11, Resulting Numbers: [11]
11,11 equal: Goal Reached
| 4 |
[
6,
62,
66,
18
] | 76 | [
"66+18=84",
"84/6=14",
"62+14=76"
] | Current State: 76:[6, 62, 66, 18], Operations: []
Exploring Operation: 66+18=84, Resulting Numbers: [6, 62, 84]
Generated Node #2: [6, 62, 84] from Operation: 66+18=84
Current State: 76:[6, 62, 84], Operations: ['66+18=84']
Exploring Operation: 84/6=14, Resulting Numbers: [62, 14]
Generated Node #3: [62, 14] from Operation: 84/6=14
Current State: 76:[62, 14], Operations: ['66+18=84', '84/6=14']
Exploring Operation: 62+14=76, Resulting Numbers: [76]
76,76 equal: Goal Reached
| 4 |
[
48,
41,
94,
45
] | 56 | [
"48-41=7",
"94-45=49",
"7+49=56"
] | Current State: 56:[48, 41, 94, 45], Operations: []
Exploring Operation: 48-41=7, Resulting Numbers: [94, 45, 7]
Generated Node #2: [94, 45, 7] from Operation: 48-41=7
Current State: 56:[94, 45, 7], Operations: ['48-41=7']
Exploring Operation: 94-45=49, Resulting Numbers: [7, 49]
Generated Node #3: [7, 49] from Operation: 94-45=49
Current State: 56:[7, 49], Operations: ['48-41=7', '94-45=49']
Exploring Operation: 7+49=56, Resulting Numbers: [56]
56,56 equal: Goal Reached
| 4 |
[
29,
64,
90,
16
] | 66 | [
"29+16=45",
"90/45=2",
"64+2=66"
] | Current State: 66:[29, 64, 90, 16], Operations: []
Exploring Operation: 29+16=45, Resulting Numbers: [64, 90, 45]
Generated Node #2: [64, 90, 45] from Operation: 29+16=45
Current State: 66:[64, 90, 45], Operations: ['29+16=45']
Exploring Operation: 90/45=2, Resulting Numbers: [64, 2]
Generated Node #3: [64, 2] from Operation: 90/45=2
Current State: 66:[64, 2], Operations: ['29+16=45', '90/45=2']
Exploring Operation: 64+2=66, Resulting Numbers: [66]
66,66 equal: Goal Reached
| 4 |
[
99,
21,
68,
5
] | 50 | [
"99-21=78",
"78-68=10",
"5*10=50"
] | Current State: 50:[99, 21, 68, 5], Operations: []
Exploring Operation: 99-21=78, Resulting Numbers: [68, 5, 78]
Generated Node #2: [68, 5, 78] from Operation: 99-21=78
Current State: 50:[68, 5, 78], Operations: ['99-21=78']
Exploring Operation: 78-68=10, Resulting Numbers: [5, 10]
Generated Node #3: [5, 10] from Operation: 78-68=10
Current State: 50:[5, 10], Operations: ['99-21=78', '78-68=10']
Exploring Operation: 5*10=50, Resulting Numbers: [50]
50,50 equal: Goal Reached
| 4 |
[
67,
32,
24,
72
] | 48 | [
"67*24=1608",
"1608-72=1536",
"1536/32=48"
] | Current State: 48:[67, 32, 24, 72], Operations: []
Exploring Operation: 67*24=1608, Resulting Numbers: [32, 72, 1608]
Generated Node #2: [32, 72, 1608] from Operation: 67*24=1608
Current State: 48:[32, 72, 1608], Operations: ['67*24=1608']
Exploring Operation: 1608-72=1536, Resulting Numbers: [32, 1536]
Generated Node #3: [32, 1536] from Operation: 1608-72=1536
Current State: 48:[32, 1536], Operations: ['67*24=1608', '1608-72=1536']
Exploring Operation: 1536/32=48, Resulting Numbers: [48]
48,48 equal: Goal Reached
| 4 |
[
78,
53,
15,
28
] | 59 | [
"28-15=13",
"78/13=6",
"53+6=59"
] | Current State: 59:[78, 53, 15, 28], Operations: []
Exploring Operation: 28-15=13, Resulting Numbers: [78, 53, 13]
Generated Node #2: [78, 53, 13] from Operation: 28-15=13
Current State: 59:[78, 53, 13], Operations: ['28-15=13']
Exploring Operation: 78/13=6, Resulting Numbers: [53, 6]
Generated Node #3: [53, 6] from Operation: 78/13=6
Current State: 59:[53, 6], Operations: ['28-15=13', '78/13=6']
Exploring Operation: 53+6=59, Resulting Numbers: [59]
59,59 equal: Goal Reached
| 4 |
[
90,
24,
15,
5
] | 35 | [
"90/15=6",
"24+5=29",
"6+29=35"
] | Current State: 35:[90, 24, 15, 5], Operations: []
Exploring Operation: 90/15=6, Resulting Numbers: [24, 5, 6]
Generated Node #2: [24, 5, 6] from Operation: 90/15=6
Current State: 35:[24, 5, 6], Operations: ['90/15=6']
Exploring Operation: 24+5=29, Resulting Numbers: [6, 29]
Generated Node #3: [6, 29] from Operation: 24+5=29
Current State: 35:[6, 29], Operations: ['90/15=6', '24+5=29']
Exploring Operation: 6+29=35, Resulting Numbers: [35]
35,35 equal: Goal Reached
| 4 |
[
87,
70,
1,
48
] | 65 | [
"87-70=17",
"1*48=48",
"17+48=65"
] | Current State: 65:[87, 70, 1, 48], Operations: []
Exploring Operation: 87-70=17, Resulting Numbers: [1, 48, 17]
Generated Node #2: [1, 48, 17] from Operation: 87-70=17
Current State: 65:[1, 48, 17], Operations: ['87-70=17']
Exploring Operation: 1*48=48, Resulting Numbers: [17, 48]
Generated Node #3: [17, 48] from Operation: 1*48=48
Current State: 65:[17, 48], Operations: ['87-70=17', '1*48=48']
Exploring Operation: 17+48=65, Resulting Numbers: [65]
65,65 equal: Goal Reached
| 4 |
[
1,
47,
47,
20
] | 75 | [
"1+47=48",
"47-20=27",
"48+27=75"
] | Current State: 75:[1, 47, 47, 20], Operations: []
Exploring Operation: 1+47=48, Resulting Numbers: [20, 48]
Generated Node #2: [20, 48] from Operation: 1+47=48
Current State: 75:[20, 48], Operations: ['1+47=48']
Exploring Operation: 47-20=27, Resulting Numbers: [48, 27]
Generated Node #3: [48, 27] from Operation: 47-20=27
Current State: 75:[48, 27], Operations: ['1+47=48', '47-20=27']
Exploring Operation: 48+27=75, Resulting Numbers: [75]
75,75 equal: Goal Reached
| 4 |
[
47,
7,
12,
26
] | 15 | [
"47-26=21",
"21/7=3",
"12+3=15"
] | Current State: 15:[47, 7, 12, 26], Operations: []
Exploring Operation: 47-26=21, Resulting Numbers: [7, 12, 21]
Generated Node #2: [7, 12, 21] from Operation: 47-26=21
Current State: 15:[7, 12, 21], Operations: ['47-26=21']
Exploring Operation: 21/7=3, Resulting Numbers: [12, 3]
Generated Node #3: [12, 3] from Operation: 21/7=3
Current State: 15:[12, 3], Operations: ['47-26=21', '21/7=3']
Exploring Operation: 12+3=15, Resulting Numbers: [15]
15,15 equal: Goal Reached
| 4 |
[
57,
78,
80,
16
] | 65 | [
"80-78=2",
"16/2=8",
"57+8=65"
] | Current State: 65:[57, 78, 80, 16], Operations: []
Exploring Operation: 80-78=2, Resulting Numbers: [57, 16, 2]
Generated Node #2: [57, 16, 2] from Operation: 80-78=2
Current State: 65:[57, 16, 2], Operations: ['80-78=2']
Exploring Operation: 16/2=8, Resulting Numbers: [57, 8]
Generated Node #3: [57, 8] from Operation: 16/2=8
Current State: 65:[57, 8], Operations: ['80-78=2', '16/2=8']
Exploring Operation: 57+8=65, Resulting Numbers: [65]
65,65 equal: Goal Reached
| 4 |
[
55,
72,
53,
51
] | 15 | [
"72-55=17",
"53-51=2",
"17-2=15"
] | Current State: 15:[55, 72, 53, 51], Operations: []
Exploring Operation: 72-55=17, Resulting Numbers: [53, 51, 17]
Generated Node #2: [53, 51, 17] from Operation: 72-55=17
Current State: 15:[53, 51, 17], Operations: ['72-55=17']
Exploring Operation: 53-51=2, Resulting Numbers: [17, 2]
Generated Node #3: [17, 2] from Operation: 53-51=2
Current State: 15:[17, 2], Operations: ['72-55=17', '53-51=2']
Exploring Operation: 17-2=15, Resulting Numbers: [15]
15,15 equal: Goal Reached
| 4 |
[
14,
50,
96,
62
] | 98 | [
"14+50=64",
"96-62=34",
"64+34=98"
] | Current State: 98:[14, 50, 96, 62], Operations: []
Exploring Operation: 14+50=64, Resulting Numbers: [96, 62, 64]
Generated Node #2: [96, 62, 64] from Operation: 14+50=64
Current State: 98:[96, 62, 64], Operations: ['14+50=64']
Exploring Operation: 96-62=34, Resulting Numbers: [64, 34]
Generated Node #3: [64, 34] from Operation: 96-62=34
Current State: 98:[64, 34], Operations: ['14+50=64', '96-62=34']
Exploring Operation: 64+34=98, Resulting Numbers: [98]
98,98 equal: Goal Reached
| 4 |
[
54,
45,
38,
13
] | 74 | [
"54+45=99",
"38-13=25",
"99-25=74"
] | Current State: 74:[54, 45, 38, 13], Operations: []
Exploring Operation: 54+45=99, Resulting Numbers: [38, 13, 99]
Generated Node #2: [38, 13, 99] from Operation: 54+45=99
Current State: 74:[38, 13, 99], Operations: ['54+45=99']
Exploring Operation: 38-13=25, Resulting Numbers: [99, 25]
Generated Node #3: [99, 25] from Operation: 38-13=25
Current State: 74:[99, 25], Operations: ['54+45=99', '38-13=25']
Exploring Operation: 99-25=74, Resulting Numbers: [74]
74,74 equal: Goal Reached
| 4 |
[
75,
90,
3,
38
] | 27 | [
"75/3=25",
"90-38=52",
"52-25=27"
] | Current State: 27:[75, 90, 3, 38], Operations: []
Exploring Operation: 75/3=25, Resulting Numbers: [90, 38, 25]
Generated Node #2: [90, 38, 25] from Operation: 75/3=25
Current State: 27:[90, 38, 25], Operations: ['75/3=25']
Exploring Operation: 90-38=52, Resulting Numbers: [25, 52]
Generated Node #3: [25, 52] from Operation: 90-38=52
Current State: 27:[25, 52], Operations: ['75/3=25', '90-38=52']
Exploring Operation: 52-25=27, Resulting Numbers: [27]
27,27 equal: Goal Reached
| 4 |
[
55,
77,
23,
73
] | 70 | [
"73-23=50",
"77*50=3850",
"3850/55=70"
] | Current State: 70:[55, 77, 23, 73], Operations: []
Exploring Operation: 73-23=50, Resulting Numbers: [55, 77, 50]
Generated Node #2: [55, 77, 50] from Operation: 73-23=50
Current State: 70:[55, 77, 50], Operations: ['73-23=50']
Exploring Operation: 77*50=3850, Resulting Numbers: [55, 3850]
Generated Node #3: [55, 3850] from Operation: 77*50=3850
Current State: 70:[55, 3850], Operations: ['73-23=50', '77*50=3850']
Exploring Operation: 3850/55=70, Resulting Numbers: [70]
70,70 equal: Goal Reached
| 4 |
[
67,
24,
16,
12
] | 95 | [
"67+24=91",
"16-12=4",
"91+4=95"
] | Current State: 95:[67, 24, 16, 12], Operations: []
Exploring Operation: 67+24=91, Resulting Numbers: [16, 12, 91]
Generated Node #2: [16, 12, 91] from Operation: 67+24=91
Current State: 95:[16, 12, 91], Operations: ['67+24=91']
Exploring Operation: 16-12=4, Resulting Numbers: [91, 4]
Generated Node #3: [91, 4] from Operation: 16-12=4
Current State: 95:[91, 4], Operations: ['67+24=91', '16-12=4']
Exploring Operation: 91+4=95, Resulting Numbers: [95]
95,95 equal: Goal Reached
| 4 |
[
82,
62,
21,
67
] | 67 | [
"82-62=20",
"21-20=1",
"67*1=67"
] | Current State: 67:[82, 62, 21, 67], Operations: []
Exploring Operation: 82-62=20, Resulting Numbers: [21, 67, 20]
Generated Node #2: [21, 67, 20] from Operation: 82-62=20
Current State: 67:[21, 67, 20], Operations: ['82-62=20']
Exploring Operation: 21-20=1, Resulting Numbers: [67, 1]
Generated Node #3: [67, 1] from Operation: 21-20=1
Current State: 67:[67, 1], Operations: ['82-62=20', '21-20=1']
Exploring Operation: 67*1=67, Resulting Numbers: [67]
67,67 equal: Goal Reached
| 4 |
[
97,
65,
33,
67
] | 69 | [
"97+33=130",
"130/65=2",
"67+2=69"
] | Current State: 69:[97, 65, 33, 67], Operations: []
Exploring Operation: 97+33=130, Resulting Numbers: [65, 67, 130]
Generated Node #2: [65, 67, 130] from Operation: 97+33=130
Current State: 69:[65, 67, 130], Operations: ['97+33=130']
Exploring Operation: 130/65=2, Resulting Numbers: [67, 2]
Generated Node #3: [67, 2] from Operation: 130/65=2
Current State: 69:[67, 2], Operations: ['97+33=130', '130/65=2']
Exploring Operation: 67+2=69, Resulting Numbers: [69]
69,69 equal: Goal Reached
| 4 |
[
50,
54,
69,
39
] | 26 | [
"54-50=4",
"69-39=30",
"30-4=26"
] | Current State: 26:[50, 54, 69, 39], Operations: []
Exploring Operation: 54-50=4, Resulting Numbers: [69, 39, 4]
Generated Node #2: [69, 39, 4] from Operation: 54-50=4
Current State: 26:[69, 39, 4], Operations: ['54-50=4']
Exploring Operation: 69-39=30, Resulting Numbers: [4, 30]
Generated Node #3: [4, 30] from Operation: 69-39=30
Current State: 26:[4, 30], Operations: ['54-50=4', '69-39=30']
Exploring Operation: 30-4=26, Resulting Numbers: [26]
26,26 equal: Goal Reached
| 4 |
[
81,
98,
36,
75
] | 94 | [
"98-81=17",
"36+75=111",
"111-17=94"
] | Current State: 94:[81, 98, 36, 75], Operations: []
Exploring Operation: 98-81=17, Resulting Numbers: [36, 75, 17]
Generated Node #2: [36, 75, 17] from Operation: 98-81=17
Current State: 94:[36, 75, 17], Operations: ['98-81=17']
Exploring Operation: 36+75=111, Resulting Numbers: [17, 111]
Generated Node #3: [17, 111] from Operation: 36+75=111
Current State: 94:[17, 111], Operations: ['98-81=17', '36+75=111']
Exploring Operation: 111-17=94, Resulting Numbers: [94]
94,94 equal: Goal Reached
| 4 |
[
40,
96,
54,
94
] | 67 | [
"96-94=2",
"54/2=27",
"40+27=67"
] | Current State: 67:[40, 96, 54, 94], Operations: []
Exploring Operation: 96-94=2, Resulting Numbers: [40, 54, 2]
Generated Node #2: [40, 54, 2] from Operation: 96-94=2
Current State: 67:[40, 54, 2], Operations: ['96-94=2']
Exploring Operation: 54/2=27, Resulting Numbers: [40, 27]
Generated Node #3: [40, 27] from Operation: 54/2=27
Current State: 67:[40, 27], Operations: ['96-94=2', '54/2=27']
Exploring Operation: 40+27=67, Resulting Numbers: [67]
67,67 equal: Goal Reached
| 4 |
[
93,
43,
74,
85
] | 88 | [
"74-43=31",
"93/31=3",
"85+3=88"
] | Current State: 88:[93, 43, 74, 85], Operations: []
Exploring Operation: 74-43=31, Resulting Numbers: [93, 85, 31]
Generated Node #2: [93, 85, 31] from Operation: 74-43=31
Current State: 88:[93, 85, 31], Operations: ['74-43=31']
Exploring Operation: 93/31=3, Resulting Numbers: [85, 3]
Generated Node #3: [85, 3] from Operation: 93/31=3
Current State: 88:[85, 3], Operations: ['74-43=31', '93/31=3']
Exploring Operation: 85+3=88, Resulting Numbers: [88]
88,88 equal: Goal Reached
| 4 |
[
1,
52,
90,
79
] | 64 | [
"1+52=53",
"90-79=11",
"53+11=64"
] | Current State: 64:[1, 52, 90, 79], Operations: []
Exploring Operation: 1+52=53, Resulting Numbers: [90, 79, 53]
Generated Node #2: [90, 79, 53] from Operation: 1+52=53
Current State: 64:[90, 79, 53], Operations: ['1+52=53']
Exploring Operation: 90-79=11, Resulting Numbers: [53, 11]
Generated Node #3: [53, 11] from Operation: 90-79=11
Current State: 64:[53, 11], Operations: ['1+52=53', '90-79=11']
Exploring Operation: 53+11=64, Resulting Numbers: [64]
64,64 equal: Goal Reached
| 4 |
[
30,
53,
92,
13
] | 82 | [
"53-30=23",
"92+13=105",
"105-23=82"
] | Current State: 82:[30, 53, 92, 13], Operations: []
Exploring Operation: 53-30=23, Resulting Numbers: [92, 13, 23]
Generated Node #2: [92, 13, 23] from Operation: 53-30=23
Current State: 82:[92, 13, 23], Operations: ['53-30=23']
Exploring Operation: 92+13=105, Resulting Numbers: [23, 105]
Generated Node #3: [23, 105] from Operation: 92+13=105
Current State: 82:[23, 105], Operations: ['53-30=23', '92+13=105']
Exploring Operation: 105-23=82, Resulting Numbers: [82]
82,82 equal: Goal Reached
| 4 |
[
7,
13,
19,
59
] | 97 | [
"19-7=12",
"13*12=156",
"156-59=97"
] | Current State: 97:[7, 13, 19, 59], Operations: []
Exploring Operation: 19-7=12, Resulting Numbers: [13, 59, 12]
Generated Node #2: [13, 59, 12] from Operation: 19-7=12
Current State: 97:[13, 59, 12], Operations: ['19-7=12']
Exploring Operation: 13*12=156, Resulting Numbers: [59, 156]
Generated Node #3: [59, 156] from Operation: 13*12=156
Current State: 97:[59, 156], Operations: ['19-7=12', '13*12=156']
Exploring Operation: 156-59=97, Resulting Numbers: [97]
97,97 equal: Goal Reached
| 4 |
[
41,
12,
70,
29
] | 13 | [
"70-41=29",
"29/29=1",
"12+1=13"
] | Current State: 13:[41, 12, 70, 29], Operations: []
Exploring Operation: 70-41=29, Resulting Numbers: [12, 29, 29]
Generated Node #2: [12, 29, 29] from Operation: 70-41=29
Current State: 13:[12, 29, 29], Operations: ['70-41=29']
Exploring Operation: 29/29=1, Resulting Numbers: [12, 1]
Generated Node #3: [12, 1] from Operation: 29/29=1
Current State: 13:[12, 1], Operations: ['70-41=29', '29/29=1']
Exploring Operation: 12+1=13, Resulting Numbers: [13]
13,13 equal: Goal Reached
| 4 |
[
50,
53,
51,
36
] | 53 | [
"53-50=3",
"51/3=17",
"36+17=53"
] | Current State: 53:[50, 53, 51, 36], Operations: []
Exploring Operation: 53-50=3, Resulting Numbers: [51, 36, 3]
Generated Node #2: [51, 36, 3] from Operation: 53-50=3
Current State: 53:[51, 36, 3], Operations: ['53-50=3']
Exploring Operation: 51/3=17, Resulting Numbers: [36, 17]
Generated Node #3: [36, 17] from Operation: 51/3=17
Current State: 53:[36, 17], Operations: ['53-50=3', '51/3=17']
Exploring Operation: 36+17=53, Resulting Numbers: [53]
53,53 equal: Goal Reached
| 4 |
[
57,
59,
32,
44
] | 28 | [
"59-57=2",
"32/2=16",
"44-16=28"
] | Current State: 28:[57, 59, 32, 44], Operations: []
Exploring Operation: 59-57=2, Resulting Numbers: [32, 44, 2]
Generated Node #2: [32, 44, 2] from Operation: 59-57=2
Current State: 28:[32, 44, 2], Operations: ['59-57=2']
Exploring Operation: 32/2=16, Resulting Numbers: [44, 16]
Generated Node #3: [44, 16] from Operation: 32/2=16
Current State: 28:[44, 16], Operations: ['59-57=2', '32/2=16']
Exploring Operation: 44-16=28, Resulting Numbers: [28]
28,28 equal: Goal Reached
| 4 |
[
97,
84,
50,
55
] | 25 | [
"97-55=42",
"84/42=2",
"50/2=25"
] | Current State: 25:[97, 84, 50, 55], Operations: []
Exploring Operation: 97-55=42, Resulting Numbers: [84, 50, 42]
Generated Node #2: [84, 50, 42] from Operation: 97-55=42
Current State: 25:[84, 50, 42], Operations: ['97-55=42']
Exploring Operation: 84/42=2, Resulting Numbers: [50, 2]
Generated Node #3: [50, 2] from Operation: 84/42=2
Current State: 25:[50, 2], Operations: ['97-55=42', '84/42=2']
Exploring Operation: 50/2=25, Resulting Numbers: [25]
25,25 equal: Goal Reached
| 4 |
[
1,
82,
89,
69
] | 62 | [
"1*82=82",
"89-69=20",
"82-20=62"
] | Current State: 62:[1, 82, 89, 69], Operations: []
Exploring Operation: 1*82=82, Resulting Numbers: [89, 69, 82]
Generated Node #2: [89, 69, 82] from Operation: 1*82=82
Current State: 62:[89, 69, 82], Operations: ['1*82=82']
Exploring Operation: 89-69=20, Resulting Numbers: [82, 20]
Generated Node #3: [82, 20] from Operation: 89-69=20
Current State: 62:[82, 20], Operations: ['1*82=82', '89-69=20']
Exploring Operation: 82-20=62, Resulting Numbers: [62]
62,62 equal: Goal Reached
| 4 |
[
5,
92,
95,
98
] | 29 | [
"92-5=87",
"98-95=3",
"87/3=29"
] | Current State: 29:[5, 92, 95, 98], Operations: []
Exploring Operation: 92-5=87, Resulting Numbers: [95, 98, 87]
Generated Node #2: [95, 98, 87] from Operation: 92-5=87
Current State: 29:[95, 98, 87], Operations: ['92-5=87']
Exploring Operation: 98-95=3, Resulting Numbers: [87, 3]
Generated Node #3: [87, 3] from Operation: 98-95=3
Current State: 29:[87, 3], Operations: ['92-5=87', '98-95=3']
Exploring Operation: 87/3=29, Resulting Numbers: [29]
29,29 equal: Goal Reached
| 4 |
[
41,
76,
70,
5
] | 42 | [
"41+76=117",
"70+5=75",
"117-75=42"
] | Current State: 42:[41, 76, 70, 5], Operations: []
Exploring Operation: 41+76=117, Resulting Numbers: [70, 5, 117]
Generated Node #2: [70, 5, 117] from Operation: 41+76=117
Current State: 42:[70, 5, 117], Operations: ['41+76=117']
Exploring Operation: 70+5=75, Resulting Numbers: [117, 75]
Generated Node #3: [117, 75] from Operation: 70+5=75
Current State: 42:[117, 75], Operations: ['41+76=117', '70+5=75']
Exploring Operation: 117-75=42, Resulting Numbers: [42]
42,42 equal: Goal Reached
| 4 |
[
99,
79,
91,
10
] | 97 | [
"99+79=178",
"91-10=81",
"178-81=97"
] | Current State: 97:[99, 79, 91, 10], Operations: []
Exploring Operation: 99+79=178, Resulting Numbers: [91, 10, 178]
Generated Node #2: [91, 10, 178] from Operation: 99+79=178
Current State: 97:[91, 10, 178], Operations: ['99+79=178']
Exploring Operation: 91-10=81, Resulting Numbers: [178, 81]
Generated Node #3: [178, 81] from Operation: 91-10=81
Current State: 97:[178, 81], Operations: ['99+79=178', '91-10=81']
Exploring Operation: 178-81=97, Resulting Numbers: [97]
97,97 equal: Goal Reached
| 4 |
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