nums listlengths 4 4 | target int64 10 100 | solution listlengths 3 3 | optimal_path stringlengths 282 529 | start_size int64 4 4 |
|---|---|---|---|---|
[
54,
90,
93,
3
] | 43 | [
"90-54=36",
"93+36=129",
"129/3=43"
] | Current State: 43:[54, 90, 93, 3], Operations: []
Exploring Operation: 90-54=36, Resulting Numbers: [93, 3, 36]
Generated Node #2: [93, 3, 36] from Operation: 90-54=36
Current State: 43:[93, 3, 36], Operations: ['90-54=36']
Exploring Operation: 93+36=129, Resulting Numbers: [3, 129]
Generated Node #3: [3, 129] from Operation: 93+36=129
Current State: 43:[3, 129], Operations: ['90-54=36', '93+36=129']
Exploring Operation: 129/3=43, Resulting Numbers: [43]
43,43 equal: Goal Reached
| 4 |
[
26,
68,
55,
17
] | 77 | [
"26+55=81",
"68/17=4",
"81-4=77"
] | Current State: 77:[26, 68, 55, 17], Operations: []
Exploring Operation: 26+55=81, Resulting Numbers: [68, 17, 81]
Generated Node #2: [68, 17, 81] from Operation: 26+55=81
Current State: 77:[68, 17, 81], Operations: ['26+55=81']
Exploring Operation: 68/17=4, Resulting Numbers: [81, 4]
Generated Node #3: [81, 4] from Operation: 68/17=4
Current State: 77:[81, 4], Operations: ['26+55=81', '68/17=4']
Exploring Operation: 81-4=77, Resulting Numbers: [77]
77,77 equal: Goal Reached
| 4 |
[
26,
31,
72,
85
] | 100 | [
"26+31=57",
"72+85=157",
"157-57=100"
] | Current State: 100:[26, 31, 72, 85], Operations: []
Exploring Operation: 26+31=57, Resulting Numbers: [72, 85, 57]
Generated Node #2: [72, 85, 57] from Operation: 26+31=57
Current State: 100:[72, 85, 57], Operations: ['26+31=57']
Exploring Operation: 72+85=157, Resulting Numbers: [57, 157]
Generated Node #3: [57, 157] from Operation: 72+85=157
Current State: 100:[57, 157], Operations: ['26+31=57', '72+85=157']
Exploring Operation: 157-57=100, Resulting Numbers: [100]
100,100 equal: Goal Reached
| 4 |
[
43,
68,
4,
66
] | 94 | [
"43+4=47",
"68-66=2",
"47*2=94"
] | Current State: 94:[43, 68, 4, 66], Operations: []
Exploring Operation: 43+4=47, Resulting Numbers: [68, 66, 47]
Generated Node #2: [68, 66, 47] from Operation: 43+4=47
Current State: 94:[68, 66, 47], Operations: ['43+4=47']
Exploring Operation: 68-66=2, Resulting Numbers: [47, 2]
Generated Node #3: [47, 2] from Operation: 68-66=2
Current State: 94:[47, 2], Operations: ['43+4=47', '68-66=2']
Exploring Operation: 47*2=94, Resulting Numbers: [94]
94,94 equal: Goal Reached
| 4 |
[
45,
98,
46,
58
] | 34 | [
"45*46=2070",
"2070-98=1972",
"1972/58=34"
] | Current State: 34:[45, 98, 46, 58], Operations: []
Exploring Operation: 45*46=2070, Resulting Numbers: [98, 58, 2070]
Generated Node #2: [98, 58, 2070] from Operation: 45*46=2070
Current State: 34:[98, 58, 2070], Operations: ['45*46=2070']
Exploring Operation: 2070-98=1972, Resulting Numbers: [58, 1972]
Generated Node #3: [58, 1972] from Operation: 2070-98=1972
Current State: 34:[58, 1972], Operations: ['45*46=2070', '2070-98=1972']
Exploring Operation: 1972/58=34, Resulting Numbers: [34]
34,34 equal: Goal Reached
| 4 |
[
77,
49,
99,
91
] | 54 | [
"91-49=42",
"99*42=4158",
"4158/77=54"
] | Current State: 54:[77, 49, 99, 91], Operations: []
Exploring Operation: 91-49=42, Resulting Numbers: [77, 99, 42]
Generated Node #2: [77, 99, 42] from Operation: 91-49=42
Current State: 54:[77, 99, 42], Operations: ['91-49=42']
Exploring Operation: 99*42=4158, Resulting Numbers: [77, 4158]
Generated Node #3: [77, 4158] from Operation: 99*42=4158
Current State: 54:[77, 4158], Operations: ['91-49=42', '99*42=4158']
Exploring Operation: 4158/77=54, Resulting Numbers: [54]
54,54 equal: Goal Reached
| 4 |
[
48,
23,
7,
52
] | 26 | [
"48+23=71",
"52-7=45",
"71-45=26"
] | Current State: 26:[48, 23, 7, 52], Operations: []
Exploring Operation: 48+23=71, Resulting Numbers: [7, 52, 71]
Generated Node #2: [7, 52, 71] from Operation: 48+23=71
Current State: 26:[7, 52, 71], Operations: ['48+23=71']
Exploring Operation: 52-7=45, Resulting Numbers: [71, 45]
Generated Node #3: [71, 45] from Operation: 52-7=45
Current State: 26:[71, 45], Operations: ['48+23=71', '52-7=45']
Exploring Operation: 71-45=26, Resulting Numbers: [26]
26,26 equal: Goal Reached
| 4 |
[
50,
73,
38,
30
] | 10 | [
"73-38=35",
"35-30=5",
"50/5=10"
] | Current State: 10:[50, 73, 38, 30], Operations: []
Exploring Operation: 73-38=35, Resulting Numbers: [50, 30, 35]
Generated Node #2: [50, 30, 35] from Operation: 73-38=35
Current State: 10:[50, 30, 35], Operations: ['73-38=35']
Exploring Operation: 35-30=5, Resulting Numbers: [50, 5]
Generated Node #3: [50, 5] from Operation: 35-30=5
Current State: 10:[50, 5], Operations: ['73-38=35', '35-30=5']
Exploring Operation: 50/5=10, Resulting Numbers: [10]
10,10 equal: Goal Reached
| 4 |
[
84,
48,
82,
4
] | 49 | [
"84+48=132",
"132/4=33",
"82-33=49"
] | Current State: 49:[84, 48, 82, 4], Operations: []
Exploring Operation: 84+48=132, Resulting Numbers: [82, 4, 132]
Generated Node #2: [82, 4, 132] from Operation: 84+48=132
Current State: 49:[82, 4, 132], Operations: ['84+48=132']
Exploring Operation: 132/4=33, Resulting Numbers: [82, 33]
Generated Node #3: [82, 33] from Operation: 132/4=33
Current State: 49:[82, 33], Operations: ['84+48=132', '132/4=33']
Exploring Operation: 82-33=49, Resulting Numbers: [49]
49,49 equal: Goal Reached
| 4 |
[
1,
89,
76,
52
] | 66 | [
"1+89=90",
"76-52=24",
"90-24=66"
] | Current State: 66:[1, 89, 76, 52], Operations: []
Exploring Operation: 1+89=90, Resulting Numbers: [76, 52, 90]
Generated Node #2: [76, 52, 90] from Operation: 1+89=90
Current State: 66:[76, 52, 90], Operations: ['1+89=90']
Exploring Operation: 76-52=24, Resulting Numbers: [90, 24]
Generated Node #3: [90, 24] from Operation: 76-52=24
Current State: 66:[90, 24], Operations: ['1+89=90', '76-52=24']
Exploring Operation: 90-24=66, Resulting Numbers: [66]
66,66 equal: Goal Reached
| 4 |
[
64,
4,
72,
62
] | 26 | [
"64/4=16",
"72-62=10",
"16+10=26"
] | Current State: 26:[64, 4, 72, 62], Operations: []
Exploring Operation: 64/4=16, Resulting Numbers: [72, 62, 16]
Generated Node #2: [72, 62, 16] from Operation: 64/4=16
Current State: 26:[72, 62, 16], Operations: ['64/4=16']
Exploring Operation: 72-62=10, Resulting Numbers: [16, 10]
Generated Node #3: [16, 10] from Operation: 72-62=10
Current State: 26:[16, 10], Operations: ['64/4=16', '72-62=10']
Exploring Operation: 16+10=26, Resulting Numbers: [26]
26,26 equal: Goal Reached
| 4 |
[
36,
22,
24,
33
] | 51 | [
"24-22=2",
"36/2=18",
"33+18=51"
] | Current State: 51:[36, 22, 24, 33], Operations: []
Exploring Operation: 24-22=2, Resulting Numbers: [36, 33, 2]
Generated Node #2: [36, 33, 2] from Operation: 24-22=2
Current State: 51:[36, 33, 2], Operations: ['24-22=2']
Exploring Operation: 36/2=18, Resulting Numbers: [33, 18]
Generated Node #3: [33, 18] from Operation: 36/2=18
Current State: 51:[33, 18], Operations: ['24-22=2', '36/2=18']
Exploring Operation: 33+18=51, Resulting Numbers: [51]
51,51 equal: Goal Reached
| 4 |
[
18,
37,
10,
93
] | 97 | [
"37-18=19",
"10*19=190",
"190-93=97"
] | Current State: 97:[18, 37, 10, 93], Operations: []
Exploring Operation: 37-18=19, Resulting Numbers: [10, 93, 19]
Generated Node #2: [10, 93, 19] from Operation: 37-18=19
Current State: 97:[10, 93, 19], Operations: ['37-18=19']
Exploring Operation: 10*19=190, Resulting Numbers: [93, 190]
Generated Node #3: [93, 190] from Operation: 10*19=190
Current State: 97:[93, 190], Operations: ['37-18=19', '10*19=190']
Exploring Operation: 190-93=97, Resulting Numbers: [97]
97,97 equal: Goal Reached
| 4 |
[
94,
18,
61,
52
] | 85 | [
"94-18=76",
"61-52=9",
"76+9=85"
] | Current State: 85:[94, 18, 61, 52], Operations: []
Exploring Operation: 94-18=76, Resulting Numbers: [61, 52, 76]
Generated Node #2: [61, 52, 76] from Operation: 94-18=76
Current State: 85:[61, 52, 76], Operations: ['94-18=76']
Exploring Operation: 61-52=9, Resulting Numbers: [76, 9]
Generated Node #3: [76, 9] from Operation: 61-52=9
Current State: 85:[76, 9], Operations: ['94-18=76', '61-52=9']
Exploring Operation: 76+9=85, Resulting Numbers: [85]
85,85 equal: Goal Reached
| 4 |
[
92,
35,
80,
55
] | 32 | [
"92-35=57",
"80-55=25",
"57-25=32"
] | Current State: 32:[92, 35, 80, 55], Operations: []
Exploring Operation: 92-35=57, Resulting Numbers: [80, 55, 57]
Generated Node #2: [80, 55, 57] from Operation: 92-35=57
Current State: 32:[80, 55, 57], Operations: ['92-35=57']
Exploring Operation: 80-55=25, Resulting Numbers: [57, 25]
Generated Node #3: [57, 25] from Operation: 80-55=25
Current State: 32:[57, 25], Operations: ['92-35=57', '80-55=25']
Exploring Operation: 57-25=32, Resulting Numbers: [32]
32,32 equal: Goal Reached
| 4 |
[
63,
27,
9,
20
] | 81 | [
"63*9=567",
"27-20=7",
"567/7=81"
] | Current State: 81:[63, 27, 9, 20], Operations: []
Exploring Operation: 63*9=567, Resulting Numbers: [27, 20, 567]
Generated Node #2: [27, 20, 567] from Operation: 63*9=567
Current State: 81:[27, 20, 567], Operations: ['63*9=567']
Exploring Operation: 27-20=7, Resulting Numbers: [567, 7]
Generated Node #3: [567, 7] from Operation: 27-20=7
Current State: 81:[567, 7], Operations: ['63*9=567', '27-20=7']
Exploring Operation: 567/7=81, Resulting Numbers: [81]
81,81 equal: Goal Reached
| 4 |
[
59,
48,
32,
4
] | 99 | [
"59+48=107",
"32/4=8",
"107-8=99"
] | Current State: 99:[59, 48, 32, 4], Operations: []
Exploring Operation: 59+48=107, Resulting Numbers: [32, 4, 107]
Generated Node #2: [32, 4, 107] from Operation: 59+48=107
Current State: 99:[32, 4, 107], Operations: ['59+48=107']
Exploring Operation: 32/4=8, Resulting Numbers: [107, 8]
Generated Node #3: [107, 8] from Operation: 32/4=8
Current State: 99:[107, 8], Operations: ['59+48=107', '32/4=8']
Exploring Operation: 107-8=99, Resulting Numbers: [99]
99,99 equal: Goal Reached
| 4 |
[
70,
7,
8,
56
] | 54 | [
"70/7=10",
"8+56=64",
"64-10=54"
] | Current State: 54:[70, 7, 8, 56], Operations: []
Exploring Operation: 70/7=10, Resulting Numbers: [8, 56, 10]
Generated Node #2: [8, 56, 10] from Operation: 70/7=10
Current State: 54:[8, 56, 10], Operations: ['70/7=10']
Exploring Operation: 8+56=64, Resulting Numbers: [10, 64]
Generated Node #3: [10, 64] from Operation: 8+56=64
Current State: 54:[10, 64], Operations: ['70/7=10', '8+56=64']
Exploring Operation: 64-10=54, Resulting Numbers: [54]
54,54 equal: Goal Reached
| 4 |
[
99,
90,
66,
2
] | 84 | [
"99-90=9",
"2*9=18",
"66+18=84"
] | Current State: 84:[99, 90, 66, 2], Operations: []
Exploring Operation: 99-90=9, Resulting Numbers: [66, 2, 9]
Generated Node #2: [66, 2, 9] from Operation: 99-90=9
Current State: 84:[66, 2, 9], Operations: ['99-90=9']
Exploring Operation: 2*9=18, Resulting Numbers: [66, 18]
Generated Node #3: [66, 18] from Operation: 2*9=18
Current State: 84:[66, 18], Operations: ['99-90=9', '2*9=18']
Exploring Operation: 66+18=84, Resulting Numbers: [84]
84,84 equal: Goal Reached
| 4 |
[
88,
87,
53,
64
] | 11 | [
"88-87=1",
"64-53=11",
"1*11=11"
] | Current State: 11:[88, 87, 53, 64], Operations: []
Exploring Operation: 88-87=1, Resulting Numbers: [53, 64, 1]
Generated Node #2: [53, 64, 1] from Operation: 88-87=1
Current State: 11:[53, 64, 1], Operations: ['88-87=1']
Exploring Operation: 64-53=11, Resulting Numbers: [1, 11]
Generated Node #3: [1, 11] from Operation: 64-53=11
Current State: 11:[1, 11], Operations: ['88-87=1', '64-53=11']
Exploring Operation: 1*11=11, Resulting Numbers: [11]
11,11 equal: Goal Reached
| 4 |
[
7,
98,
27,
79
] | 53 | [
"7+98=105",
"79-27=52",
"105-52=53"
] | Current State: 53:[7, 98, 27, 79], Operations: []
Exploring Operation: 7+98=105, Resulting Numbers: [27, 79, 105]
Generated Node #2: [27, 79, 105] from Operation: 7+98=105
Current State: 53:[27, 79, 105], Operations: ['7+98=105']
Exploring Operation: 79-27=52, Resulting Numbers: [105, 52]
Generated Node #3: [105, 52] from Operation: 79-27=52
Current State: 53:[105, 52], Operations: ['7+98=105', '79-27=52']
Exploring Operation: 105-52=53, Resulting Numbers: [53]
53,53 equal: Goal Reached
| 4 |
[
17,
72,
83,
85
] | 53 | [
"72-17=55",
"85-83=2",
"55-2=53"
] | Current State: 53:[17, 72, 83, 85], Operations: []
Exploring Operation: 72-17=55, Resulting Numbers: [83, 85, 55]
Generated Node #2: [83, 85, 55] from Operation: 72-17=55
Current State: 53:[83, 85, 55], Operations: ['72-17=55']
Exploring Operation: 85-83=2, Resulting Numbers: [55, 2]
Generated Node #3: [55, 2] from Operation: 85-83=2
Current State: 53:[55, 2], Operations: ['72-17=55', '85-83=2']
Exploring Operation: 55-2=53, Resulting Numbers: [53]
53,53 equal: Goal Reached
| 4 |
[
36,
73,
10,
15
] | 19 | [
"36*15=540",
"540/10=54",
"73-54=19"
] | Current State: 19:[36, 73, 10, 15], Operations: []
Exploring Operation: 36*15=540, Resulting Numbers: [73, 10, 540]
Generated Node #2: [73, 10, 540] from Operation: 36*15=540
Current State: 19:[73, 10, 540], Operations: ['36*15=540']
Exploring Operation: 540/10=54, Resulting Numbers: [73, 54]
Generated Node #3: [73, 54] from Operation: 540/10=54
Current State: 19:[73, 54], Operations: ['36*15=540', '540/10=54']
Exploring Operation: 73-54=19, Resulting Numbers: [19]
19,19 equal: Goal Reached
| 4 |
[
89,
97,
24,
59
] | 43 | [
"97-89=8",
"59-24=35",
"8+35=43"
] | Current State: 43:[89, 97, 24, 59], Operations: []
Exploring Operation: 97-89=8, Resulting Numbers: [24, 59, 8]
Generated Node #2: [24, 59, 8] from Operation: 97-89=8
Current State: 43:[24, 59, 8], Operations: ['97-89=8']
Exploring Operation: 59-24=35, Resulting Numbers: [8, 35]
Generated Node #3: [8, 35] from Operation: 59-24=35
Current State: 43:[8, 35], Operations: ['97-89=8', '59-24=35']
Exploring Operation: 8+35=43, Resulting Numbers: [43]
43,43 equal: Goal Reached
| 4 |
[
19,
20,
43,
36
] | 97 | [
"19*43=817",
"20*36=720",
"817-720=97"
] | Current State: 97:[19, 20, 43, 36], Operations: []
Exploring Operation: 19*43=817, Resulting Numbers: [20, 36, 817]
Generated Node #2: [20, 36, 817] from Operation: 19*43=817
Current State: 97:[20, 36, 817], Operations: ['19*43=817']
Exploring Operation: 20*36=720, Resulting Numbers: [817, 720]
Generated Node #3: [817, 720] from Operation: 20*36=720
Current State: 97:[817, 720], Operations: ['19*43=817', '20*36=720']
Exploring Operation: 817-720=97, Resulting Numbers: [97]
97,97 equal: Goal Reached
| 4 |
[
87,
39,
97,
79
] | 17 | [
"87-79=8",
"39+97=136",
"136/8=17"
] | Current State: 17:[87, 39, 97, 79], Operations: []
Exploring Operation: 87-79=8, Resulting Numbers: [39, 97, 8]
Generated Node #2: [39, 97, 8] from Operation: 87-79=8
Current State: 17:[39, 97, 8], Operations: ['87-79=8']
Exploring Operation: 39+97=136, Resulting Numbers: [8, 136]
Generated Node #3: [8, 136] from Operation: 39+97=136
Current State: 17:[8, 136], Operations: ['87-79=8', '39+97=136']
Exploring Operation: 136/8=17, Resulting Numbers: [17]
17,17 equal: Goal Reached
| 4 |
[
23,
46,
96,
8
] | 80 | [
"46/23=2",
"8*2=16",
"96-16=80"
] | Current State: 80:[23, 46, 96, 8], Operations: []
Exploring Operation: 46/23=2, Resulting Numbers: [96, 8, 2]
Generated Node #2: [96, 8, 2] from Operation: 46/23=2
Current State: 80:[96, 8, 2], Operations: ['46/23=2']
Exploring Operation: 8*2=16, Resulting Numbers: [96, 16]
Generated Node #3: [96, 16] from Operation: 8*2=16
Current State: 80:[96, 16], Operations: ['46/23=2', '8*2=16']
Exploring Operation: 96-16=80, Resulting Numbers: [80]
80,80 equal: Goal Reached
| 4 |
[
79,
41,
24,
75
] | 61 | [
"79-41=38",
"24+75=99",
"99-38=61"
] | Current State: 61:[79, 41, 24, 75], Operations: []
Exploring Operation: 79-41=38, Resulting Numbers: [24, 75, 38]
Generated Node #2: [24, 75, 38] from Operation: 79-41=38
Current State: 61:[24, 75, 38], Operations: ['79-41=38']
Exploring Operation: 24+75=99, Resulting Numbers: [38, 99]
Generated Node #3: [38, 99] from Operation: 24+75=99
Current State: 61:[38, 99], Operations: ['79-41=38', '24+75=99']
Exploring Operation: 99-38=61, Resulting Numbers: [61]
61,61 equal: Goal Reached
| 4 |
[
94,
12,
77,
97
] | 41 | [
"97-94=3",
"12*3=36",
"77-36=41"
] | Current State: 41:[94, 12, 77, 97], Operations: []
Exploring Operation: 97-94=3, Resulting Numbers: [12, 77, 3]
Generated Node #2: [12, 77, 3] from Operation: 97-94=3
Current State: 41:[12, 77, 3], Operations: ['97-94=3']
Exploring Operation: 12*3=36, Resulting Numbers: [77, 36]
Generated Node #3: [77, 36] from Operation: 12*3=36
Current State: 41:[77, 36], Operations: ['97-94=3', '12*3=36']
Exploring Operation: 77-36=41, Resulting Numbers: [41]
41,41 equal: Goal Reached
| 4 |
[
64,
69,
32,
23
] | 48 | [
"64/32=2",
"69-23=46",
"2+46=48"
] | Current State: 48:[64, 69, 32, 23], Operations: []
Exploring Operation: 64/32=2, Resulting Numbers: [69, 23, 2]
Generated Node #2: [69, 23, 2] from Operation: 64/32=2
Current State: 48:[69, 23, 2], Operations: ['64/32=2']
Exploring Operation: 69-23=46, Resulting Numbers: [2, 46]
Generated Node #3: [2, 46] from Operation: 69-23=46
Current State: 48:[2, 46], Operations: ['64/32=2', '69-23=46']
Exploring Operation: 2+46=48, Resulting Numbers: [48]
48,48 equal: Goal Reached
| 4 |
[
71,
98,
23,
98
] | 47 | [
"71-23=48",
"98/98=1",
"48-1=47"
] | Current State: 47:[71, 98, 23, 98], Operations: []
Exploring Operation: 71-23=48, Resulting Numbers: [98, 98, 48]
Generated Node #2: [98, 98, 48] from Operation: 71-23=48
Current State: 47:[98, 98, 48], Operations: ['71-23=48']
Exploring Operation: 98/98=1, Resulting Numbers: [48, 1]
Generated Node #3: [48, 1] from Operation: 98/98=1
Current State: 47:[48, 1], Operations: ['71-23=48', '98/98=1']
Exploring Operation: 48-1=47, Resulting Numbers: [47]
47,47 equal: Goal Reached
| 4 |
[
31,
55,
8,
5
] | 92 | [
"31*5=155",
"55+8=63",
"155-63=92"
] | Current State: 92:[31, 55, 8, 5], Operations: []
Exploring Operation: 31*5=155, Resulting Numbers: [55, 8, 155]
Generated Node #2: [55, 8, 155] from Operation: 31*5=155
Current State: 92:[55, 8, 155], Operations: ['31*5=155']
Exploring Operation: 55+8=63, Resulting Numbers: [155, 63]
Generated Node #3: [155, 63] from Operation: 55+8=63
Current State: 92:[155, 63], Operations: ['31*5=155', '55+8=63']
Exploring Operation: 155-63=92, Resulting Numbers: [92]
92,92 equal: Goal Reached
| 4 |
[
29,
68,
48,
48
] | 96 | [
"29+68=97",
"48/48=1",
"97-1=96"
] | Current State: 96:[29, 68, 48, 48], Operations: []
Exploring Operation: 29+68=97, Resulting Numbers: [48, 48, 97]
Generated Node #2: [48, 48, 97] from Operation: 29+68=97
Current State: 96:[48, 48, 97], Operations: ['29+68=97']
Exploring Operation: 48/48=1, Resulting Numbers: [97, 1]
Generated Node #3: [97, 1] from Operation: 48/48=1
Current State: 96:[97, 1], Operations: ['29+68=97', '48/48=1']
Exploring Operation: 97-1=96, Resulting Numbers: [96]
96,96 equal: Goal Reached
| 4 |
[
4,
82,
27,
85
] | 39 | [
"85-82=3",
"4*3=12",
"27+12=39"
] | Current State: 39:[4, 82, 27, 85], Operations: []
Exploring Operation: 85-82=3, Resulting Numbers: [4, 27, 3]
Generated Node #2: [4, 27, 3] from Operation: 85-82=3
Current State: 39:[4, 27, 3], Operations: ['85-82=3']
Exploring Operation: 4*3=12, Resulting Numbers: [27, 12]
Generated Node #3: [27, 12] from Operation: 4*3=12
Current State: 39:[27, 12], Operations: ['85-82=3', '4*3=12']
Exploring Operation: 27+12=39, Resulting Numbers: [39]
39,39 equal: Goal Reached
| 4 |
[
34,
26,
8,
46
] | 39 | [
"46-34=12",
"26*12=312",
"312/8=39"
] | Current State: 39:[34, 26, 8, 46], Operations: []
Exploring Operation: 46-34=12, Resulting Numbers: [26, 8, 12]
Generated Node #2: [26, 8, 12] from Operation: 46-34=12
Current State: 39:[26, 8, 12], Operations: ['46-34=12']
Exploring Operation: 26*12=312, Resulting Numbers: [8, 312]
Generated Node #3: [8, 312] from Operation: 26*12=312
Current State: 39:[8, 312], Operations: ['46-34=12', '26*12=312']
Exploring Operation: 312/8=39, Resulting Numbers: [39]
39,39 equal: Goal Reached
| 4 |
[
50,
90,
90,
92
] | 41 | [
"92-50=42",
"90/90=1",
"42-1=41"
] | Current State: 41:[50, 90, 90, 92], Operations: []
Exploring Operation: 92-50=42, Resulting Numbers: [90, 90, 42]
Generated Node #2: [90, 90, 42] from Operation: 92-50=42
Current State: 41:[90, 90, 42], Operations: ['92-50=42']
Exploring Operation: 90/90=1, Resulting Numbers: [42, 1]
Generated Node #3: [42, 1] from Operation: 90/90=1
Current State: 41:[42, 1], Operations: ['92-50=42', '90/90=1']
Exploring Operation: 42-1=41, Resulting Numbers: [41]
41,41 equal: Goal Reached
| 4 |
[
25,
19,
11,
53
] | 48 | [
"25*19=475",
"53+475=528",
"528/11=48"
] | Current State: 48:[25, 19, 11, 53], Operations: []
Exploring Operation: 25*19=475, Resulting Numbers: [11, 53, 475]
Generated Node #2: [11, 53, 475] from Operation: 25*19=475
Current State: 48:[11, 53, 475], Operations: ['25*19=475']
Exploring Operation: 53+475=528, Resulting Numbers: [11, 528]
Generated Node #3: [11, 528] from Operation: 53+475=528
Current State: 48:[11, 528], Operations: ['25*19=475', '53+475=528']
Exploring Operation: 528/11=48, Resulting Numbers: [48]
48,48 equal: Goal Reached
| 4 |
[
48,
7,
16,
81
] | 91 | [
"48/16=3",
"7+81=88",
"3+88=91"
] | Current State: 91:[48, 7, 16, 81], Operations: []
Exploring Operation: 48/16=3, Resulting Numbers: [7, 81, 3]
Generated Node #2: [7, 81, 3] from Operation: 48/16=3
Current State: 91:[7, 81, 3], Operations: ['48/16=3']
Exploring Operation: 7+81=88, Resulting Numbers: [3, 88]
Generated Node #3: [3, 88] from Operation: 7+81=88
Current State: 91:[3, 88], Operations: ['48/16=3', '7+81=88']
Exploring Operation: 3+88=91, Resulting Numbers: [91]
91,91 equal: Goal Reached
| 4 |
[
57,
6,
80,
65
] | 82 | [
"57+6=63",
"80+65=145",
"145-63=82"
] | Current State: 82:[57, 6, 80, 65], Operations: []
Exploring Operation: 57+6=63, Resulting Numbers: [80, 65, 63]
Generated Node #2: [80, 65, 63] from Operation: 57+6=63
Current State: 82:[80, 65, 63], Operations: ['57+6=63']
Exploring Operation: 80+65=145, Resulting Numbers: [63, 145]
Generated Node #3: [63, 145] from Operation: 80+65=145
Current State: 82:[63, 145], Operations: ['57+6=63', '80+65=145']
Exploring Operation: 145-63=82, Resulting Numbers: [82]
82,82 equal: Goal Reached
| 4 |
[
58,
81,
38,
32
] | 47 | [
"81-58=23",
"38+32=70",
"70-23=47"
] | Current State: 47:[58, 81, 38, 32], Operations: []
Exploring Operation: 81-58=23, Resulting Numbers: [38, 32, 23]
Generated Node #2: [38, 32, 23] from Operation: 81-58=23
Current State: 47:[38, 32, 23], Operations: ['81-58=23']
Exploring Operation: 38+32=70, Resulting Numbers: [23, 70]
Generated Node #3: [23, 70] from Operation: 38+32=70
Current State: 47:[23, 70], Operations: ['81-58=23', '38+32=70']
Exploring Operation: 70-23=47, Resulting Numbers: [47]
47,47 equal: Goal Reached
| 4 |
[
12,
69,
75,
39
] | 27 | [
"69+75=144",
"144/12=12",
"39-12=27"
] | Current State: 27:[12, 69, 75, 39], Operations: []
Exploring Operation: 69+75=144, Resulting Numbers: [12, 39, 144]
Generated Node #2: [12, 39, 144] from Operation: 69+75=144
Current State: 27:[12, 39, 144], Operations: ['69+75=144']
Exploring Operation: 144/12=12, Resulting Numbers: [39, 12]
Generated Node #3: [39, 12] from Operation: 144/12=12
Current State: 27:[39, 12], Operations: ['69+75=144', '144/12=12']
Exploring Operation: 39-12=27, Resulting Numbers: [27]
27,27 equal: Goal Reached
| 4 |
[
39,
27,
3,
20
] | 42 | [
"39+27=66",
"66/3=22",
"20+22=42"
] | Current State: 42:[39, 27, 3, 20], Operations: []
Exploring Operation: 39+27=66, Resulting Numbers: [3, 20, 66]
Generated Node #2: [3, 20, 66] from Operation: 39+27=66
Current State: 42:[3, 20, 66], Operations: ['39+27=66']
Exploring Operation: 66/3=22, Resulting Numbers: [20, 22]
Generated Node #3: [20, 22] from Operation: 66/3=22
Current State: 42:[20, 22], Operations: ['39+27=66', '66/3=22']
Exploring Operation: 20+22=42, Resulting Numbers: [42]
42,42 equal: Goal Reached
| 4 |
[
68,
80,
87,
32
] | 43 | [
"80-68=12",
"87-32=55",
"55-12=43"
] | Current State: 43:[68, 80, 87, 32], Operations: []
Exploring Operation: 80-68=12, Resulting Numbers: [87, 32, 12]
Generated Node #2: [87, 32, 12] from Operation: 80-68=12
Current State: 43:[87, 32, 12], Operations: ['80-68=12']
Exploring Operation: 87-32=55, Resulting Numbers: [12, 55]
Generated Node #3: [12, 55] from Operation: 87-32=55
Current State: 43:[12, 55], Operations: ['80-68=12', '87-32=55']
Exploring Operation: 55-12=43, Resulting Numbers: [43]
43,43 equal: Goal Reached
| 4 |
[
72,
27,
69,
7
] | 63 | [
"72-69=3",
"27*7=189",
"189/3=63"
] | Current State: 63:[72, 27, 69, 7], Operations: []
Exploring Operation: 72-69=3, Resulting Numbers: [27, 7, 3]
Generated Node #2: [27, 7, 3] from Operation: 72-69=3
Current State: 63:[27, 7, 3], Operations: ['72-69=3']
Exploring Operation: 27*7=189, Resulting Numbers: [3, 189]
Generated Node #3: [3, 189] from Operation: 27*7=189
Current State: 63:[3, 189], Operations: ['72-69=3', '27*7=189']
Exploring Operation: 189/3=63, Resulting Numbers: [63]
63,63 equal: Goal Reached
| 4 |
[
10,
43,
66,
77
] | 54 | [
"43+77=120",
"120/10=12",
"66-12=54"
] | Current State: 54:[10, 43, 66, 77], Operations: []
Exploring Operation: 43+77=120, Resulting Numbers: [10, 66, 120]
Generated Node #2: [10, 66, 120] from Operation: 43+77=120
Current State: 54:[10, 66, 120], Operations: ['43+77=120']
Exploring Operation: 120/10=12, Resulting Numbers: [66, 12]
Generated Node #3: [66, 12] from Operation: 120/10=12
Current State: 54:[66, 12], Operations: ['43+77=120', '120/10=12']
Exploring Operation: 66-12=54, Resulting Numbers: [54]
54,54 equal: Goal Reached
| 4 |
[
5,
37,
3,
70
] | 22 | [
"37+3=40",
"70+40=110",
"110/5=22"
] | Current State: 22:[5, 37, 3, 70], Operations: []
Exploring Operation: 37+3=40, Resulting Numbers: [5, 70, 40]
Generated Node #2: [5, 70, 40] from Operation: 37+3=40
Current State: 22:[5, 70, 40], Operations: ['37+3=40']
Exploring Operation: 70+40=110, Resulting Numbers: [5, 110]
Generated Node #3: [5, 110] from Operation: 70+40=110
Current State: 22:[5, 110], Operations: ['37+3=40', '70+40=110']
Exploring Operation: 110/5=22, Resulting Numbers: [22]
22,22 equal: Goal Reached
| 4 |
[
93,
20,
15,
77
] | 60 | [
"93-20=73",
"77-73=4",
"15*4=60"
] | Current State: 60:[93, 20, 15, 77], Operations: []
Exploring Operation: 93-20=73, Resulting Numbers: [15, 77, 73]
Generated Node #2: [15, 77, 73] from Operation: 93-20=73
Current State: 60:[15, 77, 73], Operations: ['93-20=73']
Exploring Operation: 77-73=4, Resulting Numbers: [15, 4]
Generated Node #3: [15, 4] from Operation: 77-73=4
Current State: 60:[15, 4], Operations: ['93-20=73', '77-73=4']
Exploring Operation: 15*4=60, Resulting Numbers: [60]
60,60 equal: Goal Reached
| 4 |
[
22,
66,
2,
17
] | 76 | [
"22-17=5",
"2*5=10",
"66+10=76"
] | Current State: 76:[22, 66, 2, 17], Operations: []
Exploring Operation: 22-17=5, Resulting Numbers: [66, 2, 5]
Generated Node #2: [66, 2, 5] from Operation: 22-17=5
Current State: 76:[66, 2, 5], Operations: ['22-17=5']
Exploring Operation: 2*5=10, Resulting Numbers: [66, 10]
Generated Node #3: [66, 10] from Operation: 2*5=10
Current State: 76:[66, 10], Operations: ['22-17=5', '2*5=10']
Exploring Operation: 66+10=76, Resulting Numbers: [76]
76,76 equal: Goal Reached
| 4 |
[
66,
15,
39,
17
] | 24 | [
"66+39=105",
"105/15=7",
"17+7=24"
] | Current State: 24:[66, 15, 39, 17], Operations: []
Exploring Operation: 66+39=105, Resulting Numbers: [15, 17, 105]
Generated Node #2: [15, 17, 105] from Operation: 66+39=105
Current State: 24:[15, 17, 105], Operations: ['66+39=105']
Exploring Operation: 105/15=7, Resulting Numbers: [17, 7]
Generated Node #3: [17, 7] from Operation: 105/15=7
Current State: 24:[17, 7], Operations: ['66+39=105', '105/15=7']
Exploring Operation: 17+7=24, Resulting Numbers: [24]
24,24 equal: Goal Reached
| 4 |
[
61,
96,
60,
52
] | 73 | [
"60-52=8",
"96/8=12",
"61+12=73"
] | Current State: 73:[61, 96, 60, 52], Operations: []
Exploring Operation: 60-52=8, Resulting Numbers: [61, 96, 8]
Generated Node #2: [61, 96, 8] from Operation: 60-52=8
Current State: 73:[61, 96, 8], Operations: ['60-52=8']
Exploring Operation: 96/8=12, Resulting Numbers: [61, 12]
Generated Node #3: [61, 12] from Operation: 96/8=12
Current State: 73:[61, 12], Operations: ['60-52=8', '96/8=12']
Exploring Operation: 61+12=73, Resulting Numbers: [73]
73,73 equal: Goal Reached
| 4 |
[
92,
14,
44,
76
] | 14 | [
"92+14=106",
"44+76=120",
"120-106=14"
] | Current State: 14:[92, 14, 44, 76], Operations: []
Exploring Operation: 92+14=106, Resulting Numbers: [44, 76, 106]
Generated Node #2: [44, 76, 106] from Operation: 92+14=106
Current State: 14:[44, 76, 106], Operations: ['92+14=106']
Exploring Operation: 44+76=120, Resulting Numbers: [106, 120]
Generated Node #3: [106, 120] from Operation: 44+76=120
Current State: 14:[106, 120], Operations: ['92+14=106', '44+76=120']
Exploring Operation: 120-106=14, Resulting Numbers: [14]
14,14 equal: Goal Reached
| 4 |
[
95,
14,
78,
74
] | 43 | [
"95+14=109",
"78+74=152",
"152-109=43"
] | Current State: 43:[95, 14, 78, 74], Operations: []
Exploring Operation: 95+14=109, Resulting Numbers: [78, 74, 109]
Generated Node #2: [78, 74, 109] from Operation: 95+14=109
Current State: 43:[78, 74, 109], Operations: ['95+14=109']
Exploring Operation: 78+74=152, Resulting Numbers: [109, 152]
Generated Node #3: [109, 152] from Operation: 78+74=152
Current State: 43:[109, 152], Operations: ['95+14=109', '78+74=152']
Exploring Operation: 152-109=43, Resulting Numbers: [43]
43,43 equal: Goal Reached
| 4 |
[
18,
82,
9,
5
] | 89 | [
"18/9=2",
"82+5=87",
"2+87=89"
] | Current State: 89:[18, 82, 9, 5], Operations: []
Exploring Operation: 18/9=2, Resulting Numbers: [82, 5, 2]
Generated Node #2: [82, 5, 2] from Operation: 18/9=2
Current State: 89:[82, 5, 2], Operations: ['18/9=2']
Exploring Operation: 82+5=87, Resulting Numbers: [2, 87]
Generated Node #3: [2, 87] from Operation: 82+5=87
Current State: 89:[2, 87], Operations: ['18/9=2', '82+5=87']
Exploring Operation: 2+87=89, Resulting Numbers: [89]
89,89 equal: Goal Reached
| 4 |
[
10,
61,
98,
57
] | 22 | [
"98-10=88",
"61-57=4",
"88/4=22"
] | Current State: 22:[10, 61, 98, 57], Operations: []
Exploring Operation: 98-10=88, Resulting Numbers: [61, 57, 88]
Generated Node #2: [61, 57, 88] from Operation: 98-10=88
Current State: 22:[61, 57, 88], Operations: ['98-10=88']
Exploring Operation: 61-57=4, Resulting Numbers: [88, 4]
Generated Node #3: [88, 4] from Operation: 61-57=4
Current State: 22:[88, 4], Operations: ['98-10=88', '61-57=4']
Exploring Operation: 88/4=22, Resulting Numbers: [22]
22,22 equal: Goal Reached
| 4 |
[
98,
66,
7,
28
] | 56 | [
"98-28=70",
"70/7=10",
"66-10=56"
] | Current State: 56:[98, 66, 7, 28], Operations: []
Exploring Operation: 98-28=70, Resulting Numbers: [66, 7, 70]
Generated Node #2: [66, 7, 70] from Operation: 98-28=70
Current State: 56:[66, 7, 70], Operations: ['98-28=70']
Exploring Operation: 70/7=10, Resulting Numbers: [66, 10]
Generated Node #3: [66, 10] from Operation: 70/7=10
Current State: 56:[66, 10], Operations: ['98-28=70', '70/7=10']
Exploring Operation: 66-10=56, Resulting Numbers: [56]
56,56 equal: Goal Reached
| 4 |
[
63,
53,
13,
91
] | 38 | [
"63+53=116",
"91-13=78",
"116-78=38"
] | Current State: 38:[63, 53, 13, 91], Operations: []
Exploring Operation: 63+53=116, Resulting Numbers: [13, 91, 116]
Generated Node #2: [13, 91, 116] from Operation: 63+53=116
Current State: 38:[13, 91, 116], Operations: ['63+53=116']
Exploring Operation: 91-13=78, Resulting Numbers: [116, 78]
Generated Node #3: [116, 78] from Operation: 91-13=78
Current State: 38:[116, 78], Operations: ['63+53=116', '91-13=78']
Exploring Operation: 116-78=38, Resulting Numbers: [38]
38,38 equal: Goal Reached
| 4 |
[
33,
37,
72,
58
] | 18 | [
"37-33=4",
"72-58=14",
"4+14=18"
] | Current State: 18:[33, 37, 72, 58], Operations: []
Exploring Operation: 37-33=4, Resulting Numbers: [72, 58, 4]
Generated Node #2: [72, 58, 4] from Operation: 37-33=4
Current State: 18:[72, 58, 4], Operations: ['37-33=4']
Exploring Operation: 72-58=14, Resulting Numbers: [4, 14]
Generated Node #3: [4, 14] from Operation: 72-58=14
Current State: 18:[4, 14], Operations: ['37-33=4', '72-58=14']
Exploring Operation: 4+14=18, Resulting Numbers: [18]
18,18 equal: Goal Reached
| 4 |
[
49,
34,
63,
20
] | 40 | [
"49+34=83",
"63-20=43",
"83-43=40"
] | Current State: 40:[49, 34, 63, 20], Operations: []
Exploring Operation: 49+34=83, Resulting Numbers: [63, 20, 83]
Generated Node #2: [63, 20, 83] from Operation: 49+34=83
Current State: 40:[63, 20, 83], Operations: ['49+34=83']
Exploring Operation: 63-20=43, Resulting Numbers: [83, 43]
Generated Node #3: [83, 43] from Operation: 63-20=43
Current State: 40:[83, 43], Operations: ['49+34=83', '63-20=43']
Exploring Operation: 83-43=40, Resulting Numbers: [40]
40,40 equal: Goal Reached
| 4 |
[
42,
86,
43,
65
] | 66 | [
"86-42=44",
"65-43=22",
"44+22=66"
] | Current State: 66:[42, 86, 43, 65], Operations: []
Exploring Operation: 86-42=44, Resulting Numbers: [43, 65, 44]
Generated Node #2: [43, 65, 44] from Operation: 86-42=44
Current State: 66:[43, 65, 44], Operations: ['86-42=44']
Exploring Operation: 65-43=22, Resulting Numbers: [44, 22]
Generated Node #3: [44, 22] from Operation: 65-43=22
Current State: 66:[44, 22], Operations: ['86-42=44', '65-43=22']
Exploring Operation: 44+22=66, Resulting Numbers: [66]
66,66 equal: Goal Reached
| 4 |
[
10,
85,
17,
21
] | 36 | [
"10+21=31",
"85/17=5",
"31+5=36"
] | Current State: 36:[10, 85, 17, 21], Operations: []
Exploring Operation: 10+21=31, Resulting Numbers: [85, 17, 31]
Generated Node #2: [85, 17, 31] from Operation: 10+21=31
Current State: 36:[85, 17, 31], Operations: ['10+21=31']
Exploring Operation: 85/17=5, Resulting Numbers: [31, 5]
Generated Node #3: [31, 5] from Operation: 85/17=5
Current State: 36:[31, 5], Operations: ['10+21=31', '85/17=5']
Exploring Operation: 31+5=36, Resulting Numbers: [36]
36,36 equal: Goal Reached
| 4 |
[
51,
95,
50,
60
] | 35 | [
"51-50=1",
"95-60=35",
"1*35=35"
] | Current State: 35:[51, 95, 50, 60], Operations: []
Exploring Operation: 51-50=1, Resulting Numbers: [95, 60, 1]
Generated Node #2: [95, 60, 1] from Operation: 51-50=1
Current State: 35:[95, 60, 1], Operations: ['51-50=1']
Exploring Operation: 95-60=35, Resulting Numbers: [1, 35]
Generated Node #3: [1, 35] from Operation: 95-60=35
Current State: 35:[1, 35], Operations: ['51-50=1', '95-60=35']
Exploring Operation: 1*35=35, Resulting Numbers: [35]
35,35 equal: Goal Reached
| 4 |
[
50,
37,
35,
73
] | 48 | [
"37-35=2",
"50/2=25",
"73-25=48"
] | Current State: 48:[50, 37, 35, 73], Operations: []
Exploring Operation: 37-35=2, Resulting Numbers: [50, 73, 2]
Generated Node #2: [50, 73, 2] from Operation: 37-35=2
Current State: 48:[50, 73, 2], Operations: ['37-35=2']
Exploring Operation: 50/2=25, Resulting Numbers: [73, 25]
Generated Node #3: [73, 25] from Operation: 50/2=25
Current State: 48:[73, 25], Operations: ['37-35=2', '50/2=25']
Exploring Operation: 73-25=48, Resulting Numbers: [48]
48,48 equal: Goal Reached
| 4 |
[
48,
28,
77,
9
] | 66 | [
"48-28=20",
"77+9=86",
"86-20=66"
] | Current State: 66:[48, 28, 77, 9], Operations: []
Exploring Operation: 48-28=20, Resulting Numbers: [77, 9, 20]
Generated Node #2: [77, 9, 20] from Operation: 48-28=20
Current State: 66:[77, 9, 20], Operations: ['48-28=20']
Exploring Operation: 77+9=86, Resulting Numbers: [20, 86]
Generated Node #3: [20, 86] from Operation: 77+9=86
Current State: 66:[20, 86], Operations: ['48-28=20', '77+9=86']
Exploring Operation: 86-20=66, Resulting Numbers: [66]
66,66 equal: Goal Reached
| 4 |
[
13,
9,
65,
39
] | 38 | [
"39/13=3",
"9*3=27",
"65-27=38"
] | Current State: 38:[13, 9, 65, 39], Operations: []
Exploring Operation: 39/13=3, Resulting Numbers: [9, 65, 3]
Generated Node #2: [9, 65, 3] from Operation: 39/13=3
Current State: 38:[9, 65, 3], Operations: ['39/13=3']
Exploring Operation: 9*3=27, Resulting Numbers: [65, 27]
Generated Node #3: [65, 27] from Operation: 9*3=27
Current State: 38:[65, 27], Operations: ['39/13=3', '9*3=27']
Exploring Operation: 65-27=38, Resulting Numbers: [38]
38,38 equal: Goal Reached
| 4 |
[
42,
72,
75,
64
] | 50 | [
"75-72=3",
"42/3=14",
"64-14=50"
] | Current State: 50:[42, 72, 75, 64], Operations: []
Exploring Operation: 75-72=3, Resulting Numbers: [42, 64, 3]
Generated Node #2: [42, 64, 3] from Operation: 75-72=3
Current State: 50:[42, 64, 3], Operations: ['75-72=3']
Exploring Operation: 42/3=14, Resulting Numbers: [64, 14]
Generated Node #3: [64, 14] from Operation: 42/3=14
Current State: 50:[64, 14], Operations: ['75-72=3', '42/3=14']
Exploring Operation: 64-14=50, Resulting Numbers: [50]
50,50 equal: Goal Reached
| 4 |
[
41,
27,
45,
70
] | 83 | [
"27*70=1890",
"1890/45=42",
"41+42=83"
] | Current State: 83:[41, 27, 45, 70], Operations: []
Exploring Operation: 27*70=1890, Resulting Numbers: [41, 45, 1890]
Generated Node #2: [41, 45, 1890] from Operation: 27*70=1890
Current State: 83:[41, 45, 1890], Operations: ['27*70=1890']
Exploring Operation: 1890/45=42, Resulting Numbers: [41, 42]
Generated Node #3: [41, 42] from Operation: 1890/45=42
Current State: 83:[41, 42], Operations: ['27*70=1890', '1890/45=42']
Exploring Operation: 41+42=83, Resulting Numbers: [83]
83,83 equal: Goal Reached
| 4 |
[
5,
77,
24,
32
] | 80 | [
"77-5=72",
"32-24=8",
"72+8=80"
] | Current State: 80:[5, 77, 24, 32], Operations: []
Exploring Operation: 77-5=72, Resulting Numbers: [24, 32, 72]
Generated Node #2: [24, 32, 72] from Operation: 77-5=72
Current State: 80:[24, 32, 72], Operations: ['77-5=72']
Exploring Operation: 32-24=8, Resulting Numbers: [72, 8]
Generated Node #3: [72, 8] from Operation: 32-24=8
Current State: 80:[72, 8], Operations: ['77-5=72', '32-24=8']
Exploring Operation: 72+8=80, Resulting Numbers: [80]
80,80 equal: Goal Reached
| 4 |
[
63,
84,
42,
70
] | 72 | [
"84-63=21",
"42/21=2",
"70+2=72"
] | Current State: 72:[63, 84, 42, 70], Operations: []
Exploring Operation: 84-63=21, Resulting Numbers: [42, 70, 21]
Generated Node #2: [42, 70, 21] from Operation: 84-63=21
Current State: 72:[42, 70, 21], Operations: ['84-63=21']
Exploring Operation: 42/21=2, Resulting Numbers: [70, 2]
Generated Node #3: [70, 2] from Operation: 42/21=2
Current State: 72:[70, 2], Operations: ['84-63=21', '42/21=2']
Exploring Operation: 70+2=72, Resulting Numbers: [72]
72,72 equal: Goal Reached
| 4 |
[
50,
37,
20,
20
] | 86 | [
"50+37=87",
"20/20=1",
"87-1=86"
] | Current State: 86:[50, 37, 20, 20], Operations: []
Exploring Operation: 50+37=87, Resulting Numbers: [20, 20, 87]
Generated Node #2: [20, 20, 87] from Operation: 50+37=87
Current State: 86:[20, 20, 87], Operations: ['50+37=87']
Exploring Operation: 20/20=1, Resulting Numbers: [87, 1]
Generated Node #3: [87, 1] from Operation: 20/20=1
Current State: 86:[87, 1], Operations: ['50+37=87', '20/20=1']
Exploring Operation: 87-1=86, Resulting Numbers: [86]
86,86 equal: Goal Reached
| 4 |
[
22,
32,
4,
54
] | 84 | [
"22+54=76",
"32/4=8",
"76+8=84"
] | Current State: 84:[22, 32, 4, 54], Operations: []
Exploring Operation: 22+54=76, Resulting Numbers: [32, 4, 76]
Generated Node #2: [32, 4, 76] from Operation: 22+54=76
Current State: 84:[32, 4, 76], Operations: ['22+54=76']
Exploring Operation: 32/4=8, Resulting Numbers: [76, 8]
Generated Node #3: [76, 8] from Operation: 32/4=8
Current State: 84:[76, 8], Operations: ['22+54=76', '32/4=8']
Exploring Operation: 76+8=84, Resulting Numbers: [84]
84,84 equal: Goal Reached
| 4 |
[
80,
26,
54,
50
] | 58 | [
"80-26=54",
"54-50=4",
"54+4=58"
] | Current State: 58:[80, 26, 54, 50], Operations: []
Exploring Operation: 80-26=54, Resulting Numbers: [54, 50, 54]
Generated Node #2: [54, 50, 54] from Operation: 80-26=54
Current State: 58:[54, 50, 54], Operations: ['80-26=54']
Exploring Operation: 54-50=4, Resulting Numbers: [4]
4,58 equal: Goal Reached
Exploring Operation: 54+4=58, Resulting Numbers: [58]
58,58 equal: Goal Reached
| 4 |
[
4,
19,
91,
2
] | 17 | [
"4*19=76",
"91+2=93",
"93-76=17"
] | Current State: 17:[4, 19, 91, 2], Operations: []
Exploring Operation: 4*19=76, Resulting Numbers: [91, 2, 76]
Generated Node #2: [91, 2, 76] from Operation: 4*19=76
Current State: 17:[91, 2, 76], Operations: ['4*19=76']
Exploring Operation: 91+2=93, Resulting Numbers: [76, 93]
Generated Node #3: [76, 93] from Operation: 91+2=93
Current State: 17:[76, 93], Operations: ['4*19=76', '91+2=93']
Exploring Operation: 93-76=17, Resulting Numbers: [17]
17,17 equal: Goal Reached
| 4 |
[
10,
30,
21,
40
] | 38 | [
"21*40=840",
"840/30=28",
"10+28=38"
] | Current State: 38:[10, 30, 21, 40], Operations: []
Exploring Operation: 21*40=840, Resulting Numbers: [10, 30, 840]
Generated Node #2: [10, 30, 840] from Operation: 21*40=840
Current State: 38:[10, 30, 840], Operations: ['21*40=840']
Exploring Operation: 840/30=28, Resulting Numbers: [10, 28]
Generated Node #3: [10, 28] from Operation: 840/30=28
Current State: 38:[10, 28], Operations: ['21*40=840', '840/30=28']
Exploring Operation: 10+28=38, Resulting Numbers: [38]
38,38 equal: Goal Reached
| 4 |
[
63,
99,
6,
67
] | 97 | [
"99-63=36",
"67-6=61",
"36+61=97"
] | Current State: 97:[63, 99, 6, 67], Operations: []
Exploring Operation: 99-63=36, Resulting Numbers: [6, 67, 36]
Generated Node #2: [6, 67, 36] from Operation: 99-63=36
Current State: 97:[6, 67, 36], Operations: ['99-63=36']
Exploring Operation: 67-6=61, Resulting Numbers: [36, 61]
Generated Node #3: [36, 61] from Operation: 67-6=61
Current State: 97:[36, 61], Operations: ['99-63=36', '67-6=61']
Exploring Operation: 36+61=97, Resulting Numbers: [97]
97,97 equal: Goal Reached
| 4 |
[
37,
15,
99,
92
] | 68 | [
"99-92=7",
"15*7=105",
"105-37=68"
] | Current State: 68:[37, 15, 99, 92], Operations: []
Exploring Operation: 99-92=7, Resulting Numbers: [37, 15, 7]
Generated Node #2: [37, 15, 7] from Operation: 99-92=7
Current State: 68:[37, 15, 7], Operations: ['99-92=7']
Exploring Operation: 15*7=105, Resulting Numbers: [37, 105]
Generated Node #3: [37, 105] from Operation: 15*7=105
Current State: 68:[37, 105], Operations: ['99-92=7', '15*7=105']
Exploring Operation: 105-37=68, Resulting Numbers: [68]
68,68 equal: Goal Reached
| 4 |
[
53,
81,
1,
57
] | 78 | [
"53+81=134",
"57-1=56",
"134-56=78"
] | Current State: 78:[53, 81, 1, 57], Operations: []
Exploring Operation: 53+81=134, Resulting Numbers: [1, 57, 134]
Generated Node #2: [1, 57, 134] from Operation: 53+81=134
Current State: 78:[1, 57, 134], Operations: ['53+81=134']
Exploring Operation: 57-1=56, Resulting Numbers: [134, 56]
Generated Node #3: [134, 56] from Operation: 57-1=56
Current State: 78:[134, 56], Operations: ['53+81=134', '57-1=56']
Exploring Operation: 134-56=78, Resulting Numbers: [78]
78,78 equal: Goal Reached
| 4 |
[
50,
92,
72,
27
] | 97 | [
"50+92=142",
"72-27=45",
"142-45=97"
] | Current State: 97:[50, 92, 72, 27], Operations: []
Exploring Operation: 50+92=142, Resulting Numbers: [72, 27, 142]
Generated Node #2: [72, 27, 142] from Operation: 50+92=142
Current State: 97:[72, 27, 142], Operations: ['50+92=142']
Exploring Operation: 72-27=45, Resulting Numbers: [142, 45]
Generated Node #3: [142, 45] from Operation: 72-27=45
Current State: 97:[142, 45], Operations: ['50+92=142', '72-27=45']
Exploring Operation: 142-45=97, Resulting Numbers: [97]
97,97 equal: Goal Reached
| 4 |
[
54,
85,
8,
31
] | 51 | [
"85+8=93",
"93/31=3",
"54-3=51"
] | Current State: 51:[54, 85, 8, 31], Operations: []
Exploring Operation: 85+8=93, Resulting Numbers: [54, 31, 93]
Generated Node #2: [54, 31, 93] from Operation: 85+8=93
Current State: 51:[54, 31, 93], Operations: ['85+8=93']
Exploring Operation: 93/31=3, Resulting Numbers: [54, 3]
Generated Node #3: [54, 3] from Operation: 93/31=3
Current State: 51:[54, 3], Operations: ['85+8=93', '93/31=3']
Exploring Operation: 54-3=51, Resulting Numbers: [51]
51,51 equal: Goal Reached
| 4 |
[
2,
8,
45,
5
] | 63 | [
"2*5=10",
"8+45=53",
"10+53=63"
] | Current State: 63:[2, 8, 45, 5], Operations: []
Exploring Operation: 2*5=10, Resulting Numbers: [8, 45, 10]
Generated Node #2: [8, 45, 10] from Operation: 2*5=10
Current State: 63:[8, 45, 10], Operations: ['2*5=10']
Exploring Operation: 8+45=53, Resulting Numbers: [10, 53]
Generated Node #3: [10, 53] from Operation: 8+45=53
Current State: 63:[10, 53], Operations: ['2*5=10', '8+45=53']
Exploring Operation: 10+53=63, Resulting Numbers: [63]
63,63 equal: Goal Reached
| 4 |
[
92,
19,
2,
95
] | 68 | [
"92/2=46",
"19+95=114",
"114-46=68"
] | Current State: 68:[92, 19, 2, 95], Operations: []
Exploring Operation: 92/2=46, Resulting Numbers: [19, 95, 46]
Generated Node #2: [19, 95, 46] from Operation: 92/2=46
Current State: 68:[19, 95, 46], Operations: ['92/2=46']
Exploring Operation: 19+95=114, Resulting Numbers: [46, 114]
Generated Node #3: [46, 114] from Operation: 19+95=114
Current State: 68:[46, 114], Operations: ['92/2=46', '19+95=114']
Exploring Operation: 114-46=68, Resulting Numbers: [68]
68,68 equal: Goal Reached
| 4 |
[
94,
86,
66,
34
] | 92 | [
"94-86=8",
"66+34=100",
"100-8=92"
] | Current State: 92:[94, 86, 66, 34], Operations: []
Exploring Operation: 94-86=8, Resulting Numbers: [66, 34, 8]
Generated Node #2: [66, 34, 8] from Operation: 94-86=8
Current State: 92:[66, 34, 8], Operations: ['94-86=8']
Exploring Operation: 66+34=100, Resulting Numbers: [8, 100]
Generated Node #3: [8, 100] from Operation: 66+34=100
Current State: 92:[8, 100], Operations: ['94-86=8', '66+34=100']
Exploring Operation: 100-8=92, Resulting Numbers: [92]
92,92 equal: Goal Reached
| 4 |
[
47,
12,
12,
88
] | 40 | [
"88-47=41",
"12/12=1",
"41-1=40"
] | Current State: 40:[47, 12, 12, 88], Operations: []
Exploring Operation: 88-47=41, Resulting Numbers: [12, 12, 41]
Generated Node #2: [12, 12, 41] from Operation: 88-47=41
Current State: 40:[12, 12, 41], Operations: ['88-47=41']
Exploring Operation: 12/12=1, Resulting Numbers: [41, 1]
Generated Node #3: [41, 1] from Operation: 12/12=1
Current State: 40:[41, 1], Operations: ['88-47=41', '12/12=1']
Exploring Operation: 41-1=40, Resulting Numbers: [40]
40,40 equal: Goal Reached
| 4 |
[
34,
24,
6,
16
] | 20 | [
"34-24=10",
"16-6=10",
"10+10=20"
] | Current State: 20:[34, 24, 6, 16], Operations: []
Exploring Operation: 34-24=10, Resulting Numbers: [6, 16, 10]
Generated Node #2: [6, 16, 10] from Operation: 34-24=10
Current State: 20:[6, 16, 10], Operations: ['34-24=10']
Exploring Operation: 16-6=10, Resulting Numbers: [10, 10]
Generated Node #3: [10, 10] from Operation: 16-6=10
Current State: 20:[10, 10], Operations: ['34-24=10', '16-6=10']
Exploring Operation: 10+10=20, Resulting Numbers: [20]
20,20 equal: Goal Reached
| 4 |
[
22,
63,
8,
2
] | 60 | [
"22+2=24",
"24/8=3",
"63-3=60"
] | Current State: 60:[22, 63, 8, 2], Operations: []
Exploring Operation: 22+2=24, Resulting Numbers: [63, 8, 24]
Generated Node #2: [63, 8, 24] from Operation: 22+2=24
Current State: 60:[63, 8, 24], Operations: ['22+2=24']
Exploring Operation: 24/8=3, Resulting Numbers: [63, 3]
Generated Node #3: [63, 3] from Operation: 24/8=3
Current State: 60:[63, 3], Operations: ['22+2=24', '24/8=3']
Exploring Operation: 63-3=60, Resulting Numbers: [60]
60,60 equal: Goal Reached
| 4 |
[
29,
36,
24,
74
] | 15 | [
"29+36=65",
"74-24=50",
"65-50=15"
] | Current State: 15:[29, 36, 24, 74], Operations: []
Exploring Operation: 29+36=65, Resulting Numbers: [24, 74, 65]
Generated Node #2: [24, 74, 65] from Operation: 29+36=65
Current State: 15:[24, 74, 65], Operations: ['29+36=65']
Exploring Operation: 74-24=50, Resulting Numbers: [65, 50]
Generated Node #3: [65, 50] from Operation: 74-24=50
Current State: 15:[65, 50], Operations: ['29+36=65', '74-24=50']
Exploring Operation: 65-50=15, Resulting Numbers: [15]
15,15 equal: Goal Reached
| 4 |
[
60,
71,
96,
77
] | 86 | [
"77-71=6",
"60/6=10",
"96-10=86"
] | Current State: 86:[60, 71, 96, 77], Operations: []
Exploring Operation: 77-71=6, Resulting Numbers: [60, 96, 6]
Generated Node #2: [60, 96, 6] from Operation: 77-71=6
Current State: 86:[60, 96, 6], Operations: ['77-71=6']
Exploring Operation: 60/6=10, Resulting Numbers: [96, 10]
Generated Node #3: [96, 10] from Operation: 60/6=10
Current State: 86:[96, 10], Operations: ['77-71=6', '60/6=10']
Exploring Operation: 96-10=86, Resulting Numbers: [86]
86,86 equal: Goal Reached
| 4 |
[
64,
88,
72,
5
] | 55 | [
"72-64=8",
"88*5=440",
"440/8=55"
] | Current State: 55:[64, 88, 72, 5], Operations: []
Exploring Operation: 72-64=8, Resulting Numbers: [88, 5, 8]
Generated Node #2: [88, 5, 8] from Operation: 72-64=8
Current State: 55:[88, 5, 8], Operations: ['72-64=8']
Exploring Operation: 88*5=440, Resulting Numbers: [8, 440]
Generated Node #3: [8, 440] from Operation: 88*5=440
Current State: 55:[8, 440], Operations: ['72-64=8', '88*5=440']
Exploring Operation: 440/8=55, Resulting Numbers: [55]
55,55 equal: Goal Reached
| 4 |
[
17,
80,
65,
81
] | 85 | [
"17*80=1360",
"81-65=16",
"1360/16=85"
] | Current State: 85:[17, 80, 65, 81], Operations: []
Exploring Operation: 17*80=1360, Resulting Numbers: [65, 81, 1360]
Generated Node #2: [65, 81, 1360] from Operation: 17*80=1360
Current State: 85:[65, 81, 1360], Operations: ['17*80=1360']
Exploring Operation: 81-65=16, Resulting Numbers: [1360, 16]
Generated Node #3: [1360, 16] from Operation: 81-65=16
Current State: 85:[1360, 16], Operations: ['17*80=1360', '81-65=16']
Exploring Operation: 1360/16=85, Resulting Numbers: [85]
85,85 equal: Goal Reached
| 4 |
[
83,
38,
69,
25
] | 27 | [
"83+38=121",
"69+25=94",
"121-94=27"
] | Current State: 27:[83, 38, 69, 25], Operations: []
Exploring Operation: 83+38=121, Resulting Numbers: [69, 25, 121]
Generated Node #2: [69, 25, 121] from Operation: 83+38=121
Current State: 27:[69, 25, 121], Operations: ['83+38=121']
Exploring Operation: 69+25=94, Resulting Numbers: [121, 94]
Generated Node #3: [121, 94] from Operation: 69+25=94
Current State: 27:[121, 94], Operations: ['83+38=121', '69+25=94']
Exploring Operation: 121-94=27, Resulting Numbers: [27]
27,27 equal: Goal Reached
| 4 |
[
35,
2,
46,
20
] | 84 | [
"2+46=48",
"35*48=1680",
"1680/20=84"
] | Current State: 84:[35, 2, 46, 20], Operations: []
Exploring Operation: 2+46=48, Resulting Numbers: [35, 20, 48]
Generated Node #2: [35, 20, 48] from Operation: 2+46=48
Current State: 84:[35, 20, 48], Operations: ['2+46=48']
Exploring Operation: 35*48=1680, Resulting Numbers: [20, 1680]
Generated Node #3: [20, 1680] from Operation: 35*48=1680
Current State: 84:[20, 1680], Operations: ['2+46=48', '35*48=1680']
Exploring Operation: 1680/20=84, Resulting Numbers: [84]
84,84 equal: Goal Reached
| 4 |
[
15,
48,
5,
7
] | 78 | [
"7-5=2",
"15*2=30",
"48+30=78"
] | Current State: 78:[15, 48, 5, 7], Operations: []
Exploring Operation: 7-5=2, Resulting Numbers: [15, 48, 2]
Generated Node #2: [15, 48, 2] from Operation: 7-5=2
Current State: 78:[15, 48, 2], Operations: ['7-5=2']
Exploring Operation: 15*2=30, Resulting Numbers: [48, 30]
Generated Node #3: [48, 30] from Operation: 15*2=30
Current State: 78:[48, 30], Operations: ['7-5=2', '15*2=30']
Exploring Operation: 48+30=78, Resulting Numbers: [78]
78,78 equal: Goal Reached
| 4 |
[
48,
10,
25,
4
] | 30 | [
"48*25=1200",
"10*4=40",
"1200/40=30"
] | Current State: 30:[48, 10, 25, 4], Operations: []
Exploring Operation: 48*25=1200, Resulting Numbers: [10, 4, 1200]
Generated Node #2: [10, 4, 1200] from Operation: 48*25=1200
Current State: 30:[10, 4, 1200], Operations: ['48*25=1200']
Exploring Operation: 10*4=40, Resulting Numbers: [1200, 40]
Generated Node #3: [1200, 40] from Operation: 10*4=40
Current State: 30:[1200, 40], Operations: ['48*25=1200', '10*4=40']
Exploring Operation: 1200/40=30, Resulting Numbers: [30]
30,30 equal: Goal Reached
| 4 |
[
14,
91,
66,
79
] | 92 | [
"14+91=105",
"79-66=13",
"105-13=92"
] | Current State: 92:[14, 91, 66, 79], Operations: []
Exploring Operation: 14+91=105, Resulting Numbers: [66, 79, 105]
Generated Node #2: [66, 79, 105] from Operation: 14+91=105
Current State: 92:[66, 79, 105], Operations: ['14+91=105']
Exploring Operation: 79-66=13, Resulting Numbers: [105, 13]
Generated Node #3: [105, 13] from Operation: 79-66=13
Current State: 92:[105, 13], Operations: ['14+91=105', '79-66=13']
Exploring Operation: 105-13=92, Resulting Numbers: [92]
92,92 equal: Goal Reached
| 4 |
[
46,
23,
23,
45
] | 44 | [
"46-23=23",
"23/23=1",
"45-1=44"
] | Current State: 44:[46, 23, 23, 45], Operations: []
Exploring Operation: 46-23=23, Resulting Numbers: [45, 23]
Generated Node #2: [45, 23] from Operation: 46-23=23
Current State: 44:[45, 23], Operations: ['46-23=23']
Exploring Operation: 23/23=1, Resulting Numbers: [45, 1]
Generated Node #3: [45, 1] from Operation: 23/23=1
Current State: 44:[45, 1], Operations: ['46-23=23', '23/23=1']
Exploring Operation: 45-1=44, Resulting Numbers: [44]
44,44 equal: Goal Reached
| 4 |
[
16,
25,
73,
61
] | 100 | [
"73-16=57",
"61-57=4",
"25*4=100"
] | Current State: 100:[16, 25, 73, 61], Operations: []
Exploring Operation: 73-16=57, Resulting Numbers: [25, 61, 57]
Generated Node #2: [25, 61, 57] from Operation: 73-16=57
Current State: 100:[25, 61, 57], Operations: ['73-16=57']
Exploring Operation: 61-57=4, Resulting Numbers: [25, 4]
Generated Node #3: [25, 4] from Operation: 61-57=4
Current State: 100:[25, 4], Operations: ['73-16=57', '61-57=4']
Exploring Operation: 25*4=100, Resulting Numbers: [100]
100,100 equal: Goal Reached
| 4 |
[
63,
11,
41,
52
] | 58 | [
"52-41=11",
"11*11=121",
"121-63=58"
] | Current State: 58:[63, 11, 41, 52], Operations: []
Exploring Operation: 52-41=11, Resulting Numbers: [63, 11, 11]
Generated Node #2: [63, 11, 11] from Operation: 52-41=11
Current State: 58:[63, 11, 11], Operations: ['52-41=11']
Exploring Operation: 11*11=121, Resulting Numbers: [63, 121]
Generated Node #3: [63, 121] from Operation: 11*11=121
Current State: 58:[63, 121], Operations: ['52-41=11', '11*11=121']
Exploring Operation: 121-63=58, Resulting Numbers: [58]
58,58 equal: Goal Reached
| 4 |
[
54,
64,
78,
47
] | 21 | [
"64-54=10",
"78-47=31",
"31-10=21"
] | Current State: 21:[54, 64, 78, 47], Operations: []
Exploring Operation: 64-54=10, Resulting Numbers: [78, 47, 10]
Generated Node #2: [78, 47, 10] from Operation: 64-54=10
Current State: 21:[78, 47, 10], Operations: ['64-54=10']
Exploring Operation: 78-47=31, Resulting Numbers: [10, 31]
Generated Node #3: [10, 31] from Operation: 78-47=31
Current State: 21:[10, 31], Operations: ['64-54=10', '78-47=31']
Exploring Operation: 31-10=21, Resulting Numbers: [21]
21,21 equal: Goal Reached
| 4 |
[
15,
25,
52,
60
] | 72 | [
"15+25=40",
"52+60=112",
"112-40=72"
] | Current State: 72:[15, 25, 52, 60], Operations: []
Exploring Operation: 15+25=40, Resulting Numbers: [52, 60, 40]
Generated Node #2: [52, 60, 40] from Operation: 15+25=40
Current State: 72:[52, 60, 40], Operations: ['15+25=40']
Exploring Operation: 52+60=112, Resulting Numbers: [40, 112]
Generated Node #3: [40, 112] from Operation: 52+60=112
Current State: 72:[40, 112], Operations: ['15+25=40', '52+60=112']
Exploring Operation: 112-40=72, Resulting Numbers: [72]
72,72 equal: Goal Reached
| 4 |
[
67,
89,
61,
4
] | 65 | [
"67-61=6",
"4*6=24",
"89-24=65"
] | Current State: 65:[67, 89, 61, 4], Operations: []
Exploring Operation: 67-61=6, Resulting Numbers: [89, 4, 6]
Generated Node #2: [89, 4, 6] from Operation: 67-61=6
Current State: 65:[89, 4, 6], Operations: ['67-61=6']
Exploring Operation: 4*6=24, Resulting Numbers: [89, 24]
Generated Node #3: [89, 24] from Operation: 4*6=24
Current State: 65:[89, 24], Operations: ['67-61=6', '4*6=24']
Exploring Operation: 89-24=65, Resulting Numbers: [65]
65,65 equal: Goal Reached
| 4 |
[
61,
27,
95,
96
] | 94 | [
"27+95=122",
"122/61=2",
"96-2=94"
] | Current State: 94:[61, 27, 95, 96], Operations: []
Exploring Operation: 27+95=122, Resulting Numbers: [61, 96, 122]
Generated Node #2: [61, 96, 122] from Operation: 27+95=122
Current State: 94:[61, 96, 122], Operations: ['27+95=122']
Exploring Operation: 122/61=2, Resulting Numbers: [96, 2]
Generated Node #3: [96, 2] from Operation: 122/61=2
Current State: 94:[96, 2], Operations: ['27+95=122', '122/61=2']
Exploring Operation: 96-2=94, Resulting Numbers: [94]
94,94 equal: Goal Reached
| 4 |
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