nums listlengths 4 4 | target int64 10 100 | solution listlengths 3 3 | optimal_path stringlengths 282 529 | start_size int64 4 4 |
|---|---|---|---|---|
[
26,
42,
26,
43
] | 85 | [
"26+42=68",
"43-26=17",
"68+17=85"
] | Current State: 85:[26, 42, 26, 43], Operations: []
Exploring Operation: 26+42=68, Resulting Numbers: [43, 68]
Generated Node #2: [43, 68] from Operation: 26+42=68
Current State: 85:[43, 68], Operations: ['26+42=68']
Exploring Operation: 43-26=17, Resulting Numbers: [68, 17]
Generated Node #3: [68, 17] from Operation: 43-26=17
Current State: 85:[68, 17], Operations: ['26+42=68', '43-26=17']
Exploring Operation: 68+17=85, Resulting Numbers: [85]
85,85 equal: Goal Reached
| 4 |
[
49,
30,
41,
54
] | 66 | [
"49+30=79",
"54-41=13",
"79-13=66"
] | Current State: 66:[49, 30, 41, 54], Operations: []
Exploring Operation: 49+30=79, Resulting Numbers: [41, 54, 79]
Generated Node #2: [41, 54, 79] from Operation: 49+30=79
Current State: 66:[41, 54, 79], Operations: ['49+30=79']
Exploring Operation: 54-41=13, Resulting Numbers: [79, 13]
Generated Node #3: [79, 13] from Operation: 54-41=13
Current State: 66:[79, 13], Operations: ['49+30=79', '54-41=13']
Exploring Operation: 79-13=66, Resulting Numbers: [66]
66,66 equal: Goal Reached
| 4 |
[
84,
3,
76,
95
] | 68 | [
"84+3=87",
"95-76=19",
"87-19=68"
] | Current State: 68:[84, 3, 76, 95], Operations: []
Exploring Operation: 84+3=87, Resulting Numbers: [76, 95, 87]
Generated Node #2: [76, 95, 87] from Operation: 84+3=87
Current State: 68:[76, 95, 87], Operations: ['84+3=87']
Exploring Operation: 95-76=19, Resulting Numbers: [87, 19]
Generated Node #3: [87, 19] from Operation: 95-76=19
Current State: 68:[87, 19], Operations: ['84+3=87', '95-76=19']
Exploring Operation: 87-19=68, Resulting Numbers: [68]
68,68 equal: Goal Reached
| 4 |
[
37,
3,
94,
5
] | 12 | [
"37*3=111",
"94+5=99",
"111-99=12"
] | Current State: 12:[37, 3, 94, 5], Operations: []
Exploring Operation: 37*3=111, Resulting Numbers: [94, 5, 111]
Generated Node #2: [94, 5, 111] from Operation: 37*3=111
Current State: 12:[94, 5, 111], Operations: ['37*3=111']
Exploring Operation: 94+5=99, Resulting Numbers: [111, 99]
Generated Node #3: [111, 99] from Operation: 94+5=99
Current State: 12:[111, 99], Operations: ['37*3=111', '94+5=99']
Exploring Operation: 111-99=12, Resulting Numbers: [12]
12,12 equal: Goal Reached
| 4 |
[
41,
92,
48,
70
] | 67 | [
"92-41=51",
"48+70=118",
"118-51=67"
] | Current State: 67:[41, 92, 48, 70], Operations: []
Exploring Operation: 92-41=51, Resulting Numbers: [48, 70, 51]
Generated Node #2: [48, 70, 51] from Operation: 92-41=51
Current State: 67:[48, 70, 51], Operations: ['92-41=51']
Exploring Operation: 48+70=118, Resulting Numbers: [51, 118]
Generated Node #3: [51, 118] from Operation: 48+70=118
Current State: 67:[51, 118], Operations: ['92-41=51', '48+70=118']
Exploring Operation: 118-51=67, Resulting Numbers: [67]
67,67 equal: Goal Reached
| 4 |
[
17,
53,
13,
50
] | 99 | [
"53-17=36",
"13+50=63",
"36+63=99"
] | Current State: 99:[17, 53, 13, 50], Operations: []
Exploring Operation: 53-17=36, Resulting Numbers: [13, 50, 36]
Generated Node #2: [13, 50, 36] from Operation: 53-17=36
Current State: 99:[13, 50, 36], Operations: ['53-17=36']
Exploring Operation: 13+50=63, Resulting Numbers: [36, 63]
Generated Node #3: [36, 63] from Operation: 13+50=63
Current State: 99:[36, 63], Operations: ['53-17=36', '13+50=63']
Exploring Operation: 36+63=99, Resulting Numbers: [99]
99,99 equal: Goal Reached
| 4 |
[
20,
56,
30,
90
] | 62 | [
"30+90=120",
"120/20=6",
"56+6=62"
] | Current State: 62:[20, 56, 30, 90], Operations: []
Exploring Operation: 30+90=120, Resulting Numbers: [20, 56, 120]
Generated Node #2: [20, 56, 120] from Operation: 30+90=120
Current State: 62:[20, 56, 120], Operations: ['30+90=120']
Exploring Operation: 120/20=6, Resulting Numbers: [56, 6]
Generated Node #3: [56, 6] from Operation: 120/20=6
Current State: 62:[56, 6], Operations: ['30+90=120', '120/20=6']
Exploring Operation: 56+6=62, Resulting Numbers: [62]
62,62 equal: Goal Reached
| 4 |
[
14,
86,
81,
14
] | 86 | [
"14-14=0",
"81*0=0",
"86+0=86"
] | Current State: 86:[14, 86, 81, 14], Operations: []
Exploring Operation: 14-14=0, Resulting Numbers: [86, 81, 0]
Generated Node #2: [86, 81, 0] from Operation: 14-14=0
Current State: 86:[86, 81, 0], Operations: ['14-14=0']
Exploring Operation: 81*0=0, Resulting Numbers: [86, 0]
Generated Node #3: [86, 0] from Operation: 81*0=0
Current State: 86:[86, 0], Operations: ['14-14=0', '81*0=0']
Exploring Operation: 86+0=86, Resulting Numbers: [86]
86,86 equal: Goal Reached
| 4 |
[
16,
29,
13,
57
] | 31 | [
"29-16=13",
"57-13=44",
"44-13=31"
] | Current State: 31:[16, 29, 13, 57], Operations: []
Exploring Operation: 29-16=13, Resulting Numbers: [13, 57, 13]
Generated Node #2: [13, 57, 13] from Operation: 29-16=13
Current State: 31:[13, 57, 13], Operations: ['29-16=13']
Exploring Operation: 57-13=44, Resulting Numbers: [44]
44,31 equal: Goal Reached
Exploring Operation: 44-13=31, Resulting Numbers: [31]
31,31 equal: Goal Reached
| 4 |
[
63,
94,
89,
16
] | 84 | [
"63+94=157",
"89-16=73",
"157-73=84"
] | Current State: 84:[63, 94, 89, 16], Operations: []
Exploring Operation: 63+94=157, Resulting Numbers: [89, 16, 157]
Generated Node #2: [89, 16, 157] from Operation: 63+94=157
Current State: 84:[89, 16, 157], Operations: ['63+94=157']
Exploring Operation: 89-16=73, Resulting Numbers: [157, 73]
Generated Node #3: [157, 73] from Operation: 89-16=73
Current State: 84:[157, 73], Operations: ['63+94=157', '89-16=73']
Exploring Operation: 157-73=84, Resulting Numbers: [84]
84,84 equal: Goal Reached
| 4 |
[
65,
50,
62,
75
] | 67 | [
"65-50=15",
"75/15=5",
"62+5=67"
] | Current State: 67:[65, 50, 62, 75], Operations: []
Exploring Operation: 65-50=15, Resulting Numbers: [62, 75, 15]
Generated Node #2: [62, 75, 15] from Operation: 65-50=15
Current State: 67:[62, 75, 15], Operations: ['65-50=15']
Exploring Operation: 75/15=5, Resulting Numbers: [62, 5]
Generated Node #3: [62, 5] from Operation: 75/15=5
Current State: 67:[62, 5], Operations: ['65-50=15', '75/15=5']
Exploring Operation: 62+5=67, Resulting Numbers: [67]
67,67 equal: Goal Reached
| 4 |
[
42,
23,
54,
72
] | 83 | [
"42+23=65",
"72-54=18",
"65+18=83"
] | Current State: 83:[42, 23, 54, 72], Operations: []
Exploring Operation: 42+23=65, Resulting Numbers: [54, 72, 65]
Generated Node #2: [54, 72, 65] from Operation: 42+23=65
Current State: 83:[54, 72, 65], Operations: ['42+23=65']
Exploring Operation: 72-54=18, Resulting Numbers: [65, 18]
Generated Node #3: [65, 18] from Operation: 72-54=18
Current State: 83:[65, 18], Operations: ['42+23=65', '72-54=18']
Exploring Operation: 65+18=83, Resulting Numbers: [83]
83,83 equal: Goal Reached
| 4 |
[
84,
16,
29,
70
] | 59 | [
"84+16=100",
"70-29=41",
"100-41=59"
] | Current State: 59:[84, 16, 29, 70], Operations: []
Exploring Operation: 84+16=100, Resulting Numbers: [29, 70, 100]
Generated Node #2: [29, 70, 100] from Operation: 84+16=100
Current State: 59:[29, 70, 100], Operations: ['84+16=100']
Exploring Operation: 70-29=41, Resulting Numbers: [100, 41]
Generated Node #3: [100, 41] from Operation: 70-29=41
Current State: 59:[100, 41], Operations: ['84+16=100', '70-29=41']
Exploring Operation: 100-41=59, Resulting Numbers: [59]
59,59 equal: Goal Reached
| 4 |
[
86,
29,
58,
40
] | 41 | [
"86-29=57",
"58+40=98",
"98-57=41"
] | Current State: 41:[86, 29, 58, 40], Operations: []
Exploring Operation: 86-29=57, Resulting Numbers: [58, 40, 57]
Generated Node #2: [58, 40, 57] from Operation: 86-29=57
Current State: 41:[58, 40, 57], Operations: ['86-29=57']
Exploring Operation: 58+40=98, Resulting Numbers: [57, 98]
Generated Node #3: [57, 98] from Operation: 58+40=98
Current State: 41:[57, 98], Operations: ['86-29=57', '58+40=98']
Exploring Operation: 98-57=41, Resulting Numbers: [41]
41,41 equal: Goal Reached
| 4 |
[
89,
89,
79,
81
] | 89 | [
"89+89=178",
"81-79=2",
"178/2=89"
] | Current State: 89:[89, 89, 79, 81], Operations: []
Exploring Operation: 89+89=178, Resulting Numbers: [79, 81, 178]
Generated Node #2: [79, 81, 178] from Operation: 89+89=178
Current State: 89:[79, 81, 178], Operations: ['89+89=178']
Exploring Operation: 81-79=2, Resulting Numbers: [178, 2]
Generated Node #3: [178, 2] from Operation: 81-79=2
Current State: 89:[178, 2], Operations: ['89+89=178', '81-79=2']
Exploring Operation: 178/2=89, Resulting Numbers: [89]
89,89 equal: Goal Reached
| 4 |
[
13,
67,
11,
6
] | 79 | [
"13-11=2",
"6*2=12",
"67+12=79"
] | Current State: 79:[13, 67, 11, 6], Operations: []
Exploring Operation: 13-11=2, Resulting Numbers: [67, 6, 2]
Generated Node #2: [67, 6, 2] from Operation: 13-11=2
Current State: 79:[67, 6, 2], Operations: ['13-11=2']
Exploring Operation: 6*2=12, Resulting Numbers: [67, 12]
Generated Node #3: [67, 12] from Operation: 6*2=12
Current State: 79:[67, 12], Operations: ['13-11=2', '6*2=12']
Exploring Operation: 67+12=79, Resulting Numbers: [79]
79,79 equal: Goal Reached
| 4 |
[
22,
52,
4,
10
] | 80 | [
"22+52=74",
"10-4=6",
"74+6=80"
] | Current State: 80:[22, 52, 4, 10], Operations: []
Exploring Operation: 22+52=74, Resulting Numbers: [4, 10, 74]
Generated Node #2: [4, 10, 74] from Operation: 22+52=74
Current State: 80:[4, 10, 74], Operations: ['22+52=74']
Exploring Operation: 10-4=6, Resulting Numbers: [74, 6]
Generated Node #3: [74, 6] from Operation: 10-4=6
Current State: 80:[74, 6], Operations: ['22+52=74', '10-4=6']
Exploring Operation: 74+6=80, Resulting Numbers: [80]
80,80 equal: Goal Reached
| 4 |
[
8,
15,
67,
34
] | 87 | [
"8*15=120",
"67-34=33",
"120-33=87"
] | Current State: 87:[8, 15, 67, 34], Operations: []
Exploring Operation: 8*15=120, Resulting Numbers: [67, 34, 120]
Generated Node #2: [67, 34, 120] from Operation: 8*15=120
Current State: 87:[67, 34, 120], Operations: ['8*15=120']
Exploring Operation: 67-34=33, Resulting Numbers: [120, 33]
Generated Node #3: [120, 33] from Operation: 67-34=33
Current State: 87:[120, 33], Operations: ['8*15=120', '67-34=33']
Exploring Operation: 120-33=87, Resulting Numbers: [87]
87,87 equal: Goal Reached
| 4 |
[
67,
86,
73,
27
] | 65 | [
"86-67=19",
"73-27=46",
"19+46=65"
] | Current State: 65:[67, 86, 73, 27], Operations: []
Exploring Operation: 86-67=19, Resulting Numbers: [73, 27, 19]
Generated Node #2: [73, 27, 19] from Operation: 86-67=19
Current State: 65:[73, 27, 19], Operations: ['86-67=19']
Exploring Operation: 73-27=46, Resulting Numbers: [19, 46]
Generated Node #3: [19, 46] from Operation: 73-27=46
Current State: 65:[19, 46], Operations: ['86-67=19', '73-27=46']
Exploring Operation: 19+46=65, Resulting Numbers: [65]
65,65 equal: Goal Reached
| 4 |
[
30,
38,
19,
84
] | 57 | [
"38-30=8",
"84-19=65",
"65-8=57"
] | Current State: 57:[30, 38, 19, 84], Operations: []
Exploring Operation: 38-30=8, Resulting Numbers: [19, 84, 8]
Generated Node #2: [19, 84, 8] from Operation: 38-30=8
Current State: 57:[19, 84, 8], Operations: ['38-30=8']
Exploring Operation: 84-19=65, Resulting Numbers: [8, 65]
Generated Node #3: [8, 65] from Operation: 84-19=65
Current State: 57:[8, 65], Operations: ['38-30=8', '84-19=65']
Exploring Operation: 65-8=57, Resulting Numbers: [57]
57,57 equal: Goal Reached
| 4 |
[
43,
88,
41,
52
] | 49 | [
"88+41=129",
"129/43=3",
"52-3=49"
] | Current State: 49:[43, 88, 41, 52], Operations: []
Exploring Operation: 88+41=129, Resulting Numbers: [43, 52, 129]
Generated Node #2: [43, 52, 129] from Operation: 88+41=129
Current State: 49:[43, 52, 129], Operations: ['88+41=129']
Exploring Operation: 129/43=3, Resulting Numbers: [52, 3]
Generated Node #3: [52, 3] from Operation: 129/43=3
Current State: 49:[52, 3], Operations: ['88+41=129', '129/43=3']
Exploring Operation: 52-3=49, Resulting Numbers: [49]
49,49 equal: Goal Reached
| 4 |
[
59,
47,
1,
37
] | 25 | [
"59-47=12",
"1*37=37",
"37-12=25"
] | Current State: 25:[59, 47, 1, 37], Operations: []
Exploring Operation: 59-47=12, Resulting Numbers: [1, 37, 12]
Generated Node #2: [1, 37, 12] from Operation: 59-47=12
Current State: 25:[1, 37, 12], Operations: ['59-47=12']
Exploring Operation: 1*37=37, Resulting Numbers: [12, 37]
Generated Node #3: [12, 37] from Operation: 1*37=37
Current State: 25:[12, 37], Operations: ['59-47=12', '1*37=37']
Exploring Operation: 37-12=25, Resulting Numbers: [25]
25,25 equal: Goal Reached
| 4 |
[
84,
6,
23,
34
] | 67 | [
"84-6=78",
"34-23=11",
"78-11=67"
] | Current State: 67:[84, 6, 23, 34], Operations: []
Exploring Operation: 84-6=78, Resulting Numbers: [23, 34, 78]
Generated Node #2: [23, 34, 78] from Operation: 84-6=78
Current State: 67:[23, 34, 78], Operations: ['84-6=78']
Exploring Operation: 34-23=11, Resulting Numbers: [78, 11]
Generated Node #3: [78, 11] from Operation: 34-23=11
Current State: 67:[78, 11], Operations: ['84-6=78', '34-23=11']
Exploring Operation: 78-11=67, Resulting Numbers: [67]
67,67 equal: Goal Reached
| 4 |
[
6,
64,
63,
50
] | 27 | [
"6*63=378",
"64-50=14",
"378/14=27"
] | Current State: 27:[6, 64, 63, 50], Operations: []
Exploring Operation: 6*63=378, Resulting Numbers: [64, 50, 378]
Generated Node #2: [64, 50, 378] from Operation: 6*63=378
Current State: 27:[64, 50, 378], Operations: ['6*63=378']
Exploring Operation: 64-50=14, Resulting Numbers: [378, 14]
Generated Node #3: [378, 14] from Operation: 64-50=14
Current State: 27:[378, 14], Operations: ['6*63=378', '64-50=14']
Exploring Operation: 378/14=27, Resulting Numbers: [27]
27,27 equal: Goal Reached
| 4 |
[
29,
26,
2,
61
] | 10 | [
"61-29=32",
"32/2=16",
"26-16=10"
] | Current State: 10:[29, 26, 2, 61], Operations: []
Exploring Operation: 61-29=32, Resulting Numbers: [26, 2, 32]
Generated Node #2: [26, 2, 32] from Operation: 61-29=32
Current State: 10:[26, 2, 32], Operations: ['61-29=32']
Exploring Operation: 32/2=16, Resulting Numbers: [26, 16]
Generated Node #3: [26, 16] from Operation: 32/2=16
Current State: 10:[26, 16], Operations: ['61-29=32', '32/2=16']
Exploring Operation: 26-16=10, Resulting Numbers: [10]
10,10 equal: Goal Reached
| 4 |
[
40,
20,
98,
24
] | 61 | [
"40/20=2",
"98+24=122",
"122/2=61"
] | Current State: 61:[40, 20, 98, 24], Operations: []
Exploring Operation: 40/20=2, Resulting Numbers: [98, 24, 2]
Generated Node #2: [98, 24, 2] from Operation: 40/20=2
Current State: 61:[98, 24, 2], Operations: ['40/20=2']
Exploring Operation: 98+24=122, Resulting Numbers: [2, 122]
Generated Node #3: [2, 122] from Operation: 98+24=122
Current State: 61:[2, 122], Operations: ['40/20=2', '98+24=122']
Exploring Operation: 122/2=61, Resulting Numbers: [61]
61,61 equal: Goal Reached
| 4 |
[
46,
39,
82,
37
] | 34 | [
"46+39=85",
"82+37=119",
"119-85=34"
] | Current State: 34:[46, 39, 82, 37], Operations: []
Exploring Operation: 46+39=85, Resulting Numbers: [82, 37, 85]
Generated Node #2: [82, 37, 85] from Operation: 46+39=85
Current State: 34:[82, 37, 85], Operations: ['46+39=85']
Exploring Operation: 82+37=119, Resulting Numbers: [85, 119]
Generated Node #3: [85, 119] from Operation: 82+37=119
Current State: 34:[85, 119], Operations: ['46+39=85', '82+37=119']
Exploring Operation: 119-85=34, Resulting Numbers: [34]
34,34 equal: Goal Reached
| 4 |
[
25,
21,
49,
5
] | 33 | [
"25/5=5",
"49-21=28",
"5+28=33"
] | Current State: 33:[25, 21, 49, 5], Operations: []
Exploring Operation: 25/5=5, Resulting Numbers: [21, 49, 5]
Generated Node #2: [21, 49, 5] from Operation: 25/5=5
Current State: 33:[21, 49, 5], Operations: ['25/5=5']
Exploring Operation: 49-21=28, Resulting Numbers: [5, 28]
Generated Node #3: [5, 28] from Operation: 49-21=28
Current State: 33:[5, 28], Operations: ['25/5=5', '49-21=28']
Exploring Operation: 5+28=33, Resulting Numbers: [33]
33,33 equal: Goal Reached
| 4 |
[
84,
50,
51,
93
] | 52 | [
"93-51=42",
"84/42=2",
"50+2=52"
] | Current State: 52:[84, 50, 51, 93], Operations: []
Exploring Operation: 93-51=42, Resulting Numbers: [84, 50, 42]
Generated Node #2: [84, 50, 42] from Operation: 93-51=42
Current State: 52:[84, 50, 42], Operations: ['93-51=42']
Exploring Operation: 84/42=2, Resulting Numbers: [50, 2]
Generated Node #3: [50, 2] from Operation: 84/42=2
Current State: 52:[50, 2], Operations: ['93-51=42', '84/42=2']
Exploring Operation: 50+2=52, Resulting Numbers: [52]
52,52 equal: Goal Reached
| 4 |
[
3,
92,
3,
22
] | 61 | [
"3*3=9",
"92-22=70",
"70-9=61"
] | Current State: 61:[3, 92, 3, 22], Operations: []
Exploring Operation: 3*3=9, Resulting Numbers: [92, 22, 9]
Generated Node #2: [92, 22, 9] from Operation: 3*3=9
Current State: 61:[92, 22, 9], Operations: ['3*3=9']
Exploring Operation: 92-22=70, Resulting Numbers: [9, 70]
Generated Node #3: [9, 70] from Operation: 92-22=70
Current State: 61:[9, 70], Operations: ['3*3=9', '92-22=70']
Exploring Operation: 70-9=61, Resulting Numbers: [61]
61,61 equal: Goal Reached
| 4 |
[
84,
42,
21,
61
] | 63 | [
"84-42=42",
"42/21=2",
"61+2=63"
] | Current State: 63:[84, 42, 21, 61], Operations: []
Exploring Operation: 84-42=42, Resulting Numbers: [21, 61, 42]
Generated Node #2: [21, 61, 42] from Operation: 84-42=42
Current State: 63:[21, 61, 42], Operations: ['84-42=42']
Exploring Operation: 42/21=2, Resulting Numbers: [61, 2]
Generated Node #3: [61, 2] from Operation: 42/21=2
Current State: 63:[61, 2], Operations: ['84-42=42', '42/21=2']
Exploring Operation: 61+2=63, Resulting Numbers: [63]
63,63 equal: Goal Reached
| 4 |
[
45,
34,
30,
23
] | 86 | [
"45+34=79",
"30-23=7",
"79+7=86"
] | Current State: 86:[45, 34, 30, 23], Operations: []
Exploring Operation: 45+34=79, Resulting Numbers: [30, 23, 79]
Generated Node #2: [30, 23, 79] from Operation: 45+34=79
Current State: 86:[30, 23, 79], Operations: ['45+34=79']
Exploring Operation: 30-23=7, Resulting Numbers: [79, 7]
Generated Node #3: [79, 7] from Operation: 30-23=7
Current State: 86:[79, 7], Operations: ['45+34=79', '30-23=7']
Exploring Operation: 79+7=86, Resulting Numbers: [86]
86,86 equal: Goal Reached
| 4 |
[
75,
52,
21,
34
] | 25 | [
"52-21=31",
"34-31=3",
"75/3=25"
] | Current State: 25:[75, 52, 21, 34], Operations: []
Exploring Operation: 52-21=31, Resulting Numbers: [75, 34, 31]
Generated Node #2: [75, 34, 31] from Operation: 52-21=31
Current State: 25:[75, 34, 31], Operations: ['52-21=31']
Exploring Operation: 34-31=3, Resulting Numbers: [75, 3]
Generated Node #3: [75, 3] from Operation: 34-31=3
Current State: 25:[75, 3], Operations: ['52-21=31', '34-31=3']
Exploring Operation: 75/3=25, Resulting Numbers: [25]
25,25 equal: Goal Reached
| 4 |
[
68,
38,
77,
18
] | 65 | [
"68-38=30",
"77+18=95",
"95-30=65"
] | Current State: 65:[68, 38, 77, 18], Operations: []
Exploring Operation: 68-38=30, Resulting Numbers: [77, 18, 30]
Generated Node #2: [77, 18, 30] from Operation: 68-38=30
Current State: 65:[77, 18, 30], Operations: ['68-38=30']
Exploring Operation: 77+18=95, Resulting Numbers: [30, 95]
Generated Node #3: [30, 95] from Operation: 77+18=95
Current State: 65:[30, 95], Operations: ['68-38=30', '77+18=95']
Exploring Operation: 95-30=65, Resulting Numbers: [65]
65,65 equal: Goal Reached
| 4 |
[
22,
53,
35,
20
] | 11 | [
"53-35=18",
"20-18=2",
"22/2=11"
] | Current State: 11:[22, 53, 35, 20], Operations: []
Exploring Operation: 53-35=18, Resulting Numbers: [22, 20, 18]
Generated Node #2: [22, 20, 18] from Operation: 53-35=18
Current State: 11:[22, 20, 18], Operations: ['53-35=18']
Exploring Operation: 20-18=2, Resulting Numbers: [22, 2]
Generated Node #3: [22, 2] from Operation: 20-18=2
Current State: 11:[22, 2], Operations: ['53-35=18', '20-18=2']
Exploring Operation: 22/2=11, Resulting Numbers: [11]
11,11 equal: Goal Reached
| 4 |
[
69,
49,
23,
73
] | 27 | [
"69/23=3",
"73-49=24",
"3+24=27"
] | Current State: 27:[69, 49, 23, 73], Operations: []
Exploring Operation: 69/23=3, Resulting Numbers: [49, 73, 3]
Generated Node #2: [49, 73, 3] from Operation: 69/23=3
Current State: 27:[49, 73, 3], Operations: ['69/23=3']
Exploring Operation: 73-49=24, Resulting Numbers: [3, 24]
Generated Node #3: [3, 24] from Operation: 73-49=24
Current State: 27:[3, 24], Operations: ['69/23=3', '73-49=24']
Exploring Operation: 3+24=27, Resulting Numbers: [27]
27,27 equal: Goal Reached
| 4 |
[
6,
94,
7,
76
] | 73 | [
"7*76=532",
"532-94=438",
"438/6=73"
] | Current State: 73:[6, 94, 7, 76], Operations: []
Exploring Operation: 7*76=532, Resulting Numbers: [6, 94, 532]
Generated Node #2: [6, 94, 532] from Operation: 7*76=532
Current State: 73:[6, 94, 532], Operations: ['7*76=532']
Exploring Operation: 532-94=438, Resulting Numbers: [6, 438]
Generated Node #3: [6, 438] from Operation: 532-94=438
Current State: 73:[6, 438], Operations: ['7*76=532', '532-94=438']
Exploring Operation: 438/6=73, Resulting Numbers: [73]
73,73 equal: Goal Reached
| 4 |
[
66,
38,
8,
60
] | 19 | [
"66-8=58",
"60-58=2",
"38/2=19"
] | Current State: 19:[66, 38, 8, 60], Operations: []
Exploring Operation: 66-8=58, Resulting Numbers: [38, 60, 58]
Generated Node #2: [38, 60, 58] from Operation: 66-8=58
Current State: 19:[38, 60, 58], Operations: ['66-8=58']
Exploring Operation: 60-58=2, Resulting Numbers: [38, 2]
Generated Node #3: [38, 2] from Operation: 60-58=2
Current State: 19:[38, 2], Operations: ['66-8=58', '60-58=2']
Exploring Operation: 38/2=19, Resulting Numbers: [19]
19,19 equal: Goal Reached
| 4 |
[
58,
41,
79,
7
] | 89 | [
"58-41=17",
"79-7=72",
"17+72=89"
] | Current State: 89:[58, 41, 79, 7], Operations: []
Exploring Operation: 58-41=17, Resulting Numbers: [79, 7, 17]
Generated Node #2: [79, 7, 17] from Operation: 58-41=17
Current State: 89:[79, 7, 17], Operations: ['58-41=17']
Exploring Operation: 79-7=72, Resulting Numbers: [17, 72]
Generated Node #3: [17, 72] from Operation: 79-7=72
Current State: 89:[17, 72], Operations: ['58-41=17', '79-7=72']
Exploring Operation: 17+72=89, Resulting Numbers: [89]
89,89 equal: Goal Reached
| 4 |
[
92,
91,
61,
21
] | 83 | [
"92-91=1",
"61+21=82",
"1+82=83"
] | Current State: 83:[92, 91, 61, 21], Operations: []
Exploring Operation: 92-91=1, Resulting Numbers: [61, 21, 1]
Generated Node #2: [61, 21, 1] from Operation: 92-91=1
Current State: 83:[61, 21, 1], Operations: ['92-91=1']
Exploring Operation: 61+21=82, Resulting Numbers: [1, 82]
Generated Node #3: [1, 82] from Operation: 61+21=82
Current State: 83:[1, 82], Operations: ['92-91=1', '61+21=82']
Exploring Operation: 1+82=83, Resulting Numbers: [83]
83,83 equal: Goal Reached
| 4 |
[
6,
9,
36,
31
] | 34 | [
"36/6=6",
"9+31=40",
"40-6=34"
] | Current State: 34:[6, 9, 36, 31], Operations: []
Exploring Operation: 36/6=6, Resulting Numbers: [9, 31, 6]
Generated Node #2: [9, 31, 6] from Operation: 36/6=6
Current State: 34:[9, 31, 6], Operations: ['36/6=6']
Exploring Operation: 9+31=40, Resulting Numbers: [6, 40]
Generated Node #3: [6, 40] from Operation: 9+31=40
Current State: 34:[6, 40], Operations: ['36/6=6', '9+31=40']
Exploring Operation: 40-6=34, Resulting Numbers: [34]
34,34 equal: Goal Reached
| 4 |
[
66,
43,
91,
16
] | 69 | [
"91-43=48",
"48/16=3",
"66+3=69"
] | Current State: 69:[66, 43, 91, 16], Operations: []
Exploring Operation: 91-43=48, Resulting Numbers: [66, 16, 48]
Generated Node #2: [66, 16, 48] from Operation: 91-43=48
Current State: 69:[66, 16, 48], Operations: ['91-43=48']
Exploring Operation: 48/16=3, Resulting Numbers: [66, 3]
Generated Node #3: [66, 3] from Operation: 48/16=3
Current State: 69:[66, 3], Operations: ['91-43=48', '48/16=3']
Exploring Operation: 66+3=69, Resulting Numbers: [69]
69,69 equal: Goal Reached
| 4 |
[
86,
16,
9,
87
] | 24 | [
"86+16=102",
"87-9=78",
"102-78=24"
] | Current State: 24:[86, 16, 9, 87], Operations: []
Exploring Operation: 86+16=102, Resulting Numbers: [9, 87, 102]
Generated Node #2: [9, 87, 102] from Operation: 86+16=102
Current State: 24:[9, 87, 102], Operations: ['86+16=102']
Exploring Operation: 87-9=78, Resulting Numbers: [102, 78]
Generated Node #3: [102, 78] from Operation: 87-9=78
Current State: 24:[102, 78], Operations: ['86+16=102', '87-9=78']
Exploring Operation: 102-78=24, Resulting Numbers: [24]
24,24 equal: Goal Reached
| 4 |
[
64,
9,
90,
69
] | 27 | [
"69-64=5",
"90/5=18",
"9+18=27"
] | Current State: 27:[64, 9, 90, 69], Operations: []
Exploring Operation: 69-64=5, Resulting Numbers: [9, 90, 5]
Generated Node #2: [9, 90, 5] from Operation: 69-64=5
Current State: 27:[9, 90, 5], Operations: ['69-64=5']
Exploring Operation: 90/5=18, Resulting Numbers: [9, 18]
Generated Node #3: [9, 18] from Operation: 90/5=18
Current State: 27:[9, 18], Operations: ['69-64=5', '90/5=18']
Exploring Operation: 9+18=27, Resulting Numbers: [27]
27,27 equal: Goal Reached
| 4 |
[
26,
73,
68,
4
] | 64 | [
"73-26=47",
"68/4=17",
"47+17=64"
] | Current State: 64:[26, 73, 68, 4], Operations: []
Exploring Operation: 73-26=47, Resulting Numbers: [68, 4, 47]
Generated Node #2: [68, 4, 47] from Operation: 73-26=47
Current State: 64:[68, 4, 47], Operations: ['73-26=47']
Exploring Operation: 68/4=17, Resulting Numbers: [47, 17]
Generated Node #3: [47, 17] from Operation: 68/4=17
Current State: 64:[47, 17], Operations: ['73-26=47', '68/4=17']
Exploring Operation: 47+17=64, Resulting Numbers: [64]
64,64 equal: Goal Reached
| 4 |
[
77,
22,
11,
8
] | 34 | [
"77/11=7",
"8*7=56",
"56-22=34"
] | Current State: 34:[77, 22, 11, 8], Operations: []
Exploring Operation: 77/11=7, Resulting Numbers: [22, 8, 7]
Generated Node #2: [22, 8, 7] from Operation: 77/11=7
Current State: 34:[22, 8, 7], Operations: ['77/11=7']
Exploring Operation: 8*7=56, Resulting Numbers: [22, 56]
Generated Node #3: [22, 56] from Operation: 8*7=56
Current State: 34:[22, 56], Operations: ['77/11=7', '8*7=56']
Exploring Operation: 56-22=34, Resulting Numbers: [34]
34,34 equal: Goal Reached
| 4 |
[
33,
88,
95,
55
] | 91 | [
"55-33=22",
"88/22=4",
"95-4=91"
] | Current State: 91:[33, 88, 95, 55], Operations: []
Exploring Operation: 55-33=22, Resulting Numbers: [88, 95, 22]
Generated Node #2: [88, 95, 22] from Operation: 55-33=22
Current State: 91:[88, 95, 22], Operations: ['55-33=22']
Exploring Operation: 88/22=4, Resulting Numbers: [95, 4]
Generated Node #3: [95, 4] from Operation: 88/22=4
Current State: 91:[95, 4], Operations: ['55-33=22', '88/22=4']
Exploring Operation: 95-4=91, Resulting Numbers: [91]
91,91 equal: Goal Reached
| 4 |
[
24,
72,
55,
35
] | 17 | [
"72/24=3",
"55-35=20",
"20-3=17"
] | Current State: 17:[24, 72, 55, 35], Operations: []
Exploring Operation: 72/24=3, Resulting Numbers: [55, 35, 3]
Generated Node #2: [55, 35, 3] from Operation: 72/24=3
Current State: 17:[55, 35, 3], Operations: ['72/24=3']
Exploring Operation: 55-35=20, Resulting Numbers: [3, 20]
Generated Node #3: [3, 20] from Operation: 55-35=20
Current State: 17:[3, 20], Operations: ['72/24=3', '55-35=20']
Exploring Operation: 20-3=17, Resulting Numbers: [17]
17,17 equal: Goal Reached
| 4 |
[
51,
98,
62,
73
] | 14 | [
"51+98=149",
"62+73=135",
"149-135=14"
] | Current State: 14:[51, 98, 62, 73], Operations: []
Exploring Operation: 51+98=149, Resulting Numbers: [62, 73, 149]
Generated Node #2: [62, 73, 149] from Operation: 51+98=149
Current State: 14:[62, 73, 149], Operations: ['51+98=149']
Exploring Operation: 62+73=135, Resulting Numbers: [149, 135]
Generated Node #3: [149, 135] from Operation: 62+73=135
Current State: 14:[149, 135], Operations: ['51+98=149', '62+73=135']
Exploring Operation: 149-135=14, Resulting Numbers: [14]
14,14 equal: Goal Reached
| 4 |
[
4,
35,
51,
68
] | 64 | [
"51-35=16",
"16/4=4",
"68-4=64"
] | Current State: 64:[4, 35, 51, 68], Operations: []
Exploring Operation: 51-35=16, Resulting Numbers: [4, 68, 16]
Generated Node #2: [4, 68, 16] from Operation: 51-35=16
Current State: 64:[4, 68, 16], Operations: ['51-35=16']
Exploring Operation: 16/4=4, Resulting Numbers: [68, 4]
Generated Node #3: [68, 4] from Operation: 16/4=4
Current State: 64:[68, 4], Operations: ['51-35=16', '16/4=4']
Exploring Operation: 68-4=64, Resulting Numbers: [64]
64,64 equal: Goal Reached
| 4 |
[
51,
19,
33,
26
] | 64 | [
"51*33=1683",
"1683-19=1664",
"1664/26=64"
] | Current State: 64:[51, 19, 33, 26], Operations: []
Exploring Operation: 51*33=1683, Resulting Numbers: [19, 26, 1683]
Generated Node #2: [19, 26, 1683] from Operation: 51*33=1683
Current State: 64:[19, 26, 1683], Operations: ['51*33=1683']
Exploring Operation: 1683-19=1664, Resulting Numbers: [26, 1664]
Generated Node #3: [26, 1664] from Operation: 1683-19=1664
Current State: 64:[26, 1664], Operations: ['51*33=1683', '1683-19=1664']
Exploring Operation: 1664/26=64, Resulting Numbers: [64]
64,64 equal: Goal Reached
| 4 |
[
18,
61,
21,
27
] | 91 | [
"61-18=43",
"21+27=48",
"43+48=91"
] | Current State: 91:[18, 61, 21, 27], Operations: []
Exploring Operation: 61-18=43, Resulting Numbers: [21, 27, 43]
Generated Node #2: [21, 27, 43] from Operation: 61-18=43
Current State: 91:[21, 27, 43], Operations: ['61-18=43']
Exploring Operation: 21+27=48, Resulting Numbers: [43, 48]
Generated Node #3: [43, 48] from Operation: 21+27=48
Current State: 91:[43, 48], Operations: ['61-18=43', '21+27=48']
Exploring Operation: 43+48=91, Resulting Numbers: [91]
91,91 equal: Goal Reached
| 4 |
[
11,
45,
57,
55
] | 77 | [
"57-45=12",
"11*12=132",
"132-55=77"
] | Current State: 77:[11, 45, 57, 55], Operations: []
Exploring Operation: 57-45=12, Resulting Numbers: [11, 55, 12]
Generated Node #2: [11, 55, 12] from Operation: 57-45=12
Current State: 77:[11, 55, 12], Operations: ['57-45=12']
Exploring Operation: 11*12=132, Resulting Numbers: [55, 132]
Generated Node #3: [55, 132] from Operation: 11*12=132
Current State: 77:[55, 132], Operations: ['57-45=12', '11*12=132']
Exploring Operation: 132-55=77, Resulting Numbers: [77]
77,77 equal: Goal Reached
| 4 |
[
65,
73,
12,
66
] | 11 | [
"65+12=77",
"73-66=7",
"77/7=11"
] | Current State: 11:[65, 73, 12, 66], Operations: []
Exploring Operation: 65+12=77, Resulting Numbers: [73, 66, 77]
Generated Node #2: [73, 66, 77] from Operation: 65+12=77
Current State: 11:[73, 66, 77], Operations: ['65+12=77']
Exploring Operation: 73-66=7, Resulting Numbers: [77, 7]
Generated Node #3: [77, 7] from Operation: 73-66=7
Current State: 11:[77, 7], Operations: ['65+12=77', '73-66=7']
Exploring Operation: 77/7=11, Resulting Numbers: [11]
11,11 equal: Goal Reached
| 4 |
[
48,
37,
86,
91
] | 92 | [
"48+37=85",
"86+91=177",
"177-85=92"
] | Current State: 92:[48, 37, 86, 91], Operations: []
Exploring Operation: 48+37=85, Resulting Numbers: [86, 91, 85]
Generated Node #2: [86, 91, 85] from Operation: 48+37=85
Current State: 92:[86, 91, 85], Operations: ['48+37=85']
Exploring Operation: 86+91=177, Resulting Numbers: [85, 177]
Generated Node #3: [85, 177] from Operation: 86+91=177
Current State: 92:[85, 177], Operations: ['48+37=85', '86+91=177']
Exploring Operation: 177-85=92, Resulting Numbers: [92]
92,92 equal: Goal Reached
| 4 |
[
74,
12,
7,
99
] | 59 | [
"99-74=25",
"12*7=84",
"84-25=59"
] | Current State: 59:[74, 12, 7, 99], Operations: []
Exploring Operation: 99-74=25, Resulting Numbers: [12, 7, 25]
Generated Node #2: [12, 7, 25] from Operation: 99-74=25
Current State: 59:[12, 7, 25], Operations: ['99-74=25']
Exploring Operation: 12*7=84, Resulting Numbers: [25, 84]
Generated Node #3: [25, 84] from Operation: 12*7=84
Current State: 59:[25, 84], Operations: ['99-74=25', '12*7=84']
Exploring Operation: 84-25=59, Resulting Numbers: [59]
59,59 equal: Goal Reached
| 4 |
[
36,
20,
66,
44
] | 18 | [
"66-20=46",
"46-44=2",
"36/2=18"
] | Current State: 18:[36, 20, 66, 44], Operations: []
Exploring Operation: 66-20=46, Resulting Numbers: [36, 44, 46]
Generated Node #2: [36, 44, 46] from Operation: 66-20=46
Current State: 18:[36, 44, 46], Operations: ['66-20=46']
Exploring Operation: 46-44=2, Resulting Numbers: [36, 2]
Generated Node #3: [36, 2] from Operation: 46-44=2
Current State: 18:[36, 2], Operations: ['66-20=46', '46-44=2']
Exploring Operation: 36/2=18, Resulting Numbers: [18]
18,18 equal: Goal Reached
| 4 |
[
51,
26,
8,
6
] | 75 | [
"51+26=77",
"8-6=2",
"77-2=75"
] | Current State: 75:[51, 26, 8, 6], Operations: []
Exploring Operation: 51+26=77, Resulting Numbers: [8, 6, 77]
Generated Node #2: [8, 6, 77] from Operation: 51+26=77
Current State: 75:[8, 6, 77], Operations: ['51+26=77']
Exploring Operation: 8-6=2, Resulting Numbers: [77, 2]
Generated Node #3: [77, 2] from Operation: 8-6=2
Current State: 75:[77, 2], Operations: ['51+26=77', '8-6=2']
Exploring Operation: 77-2=75, Resulting Numbers: [75]
75,75 equal: Goal Reached
| 4 |
[
37,
9,
69,
48
] | 71 | [
"37+9=46",
"69+48=117",
"117-46=71"
] | Current State: 71:[37, 9, 69, 48], Operations: []
Exploring Operation: 37+9=46, Resulting Numbers: [69, 48, 46]
Generated Node #2: [69, 48, 46] from Operation: 37+9=46
Current State: 71:[69, 48, 46], Operations: ['37+9=46']
Exploring Operation: 69+48=117, Resulting Numbers: [46, 117]
Generated Node #3: [46, 117] from Operation: 69+48=117
Current State: 71:[46, 117], Operations: ['37+9=46', '69+48=117']
Exploring Operation: 117-46=71, Resulting Numbers: [71]
71,71 equal: Goal Reached
| 4 |
[
33,
14,
12,
15
] | 51 | [
"14-12=2",
"33*2=66",
"66-15=51"
] | Current State: 51:[33, 14, 12, 15], Operations: []
Exploring Operation: 14-12=2, Resulting Numbers: [33, 15, 2]
Generated Node #2: [33, 15, 2] from Operation: 14-12=2
Current State: 51:[33, 15, 2], Operations: ['14-12=2']
Exploring Operation: 33*2=66, Resulting Numbers: [15, 66]
Generated Node #3: [15, 66] from Operation: 33*2=66
Current State: 51:[15, 66], Operations: ['14-12=2', '33*2=66']
Exploring Operation: 66-15=51, Resulting Numbers: [51]
51,51 equal: Goal Reached
| 4 |
[
99,
20,
53,
50
] | 82 | [
"99-20=79",
"53-50=3",
"79+3=82"
] | Current State: 82:[99, 20, 53, 50], Operations: []
Exploring Operation: 99-20=79, Resulting Numbers: [53, 50, 79]
Generated Node #2: [53, 50, 79] from Operation: 99-20=79
Current State: 82:[53, 50, 79], Operations: ['99-20=79']
Exploring Operation: 53-50=3, Resulting Numbers: [79, 3]
Generated Node #3: [79, 3] from Operation: 53-50=3
Current State: 82:[79, 3], Operations: ['99-20=79', '53-50=3']
Exploring Operation: 79+3=82, Resulting Numbers: [82]
82,82 equal: Goal Reached
| 4 |
[
50,
55,
53,
75
] | 68 | [
"55-50=5",
"75/5=15",
"53+15=68"
] | Current State: 68:[50, 55, 53, 75], Operations: []
Exploring Operation: 55-50=5, Resulting Numbers: [53, 75, 5]
Generated Node #2: [53, 75, 5] from Operation: 55-50=5
Current State: 68:[53, 75, 5], Operations: ['55-50=5']
Exploring Operation: 75/5=15, Resulting Numbers: [53, 15]
Generated Node #3: [53, 15] from Operation: 75/5=15
Current State: 68:[53, 15], Operations: ['55-50=5', '75/5=15']
Exploring Operation: 53+15=68, Resulting Numbers: [68]
68,68 equal: Goal Reached
| 4 |
[
87,
79,
77,
80
] | 14 | [
"87-80=7",
"79-77=2",
"7*2=14"
] | Current State: 14:[87, 79, 77, 80], Operations: []
Exploring Operation: 87-80=7, Resulting Numbers: [79, 77, 7]
Generated Node #2: [79, 77, 7] from Operation: 87-80=7
Current State: 14:[79, 77, 7], Operations: ['87-80=7']
Exploring Operation: 79-77=2, Resulting Numbers: [7, 2]
Generated Node #3: [7, 2] from Operation: 79-77=2
Current State: 14:[7, 2], Operations: ['87-80=7', '79-77=2']
Exploring Operation: 7*2=14, Resulting Numbers: [14]
14,14 equal: Goal Reached
| 4 |
[
90,
66,
20,
25
] | 48 | [
"25-20=5",
"90/5=18",
"66-18=48"
] | Current State: 48:[90, 66, 20, 25], Operations: []
Exploring Operation: 25-20=5, Resulting Numbers: [90, 66, 5]
Generated Node #2: [90, 66, 5] from Operation: 25-20=5
Current State: 48:[90, 66, 5], Operations: ['25-20=5']
Exploring Operation: 90/5=18, Resulting Numbers: [66, 18]
Generated Node #3: [66, 18] from Operation: 90/5=18
Current State: 48:[66, 18], Operations: ['25-20=5', '90/5=18']
Exploring Operation: 66-18=48, Resulting Numbers: [48]
48,48 equal: Goal Reached
| 4 |
[
13,
2,
5,
67
] | 76 | [
"13+5=18",
"18/2=9",
"67+9=76"
] | Current State: 76:[13, 2, 5, 67], Operations: []
Exploring Operation: 13+5=18, Resulting Numbers: [2, 67, 18]
Generated Node #2: [2, 67, 18] from Operation: 13+5=18
Current State: 76:[2, 67, 18], Operations: ['13+5=18']
Exploring Operation: 18/2=9, Resulting Numbers: [67, 9]
Generated Node #3: [67, 9] from Operation: 18/2=9
Current State: 76:[67, 9], Operations: ['13+5=18', '18/2=9']
Exploring Operation: 67+9=76, Resulting Numbers: [76]
76,76 equal: Goal Reached
| 4 |
[
3,
80,
19,
28
] | 86 | [
"80-3=77",
"28-19=9",
"77+9=86"
] | Current State: 86:[3, 80, 19, 28], Operations: []
Exploring Operation: 80-3=77, Resulting Numbers: [19, 28, 77]
Generated Node #2: [19, 28, 77] from Operation: 80-3=77
Current State: 86:[19, 28, 77], Operations: ['80-3=77']
Exploring Operation: 28-19=9, Resulting Numbers: [77, 9]
Generated Node #3: [77, 9] from Operation: 28-19=9
Current State: 86:[77, 9], Operations: ['80-3=77', '28-19=9']
Exploring Operation: 77+9=86, Resulting Numbers: [86]
86,86 equal: Goal Reached
| 4 |
[
13,
72,
98,
27
] | 54 | [
"98-72=26",
"26/13=2",
"27*2=54"
] | Current State: 54:[13, 72, 98, 27], Operations: []
Exploring Operation: 98-72=26, Resulting Numbers: [13, 27, 26]
Generated Node #2: [13, 27, 26] from Operation: 98-72=26
Current State: 54:[13, 27, 26], Operations: ['98-72=26']
Exploring Operation: 26/13=2, Resulting Numbers: [27, 2]
Generated Node #3: [27, 2] from Operation: 26/13=2
Current State: 54:[27, 2], Operations: ['98-72=26', '26/13=2']
Exploring Operation: 27*2=54, Resulting Numbers: [54]
54,54 equal: Goal Reached
| 4 |
[
88,
21,
49,
9
] | 69 | [
"88+21=109",
"49-9=40",
"109-40=69"
] | Current State: 69:[88, 21, 49, 9], Operations: []
Exploring Operation: 88+21=109, Resulting Numbers: [49, 9, 109]
Generated Node #2: [49, 9, 109] from Operation: 88+21=109
Current State: 69:[49, 9, 109], Operations: ['88+21=109']
Exploring Operation: 49-9=40, Resulting Numbers: [109, 40]
Generated Node #3: [109, 40] from Operation: 49-9=40
Current State: 69:[109, 40], Operations: ['88+21=109', '49-9=40']
Exploring Operation: 109-40=69, Resulting Numbers: [69]
69,69 equal: Goal Reached
| 4 |
[
71,
30,
37,
7
] | 57 | [
"71+30=101",
"37+7=44",
"101-44=57"
] | Current State: 57:[71, 30, 37, 7], Operations: []
Exploring Operation: 71+30=101, Resulting Numbers: [37, 7, 101]
Generated Node #2: [37, 7, 101] from Operation: 71+30=101
Current State: 57:[37, 7, 101], Operations: ['71+30=101']
Exploring Operation: 37+7=44, Resulting Numbers: [101, 44]
Generated Node #3: [101, 44] from Operation: 37+7=44
Current State: 57:[101, 44], Operations: ['71+30=101', '37+7=44']
Exploring Operation: 101-44=57, Resulting Numbers: [57]
57,57 equal: Goal Reached
| 4 |
[
44,
15,
30,
7
] | 52 | [
"44-15=29",
"30-7=23",
"29+23=52"
] | Current State: 52:[44, 15, 30, 7], Operations: []
Exploring Operation: 44-15=29, Resulting Numbers: [30, 7, 29]
Generated Node #2: [30, 7, 29] from Operation: 44-15=29
Current State: 52:[30, 7, 29], Operations: ['44-15=29']
Exploring Operation: 30-7=23, Resulting Numbers: [29, 23]
Generated Node #3: [29, 23] from Operation: 30-7=23
Current State: 52:[29, 23], Operations: ['44-15=29', '30-7=23']
Exploring Operation: 29+23=52, Resulting Numbers: [52]
52,52 equal: Goal Reached
| 4 |
[
32,
39,
19,
91
] | 88 | [
"32-19=13",
"39/13=3",
"91-3=88"
] | Current State: 88:[32, 39, 19, 91], Operations: []
Exploring Operation: 32-19=13, Resulting Numbers: [39, 91, 13]
Generated Node #2: [39, 91, 13] from Operation: 32-19=13
Current State: 88:[39, 91, 13], Operations: ['32-19=13']
Exploring Operation: 39/13=3, Resulting Numbers: [91, 3]
Generated Node #3: [91, 3] from Operation: 39/13=3
Current State: 88:[91, 3], Operations: ['32-19=13', '39/13=3']
Exploring Operation: 91-3=88, Resulting Numbers: [88]
88,88 equal: Goal Reached
| 4 |
[
67,
62,
46,
44
] | 36 | [
"46-44=2",
"62/2=31",
"67-31=36"
] | Current State: 36:[67, 62, 46, 44], Operations: []
Exploring Operation: 46-44=2, Resulting Numbers: [67, 62, 2]
Generated Node #2: [67, 62, 2] from Operation: 46-44=2
Current State: 36:[67, 62, 2], Operations: ['46-44=2']
Exploring Operation: 62/2=31, Resulting Numbers: [67, 31]
Generated Node #3: [67, 31] from Operation: 62/2=31
Current State: 36:[67, 31], Operations: ['46-44=2', '62/2=31']
Exploring Operation: 67-31=36, Resulting Numbers: [36]
36,36 equal: Goal Reached
| 4 |
[
87,
38,
58,
60
] | 78 | [
"58*60=3480",
"3480/87=40",
"38+40=78"
] | Current State: 78:[87, 38, 58, 60], Operations: []
Exploring Operation: 58*60=3480, Resulting Numbers: [87, 38, 3480]
Generated Node #2: [87, 38, 3480] from Operation: 58*60=3480
Current State: 78:[87, 38, 3480], Operations: ['58*60=3480']
Exploring Operation: 3480/87=40, Resulting Numbers: [38, 40]
Generated Node #3: [38, 40] from Operation: 3480/87=40
Current State: 78:[38, 40], Operations: ['58*60=3480', '3480/87=40']
Exploring Operation: 38+40=78, Resulting Numbers: [78]
78,78 equal: Goal Reached
| 4 |
[
41,
53,
43,
35
] | 44 | [
"43-41=2",
"53+35=88",
"88/2=44"
] | Current State: 44:[41, 53, 43, 35], Operations: []
Exploring Operation: 43-41=2, Resulting Numbers: [53, 35, 2]
Generated Node #2: [53, 35, 2] from Operation: 43-41=2
Current State: 44:[53, 35, 2], Operations: ['43-41=2']
Exploring Operation: 53+35=88, Resulting Numbers: [2, 88]
Generated Node #3: [2, 88] from Operation: 53+35=88
Current State: 44:[2, 88], Operations: ['43-41=2', '53+35=88']
Exploring Operation: 88/2=44, Resulting Numbers: [44]
44,44 equal: Goal Reached
| 4 |
[
98,
97,
23,
96
] | 25 | [
"98+96=194",
"194/97=2",
"23+2=25"
] | Current State: 25:[98, 97, 23, 96], Operations: []
Exploring Operation: 98+96=194, Resulting Numbers: [97, 23, 194]
Generated Node #2: [97, 23, 194] from Operation: 98+96=194
Current State: 25:[97, 23, 194], Operations: ['98+96=194']
Exploring Operation: 194/97=2, Resulting Numbers: [23, 2]
Generated Node #3: [23, 2] from Operation: 194/97=2
Current State: 25:[23, 2], Operations: ['98+96=194', '194/97=2']
Exploring Operation: 23+2=25, Resulting Numbers: [25]
25,25 equal: Goal Reached
| 4 |
[
23,
10,
13,
5
] | 15 | [
"23+10=33",
"13+5=18",
"33-18=15"
] | Current State: 15:[23, 10, 13, 5], Operations: []
Exploring Operation: 23+10=33, Resulting Numbers: [13, 5, 33]
Generated Node #2: [13, 5, 33] from Operation: 23+10=33
Current State: 15:[13, 5, 33], Operations: ['23+10=33']
Exploring Operation: 13+5=18, Resulting Numbers: [33, 18]
Generated Node #3: [33, 18] from Operation: 13+5=18
Current State: 15:[33, 18], Operations: ['23+10=33', '13+5=18']
Exploring Operation: 33-18=15, Resulting Numbers: [15]
15,15 equal: Goal Reached
| 4 |
[
15,
71,
43,
59
] | 16 | [
"15+71=86",
"43+59=102",
"102-86=16"
] | Current State: 16:[15, 71, 43, 59], Operations: []
Exploring Operation: 15+71=86, Resulting Numbers: [43, 59, 86]
Generated Node #2: [43, 59, 86] from Operation: 15+71=86
Current State: 16:[43, 59, 86], Operations: ['15+71=86']
Exploring Operation: 43+59=102, Resulting Numbers: [86, 102]
Generated Node #3: [86, 102] from Operation: 43+59=102
Current State: 16:[86, 102], Operations: ['15+71=86', '43+59=102']
Exploring Operation: 102-86=16, Resulting Numbers: [16]
16,16 equal: Goal Reached
| 4 |
[
54,
94,
20,
87
] | 67 | [
"94-54=40",
"20+87=107",
"107-40=67"
] | Current State: 67:[54, 94, 20, 87], Operations: []
Exploring Operation: 94-54=40, Resulting Numbers: [20, 87, 40]
Generated Node #2: [20, 87, 40] from Operation: 94-54=40
Current State: 67:[20, 87, 40], Operations: ['94-54=40']
Exploring Operation: 20+87=107, Resulting Numbers: [40, 107]
Generated Node #3: [40, 107] from Operation: 20+87=107
Current State: 67:[40, 107], Operations: ['94-54=40', '20+87=107']
Exploring Operation: 107-40=67, Resulting Numbers: [67]
67,67 equal: Goal Reached
| 4 |
[
87,
56,
36,
39
] | 44 | [
"87-56=31",
"36+39=75",
"75-31=44"
] | Current State: 44:[87, 56, 36, 39], Operations: []
Exploring Operation: 87-56=31, Resulting Numbers: [36, 39, 31]
Generated Node #2: [36, 39, 31] from Operation: 87-56=31
Current State: 44:[36, 39, 31], Operations: ['87-56=31']
Exploring Operation: 36+39=75, Resulting Numbers: [31, 75]
Generated Node #3: [31, 75] from Operation: 36+39=75
Current State: 44:[31, 75], Operations: ['87-56=31', '36+39=75']
Exploring Operation: 75-31=44, Resulting Numbers: [44]
44,44 equal: Goal Reached
| 4 |
[
4,
2,
17,
58
] | 77 | [
"4-2=2",
"17+58=75",
"2+75=77"
] | Current State: 77:[4, 2, 17, 58], Operations: []
Exploring Operation: 4-2=2, Resulting Numbers: [17, 58, 2]
Generated Node #2: [17, 58, 2] from Operation: 4-2=2
Current State: 77:[17, 58, 2], Operations: ['4-2=2']
Exploring Operation: 17+58=75, Resulting Numbers: [2, 75]
Generated Node #3: [2, 75] from Operation: 17+58=75
Current State: 77:[2, 75], Operations: ['4-2=2', '17+58=75']
Exploring Operation: 2+75=77, Resulting Numbers: [77]
77,77 equal: Goal Reached
| 4 |
[
13,
70,
88,
33
] | 38 | [
"13+70=83",
"88+33=121",
"121-83=38"
] | Current State: 38:[13, 70, 88, 33], Operations: []
Exploring Operation: 13+70=83, Resulting Numbers: [88, 33, 83]
Generated Node #2: [88, 33, 83] from Operation: 13+70=83
Current State: 38:[88, 33, 83], Operations: ['13+70=83']
Exploring Operation: 88+33=121, Resulting Numbers: [83, 121]
Generated Node #3: [83, 121] from Operation: 88+33=121
Current State: 38:[83, 121], Operations: ['13+70=83', '88+33=121']
Exploring Operation: 121-83=38, Resulting Numbers: [38]
38,38 equal: Goal Reached
| 4 |
[
55,
66,
10,
17
] | 29 | [
"66*10=660",
"660/55=12",
"17+12=29"
] | Current State: 29:[55, 66, 10, 17], Operations: []
Exploring Operation: 66*10=660, Resulting Numbers: [55, 17, 660]
Generated Node #2: [55, 17, 660] from Operation: 66*10=660
Current State: 29:[55, 17, 660], Operations: ['66*10=660']
Exploring Operation: 660/55=12, Resulting Numbers: [17, 12]
Generated Node #3: [17, 12] from Operation: 660/55=12
Current State: 29:[17, 12], Operations: ['66*10=660', '660/55=12']
Exploring Operation: 17+12=29, Resulting Numbers: [29]
29,29 equal: Goal Reached
| 4 |
[
12,
22,
20,
72
] | 74 | [
"22-12=10",
"20/10=2",
"72+2=74"
] | Current State: 74:[12, 22, 20, 72], Operations: []
Exploring Operation: 22-12=10, Resulting Numbers: [20, 72, 10]
Generated Node #2: [20, 72, 10] from Operation: 22-12=10
Current State: 74:[20, 72, 10], Operations: ['22-12=10']
Exploring Operation: 20/10=2, Resulting Numbers: [72, 2]
Generated Node #3: [72, 2] from Operation: 20/10=2
Current State: 74:[72, 2], Operations: ['22-12=10', '20/10=2']
Exploring Operation: 72+2=74, Resulting Numbers: [74]
74,74 equal: Goal Reached
| 4 |
[
12,
24,
76,
37
] | 24 | [
"12*76=912",
"24*37=888",
"912-888=24"
] | Current State: 24:[12, 24, 76, 37], Operations: []
Exploring Operation: 12*76=912, Resulting Numbers: [24, 37, 912]
Generated Node #2: [24, 37, 912] from Operation: 12*76=912
Current State: 24:[24, 37, 912], Operations: ['12*76=912']
Exploring Operation: 24*37=888, Resulting Numbers: [912, 888]
Generated Node #3: [912, 888] from Operation: 24*37=888
Current State: 24:[912, 888], Operations: ['12*76=912', '24*37=888']
Exploring Operation: 912-888=24, Resulting Numbers: [24]
24,24 equal: Goal Reached
| 4 |
[
18,
10,
60,
2
] | 64 | [
"18+10=28",
"60-28=32",
"2*32=64"
] | Current State: 64:[18, 10, 60, 2], Operations: []
Exploring Operation: 18+10=28, Resulting Numbers: [60, 2, 28]
Generated Node #2: [60, 2, 28] from Operation: 18+10=28
Current State: 64:[60, 2, 28], Operations: ['18+10=28']
Exploring Operation: 60-28=32, Resulting Numbers: [2, 32]
Generated Node #3: [2, 32] from Operation: 60-28=32
Current State: 64:[2, 32], Operations: ['18+10=28', '60-28=32']
Exploring Operation: 2*32=64, Resulting Numbers: [64]
64,64 equal: Goal Reached
| 4 |
[
60,
93,
92,
39
] | 100 | [
"60+93=153",
"92-39=53",
"153-53=100"
] | Current State: 100:[60, 93, 92, 39], Operations: []
Exploring Operation: 60+93=153, Resulting Numbers: [92, 39, 153]
Generated Node #2: [92, 39, 153] from Operation: 60+93=153
Current State: 100:[92, 39, 153], Operations: ['60+93=153']
Exploring Operation: 92-39=53, Resulting Numbers: [153, 53]
Generated Node #3: [153, 53] from Operation: 92-39=53
Current State: 100:[153, 53], Operations: ['60+93=153', '92-39=53']
Exploring Operation: 153-53=100, Resulting Numbers: [100]
100,100 equal: Goal Reached
| 4 |
[
17,
26,
23,
98
] | 78 | [
"17+26=43",
"23+98=121",
"121-43=78"
] | Current State: 78:[17, 26, 23, 98], Operations: []
Exploring Operation: 17+26=43, Resulting Numbers: [23, 98, 43]
Generated Node #2: [23, 98, 43] from Operation: 17+26=43
Current State: 78:[23, 98, 43], Operations: ['17+26=43']
Exploring Operation: 23+98=121, Resulting Numbers: [43, 121]
Generated Node #3: [43, 121] from Operation: 23+98=121
Current State: 78:[43, 121], Operations: ['17+26=43', '23+98=121']
Exploring Operation: 121-43=78, Resulting Numbers: [78]
78,78 equal: Goal Reached
| 4 |
[
7,
1,
63,
12
] | 81 | [
"7-1=6",
"63+12=75",
"6+75=81"
] | Current State: 81:[7, 1, 63, 12], Operations: []
Exploring Operation: 7-1=6, Resulting Numbers: [63, 12, 6]
Generated Node #2: [63, 12, 6] from Operation: 7-1=6
Current State: 81:[63, 12, 6], Operations: ['7-1=6']
Exploring Operation: 63+12=75, Resulting Numbers: [6, 75]
Generated Node #3: [6, 75] from Operation: 63+12=75
Current State: 81:[6, 75], Operations: ['7-1=6', '63+12=75']
Exploring Operation: 6+75=81, Resulting Numbers: [81]
81,81 equal: Goal Reached
| 4 |
[
5,
84,
22,
27
] | 53 | [
"5*22=110",
"84-27=57",
"110-57=53"
] | Current State: 53:[5, 84, 22, 27], Operations: []
Exploring Operation: 5*22=110, Resulting Numbers: [84, 27, 110]
Generated Node #2: [84, 27, 110] from Operation: 5*22=110
Current State: 53:[84, 27, 110], Operations: ['5*22=110']
Exploring Operation: 84-27=57, Resulting Numbers: [110, 57]
Generated Node #3: [110, 57] from Operation: 84-27=57
Current State: 53:[110, 57], Operations: ['5*22=110', '84-27=57']
Exploring Operation: 110-57=53, Resulting Numbers: [53]
53,53 equal: Goal Reached
| 4 |
[
95,
53,
2,
28
] | 92 | [
"95+53=148",
"2*28=56",
"148-56=92"
] | Current State: 92:[95, 53, 2, 28], Operations: []
Exploring Operation: 95+53=148, Resulting Numbers: [2, 28, 148]
Generated Node #2: [2, 28, 148] from Operation: 95+53=148
Current State: 92:[2, 28, 148], Operations: ['95+53=148']
Exploring Operation: 2*28=56, Resulting Numbers: [148, 56]
Generated Node #3: [148, 56] from Operation: 2*28=56
Current State: 92:[148, 56], Operations: ['95+53=148', '2*28=56']
Exploring Operation: 148-56=92, Resulting Numbers: [92]
92,92 equal: Goal Reached
| 4 |
[
83,
76,
45,
33
] | 81 | [
"83+76=159",
"45+33=78",
"159-78=81"
] | Current State: 81:[83, 76, 45, 33], Operations: []
Exploring Operation: 83+76=159, Resulting Numbers: [45, 33, 159]
Generated Node #2: [45, 33, 159] from Operation: 83+76=159
Current State: 81:[45, 33, 159], Operations: ['83+76=159']
Exploring Operation: 45+33=78, Resulting Numbers: [159, 78]
Generated Node #3: [159, 78] from Operation: 45+33=78
Current State: 81:[159, 78], Operations: ['83+76=159', '45+33=78']
Exploring Operation: 159-78=81, Resulting Numbers: [81]
81,81 equal: Goal Reached
| 4 |
[
1,
70,
36,
41
] | 75 | [
"1*70=70",
"41-36=5",
"70+5=75"
] | Current State: 75:[1, 70, 36, 41], Operations: []
Exploring Operation: 1*70=70, Resulting Numbers: [36, 41, 70]
Generated Node #2: [36, 41, 70] from Operation: 1*70=70
Current State: 75:[36, 41, 70], Operations: ['1*70=70']
Exploring Operation: 41-36=5, Resulting Numbers: [70, 5]
Generated Node #3: [70, 5] from Operation: 41-36=5
Current State: 75:[70, 5], Operations: ['1*70=70', '41-36=5']
Exploring Operation: 70+5=75, Resulting Numbers: [75]
75,75 equal: Goal Reached
| 4 |
[
55,
78,
50,
40
] | 70 | [
"55-50=5",
"40/5=8",
"78-8=70"
] | Current State: 70:[55, 78, 50, 40], Operations: []
Exploring Operation: 55-50=5, Resulting Numbers: [78, 40, 5]
Generated Node #2: [78, 40, 5] from Operation: 55-50=5
Current State: 70:[78, 40, 5], Operations: ['55-50=5']
Exploring Operation: 40/5=8, Resulting Numbers: [78, 8]
Generated Node #3: [78, 8] from Operation: 40/5=8
Current State: 70:[78, 8], Operations: ['55-50=5', '40/5=8']
Exploring Operation: 78-8=70, Resulting Numbers: [70]
70,70 equal: Goal Reached
| 4 |
[
26,
8,
52,
87
] | 93 | [
"52/26=2",
"8+87=95",
"95-2=93"
] | Current State: 93:[26, 8, 52, 87], Operations: []
Exploring Operation: 52/26=2, Resulting Numbers: [8, 87, 2]
Generated Node #2: [8, 87, 2] from Operation: 52/26=2
Current State: 93:[8, 87, 2], Operations: ['52/26=2']
Exploring Operation: 8+87=95, Resulting Numbers: [2, 95]
Generated Node #3: [2, 95] from Operation: 8+87=95
Current State: 93:[2, 95], Operations: ['52/26=2', '8+87=95']
Exploring Operation: 95-2=93, Resulting Numbers: [93]
93,93 equal: Goal Reached
| 4 |
[
60,
79,
64,
2
] | 85 | [
"79-60=19",
"64+2=66",
"19+66=85"
] | Current State: 85:[60, 79, 64, 2], Operations: []
Exploring Operation: 79-60=19, Resulting Numbers: [64, 2, 19]
Generated Node #2: [64, 2, 19] from Operation: 79-60=19
Current State: 85:[64, 2, 19], Operations: ['79-60=19']
Exploring Operation: 64+2=66, Resulting Numbers: [19, 66]
Generated Node #3: [19, 66] from Operation: 64+2=66
Current State: 85:[19, 66], Operations: ['79-60=19', '64+2=66']
Exploring Operation: 19+66=85, Resulting Numbers: [85]
85,85 equal: Goal Reached
| 4 |
[
16,
35,
47,
96
] | 96 | [
"47-35=12",
"16*12=192",
"192-96=96"
] | Current State: 96:[16, 35, 47, 96], Operations: []
Exploring Operation: 47-35=12, Resulting Numbers: [16, 96, 12]
Generated Node #2: [16, 96, 12] from Operation: 47-35=12
Current State: 96:[16, 96, 12], Operations: ['47-35=12']
Exploring Operation: 16*12=192, Resulting Numbers: [96, 192]
Generated Node #3: [96, 192] from Operation: 16*12=192
Current State: 96:[96, 192], Operations: ['47-35=12', '16*12=192']
Exploring Operation: 192-96=96, Resulting Numbers: [96]
96,96 equal: Goal Reached
| 4 |
[
19,
46,
7,
10
] | 63 | [
"46*10=460",
"460-19=441",
"441/7=63"
] | Current State: 63:[19, 46, 7, 10], Operations: []
Exploring Operation: 46*10=460, Resulting Numbers: [19, 7, 460]
Generated Node #2: [19, 7, 460] from Operation: 46*10=460
Current State: 63:[19, 7, 460], Operations: ['46*10=460']
Exploring Operation: 460-19=441, Resulting Numbers: [7, 441]
Generated Node #3: [7, 441] from Operation: 460-19=441
Current State: 63:[7, 441], Operations: ['46*10=460', '460-19=441']
Exploring Operation: 441/7=63, Resulting Numbers: [63]
63,63 equal: Goal Reached
| 4 |
[
92,
63,
32,
96
] | 99 | [
"92-63=29",
"32+96=128",
"128-29=99"
] | Current State: 99:[92, 63, 32, 96], Operations: []
Exploring Operation: 92-63=29, Resulting Numbers: [32, 96, 29]
Generated Node #2: [32, 96, 29] from Operation: 92-63=29
Current State: 99:[32, 96, 29], Operations: ['92-63=29']
Exploring Operation: 32+96=128, Resulting Numbers: [29, 128]
Generated Node #3: [29, 128] from Operation: 32+96=128
Current State: 99:[29, 128], Operations: ['92-63=29', '32+96=128']
Exploring Operation: 128-29=99, Resulting Numbers: [99]
99,99 equal: Goal Reached
| 4 |
[
48,
16,
42,
66
] | 56 | [
"48-16=32",
"66-42=24",
"32+24=56"
] | Current State: 56:[48, 16, 42, 66], Operations: []
Exploring Operation: 48-16=32, Resulting Numbers: [42, 66, 32]
Generated Node #2: [42, 66, 32] from Operation: 48-16=32
Current State: 56:[42, 66, 32], Operations: ['48-16=32']
Exploring Operation: 66-42=24, Resulting Numbers: [32, 24]
Generated Node #3: [32, 24] from Operation: 66-42=24
Current State: 56:[32, 24], Operations: ['48-16=32', '66-42=24']
Exploring Operation: 32+24=56, Resulting Numbers: [56]
56,56 equal: Goal Reached
| 4 |
[
10,
51,
8,
57
] | 32 | [
"10+51=61",
"61-57=4",
"8*4=32"
] | Current State: 32:[10, 51, 8, 57], Operations: []
Exploring Operation: 10+51=61, Resulting Numbers: [8, 57, 61]
Generated Node #2: [8, 57, 61] from Operation: 10+51=61
Current State: 32:[8, 57, 61], Operations: ['10+51=61']
Exploring Operation: 61-57=4, Resulting Numbers: [8, 4]
Generated Node #3: [8, 4] from Operation: 61-57=4
Current State: 32:[8, 4], Operations: ['10+51=61', '61-57=4']
Exploring Operation: 8*4=32, Resulting Numbers: [32]
32,32 equal: Goal Reached
| 4 |
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