nums listlengths 4 4 | target int64 10 100 | solution listlengths 3 3 | optimal_path stringlengths 282 529 | start_size int64 4 4 |
|---|---|---|---|---|
[
98,
48,
20,
73
] | 18 | [
"98+48=146",
"146/73=2",
"20-2=18"
] | Current State: 18:[98, 48, 20, 73], Operations: []
Exploring Operation: 98+48=146, Resulting Numbers: [20, 73, 146]
Generated Node #2: [20, 73, 146] from Operation: 98+48=146
Current State: 18:[20, 73, 146], Operations: ['98+48=146']
Exploring Operation: 146/73=2, Resulting Numbers: [20, 2]
Generated Node #3: [20, 2] from Operation: 146/73=2
Current State: 18:[20, 2], Operations: ['98+48=146', '146/73=2']
Exploring Operation: 20-2=18, Resulting Numbers: [18]
18,18 equal: Goal Reached
| 4 |
[
73,
19,
52,
82
] | 24 | [
"73-19=54",
"82-52=30",
"54-30=24"
] | Current State: 24:[73, 19, 52, 82], Operations: []
Exploring Operation: 73-19=54, Resulting Numbers: [52, 82, 54]
Generated Node #2: [52, 82, 54] from Operation: 73-19=54
Current State: 24:[52, 82, 54], Operations: ['73-19=54']
Exploring Operation: 82-52=30, Resulting Numbers: [54, 30]
Generated Node #3: [54, 30] from Operation: 82-52=30
Current State: 24:[54, 30], Operations: ['73-19=54', '82-52=30']
Exploring Operation: 54-30=24, Resulting Numbers: [24]
24,24 equal: Goal Reached
| 4 |
[
6,
94,
53,
64
] | 66 | [
"53-6=47",
"94/47=2",
"64+2=66"
] | Current State: 66:[6, 94, 53, 64], Operations: []
Exploring Operation: 53-6=47, Resulting Numbers: [94, 64, 47]
Generated Node #2: [94, 64, 47] from Operation: 53-6=47
Current State: 66:[94, 64, 47], Operations: ['53-6=47']
Exploring Operation: 94/47=2, Resulting Numbers: [64, 2]
Generated Node #3: [64, 2] from Operation: 94/47=2
Current State: 66:[64, 2], Operations: ['53-6=47', '94/47=2']
Exploring Operation: 64+2=66, Resulting Numbers: [66]
66,66 equal: Goal Reached
| 4 |
[
31,
68,
29,
45
] | 21 | [
"68-31=37",
"45-29=16",
"37-16=21"
] | Current State: 21:[31, 68, 29, 45], Operations: []
Exploring Operation: 68-31=37, Resulting Numbers: [29, 45, 37]
Generated Node #2: [29, 45, 37] from Operation: 68-31=37
Current State: 21:[29, 45, 37], Operations: ['68-31=37']
Exploring Operation: 45-29=16, Resulting Numbers: [37, 16]
Generated Node #3: [37, 16] from Operation: 45-29=16
Current State: 21:[37, 16], Operations: ['68-31=37', '45-29=16']
Exploring Operation: 37-16=21, Resulting Numbers: [21]
21,21 equal: Goal Reached
| 4 |
[
75,
69,
55,
37
] | 100 | [
"55+37=92",
"75*92=6900",
"6900/69=100"
] | Current State: 100:[75, 69, 55, 37], Operations: []
Exploring Operation: 55+37=92, Resulting Numbers: [75, 69, 92]
Generated Node #2: [75, 69, 92] from Operation: 55+37=92
Current State: 100:[75, 69, 92], Operations: ['55+37=92']
Exploring Operation: 75*92=6900, Resulting Numbers: [69, 6900]
Generated Node #3: [69, 6900] from Operation: 75*92=6900
Current State: 100:[69, 6900], Operations: ['55+37=92', '75*92=6900']
Exploring Operation: 6900/69=100, Resulting Numbers: [100]
100,100 equal: Goal Reached
| 4 |
[
68,
71,
50,
15
] | 62 | [
"71-68=3",
"50+15=65",
"65-3=62"
] | Current State: 62:[68, 71, 50, 15], Operations: []
Exploring Operation: 71-68=3, Resulting Numbers: [50, 15, 3]
Generated Node #2: [50, 15, 3] from Operation: 71-68=3
Current State: 62:[50, 15, 3], Operations: ['71-68=3']
Exploring Operation: 50+15=65, Resulting Numbers: [3, 65]
Generated Node #3: [3, 65] from Operation: 50+15=65
Current State: 62:[3, 65], Operations: ['71-68=3', '50+15=65']
Exploring Operation: 65-3=62, Resulting Numbers: [62]
62,62 equal: Goal Reached
| 4 |
[
11,
15,
3,
32
] | 48 | [
"11+32=43",
"15/3=5",
"43+5=48"
] | Current State: 48:[11, 15, 3, 32], Operations: []
Exploring Operation: 11+32=43, Resulting Numbers: [15, 3, 43]
Generated Node #2: [15, 3, 43] from Operation: 11+32=43
Current State: 48:[15, 3, 43], Operations: ['11+32=43']
Exploring Operation: 15/3=5, Resulting Numbers: [43, 5]
Generated Node #3: [43, 5] from Operation: 15/3=5
Current State: 48:[43, 5], Operations: ['11+32=43', '15/3=5']
Exploring Operation: 43+5=48, Resulting Numbers: [48]
48,48 equal: Goal Reached
| 4 |
[
17,
24,
33,
37
] | 79 | [
"37-33=4",
"24*4=96",
"96-17=79"
] | Current State: 79:[17, 24, 33, 37], Operations: []
Exploring Operation: 37-33=4, Resulting Numbers: [17, 24, 4]
Generated Node #2: [17, 24, 4] from Operation: 37-33=4
Current State: 79:[17, 24, 4], Operations: ['37-33=4']
Exploring Operation: 24*4=96, Resulting Numbers: [17, 96]
Generated Node #3: [17, 96] from Operation: 24*4=96
Current State: 79:[17, 96], Operations: ['37-33=4', '24*4=96']
Exploring Operation: 96-17=79, Resulting Numbers: [79]
79,79 equal: Goal Reached
| 4 |
[
25,
85,
70,
21
] | 61 | [
"25+85=110",
"70-21=49",
"110-49=61"
] | Current State: 61:[25, 85, 70, 21], Operations: []
Exploring Operation: 25+85=110, Resulting Numbers: [70, 21, 110]
Generated Node #2: [70, 21, 110] from Operation: 25+85=110
Current State: 61:[70, 21, 110], Operations: ['25+85=110']
Exploring Operation: 70-21=49, Resulting Numbers: [110, 49]
Generated Node #3: [110, 49] from Operation: 70-21=49
Current State: 61:[110, 49], Operations: ['25+85=110', '70-21=49']
Exploring Operation: 110-49=61, Resulting Numbers: [61]
61,61 equal: Goal Reached
| 4 |
[
33,
65,
14,
7
] | 64 | [
"65-33=32",
"14/7=2",
"32*2=64"
] | Current State: 64:[33, 65, 14, 7], Operations: []
Exploring Operation: 65-33=32, Resulting Numbers: [14, 7, 32]
Generated Node #2: [14, 7, 32] from Operation: 65-33=32
Current State: 64:[14, 7, 32], Operations: ['65-33=32']
Exploring Operation: 14/7=2, Resulting Numbers: [32, 2]
Generated Node #3: [32, 2] from Operation: 14/7=2
Current State: 64:[32, 2], Operations: ['65-33=32', '14/7=2']
Exploring Operation: 32*2=64, Resulting Numbers: [64]
64,64 equal: Goal Reached
| 4 |
[
30,
17,
33,
50
] | 96 | [
"30-17=13",
"33+50=83",
"13+83=96"
] | Current State: 96:[30, 17, 33, 50], Operations: []
Exploring Operation: 30-17=13, Resulting Numbers: [33, 50, 13]
Generated Node #2: [33, 50, 13] from Operation: 30-17=13
Current State: 96:[33, 50, 13], Operations: ['30-17=13']
Exploring Operation: 33+50=83, Resulting Numbers: [13, 83]
Generated Node #3: [13, 83] from Operation: 33+50=83
Current State: 96:[13, 83], Operations: ['30-17=13', '33+50=83']
Exploring Operation: 13+83=96, Resulting Numbers: [96]
96,96 equal: Goal Reached
| 4 |
[
81,
30,
79,
57
] | 42 | [
"81-79=2",
"30/2=15",
"57-15=42"
] | Current State: 42:[81, 30, 79, 57], Operations: []
Exploring Operation: 81-79=2, Resulting Numbers: [30, 57, 2]
Generated Node #2: [30, 57, 2] from Operation: 81-79=2
Current State: 42:[30, 57, 2], Operations: ['81-79=2']
Exploring Operation: 30/2=15, Resulting Numbers: [57, 15]
Generated Node #3: [57, 15] from Operation: 30/2=15
Current State: 42:[57, 15], Operations: ['81-79=2', '30/2=15']
Exploring Operation: 57-15=42, Resulting Numbers: [42]
42,42 equal: Goal Reached
| 4 |
[
48,
24,
40,
35
] | 10 | [
"48/24=2",
"40-35=5",
"2*5=10"
] | Current State: 10:[48, 24, 40, 35], Operations: []
Exploring Operation: 48/24=2, Resulting Numbers: [40, 35, 2]
Generated Node #2: [40, 35, 2] from Operation: 48/24=2
Current State: 10:[40, 35, 2], Operations: ['48/24=2']
Exploring Operation: 40-35=5, Resulting Numbers: [2, 5]
Generated Node #3: [2, 5] from Operation: 40-35=5
Current State: 10:[2, 5], Operations: ['48/24=2', '40-35=5']
Exploring Operation: 2*5=10, Resulting Numbers: [10]
10,10 equal: Goal Reached
| 4 |
[
41,
41,
40,
94
] | 28 | [
"41+41=82",
"94-40=54",
"82-54=28"
] | Current State: 28:[41, 41, 40, 94], Operations: []
Exploring Operation: 41+41=82, Resulting Numbers: [40, 94, 82]
Generated Node #2: [40, 94, 82] from Operation: 41+41=82
Current State: 28:[40, 94, 82], Operations: ['41+41=82']
Exploring Operation: 94-40=54, Resulting Numbers: [82, 54]
Generated Node #3: [82, 54] from Operation: 94-40=54
Current State: 28:[82, 54], Operations: ['41+41=82', '94-40=54']
Exploring Operation: 82-54=28, Resulting Numbers: [28]
28,28 equal: Goal Reached
| 4 |
[
20,
96,
98,
97
] | 57 | [
"98-96=2",
"20*2=40",
"97-40=57"
] | Current State: 57:[20, 96, 98, 97], Operations: []
Exploring Operation: 98-96=2, Resulting Numbers: [20, 97, 2]
Generated Node #2: [20, 97, 2] from Operation: 98-96=2
Current State: 57:[20, 97, 2], Operations: ['98-96=2']
Exploring Operation: 20*2=40, Resulting Numbers: [97, 40]
Generated Node #3: [97, 40] from Operation: 20*2=40
Current State: 57:[97, 40], Operations: ['98-96=2', '20*2=40']
Exploring Operation: 97-40=57, Resulting Numbers: [57]
57,57 equal: Goal Reached
| 4 |
[
44,
14,
61,
57
] | 26 | [
"44-14=30",
"61-57=4",
"30-4=26"
] | Current State: 26:[44, 14, 61, 57], Operations: []
Exploring Operation: 44-14=30, Resulting Numbers: [61, 57, 30]
Generated Node #2: [61, 57, 30] from Operation: 44-14=30
Current State: 26:[61, 57, 30], Operations: ['44-14=30']
Exploring Operation: 61-57=4, Resulting Numbers: [30, 4]
Generated Node #3: [30, 4] from Operation: 61-57=4
Current State: 26:[30, 4], Operations: ['44-14=30', '61-57=4']
Exploring Operation: 30-4=26, Resulting Numbers: [26]
26,26 equal: Goal Reached
| 4 |
[
14,
51,
65,
47
] | 83 | [
"14+51=65",
"65-47=18",
"65+18=83"
] | Current State: 83:[14, 51, 65, 47], Operations: []
Exploring Operation: 14+51=65, Resulting Numbers: [65, 47, 65]
Generated Node #2: [65, 47, 65] from Operation: 14+51=65
Current State: 83:[65, 47, 65], Operations: ['14+51=65']
Exploring Operation: 65-47=18, Resulting Numbers: [18]
18,83 equal: Goal Reached
Exploring Operation: 65+18=83, Resulting Numbers: [83]
83,83 equal: Goal Reached
| 4 |
[
84,
46,
49,
66
] | 62 | [
"49-46=3",
"66/3=22",
"84-22=62"
] | Current State: 62:[84, 46, 49, 66], Operations: []
Exploring Operation: 49-46=3, Resulting Numbers: [84, 66, 3]
Generated Node #2: [84, 66, 3] from Operation: 49-46=3
Current State: 62:[84, 66, 3], Operations: ['49-46=3']
Exploring Operation: 66/3=22, Resulting Numbers: [84, 22]
Generated Node #3: [84, 22] from Operation: 66/3=22
Current State: 62:[84, 22], Operations: ['49-46=3', '66/3=22']
Exploring Operation: 84-22=62, Resulting Numbers: [62]
62,62 equal: Goal Reached
| 4 |
[
15,
76,
11,
84
] | 96 | [
"15*76=1140",
"1140-84=1056",
"1056/11=96"
] | Current State: 96:[15, 76, 11, 84], Operations: []
Exploring Operation: 15*76=1140, Resulting Numbers: [11, 84, 1140]
Generated Node #2: [11, 84, 1140] from Operation: 15*76=1140
Current State: 96:[11, 84, 1140], Operations: ['15*76=1140']
Exploring Operation: 1140-84=1056, Resulting Numbers: [11, 1056]
Generated Node #3: [11, 1056] from Operation: 1140-84=1056
Current State: 96:[11, 1056], Operations: ['15*76=1140', '1140-84=1056']
Exploring Operation: 1056/11=96, Resulting Numbers: [96]
96,96 equal: Goal Reached
| 4 |
[
10,
54,
96,
68
] | 92 | [
"10+54=64",
"96-68=28",
"64+28=92"
] | Current State: 92:[10, 54, 96, 68], Operations: []
Exploring Operation: 10+54=64, Resulting Numbers: [96, 68, 64]
Generated Node #2: [96, 68, 64] from Operation: 10+54=64
Current State: 92:[96, 68, 64], Operations: ['10+54=64']
Exploring Operation: 96-68=28, Resulting Numbers: [64, 28]
Generated Node #3: [64, 28] from Operation: 96-68=28
Current State: 92:[64, 28], Operations: ['10+54=64', '96-68=28']
Exploring Operation: 64+28=92, Resulting Numbers: [92]
92,92 equal: Goal Reached
| 4 |
[
87,
21,
15,
85
] | 57 | [
"87-85=2",
"21*2=42",
"15+42=57"
] | Current State: 57:[87, 21, 15, 85], Operations: []
Exploring Operation: 87-85=2, Resulting Numbers: [21, 15, 2]
Generated Node #2: [21, 15, 2] from Operation: 87-85=2
Current State: 57:[21, 15, 2], Operations: ['87-85=2']
Exploring Operation: 21*2=42, Resulting Numbers: [15, 42]
Generated Node #3: [15, 42] from Operation: 21*2=42
Current State: 57:[15, 42], Operations: ['87-85=2', '21*2=42']
Exploring Operation: 15+42=57, Resulting Numbers: [57]
57,57 equal: Goal Reached
| 4 |
[
67,
17,
91,
74
] | 81 | [
"67+17=84",
"91+74=165",
"165-84=81"
] | Current State: 81:[67, 17, 91, 74], Operations: []
Exploring Operation: 67+17=84, Resulting Numbers: [91, 74, 84]
Generated Node #2: [91, 74, 84] from Operation: 67+17=84
Current State: 81:[91, 74, 84], Operations: ['67+17=84']
Exploring Operation: 91+74=165, Resulting Numbers: [84, 165]
Generated Node #3: [84, 165] from Operation: 91+74=165
Current State: 81:[84, 165], Operations: ['67+17=84', '91+74=165']
Exploring Operation: 165-84=81, Resulting Numbers: [81]
81,81 equal: Goal Reached
| 4 |
[
4,
81,
58,
76
] | 95 | [
"81-4=77",
"76-58=18",
"77+18=95"
] | Current State: 95:[4, 81, 58, 76], Operations: []
Exploring Operation: 81-4=77, Resulting Numbers: [58, 76, 77]
Generated Node #2: [58, 76, 77] from Operation: 81-4=77
Current State: 95:[58, 76, 77], Operations: ['81-4=77']
Exploring Operation: 76-58=18, Resulting Numbers: [77, 18]
Generated Node #3: [77, 18] from Operation: 76-58=18
Current State: 95:[77, 18], Operations: ['81-4=77', '76-58=18']
Exploring Operation: 77+18=95, Resulting Numbers: [95]
95,95 equal: Goal Reached
| 4 |
[
42,
3,
25,
22
] | 49 | [
"42-25=17",
"3*22=66",
"66-17=49"
] | Current State: 49:[42, 3, 25, 22], Operations: []
Exploring Operation: 42-25=17, Resulting Numbers: [3, 22, 17]
Generated Node #2: [3, 22, 17] from Operation: 42-25=17
Current State: 49:[3, 22, 17], Operations: ['42-25=17']
Exploring Operation: 3*22=66, Resulting Numbers: [17, 66]
Generated Node #3: [17, 66] from Operation: 3*22=66
Current State: 49:[17, 66], Operations: ['42-25=17', '3*22=66']
Exploring Operation: 66-17=49, Resulting Numbers: [49]
49,49 equal: Goal Reached
| 4 |
[
56,
53,
15,
18
] | 76 | [
"56+53=109",
"15+18=33",
"109-33=76"
] | Current State: 76:[56, 53, 15, 18], Operations: []
Exploring Operation: 56+53=109, Resulting Numbers: [15, 18, 109]
Generated Node #2: [15, 18, 109] from Operation: 56+53=109
Current State: 76:[15, 18, 109], Operations: ['56+53=109']
Exploring Operation: 15+18=33, Resulting Numbers: [109, 33]
Generated Node #3: [109, 33] from Operation: 15+18=33
Current State: 76:[109, 33], Operations: ['56+53=109', '15+18=33']
Exploring Operation: 109-33=76, Resulting Numbers: [76]
76,76 equal: Goal Reached
| 4 |
[
37,
27,
43,
90
] | 69 | [
"37+27=64",
"43+90=133",
"133-64=69"
] | Current State: 69:[37, 27, 43, 90], Operations: []
Exploring Operation: 37+27=64, Resulting Numbers: [43, 90, 64]
Generated Node #2: [43, 90, 64] from Operation: 37+27=64
Current State: 69:[43, 90, 64], Operations: ['37+27=64']
Exploring Operation: 43+90=133, Resulting Numbers: [64, 133]
Generated Node #3: [64, 133] from Operation: 43+90=133
Current State: 69:[64, 133], Operations: ['37+27=64', '43+90=133']
Exploring Operation: 133-64=69, Resulting Numbers: [69]
69,69 equal: Goal Reached
| 4 |
[
27,
62,
30,
79
] | 47 | [
"30-27=3",
"62+79=141",
"141/3=47"
] | Current State: 47:[27, 62, 30, 79], Operations: []
Exploring Operation: 30-27=3, Resulting Numbers: [62, 79, 3]
Generated Node #2: [62, 79, 3] from Operation: 30-27=3
Current State: 47:[62, 79, 3], Operations: ['30-27=3']
Exploring Operation: 62+79=141, Resulting Numbers: [3, 141]
Generated Node #3: [3, 141] from Operation: 62+79=141
Current State: 47:[3, 141], Operations: ['30-27=3', '62+79=141']
Exploring Operation: 141/3=47, Resulting Numbers: [47]
47,47 equal: Goal Reached
| 4 |
[
56,
10,
43,
62
] | 27 | [
"56-10=46",
"62-43=19",
"46-19=27"
] | Current State: 27:[56, 10, 43, 62], Operations: []
Exploring Operation: 56-10=46, Resulting Numbers: [43, 62, 46]
Generated Node #2: [43, 62, 46] from Operation: 56-10=46
Current State: 27:[43, 62, 46], Operations: ['56-10=46']
Exploring Operation: 62-43=19, Resulting Numbers: [46, 19]
Generated Node #3: [46, 19] from Operation: 62-43=19
Current State: 27:[46, 19], Operations: ['56-10=46', '62-43=19']
Exploring Operation: 46-19=27, Resulting Numbers: [27]
27,27 equal: Goal Reached
| 4 |
[
18,
6,
9,
64
] | 61 | [
"18-6=12",
"9+64=73",
"73-12=61"
] | Current State: 61:[18, 6, 9, 64], Operations: []
Exploring Operation: 18-6=12, Resulting Numbers: [9, 64, 12]
Generated Node #2: [9, 64, 12] from Operation: 18-6=12
Current State: 61:[9, 64, 12], Operations: ['18-6=12']
Exploring Operation: 9+64=73, Resulting Numbers: [12, 73]
Generated Node #3: [12, 73] from Operation: 9+64=73
Current State: 61:[12, 73], Operations: ['18-6=12', '9+64=73']
Exploring Operation: 73-12=61, Resulting Numbers: [61]
61,61 equal: Goal Reached
| 4 |
[
5,
85,
76,
57
] | 36 | [
"85/5=17",
"76-57=19",
"17+19=36"
] | Current State: 36:[5, 85, 76, 57], Operations: []
Exploring Operation: 85/5=17, Resulting Numbers: [76, 57, 17]
Generated Node #2: [76, 57, 17] from Operation: 85/5=17
Current State: 36:[76, 57, 17], Operations: ['85/5=17']
Exploring Operation: 76-57=19, Resulting Numbers: [17, 19]
Generated Node #3: [17, 19] from Operation: 76-57=19
Current State: 36:[17, 19], Operations: ['85/5=17', '76-57=19']
Exploring Operation: 17+19=36, Resulting Numbers: [36]
36,36 equal: Goal Reached
| 4 |
[
76,
4,
44,
59
] | 23 | [
"76+4=80",
"44+59=103",
"103-80=23"
] | Current State: 23:[76, 4, 44, 59], Operations: []
Exploring Operation: 76+4=80, Resulting Numbers: [44, 59, 80]
Generated Node #2: [44, 59, 80] from Operation: 76+4=80
Current State: 23:[44, 59, 80], Operations: ['76+4=80']
Exploring Operation: 44+59=103, Resulting Numbers: [80, 103]
Generated Node #3: [80, 103] from Operation: 44+59=103
Current State: 23:[80, 103], Operations: ['76+4=80', '44+59=103']
Exploring Operation: 103-80=23, Resulting Numbers: [23]
23,23 equal: Goal Reached
| 4 |
[
9,
84,
6,
75
] | 98 | [
"9+75=84",
"84/6=14",
"84+14=98"
] | Current State: 98:[9, 84, 6, 75], Operations: []
Exploring Operation: 9+75=84, Resulting Numbers: [84, 6, 84]
Generated Node #2: [84, 6, 84] from Operation: 9+75=84
Current State: 98:[84, 6, 84], Operations: ['9+75=84']
Exploring Operation: 84/6=14, Resulting Numbers: [14]
14,98 equal: Goal Reached
Exploring Operation: 84+14=98, Resulting Numbers: [98]
98,98 equal: Goal Reached
| 4 |
[
65,
81,
18,
53
] | 54 | [
"65-53=12",
"81*12=972",
"972/18=54"
] | Current State: 54:[65, 81, 18, 53], Operations: []
Exploring Operation: 65-53=12, Resulting Numbers: [81, 18, 12]
Generated Node #2: [81, 18, 12] from Operation: 65-53=12
Current State: 54:[81, 18, 12], Operations: ['65-53=12']
Exploring Operation: 81*12=972, Resulting Numbers: [18, 972]
Generated Node #3: [18, 972] from Operation: 81*12=972
Current State: 54:[18, 972], Operations: ['65-53=12', '81*12=972']
Exploring Operation: 972/18=54, Resulting Numbers: [54]
54,54 equal: Goal Reached
| 4 |
[
85,
67,
34,
38
] | 30 | [
"85+67=152",
"152/38=4",
"34-4=30"
] | Current State: 30:[85, 67, 34, 38], Operations: []
Exploring Operation: 85+67=152, Resulting Numbers: [34, 38, 152]
Generated Node #2: [34, 38, 152] from Operation: 85+67=152
Current State: 30:[34, 38, 152], Operations: ['85+67=152']
Exploring Operation: 152/38=4, Resulting Numbers: [34, 4]
Generated Node #3: [34, 4] from Operation: 152/38=4
Current State: 30:[34, 4], Operations: ['85+67=152', '152/38=4']
Exploring Operation: 34-4=30, Resulting Numbers: [30]
30,30 equal: Goal Reached
| 4 |
[
26,
69,
57,
35
] | 49 | [
"69-26=43",
"57+35=92",
"92-43=49"
] | Current State: 49:[26, 69, 57, 35], Operations: []
Exploring Operation: 69-26=43, Resulting Numbers: [57, 35, 43]
Generated Node #2: [57, 35, 43] from Operation: 69-26=43
Current State: 49:[57, 35, 43], Operations: ['69-26=43']
Exploring Operation: 57+35=92, Resulting Numbers: [43, 92]
Generated Node #3: [43, 92] from Operation: 57+35=92
Current State: 49:[43, 92], Operations: ['69-26=43', '57+35=92']
Exploring Operation: 92-43=49, Resulting Numbers: [49]
49,49 equal: Goal Reached
| 4 |
[
22,
72,
69,
67
] | 92 | [
"22+72=94",
"69-67=2",
"94-2=92"
] | Current State: 92:[22, 72, 69, 67], Operations: []
Exploring Operation: 22+72=94, Resulting Numbers: [69, 67, 94]
Generated Node #2: [69, 67, 94] from Operation: 22+72=94
Current State: 92:[69, 67, 94], Operations: ['22+72=94']
Exploring Operation: 69-67=2, Resulting Numbers: [94, 2]
Generated Node #3: [94, 2] from Operation: 69-67=2
Current State: 92:[94, 2], Operations: ['22+72=94', '69-67=2']
Exploring Operation: 94-2=92, Resulting Numbers: [92]
92,92 equal: Goal Reached
| 4 |
[
2,
18,
63,
56
] | 99 | [
"2+18=20",
"63+56=119",
"119-20=99"
] | Current State: 99:[2, 18, 63, 56], Operations: []
Exploring Operation: 2+18=20, Resulting Numbers: [63, 56, 20]
Generated Node #2: [63, 56, 20] from Operation: 2+18=20
Current State: 99:[63, 56, 20], Operations: ['2+18=20']
Exploring Operation: 63+56=119, Resulting Numbers: [20, 119]
Generated Node #3: [20, 119] from Operation: 63+56=119
Current State: 99:[20, 119], Operations: ['2+18=20', '63+56=119']
Exploring Operation: 119-20=99, Resulting Numbers: [99]
99,99 equal: Goal Reached
| 4 |
[
7,
43,
2,
43
] | 15 | [
"7*2=14",
"43/43=1",
"14+1=15"
] | Current State: 15:[7, 43, 2, 43], Operations: []
Exploring Operation: 7*2=14, Resulting Numbers: [43, 43, 14]
Generated Node #2: [43, 43, 14] from Operation: 7*2=14
Current State: 15:[43, 43, 14], Operations: ['7*2=14']
Exploring Operation: 43/43=1, Resulting Numbers: [14, 1]
Generated Node #3: [14, 1] from Operation: 43/43=1
Current State: 15:[14, 1], Operations: ['7*2=14', '43/43=1']
Exploring Operation: 14+1=15, Resulting Numbers: [15]
15,15 equal: Goal Reached
| 4 |
[
28,
3,
91,
25
] | 46 | [
"91-28=63",
"63/3=21",
"25+21=46"
] | Current State: 46:[28, 3, 91, 25], Operations: []
Exploring Operation: 91-28=63, Resulting Numbers: [3, 25, 63]
Generated Node #2: [3, 25, 63] from Operation: 91-28=63
Current State: 46:[3, 25, 63], Operations: ['91-28=63']
Exploring Operation: 63/3=21, Resulting Numbers: [25, 21]
Generated Node #3: [25, 21] from Operation: 63/3=21
Current State: 46:[25, 21], Operations: ['91-28=63', '63/3=21']
Exploring Operation: 25+21=46, Resulting Numbers: [46]
46,46 equal: Goal Reached
| 4 |
[
17,
45,
60,
88
] | 56 | [
"45-17=28",
"88-60=28",
"28+28=56"
] | Current State: 56:[17, 45, 60, 88], Operations: []
Exploring Operation: 45-17=28, Resulting Numbers: [60, 88, 28]
Generated Node #2: [60, 88, 28] from Operation: 45-17=28
Current State: 56:[60, 88, 28], Operations: ['45-17=28']
Exploring Operation: 88-60=28, Resulting Numbers: [28, 28]
Generated Node #3: [28, 28] from Operation: 88-60=28
Current State: 56:[28, 28], Operations: ['45-17=28', '88-60=28']
Exploring Operation: 28+28=56, Resulting Numbers: [56]
56,56 equal: Goal Reached
| 4 |
[
48,
55,
60,
25
] | 24 | [
"55-25=30",
"48*30=1440",
"1440/60=24"
] | Current State: 24:[48, 55, 60, 25], Operations: []
Exploring Operation: 55-25=30, Resulting Numbers: [48, 60, 30]
Generated Node #2: [48, 60, 30] from Operation: 55-25=30
Current State: 24:[48, 60, 30], Operations: ['55-25=30']
Exploring Operation: 48*30=1440, Resulting Numbers: [60, 1440]
Generated Node #3: [60, 1440] from Operation: 48*30=1440
Current State: 24:[60, 1440], Operations: ['55-25=30', '48*30=1440']
Exploring Operation: 1440/60=24, Resulting Numbers: [24]
24,24 equal: Goal Reached
| 4 |
[
35,
42,
18,
4
] | 19 | [
"35*18=630",
"630/42=15",
"4+15=19"
] | Current State: 19:[35, 42, 18, 4], Operations: []
Exploring Operation: 35*18=630, Resulting Numbers: [42, 4, 630]
Generated Node #2: [42, 4, 630] from Operation: 35*18=630
Current State: 19:[42, 4, 630], Operations: ['35*18=630']
Exploring Operation: 630/42=15, Resulting Numbers: [4, 15]
Generated Node #3: [4, 15] from Operation: 630/42=15
Current State: 19:[4, 15], Operations: ['35*18=630', '630/42=15']
Exploring Operation: 4+15=19, Resulting Numbers: [19]
19,19 equal: Goal Reached
| 4 |
[
11,
54,
1,
63
] | 90 | [
"11-1=10",
"63-54=9",
"10*9=90"
] | Current State: 90:[11, 54, 1, 63], Operations: []
Exploring Operation: 11-1=10, Resulting Numbers: [54, 63, 10]
Generated Node #2: [54, 63, 10] from Operation: 11-1=10
Current State: 90:[54, 63, 10], Operations: ['11-1=10']
Exploring Operation: 63-54=9, Resulting Numbers: [10, 9]
Generated Node #3: [10, 9] from Operation: 63-54=9
Current State: 90:[10, 9], Operations: ['11-1=10', '63-54=9']
Exploring Operation: 10*9=90, Resulting Numbers: [90]
90,90 equal: Goal Reached
| 4 |
[
45,
65,
30,
73
] | 92 | [
"65+73=138",
"30*138=4140",
"4140/45=92"
] | Current State: 92:[45, 65, 30, 73], Operations: []
Exploring Operation: 65+73=138, Resulting Numbers: [45, 30, 138]
Generated Node #2: [45, 30, 138] from Operation: 65+73=138
Current State: 92:[45, 30, 138], Operations: ['65+73=138']
Exploring Operation: 30*138=4140, Resulting Numbers: [45, 4140]
Generated Node #3: [45, 4140] from Operation: 30*138=4140
Current State: 92:[45, 4140], Operations: ['65+73=138', '30*138=4140']
Exploring Operation: 4140/45=92, Resulting Numbers: [92]
92,92 equal: Goal Reached
| 4 |
[
24,
89,
99,
26
] | 20 | [
"26-24=2",
"99-89=10",
"2*10=20"
] | Current State: 20:[24, 89, 99, 26], Operations: []
Exploring Operation: 26-24=2, Resulting Numbers: [89, 99, 2]
Generated Node #2: [89, 99, 2] from Operation: 26-24=2
Current State: 20:[89, 99, 2], Operations: ['26-24=2']
Exploring Operation: 99-89=10, Resulting Numbers: [2, 10]
Generated Node #3: [2, 10] from Operation: 99-89=10
Current State: 20:[2, 10], Operations: ['26-24=2', '99-89=10']
Exploring Operation: 2*10=20, Resulting Numbers: [20]
20,20 equal: Goal Reached
| 4 |
[
24,
48,
60,
22
] | 49 | [
"48/24=2",
"22/2=11",
"60-11=49"
] | Current State: 49:[24, 48, 60, 22], Operations: []
Exploring Operation: 48/24=2, Resulting Numbers: [60, 22, 2]
Generated Node #2: [60, 22, 2] from Operation: 48/24=2
Current State: 49:[60, 22, 2], Operations: ['48/24=2']
Exploring Operation: 22/2=11, Resulting Numbers: [60, 11]
Generated Node #3: [60, 11] from Operation: 22/2=11
Current State: 49:[60, 11], Operations: ['48/24=2', '22/2=11']
Exploring Operation: 60-11=49, Resulting Numbers: [49]
49,49 equal: Goal Reached
| 4 |
[
44,
9,
21,
24
] | 55 | [
"9+21=30",
"44*30=1320",
"1320/24=55"
] | Current State: 55:[44, 9, 21, 24], Operations: []
Exploring Operation: 9+21=30, Resulting Numbers: [44, 24, 30]
Generated Node #2: [44, 24, 30] from Operation: 9+21=30
Current State: 55:[44, 24, 30], Operations: ['9+21=30']
Exploring Operation: 44*30=1320, Resulting Numbers: [24, 1320]
Generated Node #3: [24, 1320] from Operation: 44*30=1320
Current State: 55:[24, 1320], Operations: ['9+21=30', '44*30=1320']
Exploring Operation: 1320/24=55, Resulting Numbers: [55]
55,55 equal: Goal Reached
| 4 |
[
11,
33,
2,
50
] | 19 | [
"11+33=44",
"50/2=25",
"44-25=19"
] | Current State: 19:[11, 33, 2, 50], Operations: []
Exploring Operation: 11+33=44, Resulting Numbers: [2, 50, 44]
Generated Node #2: [2, 50, 44] from Operation: 11+33=44
Current State: 19:[2, 50, 44], Operations: ['11+33=44']
Exploring Operation: 50/2=25, Resulting Numbers: [44, 25]
Generated Node #3: [44, 25] from Operation: 50/2=25
Current State: 19:[44, 25], Operations: ['11+33=44', '50/2=25']
Exploring Operation: 44-25=19, Resulting Numbers: [19]
19,19 equal: Goal Reached
| 4 |
[
90,
7,
82,
74
] | 89 | [
"90+7=97",
"82-74=8",
"97-8=89"
] | Current State: 89:[90, 7, 82, 74], Operations: []
Exploring Operation: 90+7=97, Resulting Numbers: [82, 74, 97]
Generated Node #2: [82, 74, 97] from Operation: 90+7=97
Current State: 89:[82, 74, 97], Operations: ['90+7=97']
Exploring Operation: 82-74=8, Resulting Numbers: [97, 8]
Generated Node #3: [97, 8] from Operation: 82-74=8
Current State: 89:[97, 8], Operations: ['90+7=97', '82-74=8']
Exploring Operation: 97-8=89, Resulting Numbers: [89]
89,89 equal: Goal Reached
| 4 |
[
63,
40,
32,
18
] | 27 | [
"63-40=23",
"32+18=50",
"50-23=27"
] | Current State: 27:[63, 40, 32, 18], Operations: []
Exploring Operation: 63-40=23, Resulting Numbers: [32, 18, 23]
Generated Node #2: [32, 18, 23] from Operation: 63-40=23
Current State: 27:[32, 18, 23], Operations: ['63-40=23']
Exploring Operation: 32+18=50, Resulting Numbers: [23, 50]
Generated Node #3: [23, 50] from Operation: 32+18=50
Current State: 27:[23, 50], Operations: ['63-40=23', '32+18=50']
Exploring Operation: 50-23=27, Resulting Numbers: [27]
27,27 equal: Goal Reached
| 4 |
[
89,
50,
2,
88
] | 13 | [
"88-50=38",
"2*38=76",
"89-76=13"
] | Current State: 13:[89, 50, 2, 88], Operations: []
Exploring Operation: 88-50=38, Resulting Numbers: [89, 2, 38]
Generated Node #2: [89, 2, 38] from Operation: 88-50=38
Current State: 13:[89, 2, 38], Operations: ['88-50=38']
Exploring Operation: 2*38=76, Resulting Numbers: [89, 76]
Generated Node #3: [89, 76] from Operation: 2*38=76
Current State: 13:[89, 76], Operations: ['88-50=38', '2*38=76']
Exploring Operation: 89-76=13, Resulting Numbers: [13]
13,13 equal: Goal Reached
| 4 |
[
50,
7,
28,
75
] | 49 | [
"28*75=2100",
"2100/50=42",
"7+42=49"
] | Current State: 49:[50, 7, 28, 75], Operations: []
Exploring Operation: 28*75=2100, Resulting Numbers: [50, 7, 2100]
Generated Node #2: [50, 7, 2100] from Operation: 28*75=2100
Current State: 49:[50, 7, 2100], Operations: ['28*75=2100']
Exploring Operation: 2100/50=42, Resulting Numbers: [7, 42]
Generated Node #3: [7, 42] from Operation: 2100/50=42
Current State: 49:[7, 42], Operations: ['28*75=2100', '2100/50=42']
Exploring Operation: 7+42=49, Resulting Numbers: [49]
49,49 equal: Goal Reached
| 4 |
[
58,
23,
65,
54
] | 84 | [
"58-23=35",
"65+54=119",
"119-35=84"
] | Current State: 84:[58, 23, 65, 54], Operations: []
Exploring Operation: 58-23=35, Resulting Numbers: [65, 54, 35]
Generated Node #2: [65, 54, 35] from Operation: 58-23=35
Current State: 84:[65, 54, 35], Operations: ['58-23=35']
Exploring Operation: 65+54=119, Resulting Numbers: [35, 119]
Generated Node #3: [35, 119] from Operation: 65+54=119
Current State: 84:[35, 119], Operations: ['58-23=35', '65+54=119']
Exploring Operation: 119-35=84, Resulting Numbers: [84]
84,84 equal: Goal Reached
| 4 |
[
79,
81,
25,
50
] | 80 | [
"79+81=160",
"50/25=2",
"160/2=80"
] | Current State: 80:[79, 81, 25, 50], Operations: []
Exploring Operation: 79+81=160, Resulting Numbers: [25, 50, 160]
Generated Node #2: [25, 50, 160] from Operation: 79+81=160
Current State: 80:[25, 50, 160], Operations: ['79+81=160']
Exploring Operation: 50/25=2, Resulting Numbers: [160, 2]
Generated Node #3: [160, 2] from Operation: 50/25=2
Current State: 80:[160, 2], Operations: ['79+81=160', '50/25=2']
Exploring Operation: 160/2=80, Resulting Numbers: [80]
80,80 equal: Goal Reached
| 4 |
[
20,
87,
49,
98
] | 69 | [
"87-20=67",
"98/49=2",
"67+2=69"
] | Current State: 69:[20, 87, 49, 98], Operations: []
Exploring Operation: 87-20=67, Resulting Numbers: [49, 98, 67]
Generated Node #2: [49, 98, 67] from Operation: 87-20=67
Current State: 69:[49, 98, 67], Operations: ['87-20=67']
Exploring Operation: 98/49=2, Resulting Numbers: [67, 2]
Generated Node #3: [67, 2] from Operation: 98/49=2
Current State: 69:[67, 2], Operations: ['87-20=67', '98/49=2']
Exploring Operation: 67+2=69, Resulting Numbers: [69]
69,69 equal: Goal Reached
| 4 |
[
13,
4,
59,
95
] | 89 | [
"59-13=46",
"4*46=184",
"184-95=89"
] | Current State: 89:[13, 4, 59, 95], Operations: []
Exploring Operation: 59-13=46, Resulting Numbers: [4, 95, 46]
Generated Node #2: [4, 95, 46] from Operation: 59-13=46
Current State: 89:[4, 95, 46], Operations: ['59-13=46']
Exploring Operation: 4*46=184, Resulting Numbers: [95, 184]
Generated Node #3: [95, 184] from Operation: 4*46=184
Current State: 89:[95, 184], Operations: ['59-13=46', '4*46=184']
Exploring Operation: 184-95=89, Resulting Numbers: [89]
89,89 equal: Goal Reached
| 4 |
[
27,
35,
61,
9
] | 44 | [
"27*35=945",
"945/9=105",
"105-61=44"
] | Current State: 44:[27, 35, 61, 9], Operations: []
Exploring Operation: 27*35=945, Resulting Numbers: [61, 9, 945]
Generated Node #2: [61, 9, 945] from Operation: 27*35=945
Current State: 44:[61, 9, 945], Operations: ['27*35=945']
Exploring Operation: 945/9=105, Resulting Numbers: [61, 105]
Generated Node #3: [61, 105] from Operation: 945/9=105
Current State: 44:[61, 105], Operations: ['27*35=945', '945/9=105']
Exploring Operation: 105-61=44, Resulting Numbers: [44]
44,44 equal: Goal Reached
| 4 |
[
91,
59,
47,
3
] | 18 | [
"91-59=32",
"47+3=50",
"50-32=18"
] | Current State: 18:[91, 59, 47, 3], Operations: []
Exploring Operation: 91-59=32, Resulting Numbers: [47, 3, 32]
Generated Node #2: [47, 3, 32] from Operation: 91-59=32
Current State: 18:[47, 3, 32], Operations: ['91-59=32']
Exploring Operation: 47+3=50, Resulting Numbers: [32, 50]
Generated Node #3: [32, 50] from Operation: 47+3=50
Current State: 18:[32, 50], Operations: ['91-59=32', '47+3=50']
Exploring Operation: 50-32=18, Resulting Numbers: [18]
18,18 equal: Goal Reached
| 4 |
[
73,
6,
91,
68
] | 17 | [
"73-68=5",
"91-6=85",
"85/5=17"
] | Current State: 17:[73, 6, 91, 68], Operations: []
Exploring Operation: 73-68=5, Resulting Numbers: [6, 91, 5]
Generated Node #2: [6, 91, 5] from Operation: 73-68=5
Current State: 17:[6, 91, 5], Operations: ['73-68=5']
Exploring Operation: 91-6=85, Resulting Numbers: [5, 85]
Generated Node #3: [5, 85] from Operation: 91-6=85
Current State: 17:[5, 85], Operations: ['73-68=5', '91-6=85']
Exploring Operation: 85/5=17, Resulting Numbers: [17]
17,17 equal: Goal Reached
| 4 |
[
15,
32,
16,
4
] | 34 | [
"15*32=480",
"480/16=30",
"4+30=34"
] | Current State: 34:[15, 32, 16, 4], Operations: []
Exploring Operation: 15*32=480, Resulting Numbers: [16, 4, 480]
Generated Node #2: [16, 4, 480] from Operation: 15*32=480
Current State: 34:[16, 4, 480], Operations: ['15*32=480']
Exploring Operation: 480/16=30, Resulting Numbers: [4, 30]
Generated Node #3: [4, 30] from Operation: 480/16=30
Current State: 34:[4, 30], Operations: ['15*32=480', '480/16=30']
Exploring Operation: 4+30=34, Resulting Numbers: [34]
34,34 equal: Goal Reached
| 4 |
[
43,
17,
68,
74
] | 32 | [
"43-17=26",
"74-68=6",
"26+6=32"
] | Current State: 32:[43, 17, 68, 74], Operations: []
Exploring Operation: 43-17=26, Resulting Numbers: [68, 74, 26]
Generated Node #2: [68, 74, 26] from Operation: 43-17=26
Current State: 32:[68, 74, 26], Operations: ['43-17=26']
Exploring Operation: 74-68=6, Resulting Numbers: [26, 6]
Generated Node #3: [26, 6] from Operation: 74-68=6
Current State: 32:[26, 6], Operations: ['43-17=26', '74-68=6']
Exploring Operation: 26+6=32, Resulting Numbers: [32]
32,32 equal: Goal Reached
| 4 |
[
75,
45,
48,
1
] | 79 | [
"75-45=30",
"48+1=49",
"30+49=79"
] | Current State: 79:[75, 45, 48, 1], Operations: []
Exploring Operation: 75-45=30, Resulting Numbers: [48, 1, 30]
Generated Node #2: [48, 1, 30] from Operation: 75-45=30
Current State: 79:[48, 1, 30], Operations: ['75-45=30']
Exploring Operation: 48+1=49, Resulting Numbers: [30, 49]
Generated Node #3: [30, 49] from Operation: 48+1=49
Current State: 79:[30, 49], Operations: ['75-45=30', '48+1=49']
Exploring Operation: 30+49=79, Resulting Numbers: [79]
79,79 equal: Goal Reached
| 4 |
[
12,
33,
45,
35
] | 31 | [
"33-12=21",
"45-35=10",
"21+10=31"
] | Current State: 31:[12, 33, 45, 35], Operations: []
Exploring Operation: 33-12=21, Resulting Numbers: [45, 35, 21]
Generated Node #2: [45, 35, 21] from Operation: 33-12=21
Current State: 31:[45, 35, 21], Operations: ['33-12=21']
Exploring Operation: 45-35=10, Resulting Numbers: [21, 10]
Generated Node #3: [21, 10] from Operation: 45-35=10
Current State: 31:[21, 10], Operations: ['33-12=21', '45-35=10']
Exploring Operation: 21+10=31, Resulting Numbers: [31]
31,31 equal: Goal Reached
| 4 |
[
26,
45,
27,
87
] | 11 | [
"26+45=71",
"87-27=60",
"71-60=11"
] | Current State: 11:[26, 45, 27, 87], Operations: []
Exploring Operation: 26+45=71, Resulting Numbers: [27, 87, 71]
Generated Node #2: [27, 87, 71] from Operation: 26+45=71
Current State: 11:[27, 87, 71], Operations: ['26+45=71']
Exploring Operation: 87-27=60, Resulting Numbers: [71, 60]
Generated Node #3: [71, 60] from Operation: 87-27=60
Current State: 11:[71, 60], Operations: ['26+45=71', '87-27=60']
Exploring Operation: 71-60=11, Resulting Numbers: [11]
11,11 equal: Goal Reached
| 4 |
[
6,
56,
9,
9
] | 56 | [
"9-9=0",
"6*0=0",
"56+0=56"
] | Current State: 56:[6, 56, 9, 9], Operations: []
Exploring Operation: 9-9=0, Resulting Numbers: [6, 56, 0]
Generated Node #2: [6, 56, 0] from Operation: 9-9=0
Current State: 56:[6, 56, 0], Operations: ['9-9=0']
Exploring Operation: 6*0=0, Resulting Numbers: [56, 0]
Generated Node #3: [56, 0] from Operation: 6*0=0
Current State: 56:[56, 0], Operations: ['9-9=0', '6*0=0']
Exploring Operation: 56+0=56, Resulting Numbers: [56]
56,56 equal: Goal Reached
| 4 |
[
60,
75,
90,
65
] | 18 | [
"90*65=5850",
"5850/75=78",
"78-60=18"
] | Current State: 18:[60, 75, 90, 65], Operations: []
Exploring Operation: 90*65=5850, Resulting Numbers: [60, 75, 5850]
Generated Node #2: [60, 75, 5850] from Operation: 90*65=5850
Current State: 18:[60, 75, 5850], Operations: ['90*65=5850']
Exploring Operation: 5850/75=78, Resulting Numbers: [60, 78]
Generated Node #3: [60, 78] from Operation: 5850/75=78
Current State: 18:[60, 78], Operations: ['90*65=5850', '5850/75=78']
Exploring Operation: 78-60=18, Resulting Numbers: [18]
18,18 equal: Goal Reached
| 4 |
[
74,
83,
19,
14
] | 42 | [
"83-74=9",
"19+14=33",
"9+33=42"
] | Current State: 42:[74, 83, 19, 14], Operations: []
Exploring Operation: 83-74=9, Resulting Numbers: [19, 14, 9]
Generated Node #2: [19, 14, 9] from Operation: 83-74=9
Current State: 42:[19, 14, 9], Operations: ['83-74=9']
Exploring Operation: 19+14=33, Resulting Numbers: [9, 33]
Generated Node #3: [9, 33] from Operation: 19+14=33
Current State: 42:[9, 33], Operations: ['83-74=9', '19+14=33']
Exploring Operation: 9+33=42, Resulting Numbers: [42]
42,42 equal: Goal Reached
| 4 |
[
84,
56,
21,
72
] | 47 | [
"84+56=140",
"21+72=93",
"140-93=47"
] | Current State: 47:[84, 56, 21, 72], Operations: []
Exploring Operation: 84+56=140, Resulting Numbers: [21, 72, 140]
Generated Node #2: [21, 72, 140] from Operation: 84+56=140
Current State: 47:[21, 72, 140], Operations: ['84+56=140']
Exploring Operation: 21+72=93, Resulting Numbers: [140, 93]
Generated Node #3: [140, 93] from Operation: 21+72=93
Current State: 47:[140, 93], Operations: ['84+56=140', '21+72=93']
Exploring Operation: 140-93=47, Resulting Numbers: [47]
47,47 equal: Goal Reached
| 4 |
[
88,
98,
35,
11
] | 55 | [
"88/11=8",
"98-35=63",
"63-8=55"
] | Current State: 55:[88, 98, 35, 11], Operations: []
Exploring Operation: 88/11=8, Resulting Numbers: [98, 35, 8]
Generated Node #2: [98, 35, 8] from Operation: 88/11=8
Current State: 55:[98, 35, 8], Operations: ['88/11=8']
Exploring Operation: 98-35=63, Resulting Numbers: [8, 63]
Generated Node #3: [8, 63] from Operation: 98-35=63
Current State: 55:[8, 63], Operations: ['88/11=8', '98-35=63']
Exploring Operation: 63-8=55, Resulting Numbers: [55]
55,55 equal: Goal Reached
| 4 |
[
70,
88,
76,
62
] | 32 | [
"88-70=18",
"76-62=14",
"18+14=32"
] | Current State: 32:[70, 88, 76, 62], Operations: []
Exploring Operation: 88-70=18, Resulting Numbers: [76, 62, 18]
Generated Node #2: [76, 62, 18] from Operation: 88-70=18
Current State: 32:[76, 62, 18], Operations: ['88-70=18']
Exploring Operation: 76-62=14, Resulting Numbers: [18, 14]
Generated Node #3: [18, 14] from Operation: 76-62=14
Current State: 32:[18, 14], Operations: ['88-70=18', '76-62=14']
Exploring Operation: 18+14=32, Resulting Numbers: [32]
32,32 equal: Goal Reached
| 4 |
[
54,
64,
8,
54
] | 55 | [
"54/54=1",
"64-8=56",
"56-1=55"
] | Current State: 55:[54, 64, 8, 54], Operations: []
Exploring Operation: 54/54=1, Resulting Numbers: [64, 8, 1]
Generated Node #2: [64, 8, 1] from Operation: 54/54=1
Current State: 55:[64, 8, 1], Operations: ['54/54=1']
Exploring Operation: 64-8=56, Resulting Numbers: [1, 56]
Generated Node #3: [1, 56] from Operation: 64-8=56
Current State: 55:[1, 56], Operations: ['54/54=1', '64-8=56']
Exploring Operation: 56-1=55, Resulting Numbers: [55]
55,55 equal: Goal Reached
| 4 |
[
50,
56,
73,
2
] | 61 | [
"56-50=6",
"2*6=12",
"73-12=61"
] | Current State: 61:[50, 56, 73, 2], Operations: []
Exploring Operation: 56-50=6, Resulting Numbers: [73, 2, 6]
Generated Node #2: [73, 2, 6] from Operation: 56-50=6
Current State: 61:[73, 2, 6], Operations: ['56-50=6']
Exploring Operation: 2*6=12, Resulting Numbers: [73, 12]
Generated Node #3: [73, 12] from Operation: 2*6=12
Current State: 61:[73, 12], Operations: ['56-50=6', '2*6=12']
Exploring Operation: 73-12=61, Resulting Numbers: [61]
61,61 equal: Goal Reached
| 4 |
[
19,
5,
78,
94
] | 99 | [
"94-78=16",
"5*16=80",
"19+80=99"
] | Current State: 99:[19, 5, 78, 94], Operations: []
Exploring Operation: 94-78=16, Resulting Numbers: [19, 5, 16]
Generated Node #2: [19, 5, 16] from Operation: 94-78=16
Current State: 99:[19, 5, 16], Operations: ['94-78=16']
Exploring Operation: 5*16=80, Resulting Numbers: [19, 80]
Generated Node #3: [19, 80] from Operation: 5*16=80
Current State: 99:[19, 80], Operations: ['94-78=16', '5*16=80']
Exploring Operation: 19+80=99, Resulting Numbers: [99]
99,99 equal: Goal Reached
| 4 |
[
4,
96,
5,
12
] | 32 | [
"4+96=100",
"100/5=20",
"12+20=32"
] | Current State: 32:[4, 96, 5, 12], Operations: []
Exploring Operation: 4+96=100, Resulting Numbers: [5, 12, 100]
Generated Node #2: [5, 12, 100] from Operation: 4+96=100
Current State: 32:[5, 12, 100], Operations: ['4+96=100']
Exploring Operation: 100/5=20, Resulting Numbers: [12, 20]
Generated Node #3: [12, 20] from Operation: 100/5=20
Current State: 32:[12, 20], Operations: ['4+96=100', '100/5=20']
Exploring Operation: 12+20=32, Resulting Numbers: [32]
32,32 equal: Goal Reached
| 4 |
[
9,
8,
56,
57
] | 81 | [
"56-8=48",
"57-48=9",
"9*9=81"
] | Current State: 81:[9, 8, 56, 57], Operations: []
Exploring Operation: 56-8=48, Resulting Numbers: [9, 57, 48]
Generated Node #2: [9, 57, 48] from Operation: 56-8=48
Current State: 81:[9, 57, 48], Operations: ['56-8=48']
Exploring Operation: 57-48=9, Resulting Numbers: [9, 9]
Generated Node #3: [9, 9] from Operation: 57-48=9
Current State: 81:[9, 9], Operations: ['56-8=48', '57-48=9']
Exploring Operation: 9*9=81, Resulting Numbers: [81]
81,81 equal: Goal Reached
| 4 |
[
54,
32,
42,
32
] | 52 | [
"54-32=22",
"42+32=74",
"74-22=52"
] | Current State: 52:[54, 32, 42, 32], Operations: []
Exploring Operation: 54-32=22, Resulting Numbers: [42, 22]
Generated Node #2: [42, 22] from Operation: 54-32=22
Current State: 52:[42, 22], Operations: ['54-32=22']
Exploring Operation: 42+32=74, Resulting Numbers: [22, 74]
Generated Node #3: [22, 74] from Operation: 42+32=74
Current State: 52:[22, 74], Operations: ['54-32=22', '42+32=74']
Exploring Operation: 74-22=52, Resulting Numbers: [52]
52,52 equal: Goal Reached
| 4 |
[
38,
3,
38,
32
] | 34 | [
"38/38=1",
"3+32=35",
"35-1=34"
] | Current State: 34:[38, 3, 38, 32], Operations: []
Exploring Operation: 38/38=1, Resulting Numbers: [3, 32, 1]
Generated Node #2: [3, 32, 1] from Operation: 38/38=1
Current State: 34:[3, 32, 1], Operations: ['38/38=1']
Exploring Operation: 3+32=35, Resulting Numbers: [1, 35]
Generated Node #3: [1, 35] from Operation: 3+32=35
Current State: 34:[1, 35], Operations: ['38/38=1', '3+32=35']
Exploring Operation: 35-1=34, Resulting Numbers: [34]
34,34 equal: Goal Reached
| 4 |
[
28,
35,
21,
27
] | 17 | [
"35*27=945",
"945/21=45",
"45-28=17"
] | Current State: 17:[28, 35, 21, 27], Operations: []
Exploring Operation: 35*27=945, Resulting Numbers: [28, 21, 945]
Generated Node #2: [28, 21, 945] from Operation: 35*27=945
Current State: 17:[28, 21, 945], Operations: ['35*27=945']
Exploring Operation: 945/21=45, Resulting Numbers: [28, 45]
Generated Node #3: [28, 45] from Operation: 945/21=45
Current State: 17:[28, 45], Operations: ['35*27=945', '945/21=45']
Exploring Operation: 45-28=17, Resulting Numbers: [17]
17,17 equal: Goal Reached
| 4 |
[
6,
9,
51,
6
] | 47 | [
"6*6=36",
"36/9=4",
"51-4=47"
] | Current State: 47:[6, 9, 51, 6], Operations: []
Exploring Operation: 6*6=36, Resulting Numbers: [9, 51, 36]
Generated Node #2: [9, 51, 36] from Operation: 6*6=36
Current State: 47:[9, 51, 36], Operations: ['6*6=36']
Exploring Operation: 36/9=4, Resulting Numbers: [51, 4]
Generated Node #3: [51, 4] from Operation: 36/9=4
Current State: 47:[51, 4], Operations: ['6*6=36', '36/9=4']
Exploring Operation: 51-4=47, Resulting Numbers: [47]
47,47 equal: Goal Reached
| 4 |
[
75,
21,
25,
89
] | 32 | [
"75+21=96",
"89-25=64",
"96-64=32"
] | Current State: 32:[75, 21, 25, 89], Operations: []
Exploring Operation: 75+21=96, Resulting Numbers: [25, 89, 96]
Generated Node #2: [25, 89, 96] from Operation: 75+21=96
Current State: 32:[25, 89, 96], Operations: ['75+21=96']
Exploring Operation: 89-25=64, Resulting Numbers: [96, 64]
Generated Node #3: [96, 64] from Operation: 89-25=64
Current State: 32:[96, 64], Operations: ['75+21=96', '89-25=64']
Exploring Operation: 96-64=32, Resulting Numbers: [32]
32,32 equal: Goal Reached
| 4 |
[
37,
43,
12,
1
] | 91 | [
"37+43=80",
"12-1=11",
"80+11=91"
] | Current State: 91:[37, 43, 12, 1], Operations: []
Exploring Operation: 37+43=80, Resulting Numbers: [12, 1, 80]
Generated Node #2: [12, 1, 80] from Operation: 37+43=80
Current State: 91:[12, 1, 80], Operations: ['37+43=80']
Exploring Operation: 12-1=11, Resulting Numbers: [80, 11]
Generated Node #3: [80, 11] from Operation: 12-1=11
Current State: 91:[80, 11], Operations: ['37+43=80', '12-1=11']
Exploring Operation: 80+11=91, Resulting Numbers: [91]
91,91 equal: Goal Reached
| 4 |
[
96,
83,
99,
58
] | 64 | [
"99-83=16",
"96/16=6",
"58+6=64"
] | Current State: 64:[96, 83, 99, 58], Operations: []
Exploring Operation: 99-83=16, Resulting Numbers: [96, 58, 16]
Generated Node #2: [96, 58, 16] from Operation: 99-83=16
Current State: 64:[96, 58, 16], Operations: ['99-83=16']
Exploring Operation: 96/16=6, Resulting Numbers: [58, 6]
Generated Node #3: [58, 6] from Operation: 96/16=6
Current State: 64:[58, 6], Operations: ['99-83=16', '96/16=6']
Exploring Operation: 58+6=64, Resulting Numbers: [64]
64,64 equal: Goal Reached
| 4 |
[
3,
65,
64,
56
] | 41 | [
"64-56=8",
"3*8=24",
"65-24=41"
] | Current State: 41:[3, 65, 64, 56], Operations: []
Exploring Operation: 64-56=8, Resulting Numbers: [3, 65, 8]
Generated Node #2: [3, 65, 8] from Operation: 64-56=8
Current State: 41:[3, 65, 8], Operations: ['64-56=8']
Exploring Operation: 3*8=24, Resulting Numbers: [65, 24]
Generated Node #3: [65, 24] from Operation: 3*8=24
Current State: 41:[65, 24], Operations: ['64-56=8', '3*8=24']
Exploring Operation: 65-24=41, Resulting Numbers: [41]
41,41 equal: Goal Reached
| 4 |
[
35,
38,
26,
29
] | 81 | [
"35-26=9",
"38-29=9",
"9*9=81"
] | Current State: 81:[35, 38, 26, 29], Operations: []
Exploring Operation: 35-26=9, Resulting Numbers: [38, 29, 9]
Generated Node #2: [38, 29, 9] from Operation: 35-26=9
Current State: 81:[38, 29, 9], Operations: ['35-26=9']
Exploring Operation: 38-29=9, Resulting Numbers: [9, 9]
Generated Node #3: [9, 9] from Operation: 38-29=9
Current State: 81:[9, 9], Operations: ['35-26=9', '38-29=9']
Exploring Operation: 9*9=81, Resulting Numbers: [81]
81,81 equal: Goal Reached
| 4 |
[
60,
40,
67,
58
] | 94 | [
"60-58=2",
"67*2=134",
"134-40=94"
] | Current State: 94:[60, 40, 67, 58], Operations: []
Exploring Operation: 60-58=2, Resulting Numbers: [40, 67, 2]
Generated Node #2: [40, 67, 2] from Operation: 60-58=2
Current State: 94:[40, 67, 2], Operations: ['60-58=2']
Exploring Operation: 67*2=134, Resulting Numbers: [40, 134]
Generated Node #3: [40, 134] from Operation: 67*2=134
Current State: 94:[40, 134], Operations: ['60-58=2', '67*2=134']
Exploring Operation: 134-40=94, Resulting Numbers: [94]
94,94 equal: Goal Reached
| 4 |
[
3,
76,
18,
38
] | 92 | [
"3*18=54",
"76-38=38",
"54+38=92"
] | Current State: 92:[3, 76, 18, 38], Operations: []
Exploring Operation: 3*18=54, Resulting Numbers: [76, 38, 54]
Generated Node #2: [76, 38, 54] from Operation: 3*18=54
Current State: 92:[76, 38, 54], Operations: ['3*18=54']
Exploring Operation: 76-38=38, Resulting Numbers: [54, 38]
Generated Node #3: [54, 38] from Operation: 76-38=38
Current State: 92:[54, 38], Operations: ['3*18=54', '76-38=38']
Exploring Operation: 54+38=92, Resulting Numbers: [92]
92,92 equal: Goal Reached
| 4 |
[
55,
23,
3,
20
] | 74 | [
"23+20=43",
"3*43=129",
"129-55=74"
] | Current State: 74:[55, 23, 3, 20], Operations: []
Exploring Operation: 23+20=43, Resulting Numbers: [55, 3, 43]
Generated Node #2: [55, 3, 43] from Operation: 23+20=43
Current State: 74:[55, 3, 43], Operations: ['23+20=43']
Exploring Operation: 3*43=129, Resulting Numbers: [55, 129]
Generated Node #3: [55, 129] from Operation: 3*43=129
Current State: 74:[55, 129], Operations: ['23+20=43', '3*43=129']
Exploring Operation: 129-55=74, Resulting Numbers: [74]
74,74 equal: Goal Reached
| 4 |
[
16,
8,
37,
5
] | 96 | [
"16*8=128",
"37-5=32",
"128-32=96"
] | Current State: 96:[16, 8, 37, 5], Operations: []
Exploring Operation: 16*8=128, Resulting Numbers: [37, 5, 128]
Generated Node #2: [37, 5, 128] from Operation: 16*8=128
Current State: 96:[37, 5, 128], Operations: ['16*8=128']
Exploring Operation: 37-5=32, Resulting Numbers: [128, 32]
Generated Node #3: [128, 32] from Operation: 37-5=32
Current State: 96:[128, 32], Operations: ['16*8=128', '37-5=32']
Exploring Operation: 128-32=96, Resulting Numbers: [96]
96,96 equal: Goal Reached
| 4 |
[
69,
11,
81,
23
] | 46 | [
"69-11=58",
"81+23=104",
"104-58=46"
] | Current State: 46:[69, 11, 81, 23], Operations: []
Exploring Operation: 69-11=58, Resulting Numbers: [81, 23, 58]
Generated Node #2: [81, 23, 58] from Operation: 69-11=58
Current State: 46:[81, 23, 58], Operations: ['69-11=58']
Exploring Operation: 81+23=104, Resulting Numbers: [58, 104]
Generated Node #3: [58, 104] from Operation: 81+23=104
Current State: 46:[58, 104], Operations: ['69-11=58', '81+23=104']
Exploring Operation: 104-58=46, Resulting Numbers: [46]
46,46 equal: Goal Reached
| 4 |
[
68,
46,
15,
58
] | 65 | [
"68-46=22",
"58-15=43",
"22+43=65"
] | Current State: 65:[68, 46, 15, 58], Operations: []
Exploring Operation: 68-46=22, Resulting Numbers: [15, 58, 22]
Generated Node #2: [15, 58, 22] from Operation: 68-46=22
Current State: 65:[15, 58, 22], Operations: ['68-46=22']
Exploring Operation: 58-15=43, Resulting Numbers: [22, 43]
Generated Node #3: [22, 43] from Operation: 58-15=43
Current State: 65:[22, 43], Operations: ['68-46=22', '58-15=43']
Exploring Operation: 22+43=65, Resulting Numbers: [65]
65,65 equal: Goal Reached
| 4 |
[
36,
92,
21,
39
] | 29 | [
"39-36=3",
"21*3=63",
"92-63=29"
] | Current State: 29:[36, 92, 21, 39], Operations: []
Exploring Operation: 39-36=3, Resulting Numbers: [92, 21, 3]
Generated Node #2: [92, 21, 3] from Operation: 39-36=3
Current State: 29:[92, 21, 3], Operations: ['39-36=3']
Exploring Operation: 21*3=63, Resulting Numbers: [92, 63]
Generated Node #3: [92, 63] from Operation: 21*3=63
Current State: 29:[92, 63], Operations: ['39-36=3', '21*3=63']
Exploring Operation: 92-63=29, Resulting Numbers: [29]
29,29 equal: Goal Reached
| 4 |
[
77,
37,
31,
2
] | 11 | [
"77-37=40",
"31-2=29",
"40-29=11"
] | Current State: 11:[77, 37, 31, 2], Operations: []
Exploring Operation: 77-37=40, Resulting Numbers: [31, 2, 40]
Generated Node #2: [31, 2, 40] from Operation: 77-37=40
Current State: 11:[31, 2, 40], Operations: ['77-37=40']
Exploring Operation: 31-2=29, Resulting Numbers: [40, 29]
Generated Node #3: [40, 29] from Operation: 31-2=29
Current State: 11:[40, 29], Operations: ['77-37=40', '31-2=29']
Exploring Operation: 40-29=11, Resulting Numbers: [11]
11,11 equal: Goal Reached
| 4 |
[
32,
14,
42,
91
] | 67 | [
"32-14=18",
"91-42=49",
"18+49=67"
] | Current State: 67:[32, 14, 42, 91], Operations: []
Exploring Operation: 32-14=18, Resulting Numbers: [42, 91, 18]
Generated Node #2: [42, 91, 18] from Operation: 32-14=18
Current State: 67:[42, 91, 18], Operations: ['32-14=18']
Exploring Operation: 91-42=49, Resulting Numbers: [18, 49]
Generated Node #3: [18, 49] from Operation: 91-42=49
Current State: 67:[18, 49], Operations: ['32-14=18', '91-42=49']
Exploring Operation: 18+49=67, Resulting Numbers: [67]
67,67 equal: Goal Reached
| 4 |
[
78,
7,
75,
81
] | 85 | [
"78-7=71",
"75+81=156",
"156-71=85"
] | Current State: 85:[78, 7, 75, 81], Operations: []
Exploring Operation: 78-7=71, Resulting Numbers: [75, 81, 71]
Generated Node #2: [75, 81, 71] from Operation: 78-7=71
Current State: 85:[75, 81, 71], Operations: ['78-7=71']
Exploring Operation: 75+81=156, Resulting Numbers: [71, 156]
Generated Node #3: [71, 156] from Operation: 75+81=156
Current State: 85:[71, 156], Operations: ['78-7=71', '75+81=156']
Exploring Operation: 156-71=85, Resulting Numbers: [85]
85,85 equal: Goal Reached
| 4 |
[
5,
12,
65,
43
] | 82 | [
"5*12=60",
"65-43=22",
"60+22=82"
] | Current State: 82:[5, 12, 65, 43], Operations: []
Exploring Operation: 5*12=60, Resulting Numbers: [65, 43, 60]
Generated Node #2: [65, 43, 60] from Operation: 5*12=60
Current State: 82:[65, 43, 60], Operations: ['5*12=60']
Exploring Operation: 65-43=22, Resulting Numbers: [60, 22]
Generated Node #3: [60, 22] from Operation: 65-43=22
Current State: 82:[60, 22], Operations: ['5*12=60', '65-43=22']
Exploring Operation: 60+22=82, Resulting Numbers: [82]
82,82 equal: Goal Reached
| 4 |
[
67,
77,
96,
20
] | 66 | [
"77-67=10",
"96-20=76",
"76-10=66"
] | Current State: 66:[67, 77, 96, 20], Operations: []
Exploring Operation: 77-67=10, Resulting Numbers: [96, 20, 10]
Generated Node #2: [96, 20, 10] from Operation: 77-67=10
Current State: 66:[96, 20, 10], Operations: ['77-67=10']
Exploring Operation: 96-20=76, Resulting Numbers: [10, 76]
Generated Node #3: [10, 76] from Operation: 96-20=76
Current State: 66:[10, 76], Operations: ['77-67=10', '96-20=76']
Exploring Operation: 76-10=66, Resulting Numbers: [66]
66,66 equal: Goal Reached
| 4 |
[
90,
2,
6,
56
] | 59 | [
"6+56=62",
"62/2=31",
"90-31=59"
] | Current State: 59:[90, 2, 6, 56], Operations: []
Exploring Operation: 6+56=62, Resulting Numbers: [90, 2, 62]
Generated Node #2: [90, 2, 62] from Operation: 6+56=62
Current State: 59:[90, 2, 62], Operations: ['6+56=62']
Exploring Operation: 62/2=31, Resulting Numbers: [90, 31]
Generated Node #3: [90, 31] from Operation: 62/2=31
Current State: 59:[90, 31], Operations: ['6+56=62', '62/2=31']
Exploring Operation: 90-31=59, Resulting Numbers: [59]
59,59 equal: Goal Reached
| 4 |
[
30,
26,
39,
88
] | 17 | [
"30-26=4",
"88/4=22",
"39-22=17"
] | Current State: 17:[30, 26, 39, 88], Operations: []
Exploring Operation: 30-26=4, Resulting Numbers: [39, 88, 4]
Generated Node #2: [39, 88, 4] from Operation: 30-26=4
Current State: 17:[39, 88, 4], Operations: ['30-26=4']
Exploring Operation: 88/4=22, Resulting Numbers: [39, 22]
Generated Node #3: [39, 22] from Operation: 88/4=22
Current State: 17:[39, 22], Operations: ['30-26=4', '88/4=22']
Exploring Operation: 39-22=17, Resulting Numbers: [17]
17,17 equal: Goal Reached
| 4 |
[
65,
58,
54,
67
] | 83 | [
"67-65=2",
"58/2=29",
"54+29=83"
] | Current State: 83:[65, 58, 54, 67], Operations: []
Exploring Operation: 67-65=2, Resulting Numbers: [58, 54, 2]
Generated Node #2: [58, 54, 2] from Operation: 67-65=2
Current State: 83:[58, 54, 2], Operations: ['67-65=2']
Exploring Operation: 58/2=29, Resulting Numbers: [54, 29]
Generated Node #3: [54, 29] from Operation: 58/2=29
Current State: 83:[54, 29], Operations: ['67-65=2', '58/2=29']
Exploring Operation: 54+29=83, Resulting Numbers: [83]
83,83 equal: Goal Reached
| 4 |
[
15,
5,
59,
27
] | 43 | [
"15*5=75",
"59-27=32",
"75-32=43"
] | Current State: 43:[15, 5, 59, 27], Operations: []
Exploring Operation: 15*5=75, Resulting Numbers: [59, 27, 75]
Generated Node #2: [59, 27, 75] from Operation: 15*5=75
Current State: 43:[59, 27, 75], Operations: ['15*5=75']
Exploring Operation: 59-27=32, Resulting Numbers: [75, 32]
Generated Node #3: [75, 32] from Operation: 59-27=32
Current State: 43:[75, 32], Operations: ['15*5=75', '59-27=32']
Exploring Operation: 75-32=43, Resulting Numbers: [43]
43,43 equal: Goal Reached
| 4 |
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