nums listlengths 4 4 | target int64 10 100 | solution listlengths 3 3 | optimal_path stringlengths 282 529 | start_size int64 4 4 |
|---|---|---|---|---|
[
62,
65,
47,
8
] | 82 | [
"65-47=18",
"8*18=144",
"144-62=82"
] | Current State: 82:[62, 65, 47, 8], Operations: []
Exploring Operation: 65-47=18, Resulting Numbers: [62, 8, 18]
Generated Node #2: [62, 8, 18] from Operation: 65-47=18
Current State: 82:[62, 8, 18], Operations: ['65-47=18']
Exploring Operation: 8*18=144, Resulting Numbers: [62, 144]
Generated Node #3: [62, 144] from Operation: 8*18=144
Current State: 82:[62, 144], Operations: ['65-47=18', '8*18=144']
Exploring Operation: 144-62=82, Resulting Numbers: [82]
82,82 equal: Goal Reached
| 4 |
[
33,
41,
23,
50
] | 19 | [
"41-33=8",
"50-23=27",
"27-8=19"
] | Current State: 19:[33, 41, 23, 50], Operations: []
Exploring Operation: 41-33=8, Resulting Numbers: [23, 50, 8]
Generated Node #2: [23, 50, 8] from Operation: 41-33=8
Current State: 19:[23, 50, 8], Operations: ['41-33=8']
Exploring Operation: 50-23=27, Resulting Numbers: [8, 27]
Generated Node #3: [8, 27] from Operation: 50-23=27
Current State: 19:[8, 27], Operations: ['41-33=8', '50-23=27']
Exploring Operation: 27-8=19, Resulting Numbers: [19]
19,19 equal: Goal Reached
| 4 |
[
77,
2,
81,
74
] | 91 | [
"81-74=7",
"2*7=14",
"77+14=91"
] | Current State: 91:[77, 2, 81, 74], Operations: []
Exploring Operation: 81-74=7, Resulting Numbers: [77, 2, 7]
Generated Node #2: [77, 2, 7] from Operation: 81-74=7
Current State: 91:[77, 2, 7], Operations: ['81-74=7']
Exploring Operation: 2*7=14, Resulting Numbers: [77, 14]
Generated Node #3: [77, 14] from Operation: 2*7=14
Current State: 91:[77, 14], Operations: ['81-74=7', '2*7=14']
Exploring Operation: 77+14=91, Resulting Numbers: [91]
91,91 equal: Goal Reached
| 4 |
[
12,
65,
68,
10
] | 40 | [
"12*10=120",
"68-65=3",
"120/3=40"
] | Current State: 40:[12, 65, 68, 10], Operations: []
Exploring Operation: 12*10=120, Resulting Numbers: [65, 68, 120]
Generated Node #2: [65, 68, 120] from Operation: 12*10=120
Current State: 40:[65, 68, 120], Operations: ['12*10=120']
Exploring Operation: 68-65=3, Resulting Numbers: [120, 3]
Generated Node #3: [120, 3] from Operation: 68-65=3
Current State: 40:[120, 3], Operations: ['12*10=120', '68-65=3']
Exploring Operation: 120/3=40, Resulting Numbers: [40]
40,40 equal: Goal Reached
| 4 |
[
60,
19,
96,
2
] | 59 | [
"60+96=156",
"156/2=78",
"78-19=59"
] | Current State: 59:[60, 19, 96, 2], Operations: []
Exploring Operation: 60+96=156, Resulting Numbers: [19, 2, 156]
Generated Node #2: [19, 2, 156] from Operation: 60+96=156
Current State: 59:[19, 2, 156], Operations: ['60+96=156']
Exploring Operation: 156/2=78, Resulting Numbers: [19, 78]
Generated Node #3: [19, 78] from Operation: 156/2=78
Current State: 59:[19, 78], Operations: ['60+96=156', '156/2=78']
Exploring Operation: 78-19=59, Resulting Numbers: [59]
59,59 equal: Goal Reached
| 4 |
[
22,
57,
6,
33
] | 88 | [
"57-33=24",
"22*24=528",
"528/6=88"
] | Current State: 88:[22, 57, 6, 33], Operations: []
Exploring Operation: 57-33=24, Resulting Numbers: [22, 6, 24]
Generated Node #2: [22, 6, 24] from Operation: 57-33=24
Current State: 88:[22, 6, 24], Operations: ['57-33=24']
Exploring Operation: 22*24=528, Resulting Numbers: [6, 528]
Generated Node #3: [6, 528] from Operation: 22*24=528
Current State: 88:[6, 528], Operations: ['57-33=24', '22*24=528']
Exploring Operation: 528/6=88, Resulting Numbers: [88]
88,88 equal: Goal Reached
| 4 |
[
11,
5,
61,
94
] | 88 | [
"11*5=55",
"94-61=33",
"55+33=88"
] | Current State: 88:[11, 5, 61, 94], Operations: []
Exploring Operation: 11*5=55, Resulting Numbers: [61, 94, 55]
Generated Node #2: [61, 94, 55] from Operation: 11*5=55
Current State: 88:[61, 94, 55], Operations: ['11*5=55']
Exploring Operation: 94-61=33, Resulting Numbers: [55, 33]
Generated Node #3: [55, 33] from Operation: 94-61=33
Current State: 88:[55, 33], Operations: ['11*5=55', '94-61=33']
Exploring Operation: 55+33=88, Resulting Numbers: [88]
88,88 equal: Goal Reached
| 4 |
[
57,
57,
84,
62
] | 62 | [
"57-57=0",
"84*0=0",
"62+0=62"
] | Current State: 62:[57, 57, 84, 62], Operations: []
Exploring Operation: 57-57=0, Resulting Numbers: [84, 62, 0]
Generated Node #2: [84, 62, 0] from Operation: 57-57=0
Current State: 62:[84, 62, 0], Operations: ['57-57=0']
Exploring Operation: 84*0=0, Resulting Numbers: [62, 0]
Generated Node #3: [62, 0] from Operation: 84*0=0
Current State: 62:[62, 0], Operations: ['57-57=0', '84*0=0']
Exploring Operation: 62+0=62, Resulting Numbers: [62]
62,62 equal: Goal Reached
| 4 |
[
37,
18,
52,
27
] | 44 | [
"37-18=19",
"52-27=25",
"19+25=44"
] | Current State: 44:[37, 18, 52, 27], Operations: []
Exploring Operation: 37-18=19, Resulting Numbers: [52, 27, 19]
Generated Node #2: [52, 27, 19] from Operation: 37-18=19
Current State: 44:[52, 27, 19], Operations: ['37-18=19']
Exploring Operation: 52-27=25, Resulting Numbers: [19, 25]
Generated Node #3: [19, 25] from Operation: 52-27=25
Current State: 44:[19, 25], Operations: ['37-18=19', '52-27=25']
Exploring Operation: 19+25=44, Resulting Numbers: [44]
44,44 equal: Goal Reached
| 4 |
[
55,
48,
48,
43
] | 37 | [
"48-43=5",
"55/5=11",
"48-11=37"
] | Current State: 37:[55, 48, 48, 43], Operations: []
Exploring Operation: 48-43=5, Resulting Numbers: [55, 5]
Generated Node #2: [55, 5] from Operation: 48-43=5
Current State: 37:[55, 5], Operations: ['48-43=5']
Exploring Operation: 55/5=11, Resulting Numbers: [11]
11,37 equal: Goal Reached
Exploring Operation: 48-11=37, Resulting Numbers: [37]
37,37 equal: Goal Reached
| 4 |
[
80,
6,
98,
44
] | 86 | [
"80+98=178",
"6*44=264",
"264-178=86"
] | Current State: 86:[80, 6, 98, 44], Operations: []
Exploring Operation: 80+98=178, Resulting Numbers: [6, 44, 178]
Generated Node #2: [6, 44, 178] from Operation: 80+98=178
Current State: 86:[6, 44, 178], Operations: ['80+98=178']
Exploring Operation: 6*44=264, Resulting Numbers: [178, 264]
Generated Node #3: [178, 264] from Operation: 6*44=264
Current State: 86:[178, 264], Operations: ['80+98=178', '6*44=264']
Exploring Operation: 264-178=86, Resulting Numbers: [86]
86,86 equal: Goal Reached
| 4 |
[
84,
73,
15,
77
] | 32 | [
"84-77=7",
"15*7=105",
"105-73=32"
] | Current State: 32:[84, 73, 15, 77], Operations: []
Exploring Operation: 84-77=7, Resulting Numbers: [73, 15, 7]
Generated Node #2: [73, 15, 7] from Operation: 84-77=7
Current State: 32:[73, 15, 7], Operations: ['84-77=7']
Exploring Operation: 15*7=105, Resulting Numbers: [73, 105]
Generated Node #3: [73, 105] from Operation: 15*7=105
Current State: 32:[73, 105], Operations: ['84-77=7', '15*7=105']
Exploring Operation: 105-73=32, Resulting Numbers: [32]
32,32 equal: Goal Reached
| 4 |
[
53,
53,
13,
67
] | 79 | [
"53/53=1",
"13+67=80",
"80-1=79"
] | Current State: 79:[53, 53, 13, 67], Operations: []
Exploring Operation: 53/53=1, Resulting Numbers: [13, 67, 1]
Generated Node #2: [13, 67, 1] from Operation: 53/53=1
Current State: 79:[13, 67, 1], Operations: ['53/53=1']
Exploring Operation: 13+67=80, Resulting Numbers: [1, 80]
Generated Node #3: [1, 80] from Operation: 13+67=80
Current State: 79:[1, 80], Operations: ['53/53=1', '13+67=80']
Exploring Operation: 80-1=79, Resulting Numbers: [79]
79,79 equal: Goal Reached
| 4 |
[
9,
4,
52,
99
] | 52 | [
"9-4=5",
"99-52=47",
"5+47=52"
] | Current State: 52:[9, 4, 52, 99], Operations: []
Exploring Operation: 9-4=5, Resulting Numbers: [52, 99, 5]
Generated Node #2: [52, 99, 5] from Operation: 9-4=5
Current State: 52:[52, 99, 5], Operations: ['9-4=5']
Exploring Operation: 99-52=47, Resulting Numbers: [5, 47]
Generated Node #3: [5, 47] from Operation: 99-52=47
Current State: 52:[5, 47], Operations: ['9-4=5', '99-52=47']
Exploring Operation: 5+47=52, Resulting Numbers: [52]
52,52 equal: Goal Reached
| 4 |
[
47,
62,
4,
37
] | 22 | [
"47-37=10",
"4*10=40",
"62-40=22"
] | Current State: 22:[47, 62, 4, 37], Operations: []
Exploring Operation: 47-37=10, Resulting Numbers: [62, 4, 10]
Generated Node #2: [62, 4, 10] from Operation: 47-37=10
Current State: 22:[62, 4, 10], Operations: ['47-37=10']
Exploring Operation: 4*10=40, Resulting Numbers: [62, 40]
Generated Node #3: [62, 40] from Operation: 4*10=40
Current State: 22:[62, 40], Operations: ['47-37=10', '4*10=40']
Exploring Operation: 62-40=22, Resulting Numbers: [22]
22,22 equal: Goal Reached
| 4 |
[
26,
72,
54,
1
] | 100 | [
"72-26=46",
"54*1=54",
"46+54=100"
] | Current State: 100:[26, 72, 54, 1], Operations: []
Exploring Operation: 72-26=46, Resulting Numbers: [54, 1, 46]
Generated Node #2: [54, 1, 46] from Operation: 72-26=46
Current State: 100:[54, 1, 46], Operations: ['72-26=46']
Exploring Operation: 54*1=54, Resulting Numbers: [46, 54]
Generated Node #3: [46, 54] from Operation: 54*1=54
Current State: 100:[46, 54], Operations: ['72-26=46', '54*1=54']
Exploring Operation: 46+54=100, Resulting Numbers: [100]
100,100 equal: Goal Reached
| 4 |
[
78,
9,
40,
6
] | 14 | [
"9-6=3",
"78/3=26",
"40-26=14"
] | Current State: 14:[78, 9, 40, 6], Operations: []
Exploring Operation: 9-6=3, Resulting Numbers: [78, 40, 3]
Generated Node #2: [78, 40, 3] from Operation: 9-6=3
Current State: 14:[78, 40, 3], Operations: ['9-6=3']
Exploring Operation: 78/3=26, Resulting Numbers: [40, 26]
Generated Node #3: [40, 26] from Operation: 78/3=26
Current State: 14:[40, 26], Operations: ['9-6=3', '78/3=26']
Exploring Operation: 40-26=14, Resulting Numbers: [14]
14,14 equal: Goal Reached
| 4 |
[
94,
91,
59,
32
] | 37 | [
"94-91=3",
"32*3=96",
"96-59=37"
] | Current State: 37:[94, 91, 59, 32], Operations: []
Exploring Operation: 94-91=3, Resulting Numbers: [59, 32, 3]
Generated Node #2: [59, 32, 3] from Operation: 94-91=3
Current State: 37:[59, 32, 3], Operations: ['94-91=3']
Exploring Operation: 32*3=96, Resulting Numbers: [59, 96]
Generated Node #3: [59, 96] from Operation: 32*3=96
Current State: 37:[59, 96], Operations: ['94-91=3', '32*3=96']
Exploring Operation: 96-59=37, Resulting Numbers: [37]
37,37 equal: Goal Reached
| 4 |
[
74,
69,
77,
4
] | 86 | [
"74-69=5",
"77+4=81",
"5+81=86"
] | Current State: 86:[74, 69, 77, 4], Operations: []
Exploring Operation: 74-69=5, Resulting Numbers: [77, 4, 5]
Generated Node #2: [77, 4, 5] from Operation: 74-69=5
Current State: 86:[77, 4, 5], Operations: ['74-69=5']
Exploring Operation: 77+4=81, Resulting Numbers: [5, 81]
Generated Node #3: [5, 81] from Operation: 77+4=81
Current State: 86:[5, 81], Operations: ['74-69=5', '77+4=81']
Exploring Operation: 5+81=86, Resulting Numbers: [86]
86,86 equal: Goal Reached
| 4 |
[
59,
90,
50,
81
] | 62 | [
"90-59=31",
"81-50=31",
"31+31=62"
] | Current State: 62:[59, 90, 50, 81], Operations: []
Exploring Operation: 90-59=31, Resulting Numbers: [50, 81, 31]
Generated Node #2: [50, 81, 31] from Operation: 90-59=31
Current State: 62:[50, 81, 31], Operations: ['90-59=31']
Exploring Operation: 81-50=31, Resulting Numbers: [31, 31]
Generated Node #3: [31, 31] from Operation: 81-50=31
Current State: 62:[31, 31], Operations: ['90-59=31', '81-50=31']
Exploring Operation: 31+31=62, Resulting Numbers: [62]
62,62 equal: Goal Reached
| 4 |
[
99,
5,
33,
24
] | 48 | [
"99/33=3",
"5-3=2",
"24*2=48"
] | Current State: 48:[99, 5, 33, 24], Operations: []
Exploring Operation: 99/33=3, Resulting Numbers: [5, 24, 3]
Generated Node #2: [5, 24, 3] from Operation: 99/33=3
Current State: 48:[5, 24, 3], Operations: ['99/33=3']
Exploring Operation: 5-3=2, Resulting Numbers: [24, 2]
Generated Node #3: [24, 2] from Operation: 5-3=2
Current State: 48:[24, 2], Operations: ['99/33=3', '5-3=2']
Exploring Operation: 24*2=48, Resulting Numbers: [48]
48,48 equal: Goal Reached
| 4 |
[
64,
16,
86,
21
] | 27 | [
"64+16=80",
"86+21=107",
"107-80=27"
] | Current State: 27:[64, 16, 86, 21], Operations: []
Exploring Operation: 64+16=80, Resulting Numbers: [86, 21, 80]
Generated Node #2: [86, 21, 80] from Operation: 64+16=80
Current State: 27:[86, 21, 80], Operations: ['64+16=80']
Exploring Operation: 86+21=107, Resulting Numbers: [80, 107]
Generated Node #3: [80, 107] from Operation: 86+21=107
Current State: 27:[80, 107], Operations: ['64+16=80', '86+21=107']
Exploring Operation: 107-80=27, Resulting Numbers: [27]
27,27 equal: Goal Reached
| 4 |
[
33,
85,
41,
87
] | 72 | [
"33+85=118",
"87-41=46",
"118-46=72"
] | Current State: 72:[33, 85, 41, 87], Operations: []
Exploring Operation: 33+85=118, Resulting Numbers: [41, 87, 118]
Generated Node #2: [41, 87, 118] from Operation: 33+85=118
Current State: 72:[41, 87, 118], Operations: ['33+85=118']
Exploring Operation: 87-41=46, Resulting Numbers: [118, 46]
Generated Node #3: [118, 46] from Operation: 87-41=46
Current State: 72:[118, 46], Operations: ['33+85=118', '87-41=46']
Exploring Operation: 118-46=72, Resulting Numbers: [72]
72,72 equal: Goal Reached
| 4 |
[
9,
25,
59,
27
] | 28 | [
"27/9=3",
"25+59=84",
"84/3=28"
] | Current State: 28:[9, 25, 59, 27], Operations: []
Exploring Operation: 27/9=3, Resulting Numbers: [25, 59, 3]
Generated Node #2: [25, 59, 3] from Operation: 27/9=3
Current State: 28:[25, 59, 3], Operations: ['27/9=3']
Exploring Operation: 25+59=84, Resulting Numbers: [3, 84]
Generated Node #3: [3, 84] from Operation: 25+59=84
Current State: 28:[3, 84], Operations: ['27/9=3', '25+59=84']
Exploring Operation: 84/3=28, Resulting Numbers: [28]
28,28 equal: Goal Reached
| 4 |
[
11,
23,
57,
66
] | 86 | [
"66/11=6",
"23+57=80",
"6+80=86"
] | Current State: 86:[11, 23, 57, 66], Operations: []
Exploring Operation: 66/11=6, Resulting Numbers: [23, 57, 6]
Generated Node #2: [23, 57, 6] from Operation: 66/11=6
Current State: 86:[23, 57, 6], Operations: ['66/11=6']
Exploring Operation: 23+57=80, Resulting Numbers: [6, 80]
Generated Node #3: [6, 80] from Operation: 23+57=80
Current State: 86:[6, 80], Operations: ['66/11=6', '23+57=80']
Exploring Operation: 6+80=86, Resulting Numbers: [86]
86,86 equal: Goal Reached
| 4 |
[
2,
44,
40,
1
] | 35 | [
"2*40=80",
"44+1=45",
"80-45=35"
] | Current State: 35:[2, 44, 40, 1], Operations: []
Exploring Operation: 2*40=80, Resulting Numbers: [44, 1, 80]
Generated Node #2: [44, 1, 80] from Operation: 2*40=80
Current State: 35:[44, 1, 80], Operations: ['2*40=80']
Exploring Operation: 44+1=45, Resulting Numbers: [80, 45]
Generated Node #3: [80, 45] from Operation: 44+1=45
Current State: 35:[80, 45], Operations: ['2*40=80', '44+1=45']
Exploring Operation: 80-45=35, Resulting Numbers: [35]
35,35 equal: Goal Reached
| 4 |
[
84,
12,
54,
63
] | 16 | [
"84/12=7",
"63-54=9",
"7+9=16"
] | Current State: 16:[84, 12, 54, 63], Operations: []
Exploring Operation: 84/12=7, Resulting Numbers: [54, 63, 7]
Generated Node #2: [54, 63, 7] from Operation: 84/12=7
Current State: 16:[54, 63, 7], Operations: ['84/12=7']
Exploring Operation: 63-54=9, Resulting Numbers: [7, 9]
Generated Node #3: [7, 9] from Operation: 63-54=9
Current State: 16:[7, 9], Operations: ['84/12=7', '63-54=9']
Exploring Operation: 7+9=16, Resulting Numbers: [16]
16,16 equal: Goal Reached
| 4 |
[
87,
63,
38,
2
] | 52 | [
"87-63=24",
"38*2=76",
"76-24=52"
] | Current State: 52:[87, 63, 38, 2], Operations: []
Exploring Operation: 87-63=24, Resulting Numbers: [38, 2, 24]
Generated Node #2: [38, 2, 24] from Operation: 87-63=24
Current State: 52:[38, 2, 24], Operations: ['87-63=24']
Exploring Operation: 38*2=76, Resulting Numbers: [24, 76]
Generated Node #3: [24, 76] from Operation: 38*2=76
Current State: 52:[24, 76], Operations: ['87-63=24', '38*2=76']
Exploring Operation: 76-24=52, Resulting Numbers: [52]
52,52 equal: Goal Reached
| 4 |
[
46,
14,
33,
12
] | 89 | [
"46+33=79",
"14*12=168",
"168-79=89"
] | Current State: 89:[46, 14, 33, 12], Operations: []
Exploring Operation: 46+33=79, Resulting Numbers: [14, 12, 79]
Generated Node #2: [14, 12, 79] from Operation: 46+33=79
Current State: 89:[14, 12, 79], Operations: ['46+33=79']
Exploring Operation: 14*12=168, Resulting Numbers: [79, 168]
Generated Node #3: [79, 168] from Operation: 14*12=168
Current State: 89:[79, 168], Operations: ['46+33=79', '14*12=168']
Exploring Operation: 168-79=89, Resulting Numbers: [89]
89,89 equal: Goal Reached
| 4 |
[
19,
19,
52,
7
] | 44 | [
"19/19=1",
"52-7=45",
"45-1=44"
] | Current State: 44:[19, 19, 52, 7], Operations: []
Exploring Operation: 19/19=1, Resulting Numbers: [52, 7, 1]
Generated Node #2: [52, 7, 1] from Operation: 19/19=1
Current State: 44:[52, 7, 1], Operations: ['19/19=1']
Exploring Operation: 52-7=45, Resulting Numbers: [1, 45]
Generated Node #3: [1, 45] from Operation: 52-7=45
Current State: 44:[1, 45], Operations: ['19/19=1', '52-7=45']
Exploring Operation: 45-1=44, Resulting Numbers: [44]
44,44 equal: Goal Reached
| 4 |
[
17,
76,
94,
34
] | 22 | [
"76+94=170",
"170/34=5",
"17+5=22"
] | Current State: 22:[17, 76, 94, 34], Operations: []
Exploring Operation: 76+94=170, Resulting Numbers: [17, 34, 170]
Generated Node #2: [17, 34, 170] from Operation: 76+94=170
Current State: 22:[17, 34, 170], Operations: ['76+94=170']
Exploring Operation: 170/34=5, Resulting Numbers: [17, 5]
Generated Node #3: [17, 5] from Operation: 170/34=5
Current State: 22:[17, 5], Operations: ['76+94=170', '170/34=5']
Exploring Operation: 17+5=22, Resulting Numbers: [22]
22,22 equal: Goal Reached
| 4 |
[
61,
44,
10,
84
] | 11 | [
"61+44=105",
"10+84=94",
"105-94=11"
] | Current State: 11:[61, 44, 10, 84], Operations: []
Exploring Operation: 61+44=105, Resulting Numbers: [10, 84, 105]
Generated Node #2: [10, 84, 105] from Operation: 61+44=105
Current State: 11:[10, 84, 105], Operations: ['61+44=105']
Exploring Operation: 10+84=94, Resulting Numbers: [105, 94]
Generated Node #3: [105, 94] from Operation: 10+84=94
Current State: 11:[105, 94], Operations: ['61+44=105', '10+84=94']
Exploring Operation: 105-94=11, Resulting Numbers: [11]
11,11 equal: Goal Reached
| 4 |
[
98,
21,
60,
17
] | 76 | [
"98+21=119",
"60-17=43",
"119-43=76"
] | Current State: 76:[98, 21, 60, 17], Operations: []
Exploring Operation: 98+21=119, Resulting Numbers: [60, 17, 119]
Generated Node #2: [60, 17, 119] from Operation: 98+21=119
Current State: 76:[60, 17, 119], Operations: ['98+21=119']
Exploring Operation: 60-17=43, Resulting Numbers: [119, 43]
Generated Node #3: [119, 43] from Operation: 60-17=43
Current State: 76:[119, 43], Operations: ['98+21=119', '60-17=43']
Exploring Operation: 119-43=76, Resulting Numbers: [76]
76,76 equal: Goal Reached
| 4 |
[
97,
64,
16,
65
] | 66 | [
"97-65=32",
"32/16=2",
"64+2=66"
] | Current State: 66:[97, 64, 16, 65], Operations: []
Exploring Operation: 97-65=32, Resulting Numbers: [64, 16, 32]
Generated Node #2: [64, 16, 32] from Operation: 97-65=32
Current State: 66:[64, 16, 32], Operations: ['97-65=32']
Exploring Operation: 32/16=2, Resulting Numbers: [64, 2]
Generated Node #3: [64, 2] from Operation: 32/16=2
Current State: 66:[64, 2], Operations: ['97-65=32', '32/16=2']
Exploring Operation: 64+2=66, Resulting Numbers: [66]
66,66 equal: Goal Reached
| 4 |
[
11,
59,
18,
24
] | 20 | [
"59-11=48",
"48/24=2",
"18+2=20"
] | Current State: 20:[11, 59, 18, 24], Operations: []
Exploring Operation: 59-11=48, Resulting Numbers: [18, 24, 48]
Generated Node #2: [18, 24, 48] from Operation: 59-11=48
Current State: 20:[18, 24, 48], Operations: ['59-11=48']
Exploring Operation: 48/24=2, Resulting Numbers: [18, 2]
Generated Node #3: [18, 2] from Operation: 48/24=2
Current State: 20:[18, 2], Operations: ['59-11=48', '48/24=2']
Exploring Operation: 18+2=20, Resulting Numbers: [20]
20,20 equal: Goal Reached
| 4 |
[
4,
23,
15,
10
] | 27 | [
"4*15=60",
"23+10=33",
"60-33=27"
] | Current State: 27:[4, 23, 15, 10], Operations: []
Exploring Operation: 4*15=60, Resulting Numbers: [23, 10, 60]
Generated Node #2: [23, 10, 60] from Operation: 4*15=60
Current State: 27:[23, 10, 60], Operations: ['4*15=60']
Exploring Operation: 23+10=33, Resulting Numbers: [60, 33]
Generated Node #3: [60, 33] from Operation: 23+10=33
Current State: 27:[60, 33], Operations: ['4*15=60', '23+10=33']
Exploring Operation: 60-33=27, Resulting Numbers: [27]
27,27 equal: Goal Reached
| 4 |
[
99,
88,
99,
54
] | 88 | [
"99-99=0",
"54*0=0",
"88+0=88"
] | Current State: 88:[99, 88, 99, 54], Operations: []
Exploring Operation: 99-99=0, Resulting Numbers: [88, 54, 0]
Generated Node #2: [88, 54, 0] from Operation: 99-99=0
Current State: 88:[88, 54, 0], Operations: ['99-99=0']
Exploring Operation: 54*0=0, Resulting Numbers: [88, 0]
Generated Node #3: [88, 0] from Operation: 54*0=0
Current State: 88:[88, 0], Operations: ['99-99=0', '54*0=0']
Exploring Operation: 88+0=88, Resulting Numbers: [88]
88,88 equal: Goal Reached
| 4 |
[
36,
99,
4,
20
] | 47 | [
"99-36=63",
"20-4=16",
"63-16=47"
] | Current State: 47:[36, 99, 4, 20], Operations: []
Exploring Operation: 99-36=63, Resulting Numbers: [4, 20, 63]
Generated Node #2: [4, 20, 63] from Operation: 99-36=63
Current State: 47:[4, 20, 63], Operations: ['99-36=63']
Exploring Operation: 20-4=16, Resulting Numbers: [63, 16]
Generated Node #3: [63, 16] from Operation: 20-4=16
Current State: 47:[63, 16], Operations: ['99-36=63', '20-4=16']
Exploring Operation: 63-16=47, Resulting Numbers: [47]
47,47 equal: Goal Reached
| 4 |
[
79,
32,
5,
70
] | 97 | [
"79+32=111",
"70/5=14",
"111-14=97"
] | Current State: 97:[79, 32, 5, 70], Operations: []
Exploring Operation: 79+32=111, Resulting Numbers: [5, 70, 111]
Generated Node #2: [5, 70, 111] from Operation: 79+32=111
Current State: 97:[5, 70, 111], Operations: ['79+32=111']
Exploring Operation: 70/5=14, Resulting Numbers: [111, 14]
Generated Node #3: [111, 14] from Operation: 70/5=14
Current State: 97:[111, 14], Operations: ['79+32=111', '70/5=14']
Exploring Operation: 111-14=97, Resulting Numbers: [97]
97,97 equal: Goal Reached
| 4 |
[
75,
98,
15,
45
] | 31 | [
"98*15=1470",
"1470-75=1395",
"1395/45=31"
] | Current State: 31:[75, 98, 15, 45], Operations: []
Exploring Operation: 98*15=1470, Resulting Numbers: [75, 45, 1470]
Generated Node #2: [75, 45, 1470] from Operation: 98*15=1470
Current State: 31:[75, 45, 1470], Operations: ['98*15=1470']
Exploring Operation: 1470-75=1395, Resulting Numbers: [45, 1395]
Generated Node #3: [45, 1395] from Operation: 1470-75=1395
Current State: 31:[45, 1395], Operations: ['98*15=1470', '1470-75=1395']
Exploring Operation: 1395/45=31, Resulting Numbers: [31]
31,31 equal: Goal Reached
| 4 |
[
9,
27,
54,
2
] | 72 | [
"9+27=36",
"54*2=108",
"108-36=72"
] | Current State: 72:[9, 27, 54, 2], Operations: []
Exploring Operation: 9+27=36, Resulting Numbers: [54, 2, 36]
Generated Node #2: [54, 2, 36] from Operation: 9+27=36
Current State: 72:[54, 2, 36], Operations: ['9+27=36']
Exploring Operation: 54*2=108, Resulting Numbers: [36, 108]
Generated Node #3: [36, 108] from Operation: 54*2=108
Current State: 72:[36, 108], Operations: ['9+27=36', '54*2=108']
Exploring Operation: 108-36=72, Resulting Numbers: [72]
72,72 equal: Goal Reached
| 4 |
[
11,
65,
7,
39
] | 51 | [
"11*7=77",
"65-39=26",
"77-26=51"
] | Current State: 51:[11, 65, 7, 39], Operations: []
Exploring Operation: 11*7=77, Resulting Numbers: [65, 39, 77]
Generated Node #2: [65, 39, 77] from Operation: 11*7=77
Current State: 51:[65, 39, 77], Operations: ['11*7=77']
Exploring Operation: 65-39=26, Resulting Numbers: [77, 26]
Generated Node #3: [77, 26] from Operation: 65-39=26
Current State: 51:[77, 26], Operations: ['11*7=77', '65-39=26']
Exploring Operation: 77-26=51, Resulting Numbers: [51]
51,51 equal: Goal Reached
| 4 |
[
6,
4,
12,
47
] | 73 | [
"6+4=10",
"12*10=120",
"120-47=73"
] | Current State: 73:[6, 4, 12, 47], Operations: []
Exploring Operation: 6+4=10, Resulting Numbers: [12, 47, 10]
Generated Node #2: [12, 47, 10] from Operation: 6+4=10
Current State: 73:[12, 47, 10], Operations: ['6+4=10']
Exploring Operation: 12*10=120, Resulting Numbers: [47, 120]
Generated Node #3: [47, 120] from Operation: 12*10=120
Current State: 73:[47, 120], Operations: ['6+4=10', '12*10=120']
Exploring Operation: 120-47=73, Resulting Numbers: [73]
73,73 equal: Goal Reached
| 4 |
[
18,
2,
71,
73
] | 38 | [
"18*2=36",
"73-71=2",
"36+2=38"
] | Current State: 38:[18, 2, 71, 73], Operations: []
Exploring Operation: 18*2=36, Resulting Numbers: [71, 73, 36]
Generated Node #2: [71, 73, 36] from Operation: 18*2=36
Current State: 38:[71, 73, 36], Operations: ['18*2=36']
Exploring Operation: 73-71=2, Resulting Numbers: [36, 2]
Generated Node #3: [36, 2] from Operation: 73-71=2
Current State: 38:[36, 2], Operations: ['18*2=36', '73-71=2']
Exploring Operation: 36+2=38, Resulting Numbers: [38]
38,38 equal: Goal Reached
| 4 |
[
66,
34,
78,
33
] | 56 | [
"66/33=2",
"34+78=112",
"112/2=56"
] | Current State: 56:[66, 34, 78, 33], Operations: []
Exploring Operation: 66/33=2, Resulting Numbers: [34, 78, 2]
Generated Node #2: [34, 78, 2] from Operation: 66/33=2
Current State: 56:[34, 78, 2], Operations: ['66/33=2']
Exploring Operation: 34+78=112, Resulting Numbers: [2, 112]
Generated Node #3: [2, 112] from Operation: 34+78=112
Current State: 56:[2, 112], Operations: ['66/33=2', '34+78=112']
Exploring Operation: 112/2=56, Resulting Numbers: [56]
56,56 equal: Goal Reached
| 4 |
[
87,
59,
70,
97
] | 21 | [
"87+59=146",
"70+97=167",
"167-146=21"
] | Current State: 21:[87, 59, 70, 97], Operations: []
Exploring Operation: 87+59=146, Resulting Numbers: [70, 97, 146]
Generated Node #2: [70, 97, 146] from Operation: 87+59=146
Current State: 21:[70, 97, 146], Operations: ['87+59=146']
Exploring Operation: 70+97=167, Resulting Numbers: [146, 167]
Generated Node #3: [146, 167] from Operation: 70+97=167
Current State: 21:[146, 167], Operations: ['87+59=146', '70+97=167']
Exploring Operation: 167-146=21, Resulting Numbers: [21]
21,21 equal: Goal Reached
| 4 |
[
11,
39,
19,
35
] | 32 | [
"19-11=8",
"39-35=4",
"8*4=32"
] | Current State: 32:[11, 39, 19, 35], Operations: []
Exploring Operation: 19-11=8, Resulting Numbers: [39, 35, 8]
Generated Node #2: [39, 35, 8] from Operation: 19-11=8
Current State: 32:[39, 35, 8], Operations: ['19-11=8']
Exploring Operation: 39-35=4, Resulting Numbers: [8, 4]
Generated Node #3: [8, 4] from Operation: 39-35=4
Current State: 32:[8, 4], Operations: ['19-11=8', '39-35=4']
Exploring Operation: 8*4=32, Resulting Numbers: [32]
32,32 equal: Goal Reached
| 4 |
[
39,
36,
87,
29
] | 25 | [
"39+36=75",
"87/29=3",
"75/3=25"
] | Current State: 25:[39, 36, 87, 29], Operations: []
Exploring Operation: 39+36=75, Resulting Numbers: [87, 29, 75]
Generated Node #2: [87, 29, 75] from Operation: 39+36=75
Current State: 25:[87, 29, 75], Operations: ['39+36=75']
Exploring Operation: 87/29=3, Resulting Numbers: [75, 3]
Generated Node #3: [75, 3] from Operation: 87/29=3
Current State: 25:[75, 3], Operations: ['39+36=75', '87/29=3']
Exploring Operation: 75/3=25, Resulting Numbers: [25]
25,25 equal: Goal Reached
| 4 |
[
9,
70,
6,
65
] | 40 | [
"9*70=630",
"630/6=105",
"105-65=40"
] | Current State: 40:[9, 70, 6, 65], Operations: []
Exploring Operation: 9*70=630, Resulting Numbers: [6, 65, 630]
Generated Node #2: [6, 65, 630] from Operation: 9*70=630
Current State: 40:[6, 65, 630], Operations: ['9*70=630']
Exploring Operation: 630/6=105, Resulting Numbers: [65, 105]
Generated Node #3: [65, 105] from Operation: 630/6=105
Current State: 40:[65, 105], Operations: ['9*70=630', '630/6=105']
Exploring Operation: 105-65=40, Resulting Numbers: [40]
40,40 equal: Goal Reached
| 4 |
[
98,
26,
44,
23
] | 46 | [
"26+23=49",
"98/49=2",
"44+2=46"
] | Current State: 46:[98, 26, 44, 23], Operations: []
Exploring Operation: 26+23=49, Resulting Numbers: [98, 44, 49]
Generated Node #2: [98, 44, 49] from Operation: 26+23=49
Current State: 46:[98, 44, 49], Operations: ['26+23=49']
Exploring Operation: 98/49=2, Resulting Numbers: [44, 2]
Generated Node #3: [44, 2] from Operation: 98/49=2
Current State: 46:[44, 2], Operations: ['26+23=49', '98/49=2']
Exploring Operation: 44+2=46, Resulting Numbers: [46]
46,46 equal: Goal Reached
| 4 |
[
77,
24,
94,
66
] | 66 | [
"77*24=1848",
"94-66=28",
"1848/28=66"
] | Current State: 66:[77, 24, 94, 66], Operations: []
Exploring Operation: 77*24=1848, Resulting Numbers: [94, 66, 1848]
Generated Node #2: [94, 66, 1848] from Operation: 77*24=1848
Current State: 66:[94, 66, 1848], Operations: ['77*24=1848']
Exploring Operation: 94-66=28, Resulting Numbers: [1848, 28]
Generated Node #3: [1848, 28] from Operation: 94-66=28
Current State: 66:[1848, 28], Operations: ['77*24=1848', '94-66=28']
Exploring Operation: 1848/28=66, Resulting Numbers: [66]
66,66 equal: Goal Reached
| 4 |
[
76,
74,
34,
17
] | 68 | [
"76-74=2",
"17*2=34",
"34+34=68"
] | Current State: 68:[76, 74, 34, 17], Operations: []
Exploring Operation: 76-74=2, Resulting Numbers: [34, 17, 2]
Generated Node #2: [34, 17, 2] from Operation: 76-74=2
Current State: 68:[34, 17, 2], Operations: ['76-74=2']
Exploring Operation: 17*2=34, Resulting Numbers: [34, 34]
Generated Node #3: [34, 34] from Operation: 17*2=34
Current State: 68:[34, 34], Operations: ['76-74=2', '17*2=34']
Exploring Operation: 34+34=68, Resulting Numbers: [68]
68,68 equal: Goal Reached
| 4 |
[
55,
35,
28,
41
] | 77 | [
"55+35=90",
"41-28=13",
"90-13=77"
] | Current State: 77:[55, 35, 28, 41], Operations: []
Exploring Operation: 55+35=90, Resulting Numbers: [28, 41, 90]
Generated Node #2: [28, 41, 90] from Operation: 55+35=90
Current State: 77:[28, 41, 90], Operations: ['55+35=90']
Exploring Operation: 41-28=13, Resulting Numbers: [90, 13]
Generated Node #3: [90, 13] from Operation: 41-28=13
Current State: 77:[90, 13], Operations: ['55+35=90', '41-28=13']
Exploring Operation: 90-13=77, Resulting Numbers: [77]
77,77 equal: Goal Reached
| 4 |
[
13,
97,
42,
50
] | 52 | [
"97-13=84",
"84/42=2",
"50+2=52"
] | Current State: 52:[13, 97, 42, 50], Operations: []
Exploring Operation: 97-13=84, Resulting Numbers: [42, 50, 84]
Generated Node #2: [42, 50, 84] from Operation: 97-13=84
Current State: 52:[42, 50, 84], Operations: ['97-13=84']
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: ['97-13=84', '84/42=2']
Exploring Operation: 50+2=52, Resulting Numbers: [52]
52,52 equal: Goal Reached
| 4 |
[
46,
66,
64,
88
] | 67 | [
"46+88=134",
"66-64=2",
"134/2=67"
] | Current State: 67:[46, 66, 64, 88], Operations: []
Exploring Operation: 46+88=134, Resulting Numbers: [66, 64, 134]
Generated Node #2: [66, 64, 134] from Operation: 46+88=134
Current State: 67:[66, 64, 134], Operations: ['46+88=134']
Exploring Operation: 66-64=2, Resulting Numbers: [134, 2]
Generated Node #3: [134, 2] from Operation: 66-64=2
Current State: 67:[134, 2], Operations: ['46+88=134', '66-64=2']
Exploring Operation: 134/2=67, Resulting Numbers: [67]
67,67 equal: Goal Reached
| 4 |
[
98,
54,
28,
24
] | 100 | [
"98+54=152",
"28+24=52",
"152-52=100"
] | Current State: 100:[98, 54, 28, 24], Operations: []
Exploring Operation: 98+54=152, Resulting Numbers: [28, 24, 152]
Generated Node #2: [28, 24, 152] from Operation: 98+54=152
Current State: 100:[28, 24, 152], Operations: ['98+54=152']
Exploring Operation: 28+24=52, Resulting Numbers: [152, 52]
Generated Node #3: [152, 52] from Operation: 28+24=52
Current State: 100:[152, 52], Operations: ['98+54=152', '28+24=52']
Exploring Operation: 152-52=100, Resulting Numbers: [100]
100,100 equal: Goal Reached
| 4 |
[
64,
63,
46,
84
] | 89 | [
"64+63=127",
"84-46=38",
"127-38=89"
] | Current State: 89:[64, 63, 46, 84], Operations: []
Exploring Operation: 64+63=127, Resulting Numbers: [46, 84, 127]
Generated Node #2: [46, 84, 127] from Operation: 64+63=127
Current State: 89:[46, 84, 127], Operations: ['64+63=127']
Exploring Operation: 84-46=38, Resulting Numbers: [127, 38]
Generated Node #3: [127, 38] from Operation: 84-46=38
Current State: 89:[127, 38], Operations: ['64+63=127', '84-46=38']
Exploring Operation: 127-38=89, Resulting Numbers: [89]
89,89 equal: Goal Reached
| 4 |
[
65,
42,
93,
63
] | 53 | [
"65-42=23",
"93-63=30",
"23+30=53"
] | Current State: 53:[65, 42, 93, 63], Operations: []
Exploring Operation: 65-42=23, Resulting Numbers: [93, 63, 23]
Generated Node #2: [93, 63, 23] from Operation: 65-42=23
Current State: 53:[93, 63, 23], Operations: ['65-42=23']
Exploring Operation: 93-63=30, Resulting Numbers: [23, 30]
Generated Node #3: [23, 30] from Operation: 93-63=30
Current State: 53:[23, 30], Operations: ['65-42=23', '93-63=30']
Exploring Operation: 23+30=53, Resulting Numbers: [53]
53,53 equal: Goal Reached
| 4 |
[
1,
27,
9,
39
] | 58 | [
"1+27=28",
"39-9=30",
"28+30=58"
] | Current State: 58:[1, 27, 9, 39], Operations: []
Exploring Operation: 1+27=28, Resulting Numbers: [9, 39, 28]
Generated Node #2: [9, 39, 28] from Operation: 1+27=28
Current State: 58:[9, 39, 28], Operations: ['1+27=28']
Exploring Operation: 39-9=30, Resulting Numbers: [28, 30]
Generated Node #3: [28, 30] from Operation: 39-9=30
Current State: 58:[28, 30], Operations: ['1+27=28', '39-9=30']
Exploring Operation: 28+30=58, Resulting Numbers: [58]
58,58 equal: Goal Reached
| 4 |
[
8,
9,
12,
8
] | 22 | [
"8/8=1",
"9+12=21",
"1+21=22"
] | Current State: 22:[8, 9, 12, 8], Operations: []
Exploring Operation: 8/8=1, Resulting Numbers: [9, 12, 1]
Generated Node #2: [9, 12, 1] from Operation: 8/8=1
Current State: 22:[9, 12, 1], Operations: ['8/8=1']
Exploring Operation: 9+12=21, Resulting Numbers: [1, 21]
Generated Node #3: [1, 21] from Operation: 9+12=21
Current State: 22:[1, 21], Operations: ['8/8=1', '9+12=21']
Exploring Operation: 1+21=22, Resulting Numbers: [22]
22,22 equal: Goal Reached
| 4 |
[
20,
59,
20,
15
] | 41 | [
"20-15=5",
"20*5=100",
"100-59=41"
] | Current State: 41:[20, 59, 20, 15], Operations: []
Exploring Operation: 20-15=5, Resulting Numbers: [59, 5]
Generated Node #2: [59, 5] from Operation: 20-15=5
Current State: 41:[59, 5], Operations: ['20-15=5']
Exploring Operation: 20*5=100, Resulting Numbers: [59, 100]
Generated Node #3: [59, 100] from Operation: 20*5=100
Current State: 41:[59, 100], Operations: ['20-15=5', '20*5=100']
Exploring Operation: 100-59=41, Resulting Numbers: [41]
41,41 equal: Goal Reached
| 4 |
[
12,
67,
11,
46
] | 44 | [
"12+67=79",
"46-11=35",
"79-35=44"
] | Current State: 44:[12, 67, 11, 46], Operations: []
Exploring Operation: 12+67=79, Resulting Numbers: [11, 46, 79]
Generated Node #2: [11, 46, 79] from Operation: 12+67=79
Current State: 44:[11, 46, 79], Operations: ['12+67=79']
Exploring Operation: 46-11=35, Resulting Numbers: [79, 35]
Generated Node #3: [79, 35] from Operation: 46-11=35
Current State: 44:[79, 35], Operations: ['12+67=79', '46-11=35']
Exploring Operation: 79-35=44, Resulting Numbers: [44]
44,44 equal: Goal Reached
| 4 |
[
40,
19,
41,
18
] | 59 | [
"40*18=720",
"19*41=779",
"779-720=59"
] | Current State: 59:[40, 19, 41, 18], Operations: []
Exploring Operation: 40*18=720, Resulting Numbers: [19, 41, 720]
Generated Node #2: [19, 41, 720] from Operation: 40*18=720
Current State: 59:[19, 41, 720], Operations: ['40*18=720']
Exploring Operation: 19*41=779, Resulting Numbers: [720, 779]
Generated Node #3: [720, 779] from Operation: 19*41=779
Current State: 59:[720, 779], Operations: ['40*18=720', '19*41=779']
Exploring Operation: 779-720=59, Resulting Numbers: [59]
59,59 equal: Goal Reached
| 4 |
[
63,
80,
71,
51
] | 67 | [
"71-51=20",
"80/20=4",
"63+4=67"
] | Current State: 67:[63, 80, 71, 51], Operations: []
Exploring Operation: 71-51=20, Resulting Numbers: [63, 80, 20]
Generated Node #2: [63, 80, 20] from Operation: 71-51=20
Current State: 67:[63, 80, 20], Operations: ['71-51=20']
Exploring Operation: 80/20=4, Resulting Numbers: [63, 4]
Generated Node #3: [63, 4] from Operation: 80/20=4
Current State: 67:[63, 4], Operations: ['71-51=20', '80/20=4']
Exploring Operation: 63+4=67, Resulting Numbers: [67]
67,67 equal: Goal Reached
| 4 |
[
17,
9,
2,
64
] | 28 | [
"17-9=8",
"64-8=56",
"56/2=28"
] | Current State: 28:[17, 9, 2, 64], Operations: []
Exploring Operation: 17-9=8, Resulting Numbers: [2, 64, 8]
Generated Node #2: [2, 64, 8] from Operation: 17-9=8
Current State: 28:[2, 64, 8], Operations: ['17-9=8']
Exploring Operation: 64-8=56, Resulting Numbers: [2, 56]
Generated Node #3: [2, 56] from Operation: 64-8=56
Current State: 28:[2, 56], Operations: ['17-9=8', '64-8=56']
Exploring Operation: 56/2=28, Resulting Numbers: [28]
28,28 equal: Goal Reached
| 4 |
[
54,
32,
10,
9
] | 16 | [
"54/9=6",
"32-10=22",
"22-6=16"
] | Current State: 16:[54, 32, 10, 9], Operations: []
Exploring Operation: 54/9=6, Resulting Numbers: [32, 10, 6]
Generated Node #2: [32, 10, 6] from Operation: 54/9=6
Current State: 16:[32, 10, 6], Operations: ['54/9=6']
Exploring Operation: 32-10=22, Resulting Numbers: [6, 22]
Generated Node #3: [6, 22] from Operation: 32-10=22
Current State: 16:[6, 22], Operations: ['54/9=6', '32-10=22']
Exploring Operation: 22-6=16, Resulting Numbers: [16]
16,16 equal: Goal Reached
| 4 |
[
47,
64,
55,
74
] | 82 | [
"55-47=8",
"64/8=8",
"74+8=82"
] | Current State: 82:[47, 64, 55, 74], Operations: []
Exploring Operation: 55-47=8, Resulting Numbers: [64, 74, 8]
Generated Node #2: [64, 74, 8] from Operation: 55-47=8
Current State: 82:[64, 74, 8], Operations: ['55-47=8']
Exploring Operation: 64/8=8, Resulting Numbers: [74, 8]
Generated Node #3: [74, 8] from Operation: 64/8=8
Current State: 82:[74, 8], Operations: ['55-47=8', '64/8=8']
Exploring Operation: 74+8=82, Resulting Numbers: [82]
82,82 equal: Goal Reached
| 4 |
[
47,
8,
79,
24
] | 42 | [
"47+79=126",
"24/8=3",
"126/3=42"
] | Current State: 42:[47, 8, 79, 24], Operations: []
Exploring Operation: 47+79=126, Resulting Numbers: [8, 24, 126]
Generated Node #2: [8, 24, 126] from Operation: 47+79=126
Current State: 42:[8, 24, 126], Operations: ['47+79=126']
Exploring Operation: 24/8=3, Resulting Numbers: [126, 3]
Generated Node #3: [126, 3] from Operation: 24/8=3
Current State: 42:[126, 3], Operations: ['47+79=126', '24/8=3']
Exploring Operation: 126/3=42, Resulting Numbers: [42]
42,42 equal: Goal Reached
| 4 |
[
37,
19,
33,
98
] | 30 | [
"33-19=14",
"98/14=7",
"37-7=30"
] | Current State: 30:[37, 19, 33, 98], Operations: []
Exploring Operation: 33-19=14, Resulting Numbers: [37, 98, 14]
Generated Node #2: [37, 98, 14] from Operation: 33-19=14
Current State: 30:[37, 98, 14], Operations: ['33-19=14']
Exploring Operation: 98/14=7, Resulting Numbers: [37, 7]
Generated Node #3: [37, 7] from Operation: 98/14=7
Current State: 30:[37, 7], Operations: ['33-19=14', '98/14=7']
Exploring Operation: 37-7=30, Resulting Numbers: [30]
30,30 equal: Goal Reached
| 4 |
[
69,
90,
2,
98
] | 13 | [
"69+98=167",
"90*2=180",
"180-167=13"
] | Current State: 13:[69, 90, 2, 98], Operations: []
Exploring Operation: 69+98=167, Resulting Numbers: [90, 2, 167]
Generated Node #2: [90, 2, 167] from Operation: 69+98=167
Current State: 13:[90, 2, 167], Operations: ['69+98=167']
Exploring Operation: 90*2=180, Resulting Numbers: [167, 180]
Generated Node #3: [167, 180] from Operation: 90*2=180
Current State: 13:[167, 180], Operations: ['69+98=167', '90*2=180']
Exploring Operation: 180-167=13, Resulting Numbers: [13]
13,13 equal: Goal Reached
| 4 |
[
40,
16,
8,
80
] | 40 | [
"40-8=32",
"16*80=1280",
"1280/32=40"
] | Current State: 40:[40, 16, 8, 80], Operations: []
Exploring Operation: 40-8=32, Resulting Numbers: [16, 80, 32]
Generated Node #2: [16, 80, 32] from Operation: 40-8=32
Current State: 40:[16, 80, 32], Operations: ['40-8=32']
Exploring Operation: 16*80=1280, Resulting Numbers: [32, 1280]
Generated Node #3: [32, 1280] from Operation: 16*80=1280
Current State: 40:[32, 1280], Operations: ['40-8=32', '16*80=1280']
Exploring Operation: 1280/32=40, Resulting Numbers: [40]
40,40 equal: Goal Reached
| 4 |
[
1,
32,
96,
89
] | 40 | [
"1+32=33",
"96-89=7",
"33+7=40"
] | Current State: 40:[1, 32, 96, 89], Operations: []
Exploring Operation: 1+32=33, Resulting Numbers: [96, 89, 33]
Generated Node #2: [96, 89, 33] from Operation: 1+32=33
Current State: 40:[96, 89, 33], Operations: ['1+32=33']
Exploring Operation: 96-89=7, Resulting Numbers: [33, 7]
Generated Node #3: [33, 7] from Operation: 96-89=7
Current State: 40:[33, 7], Operations: ['1+32=33', '96-89=7']
Exploring Operation: 33+7=40, Resulting Numbers: [40]
40,40 equal: Goal Reached
| 4 |
[
20,
23,
45,
55
] | 21 | [
"55-45=10",
"20/10=2",
"23-2=21"
] | Current State: 21:[20, 23, 45, 55], Operations: []
Exploring Operation: 55-45=10, Resulting Numbers: [20, 23, 10]
Generated Node #2: [20, 23, 10] from Operation: 55-45=10
Current State: 21:[20, 23, 10], Operations: ['55-45=10']
Exploring Operation: 20/10=2, Resulting Numbers: [23, 2]
Generated Node #3: [23, 2] from Operation: 20/10=2
Current State: 21:[23, 2], Operations: ['55-45=10', '20/10=2']
Exploring Operation: 23-2=21, Resulting Numbers: [21]
21,21 equal: Goal Reached
| 4 |
[
8,
23,
34,
84
] | 30 | [
"8+84=92",
"92/23=4",
"34-4=30"
] | Current State: 30:[8, 23, 34, 84], Operations: []
Exploring Operation: 8+84=92, Resulting Numbers: [23, 34, 92]
Generated Node #2: [23, 34, 92] from Operation: 8+84=92
Current State: 30:[23, 34, 92], Operations: ['8+84=92']
Exploring Operation: 92/23=4, Resulting Numbers: [34, 4]
Generated Node #3: [34, 4] from Operation: 92/23=4
Current State: 30:[34, 4], Operations: ['8+84=92', '92/23=4']
Exploring Operation: 34-4=30, Resulting Numbers: [30]
30,30 equal: Goal Reached
| 4 |
[
71,
20,
89,
9
] | 75 | [
"89-9=80",
"80/20=4",
"71+4=75"
] | Current State: 75:[71, 20, 89, 9], Operations: []
Exploring Operation: 89-9=80, Resulting Numbers: [71, 20, 80]
Generated Node #2: [71, 20, 80] from Operation: 89-9=80
Current State: 75:[71, 20, 80], Operations: ['89-9=80']
Exploring Operation: 80/20=4, Resulting Numbers: [71, 4]
Generated Node #3: [71, 4] from Operation: 80/20=4
Current State: 75:[71, 4], Operations: ['89-9=80', '80/20=4']
Exploring Operation: 71+4=75, Resulting Numbers: [75]
75,75 equal: Goal Reached
| 4 |
[
94,
56,
68,
52
] | 77 | [
"56-52=4",
"68/4=17",
"94-17=77"
] | Current State: 77:[94, 56, 68, 52], Operations: []
Exploring Operation: 56-52=4, Resulting Numbers: [94, 68, 4]
Generated Node #2: [94, 68, 4] from Operation: 56-52=4
Current State: 77:[94, 68, 4], Operations: ['56-52=4']
Exploring Operation: 68/4=17, Resulting Numbers: [94, 17]
Generated Node #3: [94, 17] from Operation: 68/4=17
Current State: 77:[94, 17], Operations: ['56-52=4', '68/4=17']
Exploring Operation: 94-17=77, Resulting Numbers: [77]
77,77 equal: Goal Reached
| 4 |
[
41,
70,
21,
4
] | 86 | [
"41+70=111",
"21+4=25",
"111-25=86"
] | Current State: 86:[41, 70, 21, 4], Operations: []
Exploring Operation: 41+70=111, Resulting Numbers: [21, 4, 111]
Generated Node #2: [21, 4, 111] from Operation: 41+70=111
Current State: 86:[21, 4, 111], Operations: ['41+70=111']
Exploring Operation: 21+4=25, Resulting Numbers: [111, 25]
Generated Node #3: [111, 25] from Operation: 21+4=25
Current State: 86:[111, 25], Operations: ['41+70=111', '21+4=25']
Exploring Operation: 111-25=86, Resulting Numbers: [86]
86,86 equal: Goal Reached
| 4 |
[
8,
46,
7,
34
] | 81 | [
"8+46=54",
"34-7=27",
"54+27=81"
] | Current State: 81:[8, 46, 7, 34], Operations: []
Exploring Operation: 8+46=54, Resulting Numbers: [7, 34, 54]
Generated Node #2: [7, 34, 54] from Operation: 8+46=54
Current State: 81:[7, 34, 54], Operations: ['8+46=54']
Exploring Operation: 34-7=27, Resulting Numbers: [54, 27]
Generated Node #3: [54, 27] from Operation: 34-7=27
Current State: 81:[54, 27], Operations: ['8+46=54', '34-7=27']
Exploring Operation: 54+27=81, Resulting Numbers: [81]
81,81 equal: Goal Reached
| 4 |
[
18,
32,
61,
8
] | 11 | [
"18*32=576",
"576/8=72",
"72-61=11"
] | Current State: 11:[18, 32, 61, 8], Operations: []
Exploring Operation: 18*32=576, Resulting Numbers: [61, 8, 576]
Generated Node #2: [61, 8, 576] from Operation: 18*32=576
Current State: 11:[61, 8, 576], Operations: ['18*32=576']
Exploring Operation: 576/8=72, Resulting Numbers: [61, 72]
Generated Node #3: [61, 72] from Operation: 576/8=72
Current State: 11:[61, 72], Operations: ['18*32=576', '576/8=72']
Exploring Operation: 72-61=11, Resulting Numbers: [11]
11,11 equal: Goal Reached
| 4 |
[
53,
54,
42,
47
] | 90 | [
"54-53=1",
"42+47=89",
"1+89=90"
] | Current State: 90:[53, 54, 42, 47], Operations: []
Exploring Operation: 54-53=1, Resulting Numbers: [42, 47, 1]
Generated Node #2: [42, 47, 1] from Operation: 54-53=1
Current State: 90:[42, 47, 1], Operations: ['54-53=1']
Exploring Operation: 42+47=89, Resulting Numbers: [1, 89]
Generated Node #3: [1, 89] from Operation: 42+47=89
Current State: 90:[1, 89], Operations: ['54-53=1', '42+47=89']
Exploring Operation: 1+89=90, Resulting Numbers: [90]
90,90 equal: Goal Reached
| 4 |
[
3,
29,
6,
33
] | 46 | [
"33/3=11",
"29+6=35",
"11+35=46"
] | Current State: 46:[3, 29, 6, 33], Operations: []
Exploring Operation: 33/3=11, Resulting Numbers: [29, 6, 11]
Generated Node #2: [29, 6, 11] from Operation: 33/3=11
Current State: 46:[29, 6, 11], Operations: ['33/3=11']
Exploring Operation: 29+6=35, Resulting Numbers: [11, 35]
Generated Node #3: [11, 35] from Operation: 29+6=35
Current State: 46:[11, 35], Operations: ['33/3=11', '29+6=35']
Exploring Operation: 11+35=46, Resulting Numbers: [46]
46,46 equal: Goal Reached
| 4 |
[
4,
2,
45,
2
] | 55 | [
"4*2=8",
"45+2=47",
"8+47=55"
] | Current State: 55:[4, 2, 45, 2], Operations: []
Exploring Operation: 4*2=8, Resulting Numbers: [45, 8]
Generated Node #2: [45, 8] from Operation: 4*2=8
Current State: 55:[45, 8], Operations: ['4*2=8']
Exploring Operation: 45+2=47, Resulting Numbers: [8, 47]
Generated Node #3: [8, 47] from Operation: 45+2=47
Current State: 55:[8, 47], Operations: ['4*2=8', '45+2=47']
Exploring Operation: 8+47=55, Resulting Numbers: [55]
55,55 equal: Goal Reached
| 4 |
[
21,
50,
75,
29
] | 43 | [
"21*50=1050",
"1050/75=14",
"29+14=43"
] | Current State: 43:[21, 50, 75, 29], Operations: []
Exploring Operation: 21*50=1050, Resulting Numbers: [75, 29, 1050]
Generated Node #2: [75, 29, 1050] from Operation: 21*50=1050
Current State: 43:[75, 29, 1050], Operations: ['21*50=1050']
Exploring Operation: 1050/75=14, Resulting Numbers: [29, 14]
Generated Node #3: [29, 14] from Operation: 1050/75=14
Current State: 43:[29, 14], Operations: ['21*50=1050', '1050/75=14']
Exploring Operation: 29+14=43, Resulting Numbers: [43]
43,43 equal: Goal Reached
| 4 |
[
81,
87,
78,
14
] | 43 | [
"81-78=3",
"87/3=29",
"14+29=43"
] | Current State: 43:[81, 87, 78, 14], Operations: []
Exploring Operation: 81-78=3, Resulting Numbers: [87, 14, 3]
Generated Node #2: [87, 14, 3] from Operation: 81-78=3
Current State: 43:[87, 14, 3], Operations: ['81-78=3']
Exploring Operation: 87/3=29, Resulting Numbers: [14, 29]
Generated Node #3: [14, 29] from Operation: 87/3=29
Current State: 43:[14, 29], Operations: ['81-78=3', '87/3=29']
Exploring Operation: 14+29=43, Resulting Numbers: [43]
43,43 equal: Goal Reached
| 4 |
[
97,
8,
47,
15
] | 43 | [
"97+8=105",
"47+15=62",
"105-62=43"
] | Current State: 43:[97, 8, 47, 15], Operations: []
Exploring Operation: 97+8=105, Resulting Numbers: [47, 15, 105]
Generated Node #2: [47, 15, 105] from Operation: 97+8=105
Current State: 43:[47, 15, 105], Operations: ['97+8=105']
Exploring Operation: 47+15=62, Resulting Numbers: [105, 62]
Generated Node #3: [105, 62] from Operation: 47+15=62
Current State: 43:[105, 62], Operations: ['97+8=105', '47+15=62']
Exploring Operation: 105-62=43, Resulting Numbers: [43]
43,43 equal: Goal Reached
| 4 |
[
66,
58,
73,
54
] | 27 | [
"66-58=8",
"73-54=19",
"8+19=27"
] | Current State: 27:[66, 58, 73, 54], Operations: []
Exploring Operation: 66-58=8, Resulting Numbers: [73, 54, 8]
Generated Node #2: [73, 54, 8] from Operation: 66-58=8
Current State: 27:[73, 54, 8], Operations: ['66-58=8']
Exploring Operation: 73-54=19, Resulting Numbers: [8, 19]
Generated Node #3: [8, 19] from Operation: 73-54=19
Current State: 27:[8, 19], Operations: ['66-58=8', '73-54=19']
Exploring Operation: 8+19=27, Resulting Numbers: [27]
27,27 equal: Goal Reached
| 4 |
[
40,
25,
50,
89
] | 80 | [
"89-25=64",
"50*64=3200",
"3200/40=80"
] | Current State: 80:[40, 25, 50, 89], Operations: []
Exploring Operation: 89-25=64, Resulting Numbers: [40, 50, 64]
Generated Node #2: [40, 50, 64] from Operation: 89-25=64
Current State: 80:[40, 50, 64], Operations: ['89-25=64']
Exploring Operation: 50*64=3200, Resulting Numbers: [40, 3200]
Generated Node #3: [40, 3200] from Operation: 50*64=3200
Current State: 80:[40, 3200], Operations: ['89-25=64', '50*64=3200']
Exploring Operation: 3200/40=80, Resulting Numbers: [80]
80,80 equal: Goal Reached
| 4 |
[
41,
2,
30,
67
] | 54 | [
"41+2=43",
"30+67=97",
"97-43=54"
] | Current State: 54:[41, 2, 30, 67], Operations: []
Exploring Operation: 41+2=43, Resulting Numbers: [30, 67, 43]
Generated Node #2: [30, 67, 43] from Operation: 41+2=43
Current State: 54:[30, 67, 43], Operations: ['41+2=43']
Exploring Operation: 30+67=97, Resulting Numbers: [43, 97]
Generated Node #3: [43, 97] from Operation: 30+67=97
Current State: 54:[43, 97], Operations: ['41+2=43', '30+67=97']
Exploring Operation: 97-43=54, Resulting Numbers: [54]
54,54 equal: Goal Reached
| 4 |
[
7,
28,
75,
2
] | 46 | [
"7*28=196",
"75*2=150",
"196-150=46"
] | Current State: 46:[7, 28, 75, 2], Operations: []
Exploring Operation: 7*28=196, Resulting Numbers: [75, 2, 196]
Generated Node #2: [75, 2, 196] from Operation: 7*28=196
Current State: 46:[75, 2, 196], Operations: ['7*28=196']
Exploring Operation: 75*2=150, Resulting Numbers: [196, 150]
Generated Node #3: [196, 150] from Operation: 75*2=150
Current State: 46:[196, 150], Operations: ['7*28=196', '75*2=150']
Exploring Operation: 196-150=46, Resulting Numbers: [46]
46,46 equal: Goal Reached
| 4 |
[
6,
19,
47,
47
] | 36 | [
"19+47=66",
"66/6=11",
"47-11=36"
] | Current State: 36:[6, 19, 47, 47], Operations: []
Exploring Operation: 19+47=66, Resulting Numbers: [6, 66]
Generated Node #2: [6, 66] from Operation: 19+47=66
Current State: 36:[6, 66], Operations: ['19+47=66']
Exploring Operation: 66/6=11, Resulting Numbers: [11]
11,36 equal: Goal Reached
Exploring Operation: 47-11=36, Resulting Numbers: [36]
36,36 equal: Goal Reached
| 4 |
[
30,
28,
33,
98
] | 72 | [
"30*98=2940",
"2940/28=105",
"105-33=72"
] | Current State: 72:[30, 28, 33, 98], Operations: []
Exploring Operation: 30*98=2940, Resulting Numbers: [28, 33, 2940]
Generated Node #2: [28, 33, 2940] from Operation: 30*98=2940
Current State: 72:[28, 33, 2940], Operations: ['30*98=2940']
Exploring Operation: 2940/28=105, Resulting Numbers: [33, 105]
Generated Node #3: [33, 105] from Operation: 2940/28=105
Current State: 72:[33, 105], Operations: ['30*98=2940', '2940/28=105']
Exploring Operation: 105-33=72, Resulting Numbers: [72]
72,72 equal: Goal Reached
| 4 |
[
24,
38,
19,
12
] | 98 | [
"38-24=14",
"19-12=7",
"14*7=98"
] | Current State: 98:[24, 38, 19, 12], Operations: []
Exploring Operation: 38-24=14, Resulting Numbers: [19, 12, 14]
Generated Node #2: [19, 12, 14] from Operation: 38-24=14
Current State: 98:[19, 12, 14], Operations: ['38-24=14']
Exploring Operation: 19-12=7, Resulting Numbers: [14, 7]
Generated Node #3: [14, 7] from Operation: 19-12=7
Current State: 98:[14, 7], Operations: ['38-24=14', '19-12=7']
Exploring Operation: 14*7=98, Resulting Numbers: [98]
98,98 equal: Goal Reached
| 4 |
[
42,
40,
86,
66
] | 84 | [
"42*40=1680",
"86-66=20",
"1680/20=84"
] | Current State: 84:[42, 40, 86, 66], Operations: []
Exploring Operation: 42*40=1680, Resulting Numbers: [86, 66, 1680]
Generated Node #2: [86, 66, 1680] from Operation: 42*40=1680
Current State: 84:[86, 66, 1680], Operations: ['42*40=1680']
Exploring Operation: 86-66=20, Resulting Numbers: [1680, 20]
Generated Node #3: [1680, 20] from Operation: 86-66=20
Current State: 84:[1680, 20], Operations: ['42*40=1680', '86-66=20']
Exploring Operation: 1680/20=84, Resulting Numbers: [84]
84,84 equal: Goal Reached
| 4 |
[
21,
90,
34,
13
] | 91 | [
"34-21=13",
"13/13=1",
"90+1=91"
] | Current State: 91:[21, 90, 34, 13], Operations: []
Exploring Operation: 34-21=13, Resulting Numbers: [90, 13, 13]
Generated Node #2: [90, 13, 13] from Operation: 34-21=13
Current State: 91:[90, 13, 13], Operations: ['34-21=13']
Exploring Operation: 13/13=1, Resulting Numbers: [90, 1]
Generated Node #3: [90, 1] from Operation: 13/13=1
Current State: 91:[90, 1], Operations: ['34-21=13', '13/13=1']
Exploring Operation: 90+1=91, Resulting Numbers: [91]
91,91 equal: Goal Reached
| 4 |
[
24,
74,
80,
68
] | 62 | [
"74-24=50",
"80-68=12",
"50+12=62"
] | Current State: 62:[24, 74, 80, 68], Operations: []
Exploring Operation: 74-24=50, Resulting Numbers: [80, 68, 50]
Generated Node #2: [80, 68, 50] from Operation: 74-24=50
Current State: 62:[80, 68, 50], Operations: ['74-24=50']
Exploring Operation: 80-68=12, Resulting Numbers: [50, 12]
Generated Node #3: [50, 12] from Operation: 80-68=12
Current State: 62:[50, 12], Operations: ['74-24=50', '80-68=12']
Exploring Operation: 50+12=62, Resulting Numbers: [62]
62,62 equal: Goal Reached
| 4 |
[
7,
84,
23,
90
] | 10 | [
"84-7=77",
"90-23=67",
"77-67=10"
] | Current State: 10:[7, 84, 23, 90], Operations: []
Exploring Operation: 84-7=77, Resulting Numbers: [23, 90, 77]
Generated Node #2: [23, 90, 77] from Operation: 84-7=77
Current State: 10:[23, 90, 77], Operations: ['84-7=77']
Exploring Operation: 90-23=67, Resulting Numbers: [77, 67]
Generated Node #3: [77, 67] from Operation: 90-23=67
Current State: 10:[77, 67], Operations: ['84-7=77', '90-23=67']
Exploring Operation: 77-67=10, Resulting Numbers: [10]
10,10 equal: Goal Reached
| 4 |
[
61,
44,
2,
23
] | 16 | [
"61-23=38",
"44/2=22",
"38-22=16"
] | Current State: 16:[61, 44, 2, 23], Operations: []
Exploring Operation: 61-23=38, Resulting Numbers: [44, 2, 38]
Generated Node #2: [44, 2, 38] from Operation: 61-23=38
Current State: 16:[44, 2, 38], Operations: ['61-23=38']
Exploring Operation: 44/2=22, Resulting Numbers: [38, 22]
Generated Node #3: [38, 22] from Operation: 44/2=22
Current State: 16:[38, 22], Operations: ['61-23=38', '44/2=22']
Exploring Operation: 38-22=16, Resulting Numbers: [16]
16,16 equal: Goal Reached
| 4 |
[
53,
52,
6,
7
] | 49 | [
"53-52=1",
"6+1=7",
"7*7=49"
] | Current State: 49:[53, 52, 6, 7], Operations: []
Exploring Operation: 53-52=1, Resulting Numbers: [6, 7, 1]
Generated Node #2: [6, 7, 1] from Operation: 53-52=1
Current State: 49:[6, 7, 1], Operations: ['53-52=1']
Exploring Operation: 6+1=7, Resulting Numbers: [7, 7]
Generated Node #3: [7, 7] from Operation: 6+1=7
Current State: 49:[7, 7], Operations: ['53-52=1', '6+1=7']
Exploring Operation: 7*7=49, Resulting Numbers: [49]
49,49 equal: Goal Reached
| 4 |
[
60,
64,
89,
67
] | 32 | [
"60+64=124",
"89+67=156",
"156-124=32"
] | Current State: 32:[60, 64, 89, 67], Operations: []
Exploring Operation: 60+64=124, Resulting Numbers: [89, 67, 124]
Generated Node #2: [89, 67, 124] from Operation: 60+64=124
Current State: 32:[89, 67, 124], Operations: ['60+64=124']
Exploring Operation: 89+67=156, Resulting Numbers: [124, 156]
Generated Node #3: [124, 156] from Operation: 89+67=156
Current State: 32:[124, 156], Operations: ['60+64=124', '89+67=156']
Exploring Operation: 156-124=32, Resulting Numbers: [32]
32,32 equal: Goal Reached
| 4 |
[
85,
31,
21,
98
] | 39 | [
"85+31=116",
"98-21=77",
"116-77=39"
] | Current State: 39:[85, 31, 21, 98], Operations: []
Exploring Operation: 85+31=116, Resulting Numbers: [21, 98, 116]
Generated Node #2: [21, 98, 116] from Operation: 85+31=116
Current State: 39:[21, 98, 116], Operations: ['85+31=116']
Exploring Operation: 98-21=77, Resulting Numbers: [116, 77]
Generated Node #3: [116, 77] from Operation: 98-21=77
Current State: 39:[116, 77], Operations: ['85+31=116', '98-21=77']
Exploring Operation: 116-77=39, Resulting Numbers: [39]
39,39 equal: Goal Reached
| 4 |
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