nums listlengths 4 4 | target int64 10 100 | solution listlengths 3 3 | optimal_path stringlengths 282 529 | start_size int64 4 4 |
|---|---|---|---|---|
[
77,
73,
27,
27
] | 81 | [
"77-73=4",
"27*4=108",
"108-27=81"
] | Current State: 81:[77, 73, 27, 27], Operations: []
Exploring Operation: 77-73=4, Resulting Numbers: [27, 27, 4]
Generated Node #2: [27, 27, 4] from Operation: 77-73=4
Current State: 81:[27, 27, 4], Operations: ['77-73=4']
Exploring Operation: 27*4=108, Resulting Numbers: [108]
108,81 equal: Goal Reached
Exploring Operation: 108-27=81, Resulting Numbers: [81]
81,81 equal: Goal Reached
| 4 |
[
30,
45,
69,
8
] | 62 | [
"45-30=15",
"69+8=77",
"77-15=62"
] | Current State: 62:[30, 45, 69, 8], Operations: []
Exploring Operation: 45-30=15, Resulting Numbers: [69, 8, 15]
Generated Node #2: [69, 8, 15] from Operation: 45-30=15
Current State: 62:[69, 8, 15], Operations: ['45-30=15']
Exploring Operation: 69+8=77, Resulting Numbers: [15, 77]
Generated Node #3: [15, 77] from Operation: 69+8=77
Current State: 62:[15, 77], Operations: ['45-30=15', '69+8=77']
Exploring Operation: 77-15=62, Resulting Numbers: [62]
62,62 equal: Goal Reached
| 4 |
[
4,
12,
37,
22
] | 33 | [
"4*12=48",
"37-22=15",
"48-15=33"
] | Current State: 33:[4, 12, 37, 22], Operations: []
Exploring Operation: 4*12=48, Resulting Numbers: [37, 22, 48]
Generated Node #2: [37, 22, 48] from Operation: 4*12=48
Current State: 33:[37, 22, 48], Operations: ['4*12=48']
Exploring Operation: 37-22=15, Resulting Numbers: [48, 15]
Generated Node #3: [48, 15] from Operation: 37-22=15
Current State: 33:[48, 15], Operations: ['4*12=48', '37-22=15']
Exploring Operation: 48-15=33, Resulting Numbers: [33]
33,33 equal: Goal Reached
| 4 |
[
30,
28,
53,
29
] | 51 | [
"30+28=58",
"58/29=2",
"53-2=51"
] | Current State: 51:[30, 28, 53, 29], Operations: []
Exploring Operation: 30+28=58, Resulting Numbers: [53, 29, 58]
Generated Node #2: [53, 29, 58] from Operation: 30+28=58
Current State: 51:[53, 29, 58], Operations: ['30+28=58']
Exploring Operation: 58/29=2, Resulting Numbers: [53, 2]
Generated Node #3: [53, 2] from Operation: 58/29=2
Current State: 51:[53, 2], Operations: ['30+28=58', '58/29=2']
Exploring Operation: 53-2=51, Resulting Numbers: [51]
51,51 equal: Goal Reached
| 4 |
[
93,
50,
57,
50
] | 93 | [
"50-50=0",
"57*0=0",
"93+0=93"
] | Current State: 93:[93, 50, 57, 50], Operations: []
Exploring Operation: 50-50=0, Resulting Numbers: [93, 57, 0]
Generated Node #2: [93, 57, 0] from Operation: 50-50=0
Current State: 93:[93, 57, 0], Operations: ['50-50=0']
Exploring Operation: 57*0=0, Resulting Numbers: [93, 0]
Generated Node #3: [93, 0] from Operation: 57*0=0
Current State: 93:[93, 0], Operations: ['50-50=0', '57*0=0']
Exploring Operation: 93+0=93, Resulting Numbers: [93]
93,93 equal: Goal Reached
| 4 |
[
37,
10,
96,
83
] | 34 | [
"37+10=47",
"96-83=13",
"47-13=34"
] | Current State: 34:[37, 10, 96, 83], Operations: []
Exploring Operation: 37+10=47, Resulting Numbers: [96, 83, 47]
Generated Node #2: [96, 83, 47] from Operation: 37+10=47
Current State: 34:[96, 83, 47], Operations: ['37+10=47']
Exploring Operation: 96-83=13, Resulting Numbers: [47, 13]
Generated Node #3: [47, 13] from Operation: 96-83=13
Current State: 34:[47, 13], Operations: ['37+10=47', '96-83=13']
Exploring Operation: 47-13=34, Resulting Numbers: [34]
34,34 equal: Goal Reached
| 4 |
[
5,
97,
26,
55
] | 73 | [
"5+97=102",
"55-26=29",
"102-29=73"
] | Current State: 73:[5, 97, 26, 55], Operations: []
Exploring Operation: 5+97=102, Resulting Numbers: [26, 55, 102]
Generated Node #2: [26, 55, 102] from Operation: 5+97=102
Current State: 73:[26, 55, 102], Operations: ['5+97=102']
Exploring Operation: 55-26=29, Resulting Numbers: [102, 29]
Generated Node #3: [102, 29] from Operation: 55-26=29
Current State: 73:[102, 29], Operations: ['5+97=102', '55-26=29']
Exploring Operation: 102-29=73, Resulting Numbers: [73]
73,73 equal: Goal Reached
| 4 |
[
68,
24,
57,
36
] | 65 | [
"68-24=44",
"57-36=21",
"44+21=65"
] | Current State: 65:[68, 24, 57, 36], Operations: []
Exploring Operation: 68-24=44, Resulting Numbers: [57, 36, 44]
Generated Node #2: [57, 36, 44] from Operation: 68-24=44
Current State: 65:[57, 36, 44], Operations: ['68-24=44']
Exploring Operation: 57-36=21, Resulting Numbers: [44, 21]
Generated Node #3: [44, 21] from Operation: 57-36=21
Current State: 65:[44, 21], Operations: ['68-24=44', '57-36=21']
Exploring Operation: 44+21=65, Resulting Numbers: [65]
65,65 equal: Goal Reached
| 4 |
[
68,
96,
82,
24
] | 10 | [
"82-68=14",
"96/24=4",
"14-4=10"
] | Current State: 10:[68, 96, 82, 24], Operations: []
Exploring Operation: 82-68=14, Resulting Numbers: [96, 24, 14]
Generated Node #2: [96, 24, 14] from Operation: 82-68=14
Current State: 10:[96, 24, 14], Operations: ['82-68=14']
Exploring Operation: 96/24=4, Resulting Numbers: [14, 4]
Generated Node #3: [14, 4] from Operation: 96/24=4
Current State: 10:[14, 4], Operations: ['82-68=14', '96/24=4']
Exploring Operation: 14-4=10, Resulting Numbers: [10]
10,10 equal: Goal Reached
| 4 |
[
37,
74,
52,
86
] | 51 | [
"37*74=2738",
"2738-86=2652",
"2652/52=51"
] | Current State: 51:[37, 74, 52, 86], Operations: []
Exploring Operation: 37*74=2738, Resulting Numbers: [52, 86, 2738]
Generated Node #2: [52, 86, 2738] from Operation: 37*74=2738
Current State: 51:[52, 86, 2738], Operations: ['37*74=2738']
Exploring Operation: 2738-86=2652, Resulting Numbers: [52, 2652]
Generated Node #3: [52, 2652] from Operation: 2738-86=2652
Current State: 51:[52, 2652], Operations: ['37*74=2738', '2738-86=2652']
Exploring Operation: 2652/52=51, Resulting Numbers: [51]
51,51 equal: Goal Reached
| 4 |
[
41,
90,
6,
3
] | 27 | [
"41*3=123",
"90+6=96",
"123-96=27"
] | Current State: 27:[41, 90, 6, 3], Operations: []
Exploring Operation: 41*3=123, Resulting Numbers: [90, 6, 123]
Generated Node #2: [90, 6, 123] from Operation: 41*3=123
Current State: 27:[90, 6, 123], Operations: ['41*3=123']
Exploring Operation: 90+6=96, Resulting Numbers: [123, 96]
Generated Node #3: [123, 96] from Operation: 90+6=96
Current State: 27:[123, 96], Operations: ['41*3=123', '90+6=96']
Exploring Operation: 123-96=27, Resulting Numbers: [27]
27,27 equal: Goal Reached
| 4 |
[
15,
12,
34,
30
] | 91 | [
"15+12=27",
"34+30=64",
"27+64=91"
] | Current State: 91:[15, 12, 34, 30], Operations: []
Exploring Operation: 15+12=27, Resulting Numbers: [34, 30, 27]
Generated Node #2: [34, 30, 27] from Operation: 15+12=27
Current State: 91:[34, 30, 27], Operations: ['15+12=27']
Exploring Operation: 34+30=64, Resulting Numbers: [27, 64]
Generated Node #3: [27, 64] from Operation: 34+30=64
Current State: 91:[27, 64], Operations: ['15+12=27', '34+30=64']
Exploring Operation: 27+64=91, Resulting Numbers: [91]
91,91 equal: Goal Reached
| 4 |
[
61,
98,
56,
56
] | 38 | [
"98-61=37",
"56/56=1",
"37+1=38"
] | Current State: 38:[61, 98, 56, 56], Operations: []
Exploring Operation: 98-61=37, Resulting Numbers: [56, 56, 37]
Generated Node #2: [56, 56, 37] from Operation: 98-61=37
Current State: 38:[56, 56, 37], Operations: ['98-61=37']
Exploring Operation: 56/56=1, Resulting Numbers: [37, 1]
Generated Node #3: [37, 1] from Operation: 56/56=1
Current State: 38:[37, 1], Operations: ['98-61=37', '56/56=1']
Exploring Operation: 37+1=38, Resulting Numbers: [38]
38,38 equal: Goal Reached
| 4 |
[
38,
55,
50,
41
] | 26 | [
"55-38=17",
"50-41=9",
"17+9=26"
] | Current State: 26:[38, 55, 50, 41], Operations: []
Exploring Operation: 55-38=17, Resulting Numbers: [50, 41, 17]
Generated Node #2: [50, 41, 17] from Operation: 55-38=17
Current State: 26:[50, 41, 17], Operations: ['55-38=17']
Exploring Operation: 50-41=9, Resulting Numbers: [17, 9]
Generated Node #3: [17, 9] from Operation: 50-41=9
Current State: 26:[17, 9], Operations: ['55-38=17', '50-41=9']
Exploring Operation: 17+9=26, Resulting Numbers: [26]
26,26 equal: Goal Reached
| 4 |
[
6,
5,
28,
37
] | 49 | [
"37-28=9",
"6*9=54",
"54-5=49"
] | Current State: 49:[6, 5, 28, 37], Operations: []
Exploring Operation: 37-28=9, Resulting Numbers: [6, 5, 9]
Generated Node #2: [6, 5, 9] from Operation: 37-28=9
Current State: 49:[6, 5, 9], Operations: ['37-28=9']
Exploring Operation: 6*9=54, Resulting Numbers: [5, 54]
Generated Node #3: [5, 54] from Operation: 6*9=54
Current State: 49:[5, 54], Operations: ['37-28=9', '6*9=54']
Exploring Operation: 54-5=49, Resulting Numbers: [49]
49,49 equal: Goal Reached
| 4 |
[
2,
77,
44,
62
] | 64 | [
"62/2=31",
"77-44=33",
"31+33=64"
] | Current State: 64:[2, 77, 44, 62], Operations: []
Exploring Operation: 62/2=31, Resulting Numbers: [77, 44, 31]
Generated Node #2: [77, 44, 31] from Operation: 62/2=31
Current State: 64:[77, 44, 31], Operations: ['62/2=31']
Exploring Operation: 77-44=33, Resulting Numbers: [31, 33]
Generated Node #3: [31, 33] from Operation: 77-44=33
Current State: 64:[31, 33], Operations: ['62/2=31', '77-44=33']
Exploring Operation: 31+33=64, Resulting Numbers: [64]
64,64 equal: Goal Reached
| 4 |
[
84,
77,
21,
95
] | 92 | [
"84-77=7",
"21/7=3",
"95-3=92"
] | Current State: 92:[84, 77, 21, 95], Operations: []
Exploring Operation: 84-77=7, Resulting Numbers: [21, 95, 7]
Generated Node #2: [21, 95, 7] from Operation: 84-77=7
Current State: 92:[21, 95, 7], Operations: ['84-77=7']
Exploring Operation: 21/7=3, Resulting Numbers: [95, 3]
Generated Node #3: [95, 3] from Operation: 21/7=3
Current State: 92:[95, 3], Operations: ['84-77=7', '21/7=3']
Exploring Operation: 95-3=92, Resulting Numbers: [92]
92,92 equal: Goal Reached
| 4 |
[
67,
71,
73,
56
] | 22 | [
"67-56=11",
"73-71=2",
"11*2=22"
] | Current State: 22:[67, 71, 73, 56], Operations: []
Exploring Operation: 67-56=11, Resulting Numbers: [71, 73, 11]
Generated Node #2: [71, 73, 11] from Operation: 67-56=11
Current State: 22:[71, 73, 11], Operations: ['67-56=11']
Exploring Operation: 73-71=2, Resulting Numbers: [11, 2]
Generated Node #3: [11, 2] from Operation: 73-71=2
Current State: 22:[11, 2], Operations: ['67-56=11', '73-71=2']
Exploring Operation: 11*2=22, Resulting Numbers: [22]
22,22 equal: Goal Reached
| 4 |
[
17,
53,
61,
68
] | 10 | [
"17+53=70",
"68-61=7",
"70/7=10"
] | Current State: 10:[17, 53, 61, 68], Operations: []
Exploring Operation: 17+53=70, Resulting Numbers: [61, 68, 70]
Generated Node #2: [61, 68, 70] from Operation: 17+53=70
Current State: 10:[61, 68, 70], Operations: ['17+53=70']
Exploring Operation: 68-61=7, Resulting Numbers: [70, 7]
Generated Node #3: [70, 7] from Operation: 68-61=7
Current State: 10:[70, 7], Operations: ['17+53=70', '68-61=7']
Exploring Operation: 70/7=10, Resulting Numbers: [10]
10,10 equal: Goal Reached
| 4 |
[
74,
25,
58,
6
] | 54 | [
"74-25=49",
"58-49=9",
"6*9=54"
] | Current State: 54:[74, 25, 58, 6], Operations: []
Exploring Operation: 74-25=49, Resulting Numbers: [58, 6, 49]
Generated Node #2: [58, 6, 49] from Operation: 74-25=49
Current State: 54:[58, 6, 49], Operations: ['74-25=49']
Exploring Operation: 58-49=9, Resulting Numbers: [6, 9]
Generated Node #3: [6, 9] from Operation: 58-49=9
Current State: 54:[6, 9], Operations: ['74-25=49', '58-49=9']
Exploring Operation: 6*9=54, Resulting Numbers: [54]
54,54 equal: Goal Reached
| 4 |
[
28,
7,
34,
20
] | 39 | [
"28/7=4",
"20/4=5",
"34+5=39"
] | Current State: 39:[28, 7, 34, 20], Operations: []
Exploring Operation: 28/7=4, Resulting Numbers: [34, 20, 4]
Generated Node #2: [34, 20, 4] from Operation: 28/7=4
Current State: 39:[34, 20, 4], Operations: ['28/7=4']
Exploring Operation: 20/4=5, Resulting Numbers: [34, 5]
Generated Node #3: [34, 5] from Operation: 20/4=5
Current State: 39:[34, 5], Operations: ['28/7=4', '20/4=5']
Exploring Operation: 34+5=39, Resulting Numbers: [39]
39,39 equal: Goal Reached
| 4 |
[
99,
11,
29,
18
] | 38 | [
"99/11=9",
"29+18=47",
"47-9=38"
] | Current State: 38:[99, 11, 29, 18], Operations: []
Exploring Operation: 99/11=9, Resulting Numbers: [29, 18, 9]
Generated Node #2: [29, 18, 9] from Operation: 99/11=9
Current State: 38:[29, 18, 9], Operations: ['99/11=9']
Exploring Operation: 29+18=47, Resulting Numbers: [9, 47]
Generated Node #3: [9, 47] from Operation: 29+18=47
Current State: 38:[9, 47], Operations: ['99/11=9', '29+18=47']
Exploring Operation: 47-9=38, Resulting Numbers: [38]
38,38 equal: Goal Reached
| 4 |
[
77,
15,
14,
47
] | 49 | [
"14*47=658",
"77+658=735",
"735/15=49"
] | Current State: 49:[77, 15, 14, 47], Operations: []
Exploring Operation: 14*47=658, Resulting Numbers: [77, 15, 658]
Generated Node #2: [77, 15, 658] from Operation: 14*47=658
Current State: 49:[77, 15, 658], Operations: ['14*47=658']
Exploring Operation: 77+658=735, Resulting Numbers: [15, 735]
Generated Node #3: [15, 735] from Operation: 77+658=735
Current State: 49:[15, 735], Operations: ['14*47=658', '77+658=735']
Exploring Operation: 735/15=49, Resulting Numbers: [49]
49,49 equal: Goal Reached
| 4 |
[
83,
30,
77,
49
] | 81 | [
"83-30=53",
"77-49=28",
"53+28=81"
] | Current State: 81:[83, 30, 77, 49], Operations: []
Exploring Operation: 83-30=53, Resulting Numbers: [77, 49, 53]
Generated Node #2: [77, 49, 53] from Operation: 83-30=53
Current State: 81:[77, 49, 53], Operations: ['83-30=53']
Exploring Operation: 77-49=28, Resulting Numbers: [53, 28]
Generated Node #3: [53, 28] from Operation: 77-49=28
Current State: 81:[53, 28], Operations: ['83-30=53', '77-49=28']
Exploring Operation: 53+28=81, Resulting Numbers: [81]
81,81 equal: Goal Reached
| 4 |
[
72,
69,
48,
34
] | 80 | [
"69*48=3312",
"3312/72=46",
"34+46=80"
] | Current State: 80:[72, 69, 48, 34], Operations: []
Exploring Operation: 69*48=3312, Resulting Numbers: [72, 34, 3312]
Generated Node #2: [72, 34, 3312] from Operation: 69*48=3312
Current State: 80:[72, 34, 3312], Operations: ['69*48=3312']
Exploring Operation: 3312/72=46, Resulting Numbers: [34, 46]
Generated Node #3: [34, 46] from Operation: 3312/72=46
Current State: 80:[34, 46], Operations: ['69*48=3312', '3312/72=46']
Exploring Operation: 34+46=80, Resulting Numbers: [80]
80,80 equal: Goal Reached
| 4 |
[
33,
60,
22,
35
] | 36 | [
"33+60=93",
"22+35=57",
"93-57=36"
] | Current State: 36:[33, 60, 22, 35], Operations: []
Exploring Operation: 33+60=93, Resulting Numbers: [22, 35, 93]
Generated Node #2: [22, 35, 93] from Operation: 33+60=93
Current State: 36:[22, 35, 93], Operations: ['33+60=93']
Exploring Operation: 22+35=57, Resulting Numbers: [93, 57]
Generated Node #3: [93, 57] from Operation: 22+35=57
Current State: 36:[93, 57], Operations: ['33+60=93', '22+35=57']
Exploring Operation: 93-57=36, Resulting Numbers: [36]
36,36 equal: Goal Reached
| 4 |
[
61,
82,
12,
2
] | 96 | [
"82-12=70",
"70/2=35",
"61+35=96"
] | Current State: 96:[61, 82, 12, 2], Operations: []
Exploring Operation: 82-12=70, Resulting Numbers: [61, 2, 70]
Generated Node #2: [61, 2, 70] from Operation: 82-12=70
Current State: 96:[61, 2, 70], Operations: ['82-12=70']
Exploring Operation: 70/2=35, Resulting Numbers: [61, 35]
Generated Node #3: [61, 35] from Operation: 70/2=35
Current State: 96:[61, 35], Operations: ['82-12=70', '70/2=35']
Exploring Operation: 61+35=96, Resulting Numbers: [96]
96,96 equal: Goal Reached
| 4 |
[
4,
3,
4,
87
] | 85 | [
"4/4=1",
"87-3=84",
"1+84=85"
] | Current State: 85:[4, 3, 4, 87], Operations: []
Exploring Operation: 4/4=1, Resulting Numbers: [3, 87, 1]
Generated Node #2: [3, 87, 1] from Operation: 4/4=1
Current State: 85:[3, 87, 1], Operations: ['4/4=1']
Exploring Operation: 87-3=84, Resulting Numbers: [1, 84]
Generated Node #3: [1, 84] from Operation: 87-3=84
Current State: 85:[1, 84], Operations: ['4/4=1', '87-3=84']
Exploring Operation: 1+84=85, Resulting Numbers: [85]
85,85 equal: Goal Reached
| 4 |
[
9,
3,
51,
27
] | 84 | [
"9-3=6",
"51+27=78",
"6+78=84"
] | Current State: 84:[9, 3, 51, 27], Operations: []
Exploring Operation: 9-3=6, Resulting Numbers: [51, 27, 6]
Generated Node #2: [51, 27, 6] from Operation: 9-3=6
Current State: 84:[51, 27, 6], Operations: ['9-3=6']
Exploring Operation: 51+27=78, Resulting Numbers: [6, 78]
Generated Node #3: [6, 78] from Operation: 51+27=78
Current State: 84:[6, 78], Operations: ['9-3=6', '51+27=78']
Exploring Operation: 6+78=84, Resulting Numbers: [84]
84,84 equal: Goal Reached
| 4 |
[
58,
23,
44,
45
] | 81 | [
"58+23=81",
"45-44=1",
"81*1=81"
] | Current State: 81:[58, 23, 44, 45], Operations: []
Exploring Operation: 58+23=81, Resulting Numbers: [44, 45, 81]
Generated Node #2: [44, 45, 81] from Operation: 58+23=81
Current State: 81:[44, 45, 81], Operations: ['58+23=81']
Exploring Operation: 45-44=1, Resulting Numbers: [81, 1]
Generated Node #3: [81, 1] from Operation: 45-44=1
Current State: 81:[81, 1], Operations: ['58+23=81', '45-44=1']
Exploring Operation: 81*1=81, Resulting Numbers: [81]
81,81 equal: Goal Reached
| 4 |
[
97,
7,
47,
7
] | 49 | [
"97-47=50",
"7/7=1",
"50-1=49"
] | Current State: 49:[97, 7, 47, 7], Operations: []
Exploring Operation: 97-47=50, Resulting Numbers: [7, 7, 50]
Generated Node #2: [7, 7, 50] from Operation: 97-47=50
Current State: 49:[7, 7, 50], Operations: ['97-47=50']
Exploring Operation: 7/7=1, Resulting Numbers: [50, 1]
Generated Node #3: [50, 1] from Operation: 7/7=1
Current State: 49:[50, 1], Operations: ['97-47=50', '7/7=1']
Exploring Operation: 50-1=49, Resulting Numbers: [49]
49,49 equal: Goal Reached
| 4 |
[
50,
57,
31,
96
] | 93 | [
"50-31=19",
"57/19=3",
"96-3=93"
] | Current State: 93:[50, 57, 31, 96], Operations: []
Exploring Operation: 50-31=19, Resulting Numbers: [57, 96, 19]
Generated Node #2: [57, 96, 19] from Operation: 50-31=19
Current State: 93:[57, 96, 19], Operations: ['50-31=19']
Exploring Operation: 57/19=3, Resulting Numbers: [96, 3]
Generated Node #3: [96, 3] from Operation: 57/19=3
Current State: 93:[96, 3], Operations: ['50-31=19', '57/19=3']
Exploring Operation: 96-3=93, Resulting Numbers: [93]
93,93 equal: Goal Reached
| 4 |
[
25,
91,
84,
67
] | 83 | [
"91-25=66",
"84-67=17",
"66+17=83"
] | Current State: 83:[25, 91, 84, 67], Operations: []
Exploring Operation: 91-25=66, Resulting Numbers: [84, 67, 66]
Generated Node #2: [84, 67, 66] from Operation: 91-25=66
Current State: 83:[84, 67, 66], Operations: ['91-25=66']
Exploring Operation: 84-67=17, Resulting Numbers: [66, 17]
Generated Node #3: [66, 17] from Operation: 84-67=17
Current State: 83:[66, 17], Operations: ['91-25=66', '84-67=17']
Exploring Operation: 66+17=83, Resulting Numbers: [83]
83,83 equal: Goal Reached
| 4 |
[
96,
22,
61,
93
] | 66 | [
"96*22=2112",
"93-61=32",
"2112/32=66"
] | Current State: 66:[96, 22, 61, 93], Operations: []
Exploring Operation: 96*22=2112, Resulting Numbers: [61, 93, 2112]
Generated Node #2: [61, 93, 2112] from Operation: 96*22=2112
Current State: 66:[61, 93, 2112], Operations: ['96*22=2112']
Exploring Operation: 93-61=32, Resulting Numbers: [2112, 32]
Generated Node #3: [2112, 32] from Operation: 93-61=32
Current State: 66:[2112, 32], Operations: ['96*22=2112', '93-61=32']
Exploring Operation: 2112/32=66, Resulting Numbers: [66]
66,66 equal: Goal Reached
| 4 |
[
43,
15,
86,
60
] | 45 | [
"86/43=2",
"60/2=30",
"15+30=45"
] | Current State: 45:[43, 15, 86, 60], Operations: []
Exploring Operation: 86/43=2, Resulting Numbers: [15, 60, 2]
Generated Node #2: [15, 60, 2] from Operation: 86/43=2
Current State: 45:[15, 60, 2], Operations: ['86/43=2']
Exploring Operation: 60/2=30, Resulting Numbers: [15, 30]
Generated Node #3: [15, 30] from Operation: 60/2=30
Current State: 45:[15, 30], Operations: ['86/43=2', '60/2=30']
Exploring Operation: 15+30=45, Resulting Numbers: [45]
45,45 equal: Goal Reached
| 4 |
[
63,
23,
5,
30
] | 61 | [
"63+23=86",
"30-5=25",
"86-25=61"
] | Current State: 61:[63, 23, 5, 30], Operations: []
Exploring Operation: 63+23=86, Resulting Numbers: [5, 30, 86]
Generated Node #2: [5, 30, 86] from Operation: 63+23=86
Current State: 61:[5, 30, 86], Operations: ['63+23=86']
Exploring Operation: 30-5=25, Resulting Numbers: [86, 25]
Generated Node #3: [86, 25] from Operation: 30-5=25
Current State: 61:[86, 25], Operations: ['63+23=86', '30-5=25']
Exploring Operation: 86-25=61, Resulting Numbers: [61]
61,61 equal: Goal Reached
| 4 |
[
3,
40,
59,
67
] | 82 | [
"59+67=126",
"126/3=42",
"40+42=82"
] | Current State: 82:[3, 40, 59, 67], Operations: []
Exploring Operation: 59+67=126, Resulting Numbers: [3, 40, 126]
Generated Node #2: [3, 40, 126] from Operation: 59+67=126
Current State: 82:[3, 40, 126], Operations: ['59+67=126']
Exploring Operation: 126/3=42, Resulting Numbers: [40, 42]
Generated Node #3: [40, 42] from Operation: 126/3=42
Current State: 82:[40, 42], Operations: ['59+67=126', '126/3=42']
Exploring Operation: 40+42=82, Resulting Numbers: [82]
82,82 equal: Goal Reached
| 4 |
[
10,
58,
9,
73
] | 15 | [
"10-9=1",
"73-58=15",
"1*15=15"
] | Current State: 15:[10, 58, 9, 73], Operations: []
Exploring Operation: 10-9=1, Resulting Numbers: [58, 73, 1]
Generated Node #2: [58, 73, 1] from Operation: 10-9=1
Current State: 15:[58, 73, 1], Operations: ['10-9=1']
Exploring Operation: 73-58=15, Resulting Numbers: [1, 15]
Generated Node #3: [1, 15] from Operation: 73-58=15
Current State: 15:[1, 15], Operations: ['10-9=1', '73-58=15']
Exploring Operation: 1*15=15, Resulting Numbers: [15]
15,15 equal: Goal Reached
| 4 |
[
50,
73,
90,
23
] | 10 | [
"50+73=123",
"90+23=113",
"123-113=10"
] | Current State: 10:[50, 73, 90, 23], Operations: []
Exploring Operation: 50+73=123, Resulting Numbers: [90, 23, 123]
Generated Node #2: [90, 23, 123] from Operation: 50+73=123
Current State: 10:[90, 23, 123], Operations: ['50+73=123']
Exploring Operation: 90+23=113, Resulting Numbers: [123, 113]
Generated Node #3: [123, 113] from Operation: 90+23=113
Current State: 10:[123, 113], Operations: ['50+73=123', '90+23=113']
Exploring Operation: 123-113=10, Resulting Numbers: [10]
10,10 equal: Goal Reached
| 4 |
[
45,
72,
88,
94
] | 41 | [
"94-72=22",
"88/22=4",
"45-4=41"
] | Current State: 41:[45, 72, 88, 94], Operations: []
Exploring Operation: 94-72=22, Resulting Numbers: [45, 88, 22]
Generated Node #2: [45, 88, 22] from Operation: 94-72=22
Current State: 41:[45, 88, 22], Operations: ['94-72=22']
Exploring Operation: 88/22=4, Resulting Numbers: [45, 4]
Generated Node #3: [45, 4] from Operation: 88/22=4
Current State: 41:[45, 4], Operations: ['94-72=22', '88/22=4']
Exploring Operation: 45-4=41, Resulting Numbers: [41]
41,41 equal: Goal Reached
| 4 |
[
53,
17,
85,
65
] | 56 | [
"53-17=36",
"85-65=20",
"36+20=56"
] | Current State: 56:[53, 17, 85, 65], Operations: []
Exploring Operation: 53-17=36, Resulting Numbers: [85, 65, 36]
Generated Node #2: [85, 65, 36] from Operation: 53-17=36
Current State: 56:[85, 65, 36], Operations: ['53-17=36']
Exploring Operation: 85-65=20, Resulting Numbers: [36, 20]
Generated Node #3: [36, 20] from Operation: 85-65=20
Current State: 56:[36, 20], Operations: ['53-17=36', '85-65=20']
Exploring Operation: 36+20=56, Resulting Numbers: [56]
56,56 equal: Goal Reached
| 4 |
[
47,
30,
58,
2
] | 92 | [
"47-30=17",
"2*17=34",
"58+34=92"
] | Current State: 92:[47, 30, 58, 2], Operations: []
Exploring Operation: 47-30=17, Resulting Numbers: [58, 2, 17]
Generated Node #2: [58, 2, 17] from Operation: 47-30=17
Current State: 92:[58, 2, 17], Operations: ['47-30=17']
Exploring Operation: 2*17=34, Resulting Numbers: [58, 34]
Generated Node #3: [58, 34] from Operation: 2*17=34
Current State: 92:[58, 34], Operations: ['47-30=17', '2*17=34']
Exploring Operation: 58+34=92, Resulting Numbers: [92]
92,92 equal: Goal Reached
| 4 |
[
78,
49,
64,
73
] | 10 | [
"78+49=127",
"64+73=137",
"137-127=10"
] | Current State: 10:[78, 49, 64, 73], Operations: []
Exploring Operation: 78+49=127, Resulting Numbers: [64, 73, 127]
Generated Node #2: [64, 73, 127] from Operation: 78+49=127
Current State: 10:[64, 73, 127], Operations: ['78+49=127']
Exploring Operation: 64+73=137, Resulting Numbers: [127, 137]
Generated Node #3: [127, 137] from Operation: 64+73=137
Current State: 10:[127, 137], Operations: ['78+49=127', '64+73=137']
Exploring Operation: 137-127=10, Resulting Numbers: [10]
10,10 equal: Goal Reached
| 4 |
[
56,
2,
16,
80
] | 20 | [
"56-16=40",
"80-40=40",
"40/2=20"
] | Current State: 20:[56, 2, 16, 80], Operations: []
Exploring Operation: 56-16=40, Resulting Numbers: [2, 80, 40]
Generated Node #2: [2, 80, 40] from Operation: 56-16=40
Current State: 20:[2, 80, 40], Operations: ['56-16=40']
Exploring Operation: 80-40=40, Resulting Numbers: [2, 40]
Generated Node #3: [2, 40] from Operation: 80-40=40
Current State: 20:[2, 40], Operations: ['56-16=40', '80-40=40']
Exploring Operation: 40/2=20, Resulting Numbers: [20]
20,20 equal: Goal Reached
| 4 |
[
2,
6,
78,
26
] | 38 | [
"26-6=20",
"2*20=40",
"78-40=38"
] | Current State: 38:[2, 6, 78, 26], Operations: []
Exploring Operation: 26-6=20, Resulting Numbers: [2, 78, 20]
Generated Node #2: [2, 78, 20] from Operation: 26-6=20
Current State: 38:[2, 78, 20], Operations: ['26-6=20']
Exploring Operation: 2*20=40, Resulting Numbers: [78, 40]
Generated Node #3: [78, 40] from Operation: 2*20=40
Current State: 38:[78, 40], Operations: ['26-6=20', '2*20=40']
Exploring Operation: 78-40=38, Resulting Numbers: [38]
38,38 equal: Goal Reached
| 4 |
[
14,
92,
86,
48
] | 40 | [
"92-14=78",
"86-48=38",
"78-38=40"
] | Current State: 40:[14, 92, 86, 48], Operations: []
Exploring Operation: 92-14=78, Resulting Numbers: [86, 48, 78]
Generated Node #2: [86, 48, 78] from Operation: 92-14=78
Current State: 40:[86, 48, 78], Operations: ['92-14=78']
Exploring Operation: 86-48=38, Resulting Numbers: [78, 38]
Generated Node #3: [78, 38] from Operation: 86-48=38
Current State: 40:[78, 38], Operations: ['92-14=78', '86-48=38']
Exploring Operation: 78-38=40, Resulting Numbers: [40]
40,40 equal: Goal Reached
| 4 |
[
50,
7,
96,
50
] | 28 | [
"50+96=146",
"50+146=196",
"196/7=28"
] | Current State: 28:[50, 7, 96, 50], Operations: []
Exploring Operation: 50+96=146, Resulting Numbers: [7, 146]
Generated Node #2: [7, 146] from Operation: 50+96=146
Current State: 28:[7, 146], Operations: ['50+96=146']
Exploring Operation: 50+146=196, Resulting Numbers: [7, 196]
Generated Node #3: [7, 196] from Operation: 50+146=196
Current State: 28:[7, 196], Operations: ['50+96=146', '50+146=196']
Exploring Operation: 196/7=28, Resulting Numbers: [28]
28,28 equal: Goal Reached
| 4 |
[
68,
97,
99,
43
] | 85 | [
"97-68=29",
"99-43=56",
"29+56=85"
] | Current State: 85:[68, 97, 99, 43], Operations: []
Exploring Operation: 97-68=29, Resulting Numbers: [99, 43, 29]
Generated Node #2: [99, 43, 29] from Operation: 97-68=29
Current State: 85:[99, 43, 29], Operations: ['97-68=29']
Exploring Operation: 99-43=56, Resulting Numbers: [29, 56]
Generated Node #3: [29, 56] from Operation: 99-43=56
Current State: 85:[29, 56], Operations: ['97-68=29', '99-43=56']
Exploring Operation: 29+56=85, Resulting Numbers: [85]
85,85 equal: Goal Reached
| 4 |
[
36,
16,
10,
60
] | 64 | [
"36+60=96",
"16*10=160",
"160-96=64"
] | Current State: 64:[36, 16, 10, 60], Operations: []
Exploring Operation: 36+60=96, Resulting Numbers: [16, 10, 96]
Generated Node #2: [16, 10, 96] from Operation: 36+60=96
Current State: 64:[16, 10, 96], Operations: ['36+60=96']
Exploring Operation: 16*10=160, Resulting Numbers: [96, 160]
Generated Node #3: [96, 160] from Operation: 16*10=160
Current State: 64:[96, 160], Operations: ['36+60=96', '16*10=160']
Exploring Operation: 160-96=64, Resulting Numbers: [64]
64,64 equal: Goal Reached
| 4 |
[
14,
62,
56,
9
] | 68 | [
"62-56=6",
"9*6=54",
"14+54=68"
] | Current State: 68:[14, 62, 56, 9], Operations: []
Exploring Operation: 62-56=6, Resulting Numbers: [14, 9, 6]
Generated Node #2: [14, 9, 6] from Operation: 62-56=6
Current State: 68:[14, 9, 6], Operations: ['62-56=6']
Exploring Operation: 9*6=54, Resulting Numbers: [14, 54]
Generated Node #3: [14, 54] from Operation: 9*6=54
Current State: 68:[14, 54], Operations: ['62-56=6', '9*6=54']
Exploring Operation: 14+54=68, Resulting Numbers: [68]
68,68 equal: Goal Reached
| 4 |
[
14,
69,
4,
43
] | 44 | [
"14+69=83",
"43-4=39",
"83-39=44"
] | Current State: 44:[14, 69, 4, 43], Operations: []
Exploring Operation: 14+69=83, Resulting Numbers: [4, 43, 83]
Generated Node #2: [4, 43, 83] from Operation: 14+69=83
Current State: 44:[4, 43, 83], Operations: ['14+69=83']
Exploring Operation: 43-4=39, Resulting Numbers: [83, 39]
Generated Node #3: [83, 39] from Operation: 43-4=39
Current State: 44:[83, 39], Operations: ['14+69=83', '43-4=39']
Exploring Operation: 83-39=44, Resulting Numbers: [44]
44,44 equal: Goal Reached
| 4 |
[
65,
23,
34,
79
] | 68 | [
"23+79=102",
"102/34=3",
"65+3=68"
] | Current State: 68:[65, 23, 34, 79], Operations: []
Exploring Operation: 23+79=102, Resulting Numbers: [65, 34, 102]
Generated Node #2: [65, 34, 102] from Operation: 23+79=102
Current State: 68:[65, 34, 102], Operations: ['23+79=102']
Exploring Operation: 102/34=3, Resulting Numbers: [65, 3]
Generated Node #3: [65, 3] from Operation: 102/34=3
Current State: 68:[65, 3], Operations: ['23+79=102', '102/34=3']
Exploring Operation: 65+3=68, Resulting Numbers: [68]
68,68 equal: Goal Reached
| 4 |
[
43,
75,
92,
38
] | 85 | [
"43-38=5",
"92-75=17",
"5*17=85"
] | Current State: 85:[43, 75, 92, 38], Operations: []
Exploring Operation: 43-38=5, Resulting Numbers: [75, 92, 5]
Generated Node #2: [75, 92, 5] from Operation: 43-38=5
Current State: 85:[75, 92, 5], Operations: ['43-38=5']
Exploring Operation: 92-75=17, Resulting Numbers: [5, 17]
Generated Node #3: [5, 17] from Operation: 92-75=17
Current State: 85:[5, 17], Operations: ['43-38=5', '92-75=17']
Exploring Operation: 5*17=85, Resulting Numbers: [85]
85,85 equal: Goal Reached
| 4 |
[
28,
43,
12,
60
] | 97 | [
"28*60=1680",
"1680/12=140",
"140-43=97"
] | Current State: 97:[28, 43, 12, 60], Operations: []
Exploring Operation: 28*60=1680, Resulting Numbers: [43, 12, 1680]
Generated Node #2: [43, 12, 1680] from Operation: 28*60=1680
Current State: 97:[43, 12, 1680], Operations: ['28*60=1680']
Exploring Operation: 1680/12=140, Resulting Numbers: [43, 140]
Generated Node #3: [43, 140] from Operation: 1680/12=140
Current State: 97:[43, 140], Operations: ['28*60=1680', '1680/12=140']
Exploring Operation: 140-43=97, Resulting Numbers: [97]
97,97 equal: Goal Reached
| 4 |
[
94,
3,
12,
99
] | 27 | [
"99-94=5",
"3*5=15",
"12+15=27"
] | Current State: 27:[94, 3, 12, 99], Operations: []
Exploring Operation: 99-94=5, Resulting Numbers: [3, 12, 5]
Generated Node #2: [3, 12, 5] from Operation: 99-94=5
Current State: 27:[3, 12, 5], Operations: ['99-94=5']
Exploring Operation: 3*5=15, Resulting Numbers: [12, 15]
Generated Node #3: [12, 15] from Operation: 3*5=15
Current State: 27:[12, 15], Operations: ['99-94=5', '3*5=15']
Exploring Operation: 12+15=27, Resulting Numbers: [27]
27,27 equal: Goal Reached
| 4 |
[
25,
46,
50,
22
] | 66 | [
"50/25=2",
"46+22=68",
"68-2=66"
] | Current State: 66:[25, 46, 50, 22], Operations: []
Exploring Operation: 50/25=2, Resulting Numbers: [46, 22, 2]
Generated Node #2: [46, 22, 2] from Operation: 50/25=2
Current State: 66:[46, 22, 2], Operations: ['50/25=2']
Exploring Operation: 46+22=68, Resulting Numbers: [2, 68]
Generated Node #3: [2, 68] from Operation: 46+22=68
Current State: 66:[2, 68], Operations: ['50/25=2', '46+22=68']
Exploring Operation: 68-2=66, Resulting Numbers: [66]
66,66 equal: Goal Reached
| 4 |
[
22,
44,
71,
63
] | 30 | [
"44-22=22",
"71-63=8",
"22+8=30"
] | Current State: 30:[22, 44, 71, 63], Operations: []
Exploring Operation: 44-22=22, Resulting Numbers: [71, 63, 22]
Generated Node #2: [71, 63, 22] from Operation: 44-22=22
Current State: 30:[71, 63, 22], Operations: ['44-22=22']
Exploring Operation: 71-63=8, Resulting Numbers: [22, 8]
Generated Node #3: [22, 8] from Operation: 71-63=8
Current State: 30:[22, 8], Operations: ['44-22=22', '71-63=8']
Exploring Operation: 22+8=30, Resulting Numbers: [30]
30,30 equal: Goal Reached
| 4 |
[
2,
9,
4,
93
] | 75 | [
"4-2=2",
"9*2=18",
"93-18=75"
] | Current State: 75:[2, 9, 4, 93], Operations: []
Exploring Operation: 4-2=2, Resulting Numbers: [9, 93, 2]
Generated Node #2: [9, 93, 2] from Operation: 4-2=2
Current State: 75:[9, 93, 2], Operations: ['4-2=2']
Exploring Operation: 9*2=18, Resulting Numbers: [93, 18]
Generated Node #3: [93, 18] from Operation: 9*2=18
Current State: 75:[93, 18], Operations: ['4-2=2', '9*2=18']
Exploring Operation: 93-18=75, Resulting Numbers: [75]
75,75 equal: Goal Reached
| 4 |
[
35,
74,
4,
5
] | 11 | [
"74-35=39",
"5+39=44",
"44/4=11"
] | Current State: 11:[35, 74, 4, 5], Operations: []
Exploring Operation: 74-35=39, Resulting Numbers: [4, 5, 39]
Generated Node #2: [4, 5, 39] from Operation: 74-35=39
Current State: 11:[4, 5, 39], Operations: ['74-35=39']
Exploring Operation: 5+39=44, Resulting Numbers: [4, 44]
Generated Node #3: [4, 44] from Operation: 5+39=44
Current State: 11:[4, 44], Operations: ['74-35=39', '5+39=44']
Exploring Operation: 44/4=11, Resulting Numbers: [11]
11,11 equal: Goal Reached
| 4 |
[
64,
96,
11,
71
] | 24 | [
"64+11=75",
"75-71=4",
"96/4=24"
] | Current State: 24:[64, 96, 11, 71], Operations: []
Exploring Operation: 64+11=75, Resulting Numbers: [96, 71, 75]
Generated Node #2: [96, 71, 75] from Operation: 64+11=75
Current State: 24:[96, 71, 75], Operations: ['64+11=75']
Exploring Operation: 75-71=4, Resulting Numbers: [96, 4]
Generated Node #3: [96, 4] from Operation: 75-71=4
Current State: 24:[96, 4], Operations: ['64+11=75', '75-71=4']
Exploring Operation: 96/4=24, Resulting Numbers: [24]
24,24 equal: Goal Reached
| 4 |
[
27,
88,
42,
66
] | 37 | [
"88-27=61",
"66-42=24",
"61-24=37"
] | Current State: 37:[27, 88, 42, 66], Operations: []
Exploring Operation: 88-27=61, Resulting Numbers: [42, 66, 61]
Generated Node #2: [42, 66, 61] from Operation: 88-27=61
Current State: 37:[42, 66, 61], Operations: ['88-27=61']
Exploring Operation: 66-42=24, Resulting Numbers: [61, 24]
Generated Node #3: [61, 24] from Operation: 66-42=24
Current State: 37:[61, 24], Operations: ['88-27=61', '66-42=24']
Exploring Operation: 61-24=37, Resulting Numbers: [37]
37,37 equal: Goal Reached
| 4 |
[
28,
27,
9,
66
] | 97 | [
"28+66=94",
"27/9=3",
"94+3=97"
] | Current State: 97:[28, 27, 9, 66], Operations: []
Exploring Operation: 28+66=94, Resulting Numbers: [27, 9, 94]
Generated Node #2: [27, 9, 94] from Operation: 28+66=94
Current State: 97:[27, 9, 94], Operations: ['28+66=94']
Exploring Operation: 27/9=3, Resulting Numbers: [94, 3]
Generated Node #3: [94, 3] from Operation: 27/9=3
Current State: 97:[94, 3], Operations: ['28+66=94', '27/9=3']
Exploring Operation: 94+3=97, Resulting Numbers: [97]
97,97 equal: Goal Reached
| 4 |
[
74,
75,
30,
81
] | 38 | [
"74+75=149",
"30+81=111",
"149-111=38"
] | Current State: 38:[74, 75, 30, 81], Operations: []
Exploring Operation: 74+75=149, Resulting Numbers: [30, 81, 149]
Generated Node #2: [30, 81, 149] from Operation: 74+75=149
Current State: 38:[30, 81, 149], Operations: ['74+75=149']
Exploring Operation: 30+81=111, Resulting Numbers: [149, 111]
Generated Node #3: [149, 111] from Operation: 30+81=111
Current State: 38:[149, 111], Operations: ['74+75=149', '30+81=111']
Exploring Operation: 149-111=38, Resulting Numbers: [38]
38,38 equal: Goal Reached
| 4 |
[
87,
89,
87,
59
] | 73 | [
"89-87=2",
"87+59=146",
"146/2=73"
] | Current State: 73:[87, 89, 87, 59], Operations: []
Exploring Operation: 89-87=2, Resulting Numbers: [59, 2]
Generated Node #2: [59, 2] from Operation: 89-87=2
Current State: 73:[59, 2], Operations: ['89-87=2']
Exploring Operation: 87+59=146, Resulting Numbers: [2, 146]
Generated Node #3: [2, 146] from Operation: 87+59=146
Current State: 73:[2, 146], Operations: ['89-87=2', '87+59=146']
Exploring Operation: 146/2=73, Resulting Numbers: [73]
73,73 equal: Goal Reached
| 4 |
[
54,
59,
13,
63
] | 63 | [
"54+59=113",
"63-13=50",
"113-50=63"
] | Current State: 63:[54, 59, 13, 63], Operations: []
Exploring Operation: 54+59=113, Resulting Numbers: [13, 63, 113]
Generated Node #2: [13, 63, 113] from Operation: 54+59=113
Current State: 63:[13, 63, 113], Operations: ['54+59=113']
Exploring Operation: 63-13=50, Resulting Numbers: [113, 50]
Generated Node #3: [113, 50] from Operation: 63-13=50
Current State: 63:[113, 50], Operations: ['54+59=113', '63-13=50']
Exploring Operation: 113-50=63, Resulting Numbers: [63]
63,63 equal: Goal Reached
| 4 |
[
42,
72,
57,
65
] | 33 | [
"65-57=8",
"72/8=9",
"42-9=33"
] | Current State: 33:[42, 72, 57, 65], Operations: []
Exploring Operation: 65-57=8, Resulting Numbers: [42, 72, 8]
Generated Node #2: [42, 72, 8] from Operation: 65-57=8
Current State: 33:[42, 72, 8], Operations: ['65-57=8']
Exploring Operation: 72/8=9, Resulting Numbers: [42, 9]
Generated Node #3: [42, 9] from Operation: 72/8=9
Current State: 33:[42, 9], Operations: ['65-57=8', '72/8=9']
Exploring Operation: 42-9=33, Resulting Numbers: [33]
33,33 equal: Goal Reached
| 4 |
[
5,
9,
85,
74
] | 34 | [
"5*9=45",
"85-74=11",
"45-11=34"
] | Current State: 34:[5, 9, 85, 74], Operations: []
Exploring Operation: 5*9=45, Resulting Numbers: [85, 74, 45]
Generated Node #2: [85, 74, 45] from Operation: 5*9=45
Current State: 34:[85, 74, 45], Operations: ['5*9=45']
Exploring Operation: 85-74=11, Resulting Numbers: [45, 11]
Generated Node #3: [45, 11] from Operation: 85-74=11
Current State: 34:[45, 11], Operations: ['5*9=45', '85-74=11']
Exploring Operation: 45-11=34, Resulting Numbers: [34]
34,34 equal: Goal Reached
| 4 |
[
1,
78,
21,
85
] | 82 | [
"85-1=84",
"84/21=4",
"78+4=82"
] | Current State: 82:[1, 78, 21, 85], Operations: []
Exploring Operation: 85-1=84, Resulting Numbers: [78, 21, 84]
Generated Node #2: [78, 21, 84] from Operation: 85-1=84
Current State: 82:[78, 21, 84], Operations: ['85-1=84']
Exploring Operation: 84/21=4, Resulting Numbers: [78, 4]
Generated Node #3: [78, 4] from Operation: 84/21=4
Current State: 82:[78, 4], Operations: ['85-1=84', '84/21=4']
Exploring Operation: 78+4=82, Resulting Numbers: [82]
82,82 equal: Goal Reached
| 4 |
[
30,
44,
21,
57
] | 50 | [
"44-30=14",
"57-21=36",
"14+36=50"
] | Current State: 50:[30, 44, 21, 57], Operations: []
Exploring Operation: 44-30=14, Resulting Numbers: [21, 57, 14]
Generated Node #2: [21, 57, 14] from Operation: 44-30=14
Current State: 50:[21, 57, 14], Operations: ['44-30=14']
Exploring Operation: 57-21=36, Resulting Numbers: [14, 36]
Generated Node #3: [14, 36] from Operation: 57-21=36
Current State: 50:[14, 36], Operations: ['44-30=14', '57-21=36']
Exploring Operation: 14+36=50, Resulting Numbers: [50]
50,50 equal: Goal Reached
| 4 |
[
17,
5,
98,
83
] | 49 | [
"17*5=85",
"85-83=2",
"98/2=49"
] | Current State: 49:[17, 5, 98, 83], Operations: []
Exploring Operation: 17*5=85, Resulting Numbers: [98, 83, 85]
Generated Node #2: [98, 83, 85] from Operation: 17*5=85
Current State: 49:[98, 83, 85], Operations: ['17*5=85']
Exploring Operation: 85-83=2, Resulting Numbers: [98, 2]
Generated Node #3: [98, 2] from Operation: 85-83=2
Current State: 49:[98, 2], Operations: ['17*5=85', '85-83=2']
Exploring Operation: 98/2=49, Resulting Numbers: [49]
49,49 equal: Goal Reached
| 4 |
[
4,
83,
80,
96
] | 33 | [
"80/4=20",
"96-83=13",
"20+13=33"
] | Current State: 33:[4, 83, 80, 96], Operations: []
Exploring Operation: 80/4=20, Resulting Numbers: [83, 96, 20]
Generated Node #2: [83, 96, 20] from Operation: 80/4=20
Current State: 33:[83, 96, 20], Operations: ['80/4=20']
Exploring Operation: 96-83=13, Resulting Numbers: [20, 13]
Generated Node #3: [20, 13] from Operation: 96-83=13
Current State: 33:[20, 13], Operations: ['80/4=20', '96-83=13']
Exploring Operation: 20+13=33, Resulting Numbers: [33]
33,33 equal: Goal Reached
| 4 |
[
69,
41,
2,
56
] | 52 | [
"69+41=110",
"2+56=58",
"110-58=52"
] | Current State: 52:[69, 41, 2, 56], Operations: []
Exploring Operation: 69+41=110, Resulting Numbers: [2, 56, 110]
Generated Node #2: [2, 56, 110] from Operation: 69+41=110
Current State: 52:[2, 56, 110], Operations: ['69+41=110']
Exploring Operation: 2+56=58, Resulting Numbers: [110, 58]
Generated Node #3: [110, 58] from Operation: 2+56=58
Current State: 52:[110, 58], Operations: ['69+41=110', '2+56=58']
Exploring Operation: 110-58=52, Resulting Numbers: [52]
52,52 equal: Goal Reached
| 4 |
[
93,
16,
36,
80
] | 62 | [
"93-36=57",
"80/16=5",
"57+5=62"
] | Current State: 62:[93, 16, 36, 80], Operations: []
Exploring Operation: 93-36=57, Resulting Numbers: [16, 80, 57]
Generated Node #2: [16, 80, 57] from Operation: 93-36=57
Current State: 62:[16, 80, 57], Operations: ['93-36=57']
Exploring Operation: 80/16=5, Resulting Numbers: [57, 5]
Generated Node #3: [57, 5] from Operation: 80/16=5
Current State: 62:[57, 5], Operations: ['93-36=57', '80/16=5']
Exploring Operation: 57+5=62, Resulting Numbers: [62]
62,62 equal: Goal Reached
| 4 |
[
63,
53,
65,
59
] | 12 | [
"65-63=2",
"59-53=6",
"2*6=12"
] | Current State: 12:[63, 53, 65, 59], Operations: []
Exploring Operation: 65-63=2, Resulting Numbers: [53, 59, 2]
Generated Node #2: [53, 59, 2] from Operation: 65-63=2
Current State: 12:[53, 59, 2], Operations: ['65-63=2']
Exploring Operation: 59-53=6, Resulting Numbers: [2, 6]
Generated Node #3: [2, 6] from Operation: 59-53=6
Current State: 12:[2, 6], Operations: ['65-63=2', '59-53=6']
Exploring Operation: 2*6=12, Resulting Numbers: [12]
12,12 equal: Goal Reached
| 4 |
[
5,
42,
71,
17
] | 56 | [
"5*17=85",
"71-42=29",
"85-29=56"
] | Current State: 56:[5, 42, 71, 17], Operations: []
Exploring Operation: 5*17=85, Resulting Numbers: [42, 71, 85]
Generated Node #2: [42, 71, 85] from Operation: 5*17=85
Current State: 56:[42, 71, 85], Operations: ['5*17=85']
Exploring Operation: 71-42=29, Resulting Numbers: [85, 29]
Generated Node #3: [85, 29] from Operation: 71-42=29
Current State: 56:[85, 29], Operations: ['5*17=85', '71-42=29']
Exploring Operation: 85-29=56, Resulting Numbers: [56]
56,56 equal: Goal Reached
| 4 |
[
76,
57,
38,
80
] | 76 | [
"80-76=4",
"57-38=19",
"4*19=76"
] | Current State: 76:[76, 57, 38, 80], Operations: []
Exploring Operation: 80-76=4, Resulting Numbers: [57, 38, 4]
Generated Node #2: [57, 38, 4] from Operation: 80-76=4
Current State: 76:[57, 38, 4], Operations: ['80-76=4']
Exploring Operation: 57-38=19, Resulting Numbers: [4, 19]
Generated Node #3: [4, 19] from Operation: 57-38=19
Current State: 76:[4, 19], Operations: ['80-76=4', '57-38=19']
Exploring Operation: 4*19=76, Resulting Numbers: [76]
76,76 equal: Goal Reached
| 4 |
[
36,
17,
5,
65
] | 17 | [
"36+17=53",
"5+65=70",
"70-53=17"
] | Current State: 17:[36, 17, 5, 65], Operations: []
Exploring Operation: 36+17=53, Resulting Numbers: [5, 65, 53]
Generated Node #2: [5, 65, 53] from Operation: 36+17=53
Current State: 17:[5, 65, 53], Operations: ['36+17=53']
Exploring Operation: 5+65=70, Resulting Numbers: [53, 70]
Generated Node #3: [53, 70] from Operation: 5+65=70
Current State: 17:[53, 70], Operations: ['36+17=53', '5+65=70']
Exploring Operation: 70-53=17, Resulting Numbers: [17]
17,17 equal: Goal Reached
| 4 |
[
35,
24,
2,
29
] | 75 | [
"35*2=70",
"29-24=5",
"70+5=75"
] | Current State: 75:[35, 24, 2, 29], Operations: []
Exploring Operation: 35*2=70, Resulting Numbers: [24, 29, 70]
Generated Node #2: [24, 29, 70] from Operation: 35*2=70
Current State: 75:[24, 29, 70], Operations: ['35*2=70']
Exploring Operation: 29-24=5, Resulting Numbers: [70, 5]
Generated Node #3: [70, 5] from Operation: 29-24=5
Current State: 75:[70, 5], Operations: ['35*2=70', '29-24=5']
Exploring Operation: 70+5=75, Resulting Numbers: [75]
75,75 equal: Goal Reached
| 4 |
[
44,
30,
5,
26
] | 24 | [
"44-26=18",
"30/5=6",
"18+6=24"
] | Current State: 24:[44, 30, 5, 26], Operations: []
Exploring Operation: 44-26=18, Resulting Numbers: [30, 5, 18]
Generated Node #2: [30, 5, 18] from Operation: 44-26=18
Current State: 24:[30, 5, 18], Operations: ['44-26=18']
Exploring Operation: 30/5=6, Resulting Numbers: [18, 6]
Generated Node #3: [18, 6] from Operation: 30/5=6
Current State: 24:[18, 6], Operations: ['44-26=18', '30/5=6']
Exploring Operation: 18+6=24, Resulting Numbers: [24]
24,24 equal: Goal Reached
| 4 |
[
88,
52,
54,
9
] | 99 | [
"88-52=36",
"54+9=63",
"36+63=99"
] | Current State: 99:[88, 52, 54, 9], Operations: []
Exploring Operation: 88-52=36, Resulting Numbers: [54, 9, 36]
Generated Node #2: [54, 9, 36] from Operation: 88-52=36
Current State: 99:[54, 9, 36], Operations: ['88-52=36']
Exploring Operation: 54+9=63, Resulting Numbers: [36, 63]
Generated Node #3: [36, 63] from Operation: 54+9=63
Current State: 99:[36, 63], Operations: ['88-52=36', '54+9=63']
Exploring Operation: 36+63=99, Resulting Numbers: [99]
99,99 equal: Goal Reached
| 4 |
[
78,
75,
54,
40
] | 91 | [
"78-75=3",
"54+40=94",
"94-3=91"
] | Current State: 91:[78, 75, 54, 40], Operations: []
Exploring Operation: 78-75=3, Resulting Numbers: [54, 40, 3]
Generated Node #2: [54, 40, 3] from Operation: 78-75=3
Current State: 91:[54, 40, 3], Operations: ['78-75=3']
Exploring Operation: 54+40=94, Resulting Numbers: [3, 94]
Generated Node #3: [3, 94] from Operation: 54+40=94
Current State: 91:[3, 94], Operations: ['78-75=3', '54+40=94']
Exploring Operation: 94-3=91, Resulting Numbers: [91]
91,91 equal: Goal Reached
| 4 |
[
38,
78,
79,
59
] | 21 | [
"59-38=21",
"79-78=1",
"21*1=21"
] | Current State: 21:[38, 78, 79, 59], Operations: []
Exploring Operation: 59-38=21, Resulting Numbers: [78, 79, 21]
Generated Node #2: [78, 79, 21] from Operation: 59-38=21
Current State: 21:[78, 79, 21], Operations: ['59-38=21']
Exploring Operation: 79-78=1, Resulting Numbers: [21, 1]
Generated Node #3: [21, 1] from Operation: 79-78=1
Current State: 21:[21, 1], Operations: ['59-38=21', '79-78=1']
Exploring Operation: 21*1=21, Resulting Numbers: [21]
21,21 equal: Goal Reached
| 4 |
[
89,
4,
50,
25
] | 68 | [
"89+4=93",
"50-25=25",
"93-25=68"
] | Current State: 68:[89, 4, 50, 25], Operations: []
Exploring Operation: 89+4=93, Resulting Numbers: [50, 25, 93]
Generated Node #2: [50, 25, 93] from Operation: 89+4=93
Current State: 68:[50, 25, 93], Operations: ['89+4=93']
Exploring Operation: 50-25=25, Resulting Numbers: [93, 25]
Generated Node #3: [93, 25] from Operation: 50-25=25
Current State: 68:[93, 25], Operations: ['89+4=93', '50-25=25']
Exploring Operation: 93-25=68, Resulting Numbers: [68]
68,68 equal: Goal Reached
| 4 |
[
23,
61,
20,
74
] | 16 | [
"61-23=38",
"74-20=54",
"54-38=16"
] | Current State: 16:[23, 61, 20, 74], Operations: []
Exploring Operation: 61-23=38, Resulting Numbers: [20, 74, 38]
Generated Node #2: [20, 74, 38] from Operation: 61-23=38
Current State: 16:[20, 74, 38], Operations: ['61-23=38']
Exploring Operation: 74-20=54, Resulting Numbers: [38, 54]
Generated Node #3: [38, 54] from Operation: 74-20=54
Current State: 16:[38, 54], Operations: ['61-23=38', '74-20=54']
Exploring Operation: 54-38=16, Resulting Numbers: [16]
16,16 equal: Goal Reached
| 4 |
[
61,
80,
8,
63
] | 64 | [
"63-61=2",
"8*2=16",
"80-16=64"
] | Current State: 64:[61, 80, 8, 63], Operations: []
Exploring Operation: 63-61=2, Resulting Numbers: [80, 8, 2]
Generated Node #2: [80, 8, 2] from Operation: 63-61=2
Current State: 64:[80, 8, 2], Operations: ['63-61=2']
Exploring Operation: 8*2=16, Resulting Numbers: [80, 16]
Generated Node #3: [80, 16] from Operation: 8*2=16
Current State: 64:[80, 16], Operations: ['63-61=2', '8*2=16']
Exploring Operation: 80-16=64, Resulting Numbers: [64]
64,64 equal: Goal Reached
| 4 |
[
29,
58,
49,
71
] | 91 | [
"58-29=29",
"49+71=120",
"120-29=91"
] | Current State: 91:[29, 58, 49, 71], Operations: []
Exploring Operation: 58-29=29, Resulting Numbers: [49, 71, 29]
Generated Node #2: [49, 71, 29] from Operation: 58-29=29
Current State: 91:[49, 71, 29], Operations: ['58-29=29']
Exploring Operation: 49+71=120, Resulting Numbers: [29, 120]
Generated Node #3: [29, 120] from Operation: 49+71=120
Current State: 91:[29, 120], Operations: ['58-29=29', '49+71=120']
Exploring Operation: 120-29=91, Resulting Numbers: [91]
91,91 equal: Goal Reached
| 4 |
[
25,
69,
3,
79
] | 77 | [
"79-25=54",
"69/3=23",
"54+23=77"
] | Current State: 77:[25, 69, 3, 79], Operations: []
Exploring Operation: 79-25=54, Resulting Numbers: [69, 3, 54]
Generated Node #2: [69, 3, 54] from Operation: 79-25=54
Current State: 77:[69, 3, 54], Operations: ['79-25=54']
Exploring Operation: 69/3=23, Resulting Numbers: [54, 23]
Generated Node #3: [54, 23] from Operation: 69/3=23
Current State: 77:[54, 23], Operations: ['79-25=54', '69/3=23']
Exploring Operation: 54+23=77, Resulting Numbers: [77]
77,77 equal: Goal Reached
| 4 |
[
58,
89,
2,
3
] | 12 | [
"89+3=92",
"92/2=46",
"58-46=12"
] | Current State: 12:[58, 89, 2, 3], Operations: []
Exploring Operation: 89+3=92, Resulting Numbers: [58, 2, 92]
Generated Node #2: [58, 2, 92] from Operation: 89+3=92
Current State: 12:[58, 2, 92], Operations: ['89+3=92']
Exploring Operation: 92/2=46, Resulting Numbers: [58, 46]
Generated Node #3: [58, 46] from Operation: 92/2=46
Current State: 12:[58, 46], Operations: ['89+3=92', '92/2=46']
Exploring Operation: 58-46=12, Resulting Numbers: [12]
12,12 equal: Goal Reached
| 4 |
[
60,
24,
27,
59
] | 80 | [
"59-27=32",
"60*32=1920",
"1920/24=80"
] | Current State: 80:[60, 24, 27, 59], Operations: []
Exploring Operation: 59-27=32, Resulting Numbers: [60, 24, 32]
Generated Node #2: [60, 24, 32] from Operation: 59-27=32
Current State: 80:[60, 24, 32], Operations: ['59-27=32']
Exploring Operation: 60*32=1920, Resulting Numbers: [24, 1920]
Generated Node #3: [24, 1920] from Operation: 60*32=1920
Current State: 80:[24, 1920], Operations: ['59-27=32', '60*32=1920']
Exploring Operation: 1920/24=80, Resulting Numbers: [80]
80,80 equal: Goal Reached
| 4 |
[
3,
74,
6,
40
] | 40 | [
"3*40=120",
"74+6=80",
"120-80=40"
] | Current State: 40:[3, 74, 6, 40], Operations: []
Exploring Operation: 3*40=120, Resulting Numbers: [74, 6, 120]
Generated Node #2: [74, 6, 120] from Operation: 3*40=120
Current State: 40:[74, 6, 120], Operations: ['3*40=120']
Exploring Operation: 74+6=80, Resulting Numbers: [120, 80]
Generated Node #3: [120, 80] from Operation: 74+6=80
Current State: 40:[120, 80], Operations: ['3*40=120', '74+6=80']
Exploring Operation: 120-80=40, Resulting Numbers: [40]
40,40 equal: Goal Reached
| 4 |
[
41,
1,
2,
16
] | 32 | [
"41-1=40",
"16/2=8",
"40-8=32"
] | Current State: 32:[41, 1, 2, 16], Operations: []
Exploring Operation: 41-1=40, Resulting Numbers: [2, 16, 40]
Generated Node #2: [2, 16, 40] from Operation: 41-1=40
Current State: 32:[2, 16, 40], Operations: ['41-1=40']
Exploring Operation: 16/2=8, Resulting Numbers: [40, 8]
Generated Node #3: [40, 8] from Operation: 16/2=8
Current State: 32:[40, 8], Operations: ['41-1=40', '16/2=8']
Exploring Operation: 40-8=32, Resulting Numbers: [32]
32,32 equal: Goal Reached
| 4 |
[
25,
89,
65,
71
] | 58 | [
"89-25=64",
"71-65=6",
"64-6=58"
] | Current State: 58:[25, 89, 65, 71], Operations: []
Exploring Operation: 89-25=64, Resulting Numbers: [65, 71, 64]
Generated Node #2: [65, 71, 64] from Operation: 89-25=64
Current State: 58:[65, 71, 64], Operations: ['89-25=64']
Exploring Operation: 71-65=6, Resulting Numbers: [64, 6]
Generated Node #3: [64, 6] from Operation: 71-65=6
Current State: 58:[64, 6], Operations: ['89-25=64', '71-65=6']
Exploring Operation: 64-6=58, Resulting Numbers: [58]
58,58 equal: Goal Reached
| 4 |
[
36,
26,
48,
62
] | 66 | [
"26+62=88",
"36*88=3168",
"3168/48=66"
] | Current State: 66:[36, 26, 48, 62], Operations: []
Exploring Operation: 26+62=88, Resulting Numbers: [36, 48, 88]
Generated Node #2: [36, 48, 88] from Operation: 26+62=88
Current State: 66:[36, 48, 88], Operations: ['26+62=88']
Exploring Operation: 36*88=3168, Resulting Numbers: [48, 3168]
Generated Node #3: [48, 3168] from Operation: 36*88=3168
Current State: 66:[48, 3168], Operations: ['26+62=88', '36*88=3168']
Exploring Operation: 3168/48=66, Resulting Numbers: [66]
66,66 equal: Goal Reached
| 4 |
[
75,
43,
11,
87
] | 24 | [
"11*87=957",
"75+957=1032",
"1032/43=24"
] | Current State: 24:[75, 43, 11, 87], Operations: []
Exploring Operation: 11*87=957, Resulting Numbers: [75, 43, 957]
Generated Node #2: [75, 43, 957] from Operation: 11*87=957
Current State: 24:[75, 43, 957], Operations: ['11*87=957']
Exploring Operation: 75+957=1032, Resulting Numbers: [43, 1032]
Generated Node #3: [43, 1032] from Operation: 75+957=1032
Current State: 24:[43, 1032], Operations: ['11*87=957', '75+957=1032']
Exploring Operation: 1032/43=24, Resulting Numbers: [24]
24,24 equal: Goal Reached
| 4 |
[
41,
55,
8,
33
] | 27 | [
"55-41=14",
"8+33=41",
"41-14=27"
] | Current State: 27:[41, 55, 8, 33], Operations: []
Exploring Operation: 55-41=14, Resulting Numbers: [8, 33, 14]
Generated Node #2: [8, 33, 14] from Operation: 55-41=14
Current State: 27:[8, 33, 14], Operations: ['55-41=14']
Exploring Operation: 8+33=41, Resulting Numbers: [14, 41]
Generated Node #3: [14, 41] from Operation: 8+33=41
Current State: 27:[14, 41], Operations: ['55-41=14', '8+33=41']
Exploring Operation: 41-14=27, Resulting Numbers: [27]
27,27 equal: Goal Reached
| 4 |
[
52,
69,
82,
97
] | 58 | [
"52+69=121",
"82+97=179",
"179-121=58"
] | Current State: 58:[52, 69, 82, 97], Operations: []
Exploring Operation: 52+69=121, Resulting Numbers: [82, 97, 121]
Generated Node #2: [82, 97, 121] from Operation: 52+69=121
Current State: 58:[82, 97, 121], Operations: ['52+69=121']
Exploring Operation: 82+97=179, Resulting Numbers: [121, 179]
Generated Node #3: [121, 179] from Operation: 82+97=179
Current State: 58:[121, 179], Operations: ['52+69=121', '82+97=179']
Exploring Operation: 179-121=58, Resulting Numbers: [58]
58,58 equal: Goal Reached
| 4 |
[
52,
79,
46,
2
] | 67 | [
"52-46=6",
"2*6=12",
"79-12=67"
] | Current State: 67:[52, 79, 46, 2], Operations: []
Exploring Operation: 52-46=6, Resulting Numbers: [79, 2, 6]
Generated Node #2: [79, 2, 6] from Operation: 52-46=6
Current State: 67:[79, 2, 6], Operations: ['52-46=6']
Exploring Operation: 2*6=12, Resulting Numbers: [79, 12]
Generated Node #3: [79, 12] from Operation: 2*6=12
Current State: 67:[79, 12], Operations: ['52-46=6', '2*6=12']
Exploring Operation: 79-12=67, Resulting Numbers: [67]
67,67 equal: Goal Reached
| 4 |
[
47,
2,
34,
41
] | 10 | [
"47+41=88",
"88/2=44",
"44-34=10"
] | Current State: 10:[47, 2, 34, 41], Operations: []
Exploring Operation: 47+41=88, Resulting Numbers: [2, 34, 88]
Generated Node #2: [2, 34, 88] from Operation: 47+41=88
Current State: 10:[2, 34, 88], Operations: ['47+41=88']
Exploring Operation: 88/2=44, Resulting Numbers: [34, 44]
Generated Node #3: [34, 44] from Operation: 88/2=44
Current State: 10:[34, 44], Operations: ['47+41=88', '88/2=44']
Exploring Operation: 44-34=10, Resulting Numbers: [10]
10,10 equal: Goal Reached
| 4 |
[
4,
2,
60,
84
] | 12 | [
"4-2=2",
"84-60=24",
"24/2=12"
] | Current State: 12:[4, 2, 60, 84], Operations: []
Exploring Operation: 4-2=2, Resulting Numbers: [60, 84, 2]
Generated Node #2: [60, 84, 2] from Operation: 4-2=2
Current State: 12:[60, 84, 2], Operations: ['4-2=2']
Exploring Operation: 84-60=24, Resulting Numbers: [2, 24]
Generated Node #3: [2, 24] from Operation: 84-60=24
Current State: 12:[2, 24], Operations: ['4-2=2', '84-60=24']
Exploring Operation: 24/2=12, Resulting Numbers: [12]
12,12 equal: Goal Reached
| 4 |
[
38,
3,
3,
93
] | 68 | [
"93-3=90",
"90/3=30",
"38+30=68"
] | Current State: 68:[38, 3, 3, 93], Operations: []
Exploring Operation: 93-3=90, Resulting Numbers: [38, 90]
Generated Node #2: [38, 90] from Operation: 93-3=90
Current State: 68:[38, 90], Operations: ['93-3=90']
Exploring Operation: 90/3=30, Resulting Numbers: [38, 30]
Generated Node #3: [38, 30] from Operation: 90/3=30
Current State: 68:[38, 30], Operations: ['93-3=90', '90/3=30']
Exploring Operation: 38+30=68, Resulting Numbers: [68]
68,68 equal: Goal Reached
| 4 |
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