nums
listlengths 4
4
| target
int64 10
100
| solution
listlengths 3
3
| optimal_path
stringlengths 282
529
| start_size
int64 4
4
|
|---|---|---|---|---|
[
37,
91,
38,
43
] | 94
|
[
"43-38=5",
"37*5=185",
"185-91=94"
] |
Current State: 94:[37, 91, 38, 43], Operations: []
Exploring Operation: 43-38=5, Resulting Numbers: [37, 91, 5]
Generated Node #2: [37, 91, 5] from Operation: 43-38=5
Current State: 94:[37, 91, 5], Operations: ['43-38=5']
Exploring Operation: 37*5=185, Resulting Numbers: [91, 185]
Generated Node #3: [91, 185] from Operation: 37*5=185
Current State: 94:[91, 185], Operations: ['43-38=5', '37*5=185']
Exploring Operation: 185-91=94, Resulting Numbers: [94]
94,94 equal: Goal Reached
| 4
|
[
11,
52,
76,
76
] | 95
|
[
"76-11=65",
"76*65=4940",
"4940/52=95"
] |
Current State: 95:[11, 52, 76, 76], Operations: []
Exploring Operation: 76-11=65, Resulting Numbers: [52, 65]
Generated Node #2: [52, 65] from Operation: 76-11=65
Current State: 95:[52, 65], Operations: ['76-11=65']
Exploring Operation: 76*65=4940, Resulting Numbers: [52, 4940]
Generated Node #3: [52, 4940] from Operation: 76*65=4940
Current State: 95:[52, 4940], Operations: ['76-11=65', '76*65=4940']
Exploring Operation: 4940/52=95, Resulting Numbers: [95]
95,95 equal: Goal Reached
| 4
|
[
20,
26,
43,
58
] | 42
|
[
"20*58=1160",
"26*43=1118",
"1160-1118=42"
] |
Current State: 42:[20, 26, 43, 58], Operations: []
Exploring Operation: 20*58=1160, Resulting Numbers: [26, 43, 1160]
Generated Node #2: [26, 43, 1160] from Operation: 20*58=1160
Current State: 42:[26, 43, 1160], Operations: ['20*58=1160']
Exploring Operation: 26*43=1118, Resulting Numbers: [1160, 1118]
Generated Node #3: [1160, 1118] from Operation: 26*43=1118
Current State: 42:[1160, 1118], Operations: ['20*58=1160', '26*43=1118']
Exploring Operation: 1160-1118=42, Resulting Numbers: [42]
42,42 equal: Goal Reached
| 4
|
[
21,
40,
55,
3
] | 88
|
[
"21/3=7",
"40+55=95",
"95-7=88"
] |
Current State: 88:[21, 40, 55, 3], Operations: []
Exploring Operation: 21/3=7, Resulting Numbers: [40, 55, 7]
Generated Node #2: [40, 55, 7] from Operation: 21/3=7
Current State: 88:[40, 55, 7], Operations: ['21/3=7']
Exploring Operation: 40+55=95, Resulting Numbers: [7, 95]
Generated Node #3: [7, 95] from Operation: 40+55=95
Current State: 88:[7, 95], Operations: ['21/3=7', '40+55=95']
Exploring Operation: 95-7=88, Resulting Numbers: [88]
88,88 equal: Goal Reached
| 4
|
[
95,
16,
97,
3
] | 92
|
[
"16+3=19",
"95/19=5",
"97-5=92"
] |
Current State: 92:[95, 16, 97, 3], Operations: []
Exploring Operation: 16+3=19, Resulting Numbers: [95, 97, 19]
Generated Node #2: [95, 97, 19] from Operation: 16+3=19
Current State: 92:[95, 97, 19], Operations: ['16+3=19']
Exploring Operation: 95/19=5, Resulting Numbers: [97, 5]
Generated Node #3: [97, 5] from Operation: 95/19=5
Current State: 92:[97, 5], Operations: ['16+3=19', '95/19=5']
Exploring Operation: 97-5=92, Resulting Numbers: [92]
92,92 equal: Goal Reached
| 4
|
[
52,
17,
22,
72
] | 59
|
[
"52-17=35",
"22+72=94",
"94-35=59"
] |
Current State: 59:[52, 17, 22, 72], Operations: []
Exploring Operation: 52-17=35, Resulting Numbers: [22, 72, 35]
Generated Node #2: [22, 72, 35] from Operation: 52-17=35
Current State: 59:[22, 72, 35], Operations: ['52-17=35']
Exploring Operation: 22+72=94, Resulting Numbers: [35, 94]
Generated Node #3: [35, 94] from Operation: 22+72=94
Current State: 59:[35, 94], Operations: ['52-17=35', '22+72=94']
Exploring Operation: 94-35=59, Resulting Numbers: [59]
59,59 equal: Goal Reached
| 4
|
[
85,
23,
14,
32
] | 41
|
[
"32-23=9",
"14*9=126",
"126-85=41"
] |
Current State: 41:[85, 23, 14, 32], Operations: []
Exploring Operation: 32-23=9, Resulting Numbers: [85, 14, 9]
Generated Node #2: [85, 14, 9] from Operation: 32-23=9
Current State: 41:[85, 14, 9], Operations: ['32-23=9']
Exploring Operation: 14*9=126, Resulting Numbers: [85, 126]
Generated Node #3: [85, 126] from Operation: 14*9=126
Current State: 41:[85, 126], Operations: ['32-23=9', '14*9=126']
Exploring Operation: 126-85=41, Resulting Numbers: [41]
41,41 equal: Goal Reached
| 4
|
[
84,
63,
4,
84
] | 84
|
[
"84+84=168",
"63*4=252",
"252-168=84"
] |
Current State: 84:[84, 63, 4, 84], Operations: []
Exploring Operation: 84+84=168, Resulting Numbers: [63, 4, 168]
Generated Node #2: [63, 4, 168] from Operation: 84+84=168
Current State: 84:[63, 4, 168], Operations: ['84+84=168']
Exploring Operation: 63*4=252, Resulting Numbers: [168, 252]
Generated Node #3: [168, 252] from Operation: 63*4=252
Current State: 84:[168, 252], Operations: ['84+84=168', '63*4=252']
Exploring Operation: 252-168=84, Resulting Numbers: [84]
84,84 equal: Goal Reached
| 4
|
[
50,
12,
90,
17
] | 11
|
[
"50+12=62",
"90-17=73",
"73-62=11"
] |
Current State: 11:[50, 12, 90, 17], Operations: []
Exploring Operation: 50+12=62, Resulting Numbers: [90, 17, 62]
Generated Node #2: [90, 17, 62] from Operation: 50+12=62
Current State: 11:[90, 17, 62], Operations: ['50+12=62']
Exploring Operation: 90-17=73, Resulting Numbers: [62, 73]
Generated Node #3: [62, 73] from Operation: 90-17=73
Current State: 11:[62, 73], Operations: ['50+12=62', '90-17=73']
Exploring Operation: 73-62=11, Resulting Numbers: [11]
11,11 equal: Goal Reached
| 4
|
[
32,
23,
48,
74
] | 17
|
[
"32-23=9",
"74-48=26",
"26-9=17"
] |
Current State: 17:[32, 23, 48, 74], Operations: []
Exploring Operation: 32-23=9, Resulting Numbers: [48, 74, 9]
Generated Node #2: [48, 74, 9] from Operation: 32-23=9
Current State: 17:[48, 74, 9], Operations: ['32-23=9']
Exploring Operation: 74-48=26, Resulting Numbers: [9, 26]
Generated Node #3: [9, 26] from Operation: 74-48=26
Current State: 17:[9, 26], Operations: ['32-23=9', '74-48=26']
Exploring Operation: 26-9=17, Resulting Numbers: [17]
17,17 equal: Goal Reached
| 4
|
[
40,
27,
65,
79
] | 74
|
[
"40-27=13",
"65/13=5",
"79-5=74"
] |
Current State: 74:[40, 27, 65, 79], Operations: []
Exploring Operation: 40-27=13, Resulting Numbers: [65, 79, 13]
Generated Node #2: [65, 79, 13] from Operation: 40-27=13
Current State: 74:[65, 79, 13], Operations: ['40-27=13']
Exploring Operation: 65/13=5, Resulting Numbers: [79, 5]
Generated Node #3: [79, 5] from Operation: 65/13=5
Current State: 74:[79, 5], Operations: ['40-27=13', '65/13=5']
Exploring Operation: 79-5=74, Resulting Numbers: [74]
74,74 equal: Goal Reached
| 4
|
[
7,
64,
47,
44
] | 19
|
[
"64-7=57",
"47-44=3",
"57/3=19"
] |
Current State: 19:[7, 64, 47, 44], Operations: []
Exploring Operation: 64-7=57, Resulting Numbers: [47, 44, 57]
Generated Node #2: [47, 44, 57] from Operation: 64-7=57
Current State: 19:[47, 44, 57], Operations: ['64-7=57']
Exploring Operation: 47-44=3, Resulting Numbers: [57, 3]
Generated Node #3: [57, 3] from Operation: 47-44=3
Current State: 19:[57, 3], Operations: ['64-7=57', '47-44=3']
Exploring Operation: 57/3=19, Resulting Numbers: [19]
19,19 equal: Goal Reached
| 4
|
[
5,
58,
75,
89
] | 46
|
[
"75/5=15",
"89-58=31",
"15+31=46"
] |
Current State: 46:[5, 58, 75, 89], Operations: []
Exploring Operation: 75/5=15, Resulting Numbers: [58, 89, 15]
Generated Node #2: [58, 89, 15] from Operation: 75/5=15
Current State: 46:[58, 89, 15], Operations: ['75/5=15']
Exploring Operation: 89-58=31, Resulting Numbers: [15, 31]
Generated Node #3: [15, 31] from Operation: 89-58=31
Current State: 46:[15, 31], Operations: ['75/5=15', '89-58=31']
Exploring Operation: 15+31=46, Resulting Numbers: [46]
46,46 equal: Goal Reached
| 4
|
[
7,
23,
24,
54
] | 35
|
[
"23+54=77",
"77/7=11",
"24+11=35"
] |
Current State: 35:[7, 23, 24, 54], Operations: []
Exploring Operation: 23+54=77, Resulting Numbers: [7, 24, 77]
Generated Node #2: [7, 24, 77] from Operation: 23+54=77
Current State: 35:[7, 24, 77], Operations: ['23+54=77']
Exploring Operation: 77/7=11, Resulting Numbers: [24, 11]
Generated Node #3: [24, 11] from Operation: 77/7=11
Current State: 35:[24, 11], Operations: ['23+54=77', '77/7=11']
Exploring Operation: 24+11=35, Resulting Numbers: [35]
35,35 equal: Goal Reached
| 4
|
[
3,
64,
1,
91
] | 78
|
[
"64+1=65",
"91-65=26",
"3*26=78"
] |
Current State: 78:[3, 64, 1, 91], Operations: []
Exploring Operation: 64+1=65, Resulting Numbers: [3, 91, 65]
Generated Node #2: [3, 91, 65] from Operation: 64+1=65
Current State: 78:[3, 91, 65], Operations: ['64+1=65']
Exploring Operation: 91-65=26, Resulting Numbers: [3, 26]
Generated Node #3: [3, 26] from Operation: 91-65=26
Current State: 78:[3, 26], Operations: ['64+1=65', '91-65=26']
Exploring Operation: 3*26=78, Resulting Numbers: [78]
78,78 equal: Goal Reached
| 4
|
[
29,
26,
60,
4
] | 27
|
[
"26+4=30",
"60/30=2",
"29-2=27"
] |
Current State: 27:[29, 26, 60, 4], Operations: []
Exploring Operation: 26+4=30, Resulting Numbers: [29, 60, 30]
Generated Node #2: [29, 60, 30] from Operation: 26+4=30
Current State: 27:[29, 60, 30], Operations: ['26+4=30']
Exploring Operation: 60/30=2, Resulting Numbers: [29, 2]
Generated Node #3: [29, 2] from Operation: 60/30=2
Current State: 27:[29, 2], Operations: ['26+4=30', '60/30=2']
Exploring Operation: 29-2=27, Resulting Numbers: [27]
27,27 equal: Goal Reached
| 4
|
[
76,
11,
88,
78
] | 74
|
[
"76+78=154",
"154/11=14",
"88-14=74"
] |
Current State: 74:[76, 11, 88, 78], Operations: []
Exploring Operation: 76+78=154, Resulting Numbers: [11, 88, 154]
Generated Node #2: [11, 88, 154] from Operation: 76+78=154
Current State: 74:[11, 88, 154], Operations: ['76+78=154']
Exploring Operation: 154/11=14, Resulting Numbers: [88, 14]
Generated Node #3: [88, 14] from Operation: 154/11=14
Current State: 74:[88, 14], Operations: ['76+78=154', '154/11=14']
Exploring Operation: 88-14=74, Resulting Numbers: [74]
74,74 equal: Goal Reached
| 4
|
[
66,
95,
5,
14
] | 75
|
[
"95-66=29",
"29-14=15",
"5*15=75"
] |
Current State: 75:[66, 95, 5, 14], Operations: []
Exploring Operation: 95-66=29, Resulting Numbers: [5, 14, 29]
Generated Node #2: [5, 14, 29] from Operation: 95-66=29
Current State: 75:[5, 14, 29], Operations: ['95-66=29']
Exploring Operation: 29-14=15, Resulting Numbers: [5, 15]
Generated Node #3: [5, 15] from Operation: 29-14=15
Current State: 75:[5, 15], Operations: ['95-66=29', '29-14=15']
Exploring Operation: 5*15=75, Resulting Numbers: [75]
75,75 equal: Goal Reached
| 4
|
[
6,
24,
22,
17
] | 64
|
[
"24-17=7",
"6*7=42",
"22+42=64"
] |
Current State: 64:[6, 24, 22, 17], Operations: []
Exploring Operation: 24-17=7, Resulting Numbers: [6, 22, 7]
Generated Node #2: [6, 22, 7] from Operation: 24-17=7
Current State: 64:[6, 22, 7], Operations: ['24-17=7']
Exploring Operation: 6*7=42, Resulting Numbers: [22, 42]
Generated Node #3: [22, 42] from Operation: 6*7=42
Current State: 64:[22, 42], Operations: ['24-17=7', '6*7=42']
Exploring Operation: 22+42=64, Resulting Numbers: [64]
64,64 equal: Goal Reached
| 4
|
[
35,
53,
24,
78
] | 36
|
[
"53-35=18",
"78-24=54",
"54-18=36"
] |
Current State: 36:[35, 53, 24, 78], Operations: []
Exploring Operation: 53-35=18, Resulting Numbers: [24, 78, 18]
Generated Node #2: [24, 78, 18] from Operation: 53-35=18
Current State: 36:[24, 78, 18], Operations: ['53-35=18']
Exploring Operation: 78-24=54, Resulting Numbers: [18, 54]
Generated Node #3: [18, 54] from Operation: 78-24=54
Current State: 36:[18, 54], Operations: ['53-35=18', '78-24=54']
Exploring Operation: 54-18=36, Resulting Numbers: [36]
36,36 equal: Goal Reached
| 4
|
[
67,
16,
49,
44
] | 13
|
[
"16*44=704",
"704-67=637",
"637/49=13"
] |
Current State: 13:[67, 16, 49, 44], Operations: []
Exploring Operation: 16*44=704, Resulting Numbers: [67, 49, 704]
Generated Node #2: [67, 49, 704] from Operation: 16*44=704
Current State: 13:[67, 49, 704], Operations: ['16*44=704']
Exploring Operation: 704-67=637, Resulting Numbers: [49, 637]
Generated Node #3: [49, 637] from Operation: 704-67=637
Current State: 13:[49, 637], Operations: ['16*44=704', '704-67=637']
Exploring Operation: 637/49=13, Resulting Numbers: [13]
13,13 equal: Goal Reached
| 4
|
[
24,
50,
83,
2
] | 82
|
[
"24+83=107",
"50/2=25",
"107-25=82"
] |
Current State: 82:[24, 50, 83, 2], Operations: []
Exploring Operation: 24+83=107, Resulting Numbers: [50, 2, 107]
Generated Node #2: [50, 2, 107] from Operation: 24+83=107
Current State: 82:[50, 2, 107], Operations: ['24+83=107']
Exploring Operation: 50/2=25, Resulting Numbers: [107, 25]
Generated Node #3: [107, 25] from Operation: 50/2=25
Current State: 82:[107, 25], Operations: ['24+83=107', '50/2=25']
Exploring Operation: 107-25=82, Resulting Numbers: [82]
82,82 equal: Goal Reached
| 4
|
[
13,
38,
10,
60
] | 40
|
[
"13*60=780",
"780/10=78",
"78-38=40"
] |
Current State: 40:[13, 38, 10, 60], Operations: []
Exploring Operation: 13*60=780, Resulting Numbers: [38, 10, 780]
Generated Node #2: [38, 10, 780] from Operation: 13*60=780
Current State: 40:[38, 10, 780], Operations: ['13*60=780']
Exploring Operation: 780/10=78, Resulting Numbers: [38, 78]
Generated Node #3: [38, 78] from Operation: 780/10=78
Current State: 40:[38, 78], Operations: ['13*60=780', '780/10=78']
Exploring Operation: 78-38=40, Resulting Numbers: [40]
40,40 equal: Goal Reached
| 4
|
[
34,
18,
15,
38
] | 37
|
[
"34-18=16",
"15+38=53",
"53-16=37"
] |
Current State: 37:[34, 18, 15, 38], Operations: []
Exploring Operation: 34-18=16, Resulting Numbers: [15, 38, 16]
Generated Node #2: [15, 38, 16] from Operation: 34-18=16
Current State: 37:[15, 38, 16], Operations: ['34-18=16']
Exploring Operation: 15+38=53, Resulting Numbers: [16, 53]
Generated Node #3: [16, 53] from Operation: 15+38=53
Current State: 37:[16, 53], Operations: ['34-18=16', '15+38=53']
Exploring Operation: 53-16=37, Resulting Numbers: [37]
37,37 equal: Goal Reached
| 4
|
[
9,
51,
18,
53
] | 77
|
[
"51-9=42",
"53-18=35",
"42+35=77"
] |
Current State: 77:[9, 51, 18, 53], Operations: []
Exploring Operation: 51-9=42, Resulting Numbers: [18, 53, 42]
Generated Node #2: [18, 53, 42] from Operation: 51-9=42
Current State: 77:[18, 53, 42], Operations: ['51-9=42']
Exploring Operation: 53-18=35, Resulting Numbers: [42, 35]
Generated Node #3: [42, 35] from Operation: 53-18=35
Current State: 77:[42, 35], Operations: ['51-9=42', '53-18=35']
Exploring Operation: 42+35=77, Resulting Numbers: [77]
77,77 equal: Goal Reached
| 4
|
[
60,
44,
3,
3
] | 25
|
[
"60-44=16",
"3*3=9",
"16+9=25"
] |
Current State: 25:[60, 44, 3, 3], Operations: []
Exploring Operation: 60-44=16, Resulting Numbers: [3, 3, 16]
Generated Node #2: [3, 3, 16] from Operation: 60-44=16
Current State: 25:[3, 3, 16], Operations: ['60-44=16']
Exploring Operation: 3*3=9, Resulting Numbers: [16, 9]
Generated Node #3: [16, 9] from Operation: 3*3=9
Current State: 25:[16, 9], Operations: ['60-44=16', '3*3=9']
Exploring Operation: 16+9=25, Resulting Numbers: [25]
25,25 equal: Goal Reached
| 4
|
[
20,
75,
70,
3
] | 65
|
[
"20+70=90",
"75/3=25",
"90-25=65"
] |
Current State: 65:[20, 75, 70, 3], Operations: []
Exploring Operation: 20+70=90, Resulting Numbers: [75, 3, 90]
Generated Node #2: [75, 3, 90] from Operation: 20+70=90
Current State: 65:[75, 3, 90], Operations: ['20+70=90']
Exploring Operation: 75/3=25, Resulting Numbers: [90, 25]
Generated Node #3: [90, 25] from Operation: 75/3=25
Current State: 65:[90, 25], Operations: ['20+70=90', '75/3=25']
Exploring Operation: 90-25=65, Resulting Numbers: [65]
65,65 equal: Goal Reached
| 4
|
[
19,
73,
78,
42
] | 66
|
[
"73-19=54",
"78+42=120",
"120-54=66"
] |
Current State: 66:[19, 73, 78, 42], Operations: []
Exploring Operation: 73-19=54, Resulting Numbers: [78, 42, 54]
Generated Node #2: [78, 42, 54] from Operation: 73-19=54
Current State: 66:[78, 42, 54], Operations: ['73-19=54']
Exploring Operation: 78+42=120, Resulting Numbers: [54, 120]
Generated Node #3: [54, 120] from Operation: 78+42=120
Current State: 66:[54, 120], Operations: ['73-19=54', '78+42=120']
Exploring Operation: 120-54=66, Resulting Numbers: [66]
66,66 equal: Goal Reached
| 4
|
[
36,
40,
44,
86
] | 88
|
[
"36+44=80",
"80/40=2",
"86+2=88"
] |
Current State: 88:[36, 40, 44, 86], Operations: []
Exploring Operation: 36+44=80, Resulting Numbers: [40, 86, 80]
Generated Node #2: [40, 86, 80] from Operation: 36+44=80
Current State: 88:[40, 86, 80], Operations: ['36+44=80']
Exploring Operation: 80/40=2, Resulting Numbers: [86, 2]
Generated Node #3: [86, 2] from Operation: 80/40=2
Current State: 88:[86, 2], Operations: ['36+44=80', '80/40=2']
Exploring Operation: 86+2=88, Resulting Numbers: [88]
88,88 equal: Goal Reached
| 4
|
[
64,
92,
29,
65
] | 64
|
[
"92-64=28",
"65-29=36",
"28+36=64"
] |
Current State: 64:[64, 92, 29, 65], Operations: []
Exploring Operation: 92-64=28, Resulting Numbers: [29, 65, 28]
Generated Node #2: [29, 65, 28] from Operation: 92-64=28
Current State: 64:[29, 65, 28], Operations: ['92-64=28']
Exploring Operation: 65-29=36, Resulting Numbers: [28, 36]
Generated Node #3: [28, 36] from Operation: 65-29=36
Current State: 64:[28, 36], Operations: ['92-64=28', '65-29=36']
Exploring Operation: 28+36=64, Resulting Numbers: [64]
64,64 equal: Goal Reached
| 4
|
[
32,
69,
99,
56
] | 54
|
[
"32+69=101",
"99+56=155",
"155-101=54"
] |
Current State: 54:[32, 69, 99, 56], Operations: []
Exploring Operation: 32+69=101, Resulting Numbers: [99, 56, 101]
Generated Node #2: [99, 56, 101] from Operation: 32+69=101
Current State: 54:[99, 56, 101], Operations: ['32+69=101']
Exploring Operation: 99+56=155, Resulting Numbers: [101, 155]
Generated Node #3: [101, 155] from Operation: 99+56=155
Current State: 54:[101, 155], Operations: ['32+69=101', '99+56=155']
Exploring Operation: 155-101=54, Resulting Numbers: [54]
54,54 equal: Goal Reached
| 4
|
[
69,
98,
96,
39
] | 60
|
[
"69-39=30",
"98-96=2",
"30*2=60"
] |
Current State: 60:[69, 98, 96, 39], Operations: []
Exploring Operation: 69-39=30, Resulting Numbers: [98, 96, 30]
Generated Node #2: [98, 96, 30] from Operation: 69-39=30
Current State: 60:[98, 96, 30], Operations: ['69-39=30']
Exploring Operation: 98-96=2, Resulting Numbers: [30, 2]
Generated Node #3: [30, 2] from Operation: 98-96=2
Current State: 60:[30, 2], Operations: ['69-39=30', '98-96=2']
Exploring Operation: 30*2=60, Resulting Numbers: [60]
60,60 equal: Goal Reached
| 4
|
[
83,
83,
13,
86
] | 74
|
[
"83/83=1",
"86-13=73",
"1+73=74"
] |
Current State: 74:[83, 83, 13, 86], Operations: []
Exploring Operation: 83/83=1, Resulting Numbers: [13, 86, 1]
Generated Node #2: [13, 86, 1] from Operation: 83/83=1
Current State: 74:[13, 86, 1], Operations: ['83/83=1']
Exploring Operation: 86-13=73, Resulting Numbers: [1, 73]
Generated Node #3: [1, 73] from Operation: 86-13=73
Current State: 74:[1, 73], Operations: ['83/83=1', '86-13=73']
Exploring Operation: 1+73=74, Resulting Numbers: [74]
74,74 equal: Goal Reached
| 4
|
[
92,
76,
59,
94
] | 21
|
[
"94-92=2",
"76/2=38",
"59-38=21"
] |
Current State: 21:[92, 76, 59, 94], Operations: []
Exploring Operation: 94-92=2, Resulting Numbers: [76, 59, 2]
Generated Node #2: [76, 59, 2] from Operation: 94-92=2
Current State: 21:[76, 59, 2], Operations: ['94-92=2']
Exploring Operation: 76/2=38, Resulting Numbers: [59, 38]
Generated Node #3: [59, 38] from Operation: 76/2=38
Current State: 21:[59, 38], Operations: ['94-92=2', '76/2=38']
Exploring Operation: 59-38=21, Resulting Numbers: [21]
21,21 equal: Goal Reached
| 4
|
[
11,
46,
13,
38
] | 86
|
[
"46-11=35",
"13+38=51",
"35+51=86"
] |
Current State: 86:[11, 46, 13, 38], Operations: []
Exploring Operation: 46-11=35, Resulting Numbers: [13, 38, 35]
Generated Node #2: [13, 38, 35] from Operation: 46-11=35
Current State: 86:[13, 38, 35], Operations: ['46-11=35']
Exploring Operation: 13+38=51, Resulting Numbers: [35, 51]
Generated Node #3: [35, 51] from Operation: 13+38=51
Current State: 86:[35, 51], Operations: ['46-11=35', '13+38=51']
Exploring Operation: 35+51=86, Resulting Numbers: [86]
86,86 equal: Goal Reached
| 4
|
[
67,
2,
17,
57
] | 37
|
[
"67-57=10",
"2*10=20",
"17+20=37"
] |
Current State: 37:[67, 2, 17, 57], Operations: []
Exploring Operation: 67-57=10, Resulting Numbers: [2, 17, 10]
Generated Node #2: [2, 17, 10] from Operation: 67-57=10
Current State: 37:[2, 17, 10], Operations: ['67-57=10']
Exploring Operation: 2*10=20, Resulting Numbers: [17, 20]
Generated Node #3: [17, 20] from Operation: 2*10=20
Current State: 37:[17, 20], Operations: ['67-57=10', '2*10=20']
Exploring Operation: 17+20=37, Resulting Numbers: [37]
37,37 equal: Goal Reached
| 4
|
[
25,
40,
24,
49
] | 41
|
[
"25+24=49",
"49/49=1",
"40+1=41"
] |
Current State: 41:[25, 40, 24, 49], Operations: []
Exploring Operation: 25+24=49, Resulting Numbers: [40, 49, 49]
Generated Node #2: [40, 49, 49] from Operation: 25+24=49
Current State: 41:[40, 49, 49], Operations: ['25+24=49']
Exploring Operation: 49/49=1, Resulting Numbers: [40, 1]
Generated Node #3: [40, 1] from Operation: 49/49=1
Current State: 41:[40, 1], Operations: ['25+24=49', '49/49=1']
Exploring Operation: 40+1=41, Resulting Numbers: [41]
41,41 equal: Goal Reached
| 4
|
[
96,
95,
93,
74
] | 91
|
[
"93-74=19",
"95/19=5",
"96-5=91"
] |
Current State: 91:[96, 95, 93, 74], Operations: []
Exploring Operation: 93-74=19, Resulting Numbers: [96, 95, 19]
Generated Node #2: [96, 95, 19] from Operation: 93-74=19
Current State: 91:[96, 95, 19], Operations: ['93-74=19']
Exploring Operation: 95/19=5, Resulting Numbers: [96, 5]
Generated Node #3: [96, 5] from Operation: 95/19=5
Current State: 91:[96, 5], Operations: ['93-74=19', '95/19=5']
Exploring Operation: 96-5=91, Resulting Numbers: [91]
91,91 equal: Goal Reached
| 4
|
[
23,
25,
15,
45
] | 62
|
[
"25-23=2",
"15+45=60",
"2+60=62"
] |
Current State: 62:[23, 25, 15, 45], Operations: []
Exploring Operation: 25-23=2, Resulting Numbers: [15, 45, 2]
Generated Node #2: [15, 45, 2] from Operation: 25-23=2
Current State: 62:[15, 45, 2], Operations: ['25-23=2']
Exploring Operation: 15+45=60, Resulting Numbers: [2, 60]
Generated Node #3: [2, 60] from Operation: 15+45=60
Current State: 62:[2, 60], Operations: ['25-23=2', '15+45=60']
Exploring Operation: 2+60=62, Resulting Numbers: [62]
62,62 equal: Goal Reached
| 4
|
[
23,
30,
17,
63
] | 87
|
[
"30-23=7",
"17+63=80",
"7+80=87"
] |
Current State: 87:[23, 30, 17, 63], Operations: []
Exploring Operation: 30-23=7, Resulting Numbers: [17, 63, 7]
Generated Node #2: [17, 63, 7] from Operation: 30-23=7
Current State: 87:[17, 63, 7], Operations: ['30-23=7']
Exploring Operation: 17+63=80, Resulting Numbers: [7, 80]
Generated Node #3: [7, 80] from Operation: 17+63=80
Current State: 87:[7, 80], Operations: ['30-23=7', '17+63=80']
Exploring Operation: 7+80=87, Resulting Numbers: [87]
87,87 equal: Goal Reached
| 4
|
[
71,
43,
57,
16
] | 13
|
[
"71-43=28",
"57-16=41",
"41-28=13"
] |
Current State: 13:[71, 43, 57, 16], Operations: []
Exploring Operation: 71-43=28, Resulting Numbers: [57, 16, 28]
Generated Node #2: [57, 16, 28] from Operation: 71-43=28
Current State: 13:[57, 16, 28], Operations: ['71-43=28']
Exploring Operation: 57-16=41, Resulting Numbers: [28, 41]
Generated Node #3: [28, 41] from Operation: 57-16=41
Current State: 13:[28, 41], Operations: ['71-43=28', '57-16=41']
Exploring Operation: 41-28=13, Resulting Numbers: [13]
13,13 equal: Goal Reached
| 4
|
[
68,
25,
72,
45
] | 70
|
[
"68-25=43",
"72-45=27",
"43+27=70"
] |
Current State: 70:[68, 25, 72, 45], Operations: []
Exploring Operation: 68-25=43, Resulting Numbers: [72, 45, 43]
Generated Node #2: [72, 45, 43] from Operation: 68-25=43
Current State: 70:[72, 45, 43], Operations: ['68-25=43']
Exploring Operation: 72-45=27, Resulting Numbers: [43, 27]
Generated Node #3: [43, 27] from Operation: 72-45=27
Current State: 70:[43, 27], Operations: ['68-25=43', '72-45=27']
Exploring Operation: 43+27=70, Resulting Numbers: [70]
70,70 equal: Goal Reached
| 4
|
[
38,
89,
34,
78
] | 61
|
[
"89-38=51",
"34+78=112",
"112-51=61"
] |
Current State: 61:[38, 89, 34, 78], Operations: []
Exploring Operation: 89-38=51, Resulting Numbers: [34, 78, 51]
Generated Node #2: [34, 78, 51] from Operation: 89-38=51
Current State: 61:[34, 78, 51], Operations: ['89-38=51']
Exploring Operation: 34+78=112, Resulting Numbers: [51, 112]
Generated Node #3: [51, 112] from Operation: 34+78=112
Current State: 61:[51, 112], Operations: ['89-38=51', '34+78=112']
Exploring Operation: 112-51=61, Resulting Numbers: [61]
61,61 equal: Goal Reached
| 4
|
[
48,
71,
64,
60
] | 27
|
[
"71-48=23",
"64-60=4",
"23+4=27"
] |
Current State: 27:[48, 71, 64, 60], Operations: []
Exploring Operation: 71-48=23, Resulting Numbers: [64, 60, 23]
Generated Node #2: [64, 60, 23] from Operation: 71-48=23
Current State: 27:[64, 60, 23], Operations: ['71-48=23']
Exploring Operation: 64-60=4, Resulting Numbers: [23, 4]
Generated Node #3: [23, 4] from Operation: 64-60=4
Current State: 27:[23, 4], Operations: ['71-48=23', '64-60=4']
Exploring Operation: 23+4=27, Resulting Numbers: [27]
27,27 equal: Goal Reached
| 4
|
[
91,
98,
92,
83
] | 29
|
[
"91+83=174",
"98-92=6",
"174/6=29"
] |
Current State: 29:[91, 98, 92, 83], Operations: []
Exploring Operation: 91+83=174, Resulting Numbers: [98, 92, 174]
Generated Node #2: [98, 92, 174] from Operation: 91+83=174
Current State: 29:[98, 92, 174], Operations: ['91+83=174']
Exploring Operation: 98-92=6, Resulting Numbers: [174, 6]
Generated Node #3: [174, 6] from Operation: 98-92=6
Current State: 29:[174, 6], Operations: ['91+83=174', '98-92=6']
Exploring Operation: 174/6=29, Resulting Numbers: [29]
29,29 equal: Goal Reached
| 4
|
[
56,
68,
70,
51
] | 79
|
[
"70-68=2",
"56/2=28",
"51+28=79"
] |
Current State: 79:[56, 68, 70, 51], Operations: []
Exploring Operation: 70-68=2, Resulting Numbers: [56, 51, 2]
Generated Node #2: [56, 51, 2] from Operation: 70-68=2
Current State: 79:[56, 51, 2], Operations: ['70-68=2']
Exploring Operation: 56/2=28, Resulting Numbers: [51, 28]
Generated Node #3: [51, 28] from Operation: 56/2=28
Current State: 79:[51, 28], Operations: ['70-68=2', '56/2=28']
Exploring Operation: 51+28=79, Resulting Numbers: [79]
79,79 equal: Goal Reached
| 4
|
[
15,
10,
73,
2
] | 39
|
[
"15-10=5",
"73+5=78",
"78/2=39"
] |
Current State: 39:[15, 10, 73, 2], Operations: []
Exploring Operation: 15-10=5, Resulting Numbers: [73, 2, 5]
Generated Node #2: [73, 2, 5] from Operation: 15-10=5
Current State: 39:[73, 2, 5], Operations: ['15-10=5']
Exploring Operation: 73+5=78, Resulting Numbers: [2, 78]
Generated Node #3: [2, 78] from Operation: 73+5=78
Current State: 39:[2, 78], Operations: ['15-10=5', '73+5=78']
Exploring Operation: 78/2=39, Resulting Numbers: [39]
39,39 equal: Goal Reached
| 4
|
[
72,
2,
20,
40
] | 71
|
[
"2*20=40",
"40/40=1",
"72-1=71"
] |
Current State: 71:[72, 2, 20, 40], Operations: []
Exploring Operation: 2*20=40, Resulting Numbers: [72, 40, 40]
Generated Node #2: [72, 40, 40] from Operation: 2*20=40
Current State: 71:[72, 40, 40], Operations: ['2*20=40']
Exploring Operation: 40/40=1, Resulting Numbers: [72, 1]
Generated Node #3: [72, 1] from Operation: 40/40=1
Current State: 71:[72, 1], Operations: ['2*20=40', '40/40=1']
Exploring Operation: 72-1=71, Resulting Numbers: [71]
71,71 equal: Goal Reached
| 4
|
[
50,
89,
42,
49
] | 100
|
[
"89-42=47",
"49-47=2",
"50*2=100"
] |
Current State: 100:[50, 89, 42, 49], Operations: []
Exploring Operation: 89-42=47, Resulting Numbers: [50, 49, 47]
Generated Node #2: [50, 49, 47] from Operation: 89-42=47
Current State: 100:[50, 49, 47], Operations: ['89-42=47']
Exploring Operation: 49-47=2, Resulting Numbers: [50, 2]
Generated Node #3: [50, 2] from Operation: 49-47=2
Current State: 100:[50, 2], Operations: ['89-42=47', '49-47=2']
Exploring Operation: 50*2=100, Resulting Numbers: [100]
100,100 equal: Goal Reached
| 4
|
[
71,
33,
71,
11
] | 44
|
[
"71+33=104",
"71-11=60",
"104-60=44"
] |
Current State: 44:[71, 33, 71, 11], Operations: []
Exploring Operation: 71+33=104, Resulting Numbers: [11, 104]
Generated Node #2: [11, 104] from Operation: 71+33=104
Current State: 44:[11, 104], Operations: ['71+33=104']
Exploring Operation: 71-11=60, Resulting Numbers: [104, 60]
Generated Node #3: [104, 60] from Operation: 71-11=60
Current State: 44:[104, 60], Operations: ['71+33=104', '71-11=60']
Exploring Operation: 104-60=44, Resulting Numbers: [44]
44,44 equal: Goal Reached
| 4
|
[
54,
42,
1,
48
] | 60
|
[
"54-42=12",
"1*48=48",
"12+48=60"
] |
Current State: 60:[54, 42, 1, 48], Operations: []
Exploring Operation: 54-42=12, Resulting Numbers: [1, 48, 12]
Generated Node #2: [1, 48, 12] from Operation: 54-42=12
Current State: 60:[1, 48, 12], Operations: ['54-42=12']
Exploring Operation: 1*48=48, Resulting Numbers: [12, 48]
Generated Node #3: [12, 48] from Operation: 1*48=48
Current State: 60:[12, 48], Operations: ['54-42=12', '1*48=48']
Exploring Operation: 12+48=60, Resulting Numbers: [60]
60,60 equal: Goal Reached
| 4
|
[
34,
52,
54,
41
] | 73
|
[
"34+52=86",
"54-41=13",
"86-13=73"
] |
Current State: 73:[34, 52, 54, 41], Operations: []
Exploring Operation: 34+52=86, Resulting Numbers: [54, 41, 86]
Generated Node #2: [54, 41, 86] from Operation: 34+52=86
Current State: 73:[54, 41, 86], Operations: ['34+52=86']
Exploring Operation: 54-41=13, Resulting Numbers: [86, 13]
Generated Node #3: [86, 13] from Operation: 54-41=13
Current State: 73:[86, 13], Operations: ['34+52=86', '54-41=13']
Exploring Operation: 86-13=73, Resulting Numbers: [73]
73,73 equal: Goal Reached
| 4
|
[
31,
62,
44,
19
] | 61
|
[
"62/31=2",
"44+19=63",
"63-2=61"
] |
Current State: 61:[31, 62, 44, 19], Operations: []
Exploring Operation: 62/31=2, Resulting Numbers: [44, 19, 2]
Generated Node #2: [44, 19, 2] from Operation: 62/31=2
Current State: 61:[44, 19, 2], Operations: ['62/31=2']
Exploring Operation: 44+19=63, Resulting Numbers: [2, 63]
Generated Node #3: [2, 63] from Operation: 44+19=63
Current State: 61:[2, 63], Operations: ['62/31=2', '44+19=63']
Exploring Operation: 63-2=61, Resulting Numbers: [61]
61,61 equal: Goal Reached
| 4
|
[
76,
54,
8,
51
] | 71
|
[
"76+54=130",
"8+51=59",
"130-59=71"
] |
Current State: 71:[76, 54, 8, 51], Operations: []
Exploring Operation: 76+54=130, Resulting Numbers: [8, 51, 130]
Generated Node #2: [8, 51, 130] from Operation: 76+54=130
Current State: 71:[8, 51, 130], Operations: ['76+54=130']
Exploring Operation: 8+51=59, Resulting Numbers: [130, 59]
Generated Node #3: [130, 59] from Operation: 8+51=59
Current State: 71:[130, 59], Operations: ['76+54=130', '8+51=59']
Exploring Operation: 130-59=71, Resulting Numbers: [71]
71,71 equal: Goal Reached
| 4
|
[
24,
8,
52,
10
] | 26
|
[
"24-8=16",
"52-10=42",
"42-16=26"
] |
Current State: 26:[24, 8, 52, 10], Operations: []
Exploring Operation: 24-8=16, Resulting Numbers: [52, 10, 16]
Generated Node #2: [52, 10, 16] from Operation: 24-8=16
Current State: 26:[52, 10, 16], Operations: ['24-8=16']
Exploring Operation: 52-10=42, Resulting Numbers: [16, 42]
Generated Node #3: [16, 42] from Operation: 52-10=42
Current State: 26:[16, 42], Operations: ['24-8=16', '52-10=42']
Exploring Operation: 42-16=26, Resulting Numbers: [26]
26,26 equal: Goal Reached
| 4
|
[
50,
2,
73,
9
] | 45
|
[
"50+9=59",
"2*59=118",
"118-73=45"
] |
Current State: 45:[50, 2, 73, 9], Operations: []
Exploring Operation: 50+9=59, Resulting Numbers: [2, 73, 59]
Generated Node #2: [2, 73, 59] from Operation: 50+9=59
Current State: 45:[2, 73, 59], Operations: ['50+9=59']
Exploring Operation: 2*59=118, Resulting Numbers: [73, 118]
Generated Node #3: [73, 118] from Operation: 2*59=118
Current State: 45:[73, 118], Operations: ['50+9=59', '2*59=118']
Exploring Operation: 118-73=45, Resulting Numbers: [45]
45,45 equal: Goal Reached
| 4
|
[
63,
60,
48,
75
] | 73
|
[
"63-60=3",
"75/3=25",
"48+25=73"
] |
Current State: 73:[63, 60, 48, 75], Operations: []
Exploring Operation: 63-60=3, Resulting Numbers: [48, 75, 3]
Generated Node #2: [48, 75, 3] from Operation: 63-60=3
Current State: 73:[48, 75, 3], Operations: ['63-60=3']
Exploring Operation: 75/3=25, Resulting Numbers: [48, 25]
Generated Node #3: [48, 25] from Operation: 75/3=25
Current State: 73:[48, 25], Operations: ['63-60=3', '75/3=25']
Exploring Operation: 48+25=73, Resulting Numbers: [73]
73,73 equal: Goal Reached
| 4
|
[
90,
40,
83,
52
] | 19
|
[
"90-40=50",
"83-52=31",
"50-31=19"
] |
Current State: 19:[90, 40, 83, 52], Operations: []
Exploring Operation: 90-40=50, Resulting Numbers: [83, 52, 50]
Generated Node #2: [83, 52, 50] from Operation: 90-40=50
Current State: 19:[83, 52, 50], Operations: ['90-40=50']
Exploring Operation: 83-52=31, Resulting Numbers: [50, 31]
Generated Node #3: [50, 31] from Operation: 83-52=31
Current State: 19:[50, 31], Operations: ['90-40=50', '83-52=31']
Exploring Operation: 50-31=19, Resulting Numbers: [19]
19,19 equal: Goal Reached
| 4
|
[
33,
13,
12,
30
] | 75
|
[
"33-30=3",
"13+12=25",
"3*25=75"
] |
Current State: 75:[33, 13, 12, 30], Operations: []
Exploring Operation: 33-30=3, Resulting Numbers: [13, 12, 3]
Generated Node #2: [13, 12, 3] from Operation: 33-30=3
Current State: 75:[13, 12, 3], Operations: ['33-30=3']
Exploring Operation: 13+12=25, Resulting Numbers: [3, 25]
Generated Node #3: [3, 25] from Operation: 13+12=25
Current State: 75:[3, 25], Operations: ['33-30=3', '13+12=25']
Exploring Operation: 3*25=75, Resulting Numbers: [75]
75,75 equal: Goal Reached
| 4
|
[
61,
45,
18,
64
] | 30
|
[
"61-45=16",
"64-18=46",
"46-16=30"
] |
Current State: 30:[61, 45, 18, 64], Operations: []
Exploring Operation: 61-45=16, Resulting Numbers: [18, 64, 16]
Generated Node #2: [18, 64, 16] from Operation: 61-45=16
Current State: 30:[18, 64, 16], Operations: ['61-45=16']
Exploring Operation: 64-18=46, Resulting Numbers: [16, 46]
Generated Node #3: [16, 46] from Operation: 64-18=46
Current State: 30:[16, 46], Operations: ['61-45=16', '64-18=46']
Exploring Operation: 46-16=30, Resulting Numbers: [30]
30,30 equal: Goal Reached
| 4
|
[
8,
45,
38,
56
] | 57
|
[
"45-8=37",
"38+56=94",
"94-37=57"
] |
Current State: 57:[8, 45, 38, 56], Operations: []
Exploring Operation: 45-8=37, Resulting Numbers: [38, 56, 37]
Generated Node #2: [38, 56, 37] from Operation: 45-8=37
Current State: 57:[38, 56, 37], Operations: ['45-8=37']
Exploring Operation: 38+56=94, Resulting Numbers: [37, 94]
Generated Node #3: [37, 94] from Operation: 38+56=94
Current State: 57:[37, 94], Operations: ['45-8=37', '38+56=94']
Exploring Operation: 94-37=57, Resulting Numbers: [57]
57,57 equal: Goal Reached
| 4
|
[
45,
35,
23,
24
] | 90
|
[
"45*24=1080",
"35-23=12",
"1080/12=90"
] |
Current State: 90:[45, 35, 23, 24], Operations: []
Exploring Operation: 45*24=1080, Resulting Numbers: [35, 23, 1080]
Generated Node #2: [35, 23, 1080] from Operation: 45*24=1080
Current State: 90:[35, 23, 1080], Operations: ['45*24=1080']
Exploring Operation: 35-23=12, Resulting Numbers: [1080, 12]
Generated Node #3: [1080, 12] from Operation: 35-23=12
Current State: 90:[1080, 12], Operations: ['45*24=1080', '35-23=12']
Exploring Operation: 1080/12=90, Resulting Numbers: [90]
90,90 equal: Goal Reached
| 4
|
[
80,
91,
1,
20
] | 88
|
[
"80/20=4",
"91+1=92",
"92-4=88"
] |
Current State: 88:[80, 91, 1, 20], Operations: []
Exploring Operation: 80/20=4, Resulting Numbers: [91, 1, 4]
Generated Node #2: [91, 1, 4] from Operation: 80/20=4
Current State: 88:[91, 1, 4], Operations: ['80/20=4']
Exploring Operation: 91+1=92, Resulting Numbers: [4, 92]
Generated Node #3: [4, 92] from Operation: 91+1=92
Current State: 88:[4, 92], Operations: ['80/20=4', '91+1=92']
Exploring Operation: 92-4=88, Resulting Numbers: [88]
88,88 equal: Goal Reached
| 4
|
[
36,
35,
94,
63
] | 86
|
[
"36+35=71",
"94+63=157",
"157-71=86"
] |
Current State: 86:[36, 35, 94, 63], Operations: []
Exploring Operation: 36+35=71, Resulting Numbers: [94, 63, 71]
Generated Node #2: [94, 63, 71] from Operation: 36+35=71
Current State: 86:[94, 63, 71], Operations: ['36+35=71']
Exploring Operation: 94+63=157, Resulting Numbers: [71, 157]
Generated Node #3: [71, 157] from Operation: 94+63=157
Current State: 86:[71, 157], Operations: ['36+35=71', '94+63=157']
Exploring Operation: 157-71=86, Resulting Numbers: [86]
86,86 equal: Goal Reached
| 4
|
[
41,
86,
56,
51
] | 62
|
[
"86-41=45",
"56+51=107",
"107-45=62"
] |
Current State: 62:[41, 86, 56, 51], Operations: []
Exploring Operation: 86-41=45, Resulting Numbers: [56, 51, 45]
Generated Node #2: [56, 51, 45] from Operation: 86-41=45
Current State: 62:[56, 51, 45], Operations: ['86-41=45']
Exploring Operation: 56+51=107, Resulting Numbers: [45, 107]
Generated Node #3: [45, 107] from Operation: 56+51=107
Current State: 62:[45, 107], Operations: ['86-41=45', '56+51=107']
Exploring Operation: 107-45=62, Resulting Numbers: [62]
62,62 equal: Goal Reached
| 4
|
[
29,
78,
12,
24
] | 13
|
[
"78-29=49",
"12+24=36",
"49-36=13"
] |
Current State: 13:[29, 78, 12, 24], Operations: []
Exploring Operation: 78-29=49, Resulting Numbers: [12, 24, 49]
Generated Node #2: [12, 24, 49] from Operation: 78-29=49
Current State: 13:[12, 24, 49], Operations: ['78-29=49']
Exploring Operation: 12+24=36, Resulting Numbers: [49, 36]
Generated Node #3: [49, 36] from Operation: 12+24=36
Current State: 13:[49, 36], Operations: ['78-29=49', '12+24=36']
Exploring Operation: 49-36=13, Resulting Numbers: [13]
13,13 equal: Goal Reached
| 4
|
[
13,
54,
44,
48
] | 25
|
[
"13+54=67",
"44+48=92",
"92-67=25"
] |
Current State: 25:[13, 54, 44, 48], Operations: []
Exploring Operation: 13+54=67, Resulting Numbers: [44, 48, 67]
Generated Node #2: [44, 48, 67] from Operation: 13+54=67
Current State: 25:[44, 48, 67], Operations: ['13+54=67']
Exploring Operation: 44+48=92, Resulting Numbers: [67, 92]
Generated Node #3: [67, 92] from Operation: 44+48=92
Current State: 25:[67, 92], Operations: ['13+54=67', '44+48=92']
Exploring Operation: 92-67=25, Resulting Numbers: [25]
25,25 equal: Goal Reached
| 4
|
[
75,
59,
65,
37
] | 86
|
[
"75-59=16",
"65+37=102",
"102-16=86"
] |
Current State: 86:[75, 59, 65, 37], Operations: []
Exploring Operation: 75-59=16, Resulting Numbers: [65, 37, 16]
Generated Node #2: [65, 37, 16] from Operation: 75-59=16
Current State: 86:[65, 37, 16], Operations: ['75-59=16']
Exploring Operation: 65+37=102, Resulting Numbers: [16, 102]
Generated Node #3: [16, 102] from Operation: 65+37=102
Current State: 86:[16, 102], Operations: ['75-59=16', '65+37=102']
Exploring Operation: 102-16=86, Resulting Numbers: [86]
86,86 equal: Goal Reached
| 4
|
[
74,
35,
11,
72
] | 71
|
[
"35-11=24",
"72/24=3",
"74-3=71"
] |
Current State: 71:[74, 35, 11, 72], Operations: []
Exploring Operation: 35-11=24, Resulting Numbers: [74, 72, 24]
Generated Node #2: [74, 72, 24] from Operation: 35-11=24
Current State: 71:[74, 72, 24], Operations: ['35-11=24']
Exploring Operation: 72/24=3, Resulting Numbers: [74, 3]
Generated Node #3: [74, 3] from Operation: 72/24=3
Current State: 71:[74, 3], Operations: ['35-11=24', '72/24=3']
Exploring Operation: 74-3=71, Resulting Numbers: [71]
71,71 equal: Goal Reached
| 4
|
[
19,
98,
92,
80
] | 55
|
[
"19+98=117",
"92+80=172",
"172-117=55"
] |
Current State: 55:[19, 98, 92, 80], Operations: []
Exploring Operation: 19+98=117, Resulting Numbers: [92, 80, 117]
Generated Node #2: [92, 80, 117] from Operation: 19+98=117
Current State: 55:[92, 80, 117], Operations: ['19+98=117']
Exploring Operation: 92+80=172, Resulting Numbers: [117, 172]
Generated Node #3: [117, 172] from Operation: 92+80=172
Current State: 55:[117, 172], Operations: ['19+98=117', '92+80=172']
Exploring Operation: 172-117=55, Resulting Numbers: [55]
55,55 equal: Goal Reached
| 4
|
[
60,
66,
18,
68
] | 65
|
[
"66-60=6",
"18/6=3",
"68-3=65"
] |
Current State: 65:[60, 66, 18, 68], Operations: []
Exploring Operation: 66-60=6, Resulting Numbers: [18, 68, 6]
Generated Node #2: [18, 68, 6] from Operation: 66-60=6
Current State: 65:[18, 68, 6], Operations: ['66-60=6']
Exploring Operation: 18/6=3, Resulting Numbers: [68, 3]
Generated Node #3: [68, 3] from Operation: 18/6=3
Current State: 65:[68, 3], Operations: ['66-60=6', '18/6=3']
Exploring Operation: 68-3=65, Resulting Numbers: [65]
65,65 equal: Goal Reached
| 4
|
[
36,
11,
32,
20
] | 14
|
[
"32-20=12",
"36/12=3",
"11+3=14"
] |
Current State: 14:[36, 11, 32, 20], Operations: []
Exploring Operation: 32-20=12, Resulting Numbers: [36, 11, 12]
Generated Node #2: [36, 11, 12] from Operation: 32-20=12
Current State: 14:[36, 11, 12], Operations: ['32-20=12']
Exploring Operation: 36/12=3, Resulting Numbers: [11, 3]
Generated Node #3: [11, 3] from Operation: 36/12=3
Current State: 14:[11, 3], Operations: ['32-20=12', '36/12=3']
Exploring Operation: 11+3=14, Resulting Numbers: [14]
14,14 equal: Goal Reached
| 4
|
[
51,
80,
51,
28
] | 80
|
[
"51-51=0",
"28*0=0",
"80+0=80"
] |
Current State: 80:[51, 80, 51, 28], Operations: []
Exploring Operation: 51-51=0, Resulting Numbers: [80, 28, 0]
Generated Node #2: [80, 28, 0] from Operation: 51-51=0
Current State: 80:[80, 28, 0], Operations: ['51-51=0']
Exploring Operation: 28*0=0, Resulting Numbers: [80, 0]
Generated Node #3: [80, 0] from Operation: 28*0=0
Current State: 80:[80, 0], Operations: ['51-51=0', '28*0=0']
Exploring Operation: 80+0=80, Resulting Numbers: [80]
80,80 equal: Goal Reached
| 4
|
[
3,
53,
62,
8
] | 47
|
[
"53-8=45",
"45/3=15",
"62-15=47"
] |
Current State: 47:[3, 53, 62, 8], Operations: []
Exploring Operation: 53-8=45, Resulting Numbers: [3, 62, 45]
Generated Node #2: [3, 62, 45] from Operation: 53-8=45
Current State: 47:[3, 62, 45], Operations: ['53-8=45']
Exploring Operation: 45/3=15, Resulting Numbers: [62, 15]
Generated Node #3: [62, 15] from Operation: 45/3=15
Current State: 47:[62, 15], Operations: ['53-8=45', '45/3=15']
Exploring Operation: 62-15=47, Resulting Numbers: [47]
47,47 equal: Goal Reached
| 4
|
[
2,
18,
28,
89
] | 84
|
[
"28-18=10",
"10/2=5",
"89-5=84"
] |
Current State: 84:[2, 18, 28, 89], Operations: []
Exploring Operation: 28-18=10, Resulting Numbers: [2, 89, 10]
Generated Node #2: [2, 89, 10] from Operation: 28-18=10
Current State: 84:[2, 89, 10], Operations: ['28-18=10']
Exploring Operation: 10/2=5, Resulting Numbers: [89, 5]
Generated Node #3: [89, 5] from Operation: 10/2=5
Current State: 84:[89, 5], Operations: ['28-18=10', '10/2=5']
Exploring Operation: 89-5=84, Resulting Numbers: [84]
84,84 equal: Goal Reached
| 4
|
[
9,
62,
33,
39
] | 81
|
[
"33*39=1287",
"1287/9=143",
"143-62=81"
] |
Current State: 81:[9, 62, 33, 39], Operations: []
Exploring Operation: 33*39=1287, Resulting Numbers: [9, 62, 1287]
Generated Node #2: [9, 62, 1287] from Operation: 33*39=1287
Current State: 81:[9, 62, 1287], Operations: ['33*39=1287']
Exploring Operation: 1287/9=143, Resulting Numbers: [62, 143]
Generated Node #3: [62, 143] from Operation: 1287/9=143
Current State: 81:[62, 143], Operations: ['33*39=1287', '1287/9=143']
Exploring Operation: 143-62=81, Resulting Numbers: [81]
81,81 equal: Goal Reached
| 4
|
[
86,
87,
11,
96
] | 86
|
[
"87-86=1",
"96-11=85",
"1+85=86"
] |
Current State: 86:[86, 87, 11, 96], Operations: []
Exploring Operation: 87-86=1, Resulting Numbers: [11, 96, 1]
Generated Node #2: [11, 96, 1] from Operation: 87-86=1
Current State: 86:[11, 96, 1], Operations: ['87-86=1']
Exploring Operation: 96-11=85, Resulting Numbers: [1, 85]
Generated Node #3: [1, 85] from Operation: 96-11=85
Current State: 86:[1, 85], Operations: ['87-86=1', '96-11=85']
Exploring Operation: 1+85=86, Resulting Numbers: [86]
86,86 equal: Goal Reached
| 4
|
[
45,
71,
11,
2
] | 69
|
[
"45+71=116",
"116/2=58",
"11+58=69"
] |
Current State: 69:[45, 71, 11, 2], Operations: []
Exploring Operation: 45+71=116, Resulting Numbers: [11, 2, 116]
Generated Node #2: [11, 2, 116] from Operation: 45+71=116
Current State: 69:[11, 2, 116], Operations: ['45+71=116']
Exploring Operation: 116/2=58, Resulting Numbers: [11, 58]
Generated Node #3: [11, 58] from Operation: 116/2=58
Current State: 69:[11, 58], Operations: ['45+71=116', '116/2=58']
Exploring Operation: 11+58=69, Resulting Numbers: [69]
69,69 equal: Goal Reached
| 4
|
[
59,
76,
31,
38
] | 56
|
[
"59-31=28",
"76/38=2",
"28*2=56"
] |
Current State: 56:[59, 76, 31, 38], Operations: []
Exploring Operation: 59-31=28, Resulting Numbers: [76, 38, 28]
Generated Node #2: [76, 38, 28] from Operation: 59-31=28
Current State: 56:[76, 38, 28], Operations: ['59-31=28']
Exploring Operation: 76/38=2, Resulting Numbers: [28, 2]
Generated Node #3: [28, 2] from Operation: 76/38=2
Current State: 56:[28, 2], Operations: ['59-31=28', '76/38=2']
Exploring Operation: 28*2=56, Resulting Numbers: [56]
56,56 equal: Goal Reached
| 4
|
[
41,
56,
2,
80
] | 15
|
[
"41+56=97",
"2+80=82",
"97-82=15"
] |
Current State: 15:[41, 56, 2, 80], Operations: []
Exploring Operation: 41+56=97, Resulting Numbers: [2, 80, 97]
Generated Node #2: [2, 80, 97] from Operation: 41+56=97
Current State: 15:[2, 80, 97], Operations: ['41+56=97']
Exploring Operation: 2+80=82, Resulting Numbers: [97, 82]
Generated Node #3: [97, 82] from Operation: 2+80=82
Current State: 15:[97, 82], Operations: ['41+56=97', '2+80=82']
Exploring Operation: 97-82=15, Resulting Numbers: [15]
15,15 equal: Goal Reached
| 4
|
[
14,
41,
69,
41
] | 14
|
[
"41-41=0",
"69*0=0",
"14+0=14"
] |
Current State: 14:[14, 41, 69, 41], Operations: []
Exploring Operation: 41-41=0, Resulting Numbers: [14, 69, 0]
Generated Node #2: [14, 69, 0] from Operation: 41-41=0
Current State: 14:[14, 69, 0], Operations: ['41-41=0']
Exploring Operation: 69*0=0, Resulting Numbers: [14, 0]
Generated Node #3: [14, 0] from Operation: 69*0=0
Current State: 14:[14, 0], Operations: ['41-41=0', '69*0=0']
Exploring Operation: 14+0=14, Resulting Numbers: [14]
14,14 equal: Goal Reached
| 4
|
[
94,
68,
31,
64
] | 69
|
[
"94-68=26",
"31+64=95",
"95-26=69"
] |
Current State: 69:[94, 68, 31, 64], Operations: []
Exploring Operation: 94-68=26, Resulting Numbers: [31, 64, 26]
Generated Node #2: [31, 64, 26] from Operation: 94-68=26
Current State: 69:[31, 64, 26], Operations: ['94-68=26']
Exploring Operation: 31+64=95, Resulting Numbers: [26, 95]
Generated Node #3: [26, 95] from Operation: 31+64=95
Current State: 69:[26, 95], Operations: ['94-68=26', '31+64=95']
Exploring Operation: 95-26=69, Resulting Numbers: [69]
69,69 equal: Goal Reached
| 4
|
[
49,
96,
78,
47
] | 16
|
[
"96-49=47",
"78-47=31",
"47-31=16"
] |
Current State: 16:[49, 96, 78, 47], Operations: []
Exploring Operation: 96-49=47, Resulting Numbers: [78, 47, 47]
Generated Node #2: [78, 47, 47] from Operation: 96-49=47
Current State: 16:[78, 47, 47], Operations: ['96-49=47']
Exploring Operation: 78-47=31, Resulting Numbers: [31]
31,16 equal: Goal Reached
Exploring Operation: 47-31=16, Resulting Numbers: [16]
16,16 equal: Goal Reached
| 4
|
[
84,
49,
13,
61
] | 91
|
[
"84*13=1092",
"61-49=12",
"1092/12=91"
] |
Current State: 91:[84, 49, 13, 61], Operations: []
Exploring Operation: 84*13=1092, Resulting Numbers: [49, 61, 1092]
Generated Node #2: [49, 61, 1092] from Operation: 84*13=1092
Current State: 91:[49, 61, 1092], Operations: ['84*13=1092']
Exploring Operation: 61-49=12, Resulting Numbers: [1092, 12]
Generated Node #3: [1092, 12] from Operation: 61-49=12
Current State: 91:[1092, 12], Operations: ['84*13=1092', '61-49=12']
Exploring Operation: 1092/12=91, Resulting Numbers: [91]
91,91 equal: Goal Reached
| 4
|
[
11,
34,
49,
64
] | 22
|
[
"34+64=98",
"11*98=1078",
"1078/49=22"
] |
Current State: 22:[11, 34, 49, 64], Operations: []
Exploring Operation: 34+64=98, Resulting Numbers: [11, 49, 98]
Generated Node #2: [11, 49, 98] from Operation: 34+64=98
Current State: 22:[11, 49, 98], Operations: ['34+64=98']
Exploring Operation: 11*98=1078, Resulting Numbers: [49, 1078]
Generated Node #3: [49, 1078] from Operation: 11*98=1078
Current State: 22:[49, 1078], Operations: ['34+64=98', '11*98=1078']
Exploring Operation: 1078/49=22, Resulting Numbers: [22]
22,22 equal: Goal Reached
| 4
|
[
2,
1,
11,
95
] | 59
|
[
"1+95=96",
"96/2=48",
"11+48=59"
] |
Current State: 59:[2, 1, 11, 95], Operations: []
Exploring Operation: 1+95=96, Resulting Numbers: [2, 11, 96]
Generated Node #2: [2, 11, 96] from Operation: 1+95=96
Current State: 59:[2, 11, 96], Operations: ['1+95=96']
Exploring Operation: 96/2=48, Resulting Numbers: [11, 48]
Generated Node #3: [11, 48] from Operation: 96/2=48
Current State: 59:[11, 48], Operations: ['1+95=96', '96/2=48']
Exploring Operation: 11+48=59, Resulting Numbers: [59]
59,59 equal: Goal Reached
| 4
|
[
96,
98,
99,
21
] | 39
|
[
"98-96=2",
"99-21=78",
"78/2=39"
] |
Current State: 39:[96, 98, 99, 21], Operations: []
Exploring Operation: 98-96=2, Resulting Numbers: [99, 21, 2]
Generated Node #2: [99, 21, 2] from Operation: 98-96=2
Current State: 39:[99, 21, 2], Operations: ['98-96=2']
Exploring Operation: 99-21=78, Resulting Numbers: [2, 78]
Generated Node #3: [2, 78] from Operation: 99-21=78
Current State: 39:[2, 78], Operations: ['98-96=2', '99-21=78']
Exploring Operation: 78/2=39, Resulting Numbers: [39]
39,39 equal: Goal Reached
| 4
|
[
67,
18,
68,
81
] | 100
|
[
"67-18=49",
"68+81=149",
"149-49=100"
] |
Current State: 100:[67, 18, 68, 81], Operations: []
Exploring Operation: 67-18=49, Resulting Numbers: [68, 81, 49]
Generated Node #2: [68, 81, 49] from Operation: 67-18=49
Current State: 100:[68, 81, 49], Operations: ['67-18=49']
Exploring Operation: 68+81=149, Resulting Numbers: [49, 149]
Generated Node #3: [49, 149] from Operation: 68+81=149
Current State: 100:[49, 149], Operations: ['67-18=49', '68+81=149']
Exploring Operation: 149-49=100, Resulting Numbers: [100]
100,100 equal: Goal Reached
| 4
|
[
60,
13,
12,
22
] | 13
|
[
"60-13=47",
"12+22=34",
"47-34=13"
] |
Current State: 13:[60, 13, 12, 22], Operations: []
Exploring Operation: 60-13=47, Resulting Numbers: [12, 22, 47]
Generated Node #2: [12, 22, 47] from Operation: 60-13=47
Current State: 13:[12, 22, 47], Operations: ['60-13=47']
Exploring Operation: 12+22=34, Resulting Numbers: [47, 34]
Generated Node #3: [47, 34] from Operation: 12+22=34
Current State: 13:[47, 34], Operations: ['60-13=47', '12+22=34']
Exploring Operation: 47-34=13, Resulting Numbers: [13]
13,13 equal: Goal Reached
| 4
|
[
40,
38,
38,
11
] | 60
|
[
"40-38=2",
"11*2=22",
"38+22=60"
] |
Current State: 60:[40, 38, 38, 11], Operations: []
Exploring Operation: 40-38=2, Resulting Numbers: [11, 2]
Generated Node #2: [11, 2] from Operation: 40-38=2
Current State: 60:[11, 2], Operations: ['40-38=2']
Exploring Operation: 11*2=22, Resulting Numbers: [22]
22,60 equal: Goal Reached
Exploring Operation: 38+22=60, Resulting Numbers: [60]
60,60 equal: Goal Reached
| 4
|
[
30,
74,
3,
81
] | 37
|
[
"30+81=111",
"111/3=37",
"74-37=37"
] |
Current State: 37:[30, 74, 3, 81], Operations: []
Exploring Operation: 30+81=111, Resulting Numbers: [74, 3, 111]
Generated Node #2: [74, 3, 111] from Operation: 30+81=111
Current State: 37:[74, 3, 111], Operations: ['30+81=111']
Exploring Operation: 111/3=37, Resulting Numbers: [74, 37]
Generated Node #3: [74, 37] from Operation: 111/3=37
Current State: 37:[74, 37], Operations: ['30+81=111', '111/3=37']
Exploring Operation: 74-37=37, Resulting Numbers: [37]
37,37 equal: Goal Reached
| 4
|
[
61,
7,
36,
99
] | 70
|
[
"99-36=63",
"63/7=9",
"61+9=70"
] |
Current State: 70:[61, 7, 36, 99], Operations: []
Exploring Operation: 99-36=63, Resulting Numbers: [61, 7, 63]
Generated Node #2: [61, 7, 63] from Operation: 99-36=63
Current State: 70:[61, 7, 63], Operations: ['99-36=63']
Exploring Operation: 63/7=9, Resulting Numbers: [61, 9]
Generated Node #3: [61, 9] from Operation: 63/7=9
Current State: 70:[61, 9], Operations: ['99-36=63', '63/7=9']
Exploring Operation: 61+9=70, Resulting Numbers: [70]
70,70 equal: Goal Reached
| 4
|
[
34,
21,
13,
76
] | 75
|
[
"34-21=13",
"13/13=1",
"76-1=75"
] |
Current State: 75:[34, 21, 13, 76], Operations: []
Exploring Operation: 34-21=13, Resulting Numbers: [13, 76, 13]
Generated Node #2: [13, 76, 13] from Operation: 34-21=13
Current State: 75:[13, 76, 13], Operations: ['34-21=13']
Exploring Operation: 13/13=1, Resulting Numbers: [76, 1]
Generated Node #3: [76, 1] from Operation: 13/13=1
Current State: 75:[76, 1], Operations: ['34-21=13', '13/13=1']
Exploring Operation: 76-1=75, Resulting Numbers: [75]
75,75 equal: Goal Reached
| 4
|
[
29,
87,
44,
79
] | 32
|
[
"87/29=3",
"79-44=35",
"35-3=32"
] |
Current State: 32:[29, 87, 44, 79], Operations: []
Exploring Operation: 87/29=3, Resulting Numbers: [44, 79, 3]
Generated Node #2: [44, 79, 3] from Operation: 87/29=3
Current State: 32:[44, 79, 3], Operations: ['87/29=3']
Exploring Operation: 79-44=35, Resulting Numbers: [3, 35]
Generated Node #3: [3, 35] from Operation: 79-44=35
Current State: 32:[3, 35], Operations: ['87/29=3', '79-44=35']
Exploring Operation: 35-3=32, Resulting Numbers: [32]
32,32 equal: Goal Reached
| 4
|
[
85,
22,
2,
5
] | 60
|
[
"85-22=63",
"5-2=3",
"63-3=60"
] |
Current State: 60:[85, 22, 2, 5], Operations: []
Exploring Operation: 85-22=63, Resulting Numbers: [2, 5, 63]
Generated Node #2: [2, 5, 63] from Operation: 85-22=63
Current State: 60:[2, 5, 63], Operations: ['85-22=63']
Exploring Operation: 5-2=3, Resulting Numbers: [63, 3]
Generated Node #3: [63, 3] from Operation: 5-2=3
Current State: 60:[63, 3], Operations: ['85-22=63', '5-2=3']
Exploring Operation: 63-3=60, Resulting Numbers: [60]
60,60 equal: Goal Reached
| 4
|
[
27,
45,
48,
56
] | 80
|
[
"27+45=72",
"56-48=8",
"72+8=80"
] |
Current State: 80:[27, 45, 48, 56], Operations: []
Exploring Operation: 27+45=72, Resulting Numbers: [48, 56, 72]
Generated Node #2: [48, 56, 72] from Operation: 27+45=72
Current State: 80:[48, 56, 72], Operations: ['27+45=72']
Exploring Operation: 56-48=8, Resulting Numbers: [72, 8]
Generated Node #3: [72, 8] from Operation: 56-48=8
Current State: 80:[72, 8], Operations: ['27+45=72', '56-48=8']
Exploring Operation: 72+8=80, Resulting Numbers: [80]
80,80 equal: Goal Reached
| 4
|
[
43,
21,
87,
27
] | 92
|
[
"43-21=22",
"87+27=114",
"114-22=92"
] |
Current State: 92:[43, 21, 87, 27], Operations: []
Exploring Operation: 43-21=22, Resulting Numbers: [87, 27, 22]
Generated Node #2: [87, 27, 22] from Operation: 43-21=22
Current State: 92:[87, 27, 22], Operations: ['43-21=22']
Exploring Operation: 87+27=114, Resulting Numbers: [22, 114]
Generated Node #3: [22, 114] from Operation: 87+27=114
Current State: 92:[22, 114], Operations: ['43-21=22', '87+27=114']
Exploring Operation: 114-22=92, Resulting Numbers: [92]
92,92 equal: Goal Reached
| 4
|
[
20,
94,
99,
38
] | 96
|
[
"20+94=114",
"114/38=3",
"99-3=96"
] |
Current State: 96:[20, 94, 99, 38], Operations: []
Exploring Operation: 20+94=114, Resulting Numbers: [99, 38, 114]
Generated Node #2: [99, 38, 114] from Operation: 20+94=114
Current State: 96:[99, 38, 114], Operations: ['20+94=114']
Exploring Operation: 114/38=3, Resulting Numbers: [99, 3]
Generated Node #3: [99, 3] from Operation: 114/38=3
Current State: 96:[99, 3], Operations: ['20+94=114', '114/38=3']
Exploring Operation: 99-3=96, Resulting Numbers: [96]
96,96 equal: Goal Reached
| 4
|
[
21,
53,
4,
43
] | 94
|
[
"21*4=84",
"53-43=10",
"84+10=94"
] |
Current State: 94:[21, 53, 4, 43], Operations: []
Exploring Operation: 21*4=84, Resulting Numbers: [53, 43, 84]
Generated Node #2: [53, 43, 84] from Operation: 21*4=84
Current State: 94:[53, 43, 84], Operations: ['21*4=84']
Exploring Operation: 53-43=10, Resulting Numbers: [84, 10]
Generated Node #3: [84, 10] from Operation: 53-43=10
Current State: 94:[84, 10], Operations: ['21*4=84', '53-43=10']
Exploring Operation: 84+10=94, Resulting Numbers: [94]
94,94 equal: Goal Reached
| 4
|
[
94,
14,
6,
8
] | 38
|
[
"14+8=22",
"6*22=132",
"132-94=38"
] |
Current State: 38:[94, 14, 6, 8], Operations: []
Exploring Operation: 14+8=22, Resulting Numbers: [94, 6, 22]
Generated Node #2: [94, 6, 22] from Operation: 14+8=22
Current State: 38:[94, 6, 22], Operations: ['14+8=22']
Exploring Operation: 6*22=132, Resulting Numbers: [94, 132]
Generated Node #3: [94, 132] from Operation: 6*22=132
Current State: 38:[94, 132], Operations: ['14+8=22', '6*22=132']
Exploring Operation: 132-94=38, Resulting Numbers: [38]
38,38 equal: Goal Reached
| 4
|
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