nums listlengths 4 4 | target int64 10 100 | solution listlengths 3 3 | optimal_path stringlengths 282 529 | start_size int64 4 4 |
|---|---|---|---|---|
[
65,
91,
72,
35
] | 86 | [
"72-65=7",
"35/7=5",
"91-5=86"
] | Current State: 86:[65, 91, 72, 35], Operations: []
Exploring Operation: 72-65=7, Resulting Numbers: [91, 35, 7]
Generated Node #2: [91, 35, 7] from Operation: 72-65=7
Current State: 86:[91, 35, 7], Operations: ['72-65=7']
Exploring Operation: 35/7=5, Resulting Numbers: [91, 5]
Generated Node #3: [91, 5] from Operation: 35/7=5
Current State: 86:[91, 5], Operations: ['72-65=7', '35/7=5']
Exploring Operation: 91-5=86, Resulting Numbers: [86]
86,86 equal: Goal Reached
| 4 |
[
99,
38,
91,
90
] | 60 | [
"99-38=61",
"91-90=1",
"61-1=60"
] | Current State: 60:[99, 38, 91, 90], Operations: []
Exploring Operation: 99-38=61, Resulting Numbers: [91, 90, 61]
Generated Node #2: [91, 90, 61] from Operation: 99-38=61
Current State: 60:[91, 90, 61], Operations: ['99-38=61']
Exploring Operation: 91-90=1, Resulting Numbers: [61, 1]
Generated Node #3: [61, 1] from Operation: 91-90=1
Current State: 60:[61, 1], Operations: ['99-38=61', '91-90=1']
Exploring Operation: 61-1=60, Resulting Numbers: [60]
60,60 equal: Goal Reached
| 4 |
[
39,
21,
49,
13
] | 25 | [
"39/13=3",
"49-21=28",
"28-3=25"
] | Current State: 25:[39, 21, 49, 13], Operations: []
Exploring Operation: 39/13=3, Resulting Numbers: [21, 49, 3]
Generated Node #2: [21, 49, 3] from Operation: 39/13=3
Current State: 25:[21, 49, 3], Operations: ['39/13=3']
Exploring Operation: 49-21=28, Resulting Numbers: [3, 28]
Generated Node #3: [3, 28] from Operation: 49-21=28
Current State: 25:[3, 28], Operations: ['39/13=3', '49-21=28']
Exploring Operation: 28-3=25, Resulting Numbers: [25]
25,25 equal: Goal Reached
| 4 |
[
29,
80,
16,
49
] | 64 | [
"49-29=20",
"80*16=1280",
"1280/20=64"
] | Current State: 64:[29, 80, 16, 49], Operations: []
Exploring Operation: 49-29=20, Resulting Numbers: [80, 16, 20]
Generated Node #2: [80, 16, 20] from Operation: 49-29=20
Current State: 64:[80, 16, 20], Operations: ['49-29=20']
Exploring Operation: 80*16=1280, Resulting Numbers: [20, 1280]
Generated Node #3: [20, 1280] from Operation: 80*16=1280
Current State: 64:[20, 1280], Operations: ['49-29=20', '80*16=1280']
Exploring Operation: 1280/20=64, Resulting Numbers: [64]
64,64 equal: Goal Reached
| 4 |
[
9,
24,
57,
6
] | 21 | [
"9*24=216",
"216/6=36",
"57-36=21"
] | Current State: 21:[9, 24, 57, 6], Operations: []
Exploring Operation: 9*24=216, Resulting Numbers: [57, 6, 216]
Generated Node #2: [57, 6, 216] from Operation: 9*24=216
Current State: 21:[57, 6, 216], Operations: ['9*24=216']
Exploring Operation: 216/6=36, Resulting Numbers: [57, 36]
Generated Node #3: [57, 36] from Operation: 216/6=36
Current State: 21:[57, 36], Operations: ['9*24=216', '216/6=36']
Exploring Operation: 57-36=21, Resulting Numbers: [21]
21,21 equal: Goal Reached
| 4 |
[
38,
76,
9,
43
] | 25 | [
"76/38=2",
"9*2=18",
"43-18=25"
] | Current State: 25:[38, 76, 9, 43], Operations: []
Exploring Operation: 76/38=2, Resulting Numbers: [9, 43, 2]
Generated Node #2: [9, 43, 2] from Operation: 76/38=2
Current State: 25:[9, 43, 2], Operations: ['76/38=2']
Exploring Operation: 9*2=18, Resulting Numbers: [43, 18]
Generated Node #3: [43, 18] from Operation: 9*2=18
Current State: 25:[43, 18], Operations: ['76/38=2', '9*2=18']
Exploring Operation: 43-18=25, Resulting Numbers: [25]
25,25 equal: Goal Reached
| 4 |
[
22,
84,
6,
75
] | 83 | [
"22+75=97",
"84/6=14",
"97-14=83"
] | Current State: 83:[22, 84, 6, 75], Operations: []
Exploring Operation: 22+75=97, Resulting Numbers: [84, 6, 97]
Generated Node #2: [84, 6, 97] from Operation: 22+75=97
Current State: 83:[84, 6, 97], Operations: ['22+75=97']
Exploring Operation: 84/6=14, Resulting Numbers: [97, 14]
Generated Node #3: [97, 14] from Operation: 84/6=14
Current State: 83:[97, 14], Operations: ['22+75=97', '84/6=14']
Exploring Operation: 97-14=83, Resulting Numbers: [83]
83,83 equal: Goal Reached
| 4 |
[
96,
66,
93,
90
] | 52 | [
"96-93=3",
"66+90=156",
"156/3=52"
] | Current State: 52:[96, 66, 93, 90], Operations: []
Exploring Operation: 96-93=3, Resulting Numbers: [66, 90, 3]
Generated Node #2: [66, 90, 3] from Operation: 96-93=3
Current State: 52:[66, 90, 3], Operations: ['96-93=3']
Exploring Operation: 66+90=156, Resulting Numbers: [3, 156]
Generated Node #3: [3, 156] from Operation: 66+90=156
Current State: 52:[3, 156], Operations: ['96-93=3', '66+90=156']
Exploring Operation: 156/3=52, Resulting Numbers: [52]
52,52 equal: Goal Reached
| 4 |
[
80,
95,
62,
18
] | 94 | [
"80-62=18",
"18/18=1",
"95-1=94"
] | Current State: 94:[80, 95, 62, 18], Operations: []
Exploring Operation: 80-62=18, Resulting Numbers: [95, 18, 18]
Generated Node #2: [95, 18, 18] from Operation: 80-62=18
Current State: 94:[95, 18, 18], Operations: ['80-62=18']
Exploring Operation: 18/18=1, Resulting Numbers: [95, 1]
Generated Node #3: [95, 1] from Operation: 18/18=1
Current State: 94:[95, 1], Operations: ['80-62=18', '18/18=1']
Exploring Operation: 95-1=94, Resulting Numbers: [94]
94,94 equal: Goal Reached
| 4 |
[
30,
23,
37,
64
] | 94 | [
"30-23=7",
"37+64=101",
"101-7=94"
] | Current State: 94:[30, 23, 37, 64], Operations: []
Exploring Operation: 30-23=7, Resulting Numbers: [37, 64, 7]
Generated Node #2: [37, 64, 7] from Operation: 30-23=7
Current State: 94:[37, 64, 7], Operations: ['30-23=7']
Exploring Operation: 37+64=101, Resulting Numbers: [7, 101]
Generated Node #3: [7, 101] from Operation: 37+64=101
Current State: 94:[7, 101], Operations: ['30-23=7', '37+64=101']
Exploring Operation: 101-7=94, Resulting Numbers: [94]
94,94 equal: Goal Reached
| 4 |
[
7,
23,
69,
95
] | 56 | [
"7+23=30",
"95-69=26",
"30+26=56"
] | Current State: 56:[7, 23, 69, 95], Operations: []
Exploring Operation: 7+23=30, Resulting Numbers: [69, 95, 30]
Generated Node #2: [69, 95, 30] from Operation: 7+23=30
Current State: 56:[69, 95, 30], Operations: ['7+23=30']
Exploring Operation: 95-69=26, Resulting Numbers: [30, 26]
Generated Node #3: [30, 26] from Operation: 95-69=26
Current State: 56:[30, 26], Operations: ['7+23=30', '95-69=26']
Exploring Operation: 30+26=56, Resulting Numbers: [56]
56,56 equal: Goal Reached
| 4 |
[
48,
16,
3,
17
] | 59 | [
"16+17=33",
"33/3=11",
"48+11=59"
] | Current State: 59:[48, 16, 3, 17], Operations: []
Exploring Operation: 16+17=33, Resulting Numbers: [48, 3, 33]
Generated Node #2: [48, 3, 33] from Operation: 16+17=33
Current State: 59:[48, 3, 33], Operations: ['16+17=33']
Exploring Operation: 33/3=11, Resulting Numbers: [48, 11]
Generated Node #3: [48, 11] from Operation: 33/3=11
Current State: 59:[48, 11], Operations: ['16+17=33', '33/3=11']
Exploring Operation: 48+11=59, Resulting Numbers: [59]
59,59 equal: Goal Reached
| 4 |
[
67,
38,
3,
78
] | 79 | [
"67+38=105",
"78/3=26",
"105-26=79"
] | Current State: 79:[67, 38, 3, 78], Operations: []
Exploring Operation: 67+38=105, Resulting Numbers: [3, 78, 105]
Generated Node #2: [3, 78, 105] from Operation: 67+38=105
Current State: 79:[3, 78, 105], Operations: ['67+38=105']
Exploring Operation: 78/3=26, Resulting Numbers: [105, 26]
Generated Node #3: [105, 26] from Operation: 78/3=26
Current State: 79:[105, 26], Operations: ['67+38=105', '78/3=26']
Exploring Operation: 105-26=79, Resulting Numbers: [79]
79,79 equal: Goal Reached
| 4 |
[
8,
47,
20,
4
] | 87 | [
"8*20=160",
"160/4=40",
"47+40=87"
] | Current State: 87:[8, 47, 20, 4], Operations: []
Exploring Operation: 8*20=160, Resulting Numbers: [47, 4, 160]
Generated Node #2: [47, 4, 160] from Operation: 8*20=160
Current State: 87:[47, 4, 160], Operations: ['8*20=160']
Exploring Operation: 160/4=40, Resulting Numbers: [47, 40]
Generated Node #3: [47, 40] from Operation: 160/4=40
Current State: 87:[47, 40], Operations: ['8*20=160', '160/4=40']
Exploring Operation: 47+40=87, Resulting Numbers: [87]
87,87 equal: Goal Reached
| 4 |
[
20,
14,
88,
96
] | 96 | [
"20*14=280",
"88+96=184",
"280-184=96"
] | Current State: 96:[20, 14, 88, 96], Operations: []
Exploring Operation: 20*14=280, Resulting Numbers: [88, 96, 280]
Generated Node #2: [88, 96, 280] from Operation: 20*14=280
Current State: 96:[88, 96, 280], Operations: ['20*14=280']
Exploring Operation: 88+96=184, Resulting Numbers: [280, 184]
Generated Node #3: [280, 184] from Operation: 88+96=184
Current State: 96:[280, 184], Operations: ['20*14=280', '88+96=184']
Exploring Operation: 280-184=96, Resulting Numbers: [96]
96,96 equal: Goal Reached
| 4 |
[
16,
48,
90,
83
] | 25 | [
"48-16=32",
"90-83=7",
"32-7=25"
] | Current State: 25:[16, 48, 90, 83], Operations: []
Exploring Operation: 48-16=32, Resulting Numbers: [90, 83, 32]
Generated Node #2: [90, 83, 32] from Operation: 48-16=32
Current State: 25:[90, 83, 32], Operations: ['48-16=32']
Exploring Operation: 90-83=7, Resulting Numbers: [32, 7]
Generated Node #3: [32, 7] from Operation: 90-83=7
Current State: 25:[32, 7], Operations: ['48-16=32', '90-83=7']
Exploring Operation: 32-7=25, Resulting Numbers: [25]
25,25 equal: Goal Reached
| 4 |
[
96,
44,
36,
5
] | 21 | [
"96-44=52",
"36-5=31",
"52-31=21"
] | Current State: 21:[96, 44, 36, 5], Operations: []
Exploring Operation: 96-44=52, Resulting Numbers: [36, 5, 52]
Generated Node #2: [36, 5, 52] from Operation: 96-44=52
Current State: 21:[36, 5, 52], Operations: ['96-44=52']
Exploring Operation: 36-5=31, Resulting Numbers: [52, 31]
Generated Node #3: [52, 31] from Operation: 36-5=31
Current State: 21:[52, 31], Operations: ['96-44=52', '36-5=31']
Exploring Operation: 52-31=21, Resulting Numbers: [21]
21,21 equal: Goal Reached
| 4 |
[
70,
92,
83,
46
] | 15 | [
"92-70=22",
"83-46=37",
"37-22=15"
] | Current State: 15:[70, 92, 83, 46], Operations: []
Exploring Operation: 92-70=22, Resulting Numbers: [83, 46, 22]
Generated Node #2: [83, 46, 22] from Operation: 92-70=22
Current State: 15:[83, 46, 22], Operations: ['92-70=22']
Exploring Operation: 83-46=37, Resulting Numbers: [22, 37]
Generated Node #3: [22, 37] from Operation: 83-46=37
Current State: 15:[22, 37], Operations: ['92-70=22', '83-46=37']
Exploring Operation: 37-22=15, Resulting Numbers: [15]
15,15 equal: Goal Reached
| 4 |
[
4,
42,
3,
20
] | 85 | [
"42-20=22",
"4*22=88",
"88-3=85"
] | Current State: 85:[4, 42, 3, 20], Operations: []
Exploring Operation: 42-20=22, Resulting Numbers: [4, 3, 22]
Generated Node #2: [4, 3, 22] from Operation: 42-20=22
Current State: 85:[4, 3, 22], Operations: ['42-20=22']
Exploring Operation: 4*22=88, Resulting Numbers: [3, 88]
Generated Node #3: [3, 88] from Operation: 4*22=88
Current State: 85:[3, 88], Operations: ['42-20=22', '4*22=88']
Exploring Operation: 88-3=85, Resulting Numbers: [85]
85,85 equal: Goal Reached
| 4 |
[
10,
83,
83,
76
] | 85 | [
"10+76=86",
"83/83=1",
"86-1=85"
] | Current State: 85:[10, 83, 83, 76], Operations: []
Exploring Operation: 10+76=86, Resulting Numbers: [83, 83, 86]
Generated Node #2: [83, 83, 86] from Operation: 10+76=86
Current State: 85:[83, 83, 86], Operations: ['10+76=86']
Exploring Operation: 83/83=1, Resulting Numbers: [86, 1]
Generated Node #3: [86, 1] from Operation: 83/83=1
Current State: 85:[86, 1], Operations: ['10+76=86', '83/83=1']
Exploring Operation: 86-1=85, Resulting Numbers: [85]
85,85 equal: Goal Reached
| 4 |
[
24,
86,
89,
87
] | 74 | [
"89-87=2",
"24/2=12",
"86-12=74"
] | Current State: 74:[24, 86, 89, 87], Operations: []
Exploring Operation: 89-87=2, Resulting Numbers: [24, 86, 2]
Generated Node #2: [24, 86, 2] from Operation: 89-87=2
Current State: 74:[24, 86, 2], Operations: ['89-87=2']
Exploring Operation: 24/2=12, Resulting Numbers: [86, 12]
Generated Node #3: [86, 12] from Operation: 24/2=12
Current State: 74:[86, 12], Operations: ['89-87=2', '24/2=12']
Exploring Operation: 86-12=74, Resulting Numbers: [74]
74,74 equal: Goal Reached
| 4 |
[
28,
11,
89,
96
] | 49 | [
"96-89=7",
"11*7=77",
"77-28=49"
] | Current State: 49:[28, 11, 89, 96], Operations: []
Exploring Operation: 96-89=7, Resulting Numbers: [28, 11, 7]
Generated Node #2: [28, 11, 7] from Operation: 96-89=7
Current State: 49:[28, 11, 7], Operations: ['96-89=7']
Exploring Operation: 11*7=77, Resulting Numbers: [28, 77]
Generated Node #3: [28, 77] from Operation: 11*7=77
Current State: 49:[28, 77], Operations: ['96-89=7', '11*7=77']
Exploring Operation: 77-28=49, Resulting Numbers: [49]
49,49 equal: Goal Reached
| 4 |
[
95,
39,
53,
35
] | 50 | [
"53*35=1855",
"95+1855=1950",
"1950/39=50"
] | Current State: 50:[95, 39, 53, 35], Operations: []
Exploring Operation: 53*35=1855, Resulting Numbers: [95, 39, 1855]
Generated Node #2: [95, 39, 1855] from Operation: 53*35=1855
Current State: 50:[95, 39, 1855], Operations: ['53*35=1855']
Exploring Operation: 95+1855=1950, Resulting Numbers: [39, 1950]
Generated Node #3: [39, 1950] from Operation: 95+1855=1950
Current State: 50:[39, 1950], Operations: ['53*35=1855', '95+1855=1950']
Exploring Operation: 1950/39=50, Resulting Numbers: [50]
50,50 equal: Goal Reached
| 4 |
[
31,
37,
56,
45
] | 95 | [
"37-31=6",
"56+45=101",
"101-6=95"
] | Current State: 95:[31, 37, 56, 45], Operations: []
Exploring Operation: 37-31=6, Resulting Numbers: [56, 45, 6]
Generated Node #2: [56, 45, 6] from Operation: 37-31=6
Current State: 95:[56, 45, 6], Operations: ['37-31=6']
Exploring Operation: 56+45=101, Resulting Numbers: [6, 101]
Generated Node #3: [6, 101] from Operation: 56+45=101
Current State: 95:[6, 101], Operations: ['37-31=6', '56+45=101']
Exploring Operation: 101-6=95, Resulting Numbers: [95]
95,95 equal: Goal Reached
| 4 |
[
78,
21,
98,
75
] | 75 | [
"78+21=99",
"99-98=1",
"75*1=75"
] | Current State: 75:[78, 21, 98, 75], Operations: []
Exploring Operation: 78+21=99, Resulting Numbers: [98, 75, 99]
Generated Node #2: [98, 75, 99] from Operation: 78+21=99
Current State: 75:[98, 75, 99], Operations: ['78+21=99']
Exploring Operation: 99-98=1, Resulting Numbers: [75, 1]
Generated Node #3: [75, 1] from Operation: 99-98=1
Current State: 75:[75, 1], Operations: ['78+21=99', '99-98=1']
Exploring Operation: 75*1=75, Resulting Numbers: [75]
75,75 equal: Goal Reached
| 4 |
[
1,
64,
10,
80
] | 72 | [
"1*64=64",
"80/10=8",
"64+8=72"
] | Current State: 72:[1, 64, 10, 80], Operations: []
Exploring Operation: 1*64=64, Resulting Numbers: [10, 80, 64]
Generated Node #2: [10, 80, 64] from Operation: 1*64=64
Current State: 72:[10, 80, 64], Operations: ['1*64=64']
Exploring Operation: 80/10=8, Resulting Numbers: [64, 8]
Generated Node #3: [64, 8] from Operation: 80/10=8
Current State: 72:[64, 8], Operations: ['1*64=64', '80/10=8']
Exploring Operation: 64+8=72, Resulting Numbers: [72]
72,72 equal: Goal Reached
| 4 |
[
57,
2,
28,
1
] | 29 | [
"57-28=29",
"2-1=1",
"29*1=29"
] | Current State: 29:[57, 2, 28, 1], Operations: []
Exploring Operation: 57-28=29, Resulting Numbers: [2, 1, 29]
Generated Node #2: [2, 1, 29] from Operation: 57-28=29
Current State: 29:[2, 1, 29], Operations: ['57-28=29']
Exploring Operation: 2-1=1, Resulting Numbers: [29, 1]
Generated Node #3: [29, 1] from Operation: 2-1=1
Current State: 29:[29, 1], Operations: ['57-28=29', '2-1=1']
Exploring Operation: 29*1=29, Resulting Numbers: [29]
29,29 equal: Goal Reached
| 4 |
[
6,
66,
62,
73
] | 75 | [
"66-6=60",
"62+73=135",
"135-60=75"
] | Current State: 75:[6, 66, 62, 73], Operations: []
Exploring Operation: 66-6=60, Resulting Numbers: [62, 73, 60]
Generated Node #2: [62, 73, 60] from Operation: 66-6=60
Current State: 75:[62, 73, 60], Operations: ['66-6=60']
Exploring Operation: 62+73=135, Resulting Numbers: [60, 135]
Generated Node #3: [60, 135] from Operation: 62+73=135
Current State: 75:[60, 135], Operations: ['66-6=60', '62+73=135']
Exploring Operation: 135-60=75, Resulting Numbers: [75]
75,75 equal: Goal Reached
| 4 |
[
13,
70,
56,
46
] | 47 | [
"70-13=57",
"56-46=10",
"57-10=47"
] | Current State: 47:[13, 70, 56, 46], Operations: []
Exploring Operation: 70-13=57, Resulting Numbers: [56, 46, 57]
Generated Node #2: [56, 46, 57] from Operation: 70-13=57
Current State: 47:[56, 46, 57], Operations: ['70-13=57']
Exploring Operation: 56-46=10, Resulting Numbers: [57, 10]
Generated Node #3: [57, 10] from Operation: 56-46=10
Current State: 47:[57, 10], Operations: ['70-13=57', '56-46=10']
Exploring Operation: 57-10=47, Resulting Numbers: [47]
47,47 equal: Goal Reached
| 4 |
[
43,
5,
75,
37
] | 67 | [
"43+75=118",
"5*37=185",
"185-118=67"
] | Current State: 67:[43, 5, 75, 37], Operations: []
Exploring Operation: 43+75=118, Resulting Numbers: [5, 37, 118]
Generated Node #2: [5, 37, 118] from Operation: 43+75=118
Current State: 67:[5, 37, 118], Operations: ['43+75=118']
Exploring Operation: 5*37=185, Resulting Numbers: [118, 185]
Generated Node #3: [118, 185] from Operation: 5*37=185
Current State: 67:[118, 185], Operations: ['43+75=118', '5*37=185']
Exploring Operation: 185-118=67, Resulting Numbers: [67]
67,67 equal: Goal Reached
| 4 |
[
2,
78,
10,
37
] | 14 | [
"2*37=74",
"78+10=88",
"88-74=14"
] | Current State: 14:[2, 78, 10, 37], Operations: []
Exploring Operation: 2*37=74, Resulting Numbers: [78, 10, 74]
Generated Node #2: [78, 10, 74] from Operation: 2*37=74
Current State: 14:[78, 10, 74], Operations: ['2*37=74']
Exploring Operation: 78+10=88, Resulting Numbers: [74, 88]
Generated Node #3: [74, 88] from Operation: 78+10=88
Current State: 14:[74, 88], Operations: ['2*37=74', '78+10=88']
Exploring Operation: 88-74=14, Resulting Numbers: [14]
14,14 equal: Goal Reached
| 4 |
[
6,
13,
7,
38
] | 37 | [
"13-6=7",
"7/7=1",
"38-1=37"
] | Current State: 37:[6, 13, 7, 38], Operations: []
Exploring Operation: 13-6=7, Resulting Numbers: [7, 38, 7]
Generated Node #2: [7, 38, 7] from Operation: 13-6=7
Current State: 37:[7, 38, 7], Operations: ['13-6=7']
Exploring Operation: 7/7=1, Resulting Numbers: [38, 1]
Generated Node #3: [38, 1] from Operation: 7/7=1
Current State: 37:[38, 1], Operations: ['13-6=7', '7/7=1']
Exploring Operation: 38-1=37, Resulting Numbers: [37]
37,37 equal: Goal Reached
| 4 |
[
84,
14,
2,
39
] | 95 | [
"84/2=42",
"14+39=53",
"42+53=95"
] | Current State: 95:[84, 14, 2, 39], Operations: []
Exploring Operation: 84/2=42, Resulting Numbers: [14, 39, 42]
Generated Node #2: [14, 39, 42] from Operation: 84/2=42
Current State: 95:[14, 39, 42], Operations: ['84/2=42']
Exploring Operation: 14+39=53, Resulting Numbers: [42, 53]
Generated Node #3: [42, 53] from Operation: 14+39=53
Current State: 95:[42, 53], Operations: ['84/2=42', '14+39=53']
Exploring Operation: 42+53=95, Resulting Numbers: [95]
95,95 equal: Goal Reached
| 4 |
[
80,
21,
10,
48
] | 82 | [
"80+48=128",
"21*10=210",
"210-128=82"
] | Current State: 82:[80, 21, 10, 48], Operations: []
Exploring Operation: 80+48=128, Resulting Numbers: [21, 10, 128]
Generated Node #2: [21, 10, 128] from Operation: 80+48=128
Current State: 82:[21, 10, 128], Operations: ['80+48=128']
Exploring Operation: 21*10=210, Resulting Numbers: [128, 210]
Generated Node #3: [128, 210] from Operation: 21*10=210
Current State: 82:[128, 210], Operations: ['80+48=128', '21*10=210']
Exploring Operation: 210-128=82, Resulting Numbers: [82]
82,82 equal: Goal Reached
| 4 |
[
4,
71,
45,
40
] | 39 | [
"71+45=116",
"40+116=156",
"156/4=39"
] | Current State: 39:[4, 71, 45, 40], Operations: []
Exploring Operation: 71+45=116, Resulting Numbers: [4, 40, 116]
Generated Node #2: [4, 40, 116] from Operation: 71+45=116
Current State: 39:[4, 40, 116], Operations: ['71+45=116']
Exploring Operation: 40+116=156, Resulting Numbers: [4, 156]
Generated Node #3: [4, 156] from Operation: 40+116=156
Current State: 39:[4, 156], Operations: ['71+45=116', '40+116=156']
Exploring Operation: 156/4=39, Resulting Numbers: [39]
39,39 equal: Goal Reached
| 4 |
[
32,
65,
64,
93
] | 14 | [
"64/32=2",
"93-65=28",
"28/2=14"
] | Current State: 14:[32, 65, 64, 93], Operations: []
Exploring Operation: 64/32=2, Resulting Numbers: [65, 93, 2]
Generated Node #2: [65, 93, 2] from Operation: 64/32=2
Current State: 14:[65, 93, 2], Operations: ['64/32=2']
Exploring Operation: 93-65=28, Resulting Numbers: [2, 28]
Generated Node #3: [2, 28] from Operation: 93-65=28
Current State: 14:[2, 28], Operations: ['64/32=2', '93-65=28']
Exploring Operation: 28/2=14, Resulting Numbers: [14]
14,14 equal: Goal Reached
| 4 |
[
75,
5,
30,
3
] | 70 | [
"75+5=80",
"30/3=10",
"80-10=70"
] | Current State: 70:[75, 5, 30, 3], Operations: []
Exploring Operation: 75+5=80, Resulting Numbers: [30, 3, 80]
Generated Node #2: [30, 3, 80] from Operation: 75+5=80
Current State: 70:[30, 3, 80], Operations: ['75+5=80']
Exploring Operation: 30/3=10, Resulting Numbers: [80, 10]
Generated Node #3: [80, 10] from Operation: 30/3=10
Current State: 70:[80, 10], Operations: ['75+5=80', '30/3=10']
Exploring Operation: 80-10=70, Resulting Numbers: [70]
70,70 equal: Goal Reached
| 4 |
[
74,
44,
97,
2
] | 32 | [
"97-44=53",
"2*53=106",
"106-74=32"
] | Current State: 32:[74, 44, 97, 2], Operations: []
Exploring Operation: 97-44=53, Resulting Numbers: [74, 2, 53]
Generated Node #2: [74, 2, 53] from Operation: 97-44=53
Current State: 32:[74, 2, 53], Operations: ['97-44=53']
Exploring Operation: 2*53=106, Resulting Numbers: [74, 106]
Generated Node #3: [74, 106] from Operation: 2*53=106
Current State: 32:[74, 106], Operations: ['97-44=53', '2*53=106']
Exploring Operation: 106-74=32, Resulting Numbers: [32]
32,32 equal: Goal Reached
| 4 |
[
82,
7,
33,
19
] | 89 | [
"82-7=75",
"33-19=14",
"75+14=89"
] | Current State: 89:[82, 7, 33, 19], Operations: []
Exploring Operation: 82-7=75, Resulting Numbers: [33, 19, 75]
Generated Node #2: [33, 19, 75] from Operation: 82-7=75
Current State: 89:[33, 19, 75], Operations: ['82-7=75']
Exploring Operation: 33-19=14, Resulting Numbers: [75, 14]
Generated Node #3: [75, 14] from Operation: 33-19=14
Current State: 89:[75, 14], Operations: ['82-7=75', '33-19=14']
Exploring Operation: 75+14=89, Resulting Numbers: [89]
89,89 equal: Goal Reached
| 4 |
[
91,
2,
20,
46
] | 96 | [
"91-20=71",
"2*71=142",
"142-46=96"
] | Current State: 96:[91, 2, 20, 46], Operations: []
Exploring Operation: 91-20=71, Resulting Numbers: [2, 46, 71]
Generated Node #2: [2, 46, 71] from Operation: 91-20=71
Current State: 96:[2, 46, 71], Operations: ['91-20=71']
Exploring Operation: 2*71=142, Resulting Numbers: [46, 142]
Generated Node #3: [46, 142] from Operation: 2*71=142
Current State: 96:[46, 142], Operations: ['91-20=71', '2*71=142']
Exploring Operation: 142-46=96, Resulting Numbers: [96]
96,96 equal: Goal Reached
| 4 |
[
1,
64,
79,
3
] | 12 | [
"1*64=64",
"79-3=76",
"76-64=12"
] | Current State: 12:[1, 64, 79, 3], Operations: []
Exploring Operation: 1*64=64, Resulting Numbers: [79, 3, 64]
Generated Node #2: [79, 3, 64] from Operation: 1*64=64
Current State: 12:[79, 3, 64], Operations: ['1*64=64']
Exploring Operation: 79-3=76, Resulting Numbers: [64, 76]
Generated Node #3: [64, 76] from Operation: 79-3=76
Current State: 12:[64, 76], Operations: ['1*64=64', '79-3=76']
Exploring Operation: 76-64=12, Resulting Numbers: [12]
12,12 equal: Goal Reached
| 4 |
[
10,
79,
16,
16
] | 57 | [
"10+79=89",
"16+16=32",
"89-32=57"
] | Current State: 57:[10, 79, 16, 16], Operations: []
Exploring Operation: 10+79=89, Resulting Numbers: [16, 16, 89]
Generated Node #2: [16, 16, 89] from Operation: 10+79=89
Current State: 57:[16, 16, 89], Operations: ['10+79=89']
Exploring Operation: 16+16=32, Resulting Numbers: [89, 32]
Generated Node #3: [89, 32] from Operation: 16+16=32
Current State: 57:[89, 32], Operations: ['10+79=89', '16+16=32']
Exploring Operation: 89-32=57, Resulting Numbers: [57]
57,57 equal: Goal Reached
| 4 |
[
57,
18,
84,
36
] | 24 | [
"84-57=27",
"18*36=648",
"648/27=24"
] | Current State: 24:[57, 18, 84, 36], Operations: []
Exploring Operation: 84-57=27, Resulting Numbers: [18, 36, 27]
Generated Node #2: [18, 36, 27] from Operation: 84-57=27
Current State: 24:[18, 36, 27], Operations: ['84-57=27']
Exploring Operation: 18*36=648, Resulting Numbers: [27, 648]
Generated Node #3: [27, 648] from Operation: 18*36=648
Current State: 24:[27, 648], Operations: ['84-57=27', '18*36=648']
Exploring Operation: 648/27=24, Resulting Numbers: [24]
24,24 equal: Goal Reached
| 4 |
[
6,
65,
31,
5
] | 34 | [
"6-5=1",
"65-31=34",
"1*34=34"
] | Current State: 34:[6, 65, 31, 5], Operations: []
Exploring Operation: 6-5=1, Resulting Numbers: [65, 31, 1]
Generated Node #2: [65, 31, 1] from Operation: 6-5=1
Current State: 34:[65, 31, 1], Operations: ['6-5=1']
Exploring Operation: 65-31=34, Resulting Numbers: [1, 34]
Generated Node #3: [1, 34] from Operation: 65-31=34
Current State: 34:[1, 34], Operations: ['6-5=1', '65-31=34']
Exploring Operation: 1*34=34, Resulting Numbers: [34]
34,34 equal: Goal Reached
| 4 |
[
34,
45,
31,
36
] | 21 | [
"34-31=3",
"45/3=15",
"36-15=21"
] | Current State: 21:[34, 45, 31, 36], Operations: []
Exploring Operation: 34-31=3, Resulting Numbers: [45, 36, 3]
Generated Node #2: [45, 36, 3] from Operation: 34-31=3
Current State: 21:[45, 36, 3], Operations: ['34-31=3']
Exploring Operation: 45/3=15, Resulting Numbers: [36, 15]
Generated Node #3: [36, 15] from Operation: 45/3=15
Current State: 21:[36, 15], Operations: ['34-31=3', '45/3=15']
Exploring Operation: 36-15=21, Resulting Numbers: [21]
21,21 equal: Goal Reached
| 4 |
[
5,
34,
82,
6
] | 37 | [
"5+34=39",
"82-6=76",
"76-39=37"
] | Current State: 37:[5, 34, 82, 6], Operations: []
Exploring Operation: 5+34=39, Resulting Numbers: [82, 6, 39]
Generated Node #2: [82, 6, 39] from Operation: 5+34=39
Current State: 37:[82, 6, 39], Operations: ['5+34=39']
Exploring Operation: 82-6=76, Resulting Numbers: [39, 76]
Generated Node #3: [39, 76] from Operation: 82-6=76
Current State: 37:[39, 76], Operations: ['5+34=39', '82-6=76']
Exploring Operation: 76-39=37, Resulting Numbers: [37]
37,37 equal: Goal Reached
| 4 |
[
15,
43,
41,
89
] | 72 | [
"15+43=58",
"41+89=130",
"130-58=72"
] | Current State: 72:[15, 43, 41, 89], Operations: []
Exploring Operation: 15+43=58, Resulting Numbers: [41, 89, 58]
Generated Node #2: [41, 89, 58] from Operation: 15+43=58
Current State: 72:[41, 89, 58], Operations: ['15+43=58']
Exploring Operation: 41+89=130, Resulting Numbers: [58, 130]
Generated Node #3: [58, 130] from Operation: 41+89=130
Current State: 72:[58, 130], Operations: ['15+43=58', '41+89=130']
Exploring Operation: 130-58=72, Resulting Numbers: [72]
72,72 equal: Goal Reached
| 4 |
[
3,
37,
35,
9
] | 68 | [
"9/3=3",
"35*3=105",
"105-37=68"
] | Current State: 68:[3, 37, 35, 9], Operations: []
Exploring Operation: 9/3=3, Resulting Numbers: [37, 35, 3]
Generated Node #2: [37, 35, 3] from Operation: 9/3=3
Current State: 68:[37, 35, 3], Operations: ['9/3=3']
Exploring Operation: 35*3=105, Resulting Numbers: [37, 105]
Generated Node #3: [37, 105] from Operation: 35*3=105
Current State: 68:[37, 105], Operations: ['9/3=3', '35*3=105']
Exploring Operation: 105-37=68, Resulting Numbers: [68]
68,68 equal: Goal Reached
| 4 |
[
61,
6,
54,
2
] | 20 | [
"61-54=7",
"2*7=14",
"6+14=20"
] | Current State: 20:[61, 6, 54, 2], Operations: []
Exploring Operation: 61-54=7, Resulting Numbers: [6, 2, 7]
Generated Node #2: [6, 2, 7] from Operation: 61-54=7
Current State: 20:[6, 2, 7], Operations: ['61-54=7']
Exploring Operation: 2*7=14, Resulting Numbers: [6, 14]
Generated Node #3: [6, 14] from Operation: 2*7=14
Current State: 20:[6, 14], Operations: ['61-54=7', '2*7=14']
Exploring Operation: 6+14=20, Resulting Numbers: [20]
20,20 equal: Goal Reached
| 4 |
[
7,
86,
86,
31
] | 83 | [
"7+86=93",
"93/31=3",
"86-3=83"
] | Current State: 83:[7, 86, 86, 31], Operations: []
Exploring Operation: 7+86=93, Resulting Numbers: [31, 93]
Generated Node #2: [31, 93] from Operation: 7+86=93
Current State: 83:[31, 93], Operations: ['7+86=93']
Exploring Operation: 93/31=3, Resulting Numbers: [3]
3,83 equal: Goal Reached
Exploring Operation: 86-3=83, Resulting Numbers: [83]
83,83 equal: Goal Reached
| 4 |
[
94,
47,
8,
11
] | 50 | [
"94-47=47",
"11-8=3",
"47+3=50"
] | Current State: 50:[94, 47, 8, 11], Operations: []
Exploring Operation: 94-47=47, Resulting Numbers: [8, 11, 47]
Generated Node #2: [8, 11, 47] from Operation: 94-47=47
Current State: 50:[8, 11, 47], Operations: ['94-47=47']
Exploring Operation: 11-8=3, Resulting Numbers: [47, 3]
Generated Node #3: [47, 3] from Operation: 11-8=3
Current State: 50:[47, 3], Operations: ['94-47=47', '11-8=3']
Exploring Operation: 47+3=50, Resulting Numbers: [50]
50,50 equal: Goal Reached
| 4 |
[
15,
51,
44,
27
] | 19 | [
"51-15=36",
"44-27=17",
"36-17=19"
] | Current State: 19:[15, 51, 44, 27], Operations: []
Exploring Operation: 51-15=36, Resulting Numbers: [44, 27, 36]
Generated Node #2: [44, 27, 36] from Operation: 51-15=36
Current State: 19:[44, 27, 36], Operations: ['51-15=36']
Exploring Operation: 44-27=17, Resulting Numbers: [36, 17]
Generated Node #3: [36, 17] from Operation: 44-27=17
Current State: 19:[36, 17], Operations: ['51-15=36', '44-27=17']
Exploring Operation: 36-17=19, Resulting Numbers: [19]
19,19 equal: Goal Reached
| 4 |
[
34,
23,
75,
2
] | 88 | [
"34-23=11",
"75+2=77",
"11+77=88"
] | Current State: 88:[34, 23, 75, 2], Operations: []
Exploring Operation: 34-23=11, Resulting Numbers: [75, 2, 11]
Generated Node #2: [75, 2, 11] from Operation: 34-23=11
Current State: 88:[75, 2, 11], Operations: ['34-23=11']
Exploring Operation: 75+2=77, Resulting Numbers: [11, 77]
Generated Node #3: [11, 77] from Operation: 75+2=77
Current State: 88:[11, 77], Operations: ['34-23=11', '75+2=77']
Exploring Operation: 11+77=88, Resulting Numbers: [88]
88,88 equal: Goal Reached
| 4 |
[
71,
24,
33,
49
] | 16 | [
"71-49=22",
"24*22=528",
"528/33=16"
] | Current State: 16:[71, 24, 33, 49], Operations: []
Exploring Operation: 71-49=22, Resulting Numbers: [24, 33, 22]
Generated Node #2: [24, 33, 22] from Operation: 71-49=22
Current State: 16:[24, 33, 22], Operations: ['71-49=22']
Exploring Operation: 24*22=528, Resulting Numbers: [33, 528]
Generated Node #3: [33, 528] from Operation: 24*22=528
Current State: 16:[33, 528], Operations: ['71-49=22', '24*22=528']
Exploring Operation: 528/33=16, Resulting Numbers: [16]
16,16 equal: Goal Reached
| 4 |
[
21,
36,
87,
78
] | 85 | [
"78-36=42",
"42/21=2",
"87-2=85"
] | Current State: 85:[21, 36, 87, 78], Operations: []
Exploring Operation: 78-36=42, Resulting Numbers: [21, 87, 42]
Generated Node #2: [21, 87, 42] from Operation: 78-36=42
Current State: 85:[21, 87, 42], Operations: ['78-36=42']
Exploring Operation: 42/21=2, Resulting Numbers: [87, 2]
Generated Node #3: [87, 2] from Operation: 42/21=2
Current State: 85:[87, 2], Operations: ['78-36=42', '42/21=2']
Exploring Operation: 87-2=85, Resulting Numbers: [85]
85,85 equal: Goal Reached
| 4 |
[
35,
61,
58,
25
] | 30 | [
"35-25=10",
"61-58=3",
"10*3=30"
] | Current State: 30:[35, 61, 58, 25], Operations: []
Exploring Operation: 35-25=10, Resulting Numbers: [61, 58, 10]
Generated Node #2: [61, 58, 10] from Operation: 35-25=10
Current State: 30:[61, 58, 10], Operations: ['35-25=10']
Exploring Operation: 61-58=3, Resulting Numbers: [10, 3]
Generated Node #3: [10, 3] from Operation: 61-58=3
Current State: 30:[10, 3], Operations: ['35-25=10', '61-58=3']
Exploring Operation: 10*3=30, Resulting Numbers: [30]
30,30 equal: Goal Reached
| 4 |
[
65,
43,
96,
68
] | 56 | [
"65+43=108",
"96+68=164",
"164-108=56"
] | Current State: 56:[65, 43, 96, 68], Operations: []
Exploring Operation: 65+43=108, Resulting Numbers: [96, 68, 108]
Generated Node #2: [96, 68, 108] from Operation: 65+43=108
Current State: 56:[96, 68, 108], Operations: ['65+43=108']
Exploring Operation: 96+68=164, Resulting Numbers: [108, 164]
Generated Node #3: [108, 164] from Operation: 96+68=164
Current State: 56:[108, 164], Operations: ['65+43=108', '96+68=164']
Exploring Operation: 164-108=56, Resulting Numbers: [56]
56,56 equal: Goal Reached
| 4 |
[
58,
76,
40,
8
] | 86 | [
"58+76=134",
"40+8=48",
"134-48=86"
] | Current State: 86:[58, 76, 40, 8], Operations: []
Exploring Operation: 58+76=134, Resulting Numbers: [40, 8, 134]
Generated Node #2: [40, 8, 134] from Operation: 58+76=134
Current State: 86:[40, 8, 134], Operations: ['58+76=134']
Exploring Operation: 40+8=48, Resulting Numbers: [134, 48]
Generated Node #3: [134, 48] from Operation: 40+8=48
Current State: 86:[134, 48], Operations: ['58+76=134', '40+8=48']
Exploring Operation: 134-48=86, Resulting Numbers: [86]
86,86 equal: Goal Reached
| 4 |
[
5,
81,
36,
31
] | 26 | [
"81-31=50",
"50/5=10",
"36-10=26"
] | Current State: 26:[5, 81, 36, 31], Operations: []
Exploring Operation: 81-31=50, Resulting Numbers: [5, 36, 50]
Generated Node #2: [5, 36, 50] from Operation: 81-31=50
Current State: 26:[5, 36, 50], Operations: ['81-31=50']
Exploring Operation: 50/5=10, Resulting Numbers: [36, 10]
Generated Node #3: [36, 10] from Operation: 50/5=10
Current State: 26:[36, 10], Operations: ['81-31=50', '50/5=10']
Exploring Operation: 36-10=26, Resulting Numbers: [26]
26,26 equal: Goal Reached
| 4 |
[
4,
10,
4,
16
] | 96 | [
"4*10=40",
"40-16=24",
"4*24=96"
] | Current State: 96:[4, 10, 4, 16], Operations: []
Exploring Operation: 4*10=40, Resulting Numbers: [16, 40]
Generated Node #2: [16, 40] from Operation: 4*10=40
Current State: 96:[16, 40], Operations: ['4*10=40']
Exploring Operation: 40-16=24, Resulting Numbers: [24]
24,96 equal: Goal Reached
Exploring Operation: 4*24=96, Resulting Numbers: [96]
96,96 equal: Goal Reached
| 4 |
[
32,
48,
70,
26
] | 31 | [
"48*26=1248",
"1248/32=39",
"70-39=31"
] | Current State: 31:[32, 48, 70, 26], Operations: []
Exploring Operation: 48*26=1248, Resulting Numbers: [32, 70, 1248]
Generated Node #2: [32, 70, 1248] from Operation: 48*26=1248
Current State: 31:[32, 70, 1248], Operations: ['48*26=1248']
Exploring Operation: 1248/32=39, Resulting Numbers: [70, 39]
Generated Node #3: [70, 39] from Operation: 1248/32=39
Current State: 31:[70, 39], Operations: ['48*26=1248', '1248/32=39']
Exploring Operation: 70-39=31, Resulting Numbers: [31]
31,31 equal: Goal Reached
| 4 |
[
24,
8,
37,
73
] | 52 | [
"24-8=16",
"73-37=36",
"16+36=52"
] | Current State: 52:[24, 8, 37, 73], Operations: []
Exploring Operation: 24-8=16, Resulting Numbers: [37, 73, 16]
Generated Node #2: [37, 73, 16] from Operation: 24-8=16
Current State: 52:[37, 73, 16], Operations: ['24-8=16']
Exploring Operation: 73-37=36, Resulting Numbers: [16, 36]
Generated Node #3: [16, 36] from Operation: 73-37=36
Current State: 52:[16, 36], Operations: ['24-8=16', '73-37=36']
Exploring Operation: 16+36=52, Resulting Numbers: [52]
52,52 equal: Goal Reached
| 4 |
[
97,
59,
32,
5
] | 38 | [
"59-32=27",
"5*27=135",
"135-97=38"
] | Current State: 38:[97, 59, 32, 5], Operations: []
Exploring Operation: 59-32=27, Resulting Numbers: [97, 5, 27]
Generated Node #2: [97, 5, 27] from Operation: 59-32=27
Current State: 38:[97, 5, 27], Operations: ['59-32=27']
Exploring Operation: 5*27=135, Resulting Numbers: [97, 135]
Generated Node #3: [97, 135] from Operation: 5*27=135
Current State: 38:[97, 135], Operations: ['59-32=27', '5*27=135']
Exploring Operation: 135-97=38, Resulting Numbers: [38]
38,38 equal: Goal Reached
| 4 |
[
12,
53,
60,
58
] | 24 | [
"58-53=5",
"60/5=12",
"12+12=24"
] | Current State: 24:[12, 53, 60, 58], Operations: []
Exploring Operation: 58-53=5, Resulting Numbers: [12, 60, 5]
Generated Node #2: [12, 60, 5] from Operation: 58-53=5
Current State: 24:[12, 60, 5], Operations: ['58-53=5']
Exploring Operation: 60/5=12, Resulting Numbers: [12, 12]
Generated Node #3: [12, 12] from Operation: 60/5=12
Current State: 24:[12, 12], Operations: ['58-53=5', '60/5=12']
Exploring Operation: 12+12=24, Resulting Numbers: [24]
24,24 equal: Goal Reached
| 4 |
[
71,
2,
16,
20
] | 43 | [
"71-20=51",
"16/2=8",
"51-8=43"
] | Current State: 43:[71, 2, 16, 20], Operations: []
Exploring Operation: 71-20=51, Resulting Numbers: [2, 16, 51]
Generated Node #2: [2, 16, 51] from Operation: 71-20=51
Current State: 43:[2, 16, 51], Operations: ['71-20=51']
Exploring Operation: 16/2=8, Resulting Numbers: [51, 8]
Generated Node #3: [51, 8] from Operation: 16/2=8
Current State: 43:[51, 8], Operations: ['71-20=51', '16/2=8']
Exploring Operation: 51-8=43, Resulting Numbers: [43]
43,43 equal: Goal Reached
| 4 |
[
57,
58,
12,
69
] | 70 | [
"58*69=4002",
"4002-12=3990",
"3990/57=70"
] | Current State: 70:[57, 58, 12, 69], Operations: []
Exploring Operation: 58*69=4002, Resulting Numbers: [57, 12, 4002]
Generated Node #2: [57, 12, 4002] from Operation: 58*69=4002
Current State: 70:[57, 12, 4002], Operations: ['58*69=4002']
Exploring Operation: 4002-12=3990, Resulting Numbers: [57, 3990]
Generated Node #3: [57, 3990] from Operation: 4002-12=3990
Current State: 70:[57, 3990], Operations: ['58*69=4002', '4002-12=3990']
Exploring Operation: 3990/57=70, Resulting Numbers: [70]
70,70 equal: Goal Reached
| 4 |
[
93,
42,
11,
39
] | 23 | [
"93-42=51",
"39-11=28",
"51-28=23"
] | Current State: 23:[93, 42, 11, 39], Operations: []
Exploring Operation: 93-42=51, Resulting Numbers: [11, 39, 51]
Generated Node #2: [11, 39, 51] from Operation: 93-42=51
Current State: 23:[11, 39, 51], Operations: ['93-42=51']
Exploring Operation: 39-11=28, Resulting Numbers: [51, 28]
Generated Node #3: [51, 28] from Operation: 39-11=28
Current State: 23:[51, 28], Operations: ['93-42=51', '39-11=28']
Exploring Operation: 51-28=23, Resulting Numbers: [23]
23,23 equal: Goal Reached
| 4 |
[
28,
49,
2,
81
] | 51 | [
"49-28=21",
"81+21=102",
"102/2=51"
] | Current State: 51:[28, 49, 2, 81], Operations: []
Exploring Operation: 49-28=21, Resulting Numbers: [2, 81, 21]
Generated Node #2: [2, 81, 21] from Operation: 49-28=21
Current State: 51:[2, 81, 21], Operations: ['49-28=21']
Exploring Operation: 81+21=102, Resulting Numbers: [2, 102]
Generated Node #3: [2, 102] from Operation: 81+21=102
Current State: 51:[2, 102], Operations: ['49-28=21', '81+21=102']
Exploring Operation: 102/2=51, Resulting Numbers: [51]
51,51 equal: Goal Reached
| 4 |
[
54,
40,
4,
19
] | 62 | [
"54-40=14",
"4*19=76",
"76-14=62"
] | Current State: 62:[54, 40, 4, 19], Operations: []
Exploring Operation: 54-40=14, Resulting Numbers: [4, 19, 14]
Generated Node #2: [4, 19, 14] from Operation: 54-40=14
Current State: 62:[4, 19, 14], Operations: ['54-40=14']
Exploring Operation: 4*19=76, Resulting Numbers: [14, 76]
Generated Node #3: [14, 76] from Operation: 4*19=76
Current State: 62:[14, 76], Operations: ['54-40=14', '4*19=76']
Exploring Operation: 76-14=62, Resulting Numbers: [62]
62,62 equal: Goal Reached
| 4 |
[
25,
30,
56,
59
] | 60 | [
"25+30=55",
"56+59=115",
"115-55=60"
] | Current State: 60:[25, 30, 56, 59], Operations: []
Exploring Operation: 25+30=55, Resulting Numbers: [56, 59, 55]
Generated Node #2: [56, 59, 55] from Operation: 25+30=55
Current State: 60:[56, 59, 55], Operations: ['25+30=55']
Exploring Operation: 56+59=115, Resulting Numbers: [55, 115]
Generated Node #3: [55, 115] from Operation: 56+59=115
Current State: 60:[55, 115], Operations: ['25+30=55', '56+59=115']
Exploring Operation: 115-55=60, Resulting Numbers: [60]
60,60 equal: Goal Reached
| 4 |
[
25,
34,
53,
54
] | 60 | [
"25+34=59",
"54-53=1",
"59+1=60"
] | Current State: 60:[25, 34, 53, 54], Operations: []
Exploring Operation: 25+34=59, Resulting Numbers: [53, 54, 59]
Generated Node #2: [53, 54, 59] from Operation: 25+34=59
Current State: 60:[53, 54, 59], Operations: ['25+34=59']
Exploring Operation: 54-53=1, Resulting Numbers: [59, 1]
Generated Node #3: [59, 1] from Operation: 54-53=1
Current State: 60:[59, 1], Operations: ['25+34=59', '54-53=1']
Exploring Operation: 59+1=60, Resulting Numbers: [60]
60,60 equal: Goal Reached
| 4 |
[
47,
44,
56,
22
] | 38 | [
"47*44=2068",
"2068/22=94",
"94-56=38"
] | Current State: 38:[47, 44, 56, 22], Operations: []
Exploring Operation: 47*44=2068, Resulting Numbers: [56, 22, 2068]
Generated Node #2: [56, 22, 2068] from Operation: 47*44=2068
Current State: 38:[56, 22, 2068], Operations: ['47*44=2068']
Exploring Operation: 2068/22=94, Resulting Numbers: [56, 94]
Generated Node #3: [56, 94] from Operation: 2068/22=94
Current State: 38:[56, 94], Operations: ['47*44=2068', '2068/22=94']
Exploring Operation: 94-56=38, Resulting Numbers: [38]
38,38 equal: Goal Reached
| 4 |
[
26,
45,
34,
76
] | 61 | [
"45-26=19",
"76-34=42",
"19+42=61"
] | Current State: 61:[26, 45, 34, 76], Operations: []
Exploring Operation: 45-26=19, Resulting Numbers: [34, 76, 19]
Generated Node #2: [34, 76, 19] from Operation: 45-26=19
Current State: 61:[34, 76, 19], Operations: ['45-26=19']
Exploring Operation: 76-34=42, Resulting Numbers: [19, 42]
Generated Node #3: [19, 42] from Operation: 76-34=42
Current State: 61:[19, 42], Operations: ['45-26=19', '76-34=42']
Exploring Operation: 19+42=61, Resulting Numbers: [61]
61,61 equal: Goal Reached
| 4 |
[
98,
55,
82,
53
] | 66 | [
"55-53=2",
"82*2=164",
"164-98=66"
] | Current State: 66:[98, 55, 82, 53], Operations: []
Exploring Operation: 55-53=2, Resulting Numbers: [98, 82, 2]
Generated Node #2: [98, 82, 2] from Operation: 55-53=2
Current State: 66:[98, 82, 2], Operations: ['55-53=2']
Exploring Operation: 82*2=164, Resulting Numbers: [98, 164]
Generated Node #3: [98, 164] from Operation: 82*2=164
Current State: 66:[98, 164], Operations: ['55-53=2', '82*2=164']
Exploring Operation: 164-98=66, Resulting Numbers: [66]
66,66 equal: Goal Reached
| 4 |
[
34,
4,
54,
29
] | 53 | [
"34*4=136",
"54+29=83",
"136-83=53"
] | Current State: 53:[34, 4, 54, 29], Operations: []
Exploring Operation: 34*4=136, Resulting Numbers: [54, 29, 136]
Generated Node #2: [54, 29, 136] from Operation: 34*4=136
Current State: 53:[54, 29, 136], Operations: ['34*4=136']
Exploring Operation: 54+29=83, Resulting Numbers: [136, 83]
Generated Node #3: [136, 83] from Operation: 54+29=83
Current State: 53:[136, 83], Operations: ['34*4=136', '54+29=83']
Exploring Operation: 136-83=53, Resulting Numbers: [53]
53,53 equal: Goal Reached
| 4 |
[
80,
58,
74,
95
] | 19 | [
"74-58=16",
"80/16=5",
"95/5=19"
] | Current State: 19:[80, 58, 74, 95], Operations: []
Exploring Operation: 74-58=16, Resulting Numbers: [80, 95, 16]
Generated Node #2: [80, 95, 16] from Operation: 74-58=16
Current State: 19:[80, 95, 16], Operations: ['74-58=16']
Exploring Operation: 80/16=5, Resulting Numbers: [95, 5]
Generated Node #3: [95, 5] from Operation: 80/16=5
Current State: 19:[95, 5], Operations: ['74-58=16', '80/16=5']
Exploring Operation: 95/5=19, Resulting Numbers: [19]
19,19 equal: Goal Reached
| 4 |
[
30,
40,
84,
90
] | 93 | [
"40-30=10",
"90/10=9",
"84+9=93"
] | Current State: 93:[30, 40, 84, 90], Operations: []
Exploring Operation: 40-30=10, Resulting Numbers: [84, 90, 10]
Generated Node #2: [84, 90, 10] from Operation: 40-30=10
Current State: 93:[84, 90, 10], Operations: ['40-30=10']
Exploring Operation: 90/10=9, Resulting Numbers: [84, 9]
Generated Node #3: [84, 9] from Operation: 90/10=9
Current State: 93:[84, 9], Operations: ['40-30=10', '90/10=9']
Exploring Operation: 84+9=93, Resulting Numbers: [93]
93,93 equal: Goal Reached
| 4 |
[
33,
99,
8,
20
] | 38 | [
"99-33=66",
"8+20=28",
"66-28=38"
] | Current State: 38:[33, 99, 8, 20], Operations: []
Exploring Operation: 99-33=66, Resulting Numbers: [8, 20, 66]
Generated Node #2: [8, 20, 66] from Operation: 99-33=66
Current State: 38:[8, 20, 66], Operations: ['99-33=66']
Exploring Operation: 8+20=28, Resulting Numbers: [66, 28]
Generated Node #3: [66, 28] from Operation: 8+20=28
Current State: 38:[66, 28], Operations: ['99-33=66', '8+20=28']
Exploring Operation: 66-28=38, Resulting Numbers: [38]
38,38 equal: Goal Reached
| 4 |
[
19,
4,
1,
2
] | 41 | [
"19*2=38",
"4-1=3",
"38+3=41"
] | Current State: 41:[19, 4, 1, 2], Operations: []
Exploring Operation: 19*2=38, Resulting Numbers: [4, 1, 38]
Generated Node #2: [4, 1, 38] from Operation: 19*2=38
Current State: 41:[4, 1, 38], Operations: ['19*2=38']
Exploring Operation: 4-1=3, Resulting Numbers: [38, 3]
Generated Node #3: [38, 3] from Operation: 4-1=3
Current State: 41:[38, 3], Operations: ['19*2=38', '4-1=3']
Exploring Operation: 38+3=41, Resulting Numbers: [41]
41,41 equal: Goal Reached
| 4 |
[
53,
39,
26,
28
] | 28 | [
"53-39=14",
"28-26=2",
"14*2=28"
] | Current State: 28:[53, 39, 26, 28], Operations: []
Exploring Operation: 53-39=14, Resulting Numbers: [26, 28, 14]
Generated Node #2: [26, 28, 14] from Operation: 53-39=14
Current State: 28:[26, 28, 14], Operations: ['53-39=14']
Exploring Operation: 28-26=2, Resulting Numbers: [14, 2]
Generated Node #3: [14, 2] from Operation: 28-26=2
Current State: 28:[14, 2], Operations: ['53-39=14', '28-26=2']
Exploring Operation: 14*2=28, Resulting Numbers: [28]
28,28 equal: Goal Reached
| 4 |
[
28,
32,
2,
72
] | 20 | [
"32-28=4",
"72/4=18",
"2+18=20"
] | Current State: 20:[28, 32, 2, 72], Operations: []
Exploring Operation: 32-28=4, Resulting Numbers: [2, 72, 4]
Generated Node #2: [2, 72, 4] from Operation: 32-28=4
Current State: 20:[2, 72, 4], Operations: ['32-28=4']
Exploring Operation: 72/4=18, Resulting Numbers: [2, 18]
Generated Node #3: [2, 18] from Operation: 72/4=18
Current State: 20:[2, 18], Operations: ['32-28=4', '72/4=18']
Exploring Operation: 2+18=20, Resulting Numbers: [20]
20,20 equal: Goal Reached
| 4 |
[
77,
3,
58,
67
] | 65 | [
"77-3=74",
"67-58=9",
"74-9=65"
] | Current State: 65:[77, 3, 58, 67], Operations: []
Exploring Operation: 77-3=74, Resulting Numbers: [58, 67, 74]
Generated Node #2: [58, 67, 74] from Operation: 77-3=74
Current State: 65:[58, 67, 74], Operations: ['77-3=74']
Exploring Operation: 67-58=9, Resulting Numbers: [74, 9]
Generated Node #3: [74, 9] from Operation: 67-58=9
Current State: 65:[74, 9], Operations: ['77-3=74', '67-58=9']
Exploring Operation: 74-9=65, Resulting Numbers: [65]
65,65 equal: Goal Reached
| 4 |
[
48,
3,
11,
12
] | 29 | [
"48/12=4",
"3*11=33",
"33-4=29"
] | Current State: 29:[48, 3, 11, 12], Operations: []
Exploring Operation: 48/12=4, Resulting Numbers: [3, 11, 4]
Generated Node #2: [3, 11, 4] from Operation: 48/12=4
Current State: 29:[3, 11, 4], Operations: ['48/12=4']
Exploring Operation: 3*11=33, Resulting Numbers: [4, 33]
Generated Node #3: [4, 33] from Operation: 3*11=33
Current State: 29:[4, 33], Operations: ['48/12=4', '3*11=33']
Exploring Operation: 33-4=29, Resulting Numbers: [29]
29,29 equal: Goal Reached
| 4 |
[
18,
38,
38,
62
] | 79 | [
"18+62=80",
"38/38=1",
"80-1=79"
] | Current State: 79:[18, 38, 38, 62], Operations: []
Exploring Operation: 18+62=80, Resulting Numbers: [38, 38, 80]
Generated Node #2: [38, 38, 80] from Operation: 18+62=80
Current State: 79:[38, 38, 80], Operations: ['18+62=80']
Exploring Operation: 38/38=1, Resulting Numbers: [80, 1]
Generated Node #3: [80, 1] from Operation: 38/38=1
Current State: 79:[80, 1], Operations: ['18+62=80', '38/38=1']
Exploring Operation: 80-1=79, Resulting Numbers: [79]
79,79 equal: Goal Reached
| 4 |
[
73,
87,
75,
22
] | 83 | [
"87-73=14",
"75+22=97",
"97-14=83"
] | Current State: 83:[73, 87, 75, 22], Operations: []
Exploring Operation: 87-73=14, Resulting Numbers: [75, 22, 14]
Generated Node #2: [75, 22, 14] from Operation: 87-73=14
Current State: 83:[75, 22, 14], Operations: ['87-73=14']
Exploring Operation: 75+22=97, Resulting Numbers: [14, 97]
Generated Node #3: [14, 97] from Operation: 75+22=97
Current State: 83:[14, 97], Operations: ['87-73=14', '75+22=97']
Exploring Operation: 97-14=83, Resulting Numbers: [83]
83,83 equal: Goal Reached
| 4 |
[
78,
2,
1,
75
] | 53 | [
"2+1=3",
"75/3=25",
"78-25=53"
] | Current State: 53:[78, 2, 1, 75], Operations: []
Exploring Operation: 2+1=3, Resulting Numbers: [78, 75, 3]
Generated Node #2: [78, 75, 3] from Operation: 2+1=3
Current State: 53:[78, 75, 3], Operations: ['2+1=3']
Exploring Operation: 75/3=25, Resulting Numbers: [78, 25]
Generated Node #3: [78, 25] from Operation: 75/3=25
Current State: 53:[78, 25], Operations: ['2+1=3', '75/3=25']
Exploring Operation: 78-25=53, Resulting Numbers: [53]
53,53 equal: Goal Reached
| 4 |
[
12,
21,
12,
46
] | 77 | [
"12*12=144",
"21+46=67",
"144-67=77"
] | Current State: 77:[12, 21, 12, 46], Operations: []
Exploring Operation: 12*12=144, Resulting Numbers: [21, 46, 144]
Generated Node #2: [21, 46, 144] from Operation: 12*12=144
Current State: 77:[21, 46, 144], Operations: ['12*12=144']
Exploring Operation: 21+46=67, Resulting Numbers: [144, 67]
Generated Node #3: [144, 67] from Operation: 21+46=67
Current State: 77:[144, 67], Operations: ['12*12=144', '21+46=67']
Exploring Operation: 144-67=77, Resulting Numbers: [77]
77,77 equal: Goal Reached
| 4 |
[
16,
42,
51,
56
] | 88 | [
"51-42=9",
"16*9=144",
"144-56=88"
] | Current State: 88:[16, 42, 51, 56], Operations: []
Exploring Operation: 51-42=9, Resulting Numbers: [16, 56, 9]
Generated Node #2: [16, 56, 9] from Operation: 51-42=9
Current State: 88:[16, 56, 9], Operations: ['51-42=9']
Exploring Operation: 16*9=144, Resulting Numbers: [56, 144]
Generated Node #3: [56, 144] from Operation: 16*9=144
Current State: 88:[56, 144], Operations: ['51-42=9', '16*9=144']
Exploring Operation: 144-56=88, Resulting Numbers: [88]
88,88 equal: Goal Reached
| 4 |
[
56,
14,
85,
7
] | 95 | [
"56+14=70",
"70/7=10",
"85+10=95"
] | Current State: 95:[56, 14, 85, 7], Operations: []
Exploring Operation: 56+14=70, Resulting Numbers: [85, 7, 70]
Generated Node #2: [85, 7, 70] from Operation: 56+14=70
Current State: 95:[85, 7, 70], Operations: ['56+14=70']
Exploring Operation: 70/7=10, Resulting Numbers: [85, 10]
Generated Node #3: [85, 10] from Operation: 70/7=10
Current State: 95:[85, 10], Operations: ['56+14=70', '70/7=10']
Exploring Operation: 85+10=95, Resulting Numbers: [95]
95,95 equal: Goal Reached
| 4 |
[
19,
51,
2,
15
] | 31 | [
"51-19=32",
"32/2=16",
"15+16=31"
] | Current State: 31:[19, 51, 2, 15], Operations: []
Exploring Operation: 51-19=32, Resulting Numbers: [2, 15, 32]
Generated Node #2: [2, 15, 32] from Operation: 51-19=32
Current State: 31:[2, 15, 32], Operations: ['51-19=32']
Exploring Operation: 32/2=16, Resulting Numbers: [15, 16]
Generated Node #3: [15, 16] from Operation: 32/2=16
Current State: 31:[15, 16], Operations: ['51-19=32', '32/2=16']
Exploring Operation: 15+16=31, Resulting Numbers: [31]
31,31 equal: Goal Reached
| 4 |
[
12,
6,
76,
89
] | 59 | [
"12*6=72",
"89-76=13",
"72-13=59"
] | Current State: 59:[12, 6, 76, 89], Operations: []
Exploring Operation: 12*6=72, Resulting Numbers: [76, 89, 72]
Generated Node #2: [76, 89, 72] from Operation: 12*6=72
Current State: 59:[76, 89, 72], Operations: ['12*6=72']
Exploring Operation: 89-76=13, Resulting Numbers: [72, 13]
Generated Node #3: [72, 13] from Operation: 89-76=13
Current State: 59:[72, 13], Operations: ['12*6=72', '89-76=13']
Exploring Operation: 72-13=59, Resulting Numbers: [59]
59,59 equal: Goal Reached
| 4 |
[
33,
64,
14,
99
] | 14 | [
"33+64=97",
"99+97=196",
"196/14=14"
] | Current State: 14:[33, 64, 14, 99], Operations: []
Exploring Operation: 33+64=97, Resulting Numbers: [14, 99, 97]
Generated Node #2: [14, 99, 97] from Operation: 33+64=97
Current State: 14:[14, 99, 97], Operations: ['33+64=97']
Exploring Operation: 99+97=196, Resulting Numbers: [14, 196]
Generated Node #3: [14, 196] from Operation: 99+97=196
Current State: 14:[14, 196], Operations: ['33+64=97', '99+97=196']
Exploring Operation: 196/14=14, Resulting Numbers: [14]
14,14 equal: Goal Reached
| 4 |
[
29,
97,
80,
55
] | 93 | [
"97-29=68",
"80-55=25",
"68+25=93"
] | Current State: 93:[29, 97, 80, 55], Operations: []
Exploring Operation: 97-29=68, Resulting Numbers: [80, 55, 68]
Generated Node #2: [80, 55, 68] from Operation: 97-29=68
Current State: 93:[80, 55, 68], Operations: ['97-29=68']
Exploring Operation: 80-55=25, Resulting Numbers: [68, 25]
Generated Node #3: [68, 25] from Operation: 80-55=25
Current State: 93:[68, 25], Operations: ['97-29=68', '80-55=25']
Exploring Operation: 68+25=93, Resulting Numbers: [93]
93,93 equal: Goal Reached
| 4 |
[
39,
12,
45,
49
] | 42 | [
"39+45=84",
"84/12=7",
"49-7=42"
] | Current State: 42:[39, 12, 45, 49], Operations: []
Exploring Operation: 39+45=84, Resulting Numbers: [12, 49, 84]
Generated Node #2: [12, 49, 84] from Operation: 39+45=84
Current State: 42:[12, 49, 84], Operations: ['39+45=84']
Exploring Operation: 84/12=7, Resulting Numbers: [49, 7]
Generated Node #3: [49, 7] from Operation: 84/12=7
Current State: 42:[49, 7], Operations: ['39+45=84', '84/12=7']
Exploring Operation: 49-7=42, Resulting Numbers: [42]
42,42 equal: Goal Reached
| 4 |
[
46,
28,
53,
55
] | 60 | [
"55-53=2",
"28/2=14",
"46+14=60"
] | Current State: 60:[46, 28, 53, 55], Operations: []
Exploring Operation: 55-53=2, Resulting Numbers: [46, 28, 2]
Generated Node #2: [46, 28, 2] from Operation: 55-53=2
Current State: 60:[46, 28, 2], Operations: ['55-53=2']
Exploring Operation: 28/2=14, Resulting Numbers: [46, 14]
Generated Node #3: [46, 14] from Operation: 28/2=14
Current State: 60:[46, 14], Operations: ['55-53=2', '28/2=14']
Exploring Operation: 46+14=60, Resulting Numbers: [60]
60,60 equal: Goal Reached
| 4 |
[
77,
86,
58,
9
] | 93 | [
"86+58=144",
"144/9=16",
"77+16=93"
] | Current State: 93:[77, 86, 58, 9], Operations: []
Exploring Operation: 86+58=144, Resulting Numbers: [77, 9, 144]
Generated Node #2: [77, 9, 144] from Operation: 86+58=144
Current State: 93:[77, 9, 144], Operations: ['86+58=144']
Exploring Operation: 144/9=16, Resulting Numbers: [77, 16]
Generated Node #3: [77, 16] from Operation: 144/9=16
Current State: 93:[77, 16], Operations: ['86+58=144', '144/9=16']
Exploring Operation: 77+16=93, Resulting Numbers: [93]
93,93 equal: Goal Reached
| 4 |
[
49,
9,
9,
31
] | 18 | [
"49+9=58",
"9+31=40",
"58-40=18"
] | Current State: 18:[49, 9, 9, 31], Operations: []
Exploring Operation: 49+9=58, Resulting Numbers: [31, 58]
Generated Node #2: [31, 58] from Operation: 49+9=58
Current State: 18:[31, 58], Operations: ['49+9=58']
Exploring Operation: 9+31=40, Resulting Numbers: [58, 40]
Generated Node #3: [58, 40] from Operation: 9+31=40
Current State: 18:[58, 40], Operations: ['49+9=58', '9+31=40']
Exploring Operation: 58-40=18, Resulting Numbers: [18]
18,18 equal: Goal Reached
| 4 |
[
97,
46,
92,
46
] | 49 | [
"97*46=4462",
"46+4462=4508",
"4508/92=49"
] | Current State: 49:[97, 46, 92, 46], Operations: []
Exploring Operation: 97*46=4462, Resulting Numbers: [92, 4462]
Generated Node #2: [92, 4462] from Operation: 97*46=4462
Current State: 49:[92, 4462], Operations: ['97*46=4462']
Exploring Operation: 46+4462=4508, Resulting Numbers: [92, 4508]
Generated Node #3: [92, 4508] from Operation: 46+4462=4508
Current State: 49:[92, 4508], Operations: ['97*46=4462', '46+4462=4508']
Exploring Operation: 4508/92=49, Resulting Numbers: [49]
49,49 equal: Goal Reached
| 4 |
[
71,
45,
84,
13
] | 71 | [
"71-45=26",
"84+13=97",
"97-26=71"
] | Current State: 71:[71, 45, 84, 13], Operations: []
Exploring Operation: 71-45=26, Resulting Numbers: [84, 13, 26]
Generated Node #2: [84, 13, 26] from Operation: 71-45=26
Current State: 71:[84, 13, 26], Operations: ['71-45=26']
Exploring Operation: 84+13=97, Resulting Numbers: [26, 97]
Generated Node #3: [26, 97] from Operation: 84+13=97
Current State: 71:[26, 97], Operations: ['71-45=26', '84+13=97']
Exploring Operation: 97-26=71, Resulting Numbers: [71]
71,71 equal: Goal Reached
| 4 |
[
9,
84,
3,
2
] | 96 | [
"9-3=6",
"2*6=12",
"84+12=96"
] | Current State: 96:[9, 84, 3, 2], Operations: []
Exploring Operation: 9-3=6, Resulting Numbers: [84, 2, 6]
Generated Node #2: [84, 2, 6] from Operation: 9-3=6
Current State: 96:[84, 2, 6], Operations: ['9-3=6']
Exploring Operation: 2*6=12, Resulting Numbers: [84, 12]
Generated Node #3: [84, 12] from Operation: 2*6=12
Current State: 96:[84, 12], Operations: ['9-3=6', '2*6=12']
Exploring Operation: 84+12=96, Resulting Numbers: [96]
96,96 equal: Goal Reached
| 4 |
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