nums listlengths 4 4 | target int64 10 100 | solution listlengths 3 3 | optimal_path stringlengths 282 529 | start_size int64 4 4 |
|---|---|---|---|---|
[
13,
92,
10,
99
] | 95 | [
"13+10=23",
"92/23=4",
"99-4=95"
] | Current State: 95:[13, 92, 10, 99], Operations: []
Exploring Operation: 13+10=23, Resulting Numbers: [92, 99, 23]
Generated Node #2: [92, 99, 23] from Operation: 13+10=23
Current State: 95:[92, 99, 23], Operations: ['13+10=23']
Exploring Operation: 92/23=4, Resulting Numbers: [99, 4]
Generated Node #3: [99, 4] from Operation: 92/23=4
Current State: 95:[99, 4], Operations: ['13+10=23', '92/23=4']
Exploring Operation: 99-4=95, Resulting Numbers: [95]
95,95 equal: Goal Reached
| 4 |
[
19,
40,
27,
73
] | 11 | [
"19*27=513",
"513-73=440",
"440/40=11"
] | Current State: 11:[19, 40, 27, 73], Operations: []
Exploring Operation: 19*27=513, Resulting Numbers: [40, 73, 513]
Generated Node #2: [40, 73, 513] from Operation: 19*27=513
Current State: 11:[40, 73, 513], Operations: ['19*27=513']
Exploring Operation: 513-73=440, Resulting Numbers: [40, 440]
Generated Node #3: [40, 440] from Operation: 513-73=440
Current State: 11:[40, 440], Operations: ['19*27=513', '513-73=440']
Exploring Operation: 440/40=11, Resulting Numbers: [11]
11,11 equal: Goal Reached
| 4 |
[
76,
43,
22,
8
] | 19 | [
"76-43=33",
"22-8=14",
"33-14=19"
] | Current State: 19:[76, 43, 22, 8], Operations: []
Exploring Operation: 76-43=33, Resulting Numbers: [22, 8, 33]
Generated Node #2: [22, 8, 33] from Operation: 76-43=33
Current State: 19:[22, 8, 33], Operations: ['76-43=33']
Exploring Operation: 22-8=14, Resulting Numbers: [33, 14]
Generated Node #3: [33, 14] from Operation: 22-8=14
Current State: 19:[33, 14], Operations: ['76-43=33', '22-8=14']
Exploring Operation: 33-14=19, Resulting Numbers: [19]
19,19 equal: Goal Reached
| 4 |
[
93,
5,
2,
91
] | 19 | [
"93*2=186",
"186-91=95",
"95/5=19"
] | Current State: 19:[93, 5, 2, 91], Operations: []
Exploring Operation: 93*2=186, Resulting Numbers: [5, 91, 186]
Generated Node #2: [5, 91, 186] from Operation: 93*2=186
Current State: 19:[5, 91, 186], Operations: ['93*2=186']
Exploring Operation: 186-91=95, Resulting Numbers: [5, 95]
Generated Node #3: [5, 95] from Operation: 186-91=95
Current State: 19:[5, 95], Operations: ['93*2=186', '186-91=95']
Exploring Operation: 95/5=19, Resulting Numbers: [19]
19,19 equal: Goal Reached
| 4 |
[
19,
75,
97,
16
] | 13 | [
"19+75=94",
"97-16=81",
"94-81=13"
] | Current State: 13:[19, 75, 97, 16], Operations: []
Exploring Operation: 19+75=94, Resulting Numbers: [97, 16, 94]
Generated Node #2: [97, 16, 94] from Operation: 19+75=94
Current State: 13:[97, 16, 94], Operations: ['19+75=94']
Exploring Operation: 97-16=81, Resulting Numbers: [94, 81]
Generated Node #3: [94, 81] from Operation: 97-16=81
Current State: 13:[94, 81], Operations: ['19+75=94', '97-16=81']
Exploring Operation: 94-81=13, Resulting Numbers: [13]
13,13 equal: Goal Reached
| 4 |
[
26,
7,
53,
95
] | 32 | [
"95-53=42",
"42/7=6",
"26+6=32"
] | Current State: 32:[26, 7, 53, 95], Operations: []
Exploring Operation: 95-53=42, Resulting Numbers: [26, 7, 42]
Generated Node #2: [26, 7, 42] from Operation: 95-53=42
Current State: 32:[26, 7, 42], Operations: ['95-53=42']
Exploring Operation: 42/7=6, Resulting Numbers: [26, 6]
Generated Node #3: [26, 6] from Operation: 42/7=6
Current State: 32:[26, 6], Operations: ['95-53=42', '42/7=6']
Exploring Operation: 26+6=32, Resulting Numbers: [32]
32,32 equal: Goal Reached
| 4 |
[
2,
45,
12,
67
] | 77 | [
"2*67=134",
"45+12=57",
"134-57=77"
] | Current State: 77:[2, 45, 12, 67], Operations: []
Exploring Operation: 2*67=134, Resulting Numbers: [45, 12, 134]
Generated Node #2: [45, 12, 134] from Operation: 2*67=134
Current State: 77:[45, 12, 134], Operations: ['2*67=134']
Exploring Operation: 45+12=57, Resulting Numbers: [134, 57]
Generated Node #3: [134, 57] from Operation: 45+12=57
Current State: 77:[134, 57], Operations: ['2*67=134', '45+12=57']
Exploring Operation: 134-57=77, Resulting Numbers: [77]
77,77 equal: Goal Reached
| 4 |
[
47,
49,
62,
73
] | 85 | [
"47+49=96",
"73-62=11",
"96-11=85"
] | Current State: 85:[47, 49, 62, 73], Operations: []
Exploring Operation: 47+49=96, Resulting Numbers: [62, 73, 96]
Generated Node #2: [62, 73, 96] from Operation: 47+49=96
Current State: 85:[62, 73, 96], Operations: ['47+49=96']
Exploring Operation: 73-62=11, Resulting Numbers: [96, 11]
Generated Node #3: [96, 11] from Operation: 73-62=11
Current State: 85:[96, 11], Operations: ['47+49=96', '73-62=11']
Exploring Operation: 96-11=85, Resulting Numbers: [85]
85,85 equal: Goal Reached
| 4 |
[
40,
60,
83,
20
] | 41 | [
"40+83=123",
"60/20=3",
"123/3=41"
] | Current State: 41:[40, 60, 83, 20], Operations: []
Exploring Operation: 40+83=123, Resulting Numbers: [60, 20, 123]
Generated Node #2: [60, 20, 123] from Operation: 40+83=123
Current State: 41:[60, 20, 123], Operations: ['40+83=123']
Exploring Operation: 60/20=3, Resulting Numbers: [123, 3]
Generated Node #3: [123, 3] from Operation: 60/20=3
Current State: 41:[123, 3], Operations: ['40+83=123', '60/20=3']
Exploring Operation: 123/3=41, Resulting Numbers: [41]
41,41 equal: Goal Reached
| 4 |
[
66,
18,
58,
50
] | 20 | [
"66+50=116",
"116/58=2",
"18+2=20"
] | Current State: 20:[66, 18, 58, 50], Operations: []
Exploring Operation: 66+50=116, Resulting Numbers: [18, 58, 116]
Generated Node #2: [18, 58, 116] from Operation: 66+50=116
Current State: 20:[18, 58, 116], Operations: ['66+50=116']
Exploring Operation: 116/58=2, Resulting Numbers: [18, 2]
Generated Node #3: [18, 2] from Operation: 116/58=2
Current State: 20:[18, 2], Operations: ['66+50=116', '116/58=2']
Exploring Operation: 18+2=20, Resulting Numbers: [20]
20,20 equal: Goal Reached
| 4 |
[
73,
47,
94,
73
] | 47 | [
"73+47=120",
"94+73=167",
"167-120=47"
] | Current State: 47:[73, 47, 94, 73], Operations: []
Exploring Operation: 73+47=120, Resulting Numbers: [94, 120]
Generated Node #2: [94, 120] from Operation: 73+47=120
Current State: 47:[94, 120], Operations: ['73+47=120']
Exploring Operation: 94+73=167, Resulting Numbers: [120, 167]
Generated Node #3: [120, 167] from Operation: 94+73=167
Current State: 47:[120, 167], Operations: ['73+47=120', '94+73=167']
Exploring Operation: 167-120=47, Resulting Numbers: [47]
47,47 equal: Goal Reached
| 4 |
[
68,
46,
64,
75
] | 25 | [
"68+46=114",
"64+75=139",
"139-114=25"
] | Current State: 25:[68, 46, 64, 75], Operations: []
Exploring Operation: 68+46=114, Resulting Numbers: [64, 75, 114]
Generated Node #2: [64, 75, 114] from Operation: 68+46=114
Current State: 25:[64, 75, 114], Operations: ['68+46=114']
Exploring Operation: 64+75=139, Resulting Numbers: [114, 139]
Generated Node #3: [114, 139] from Operation: 64+75=139
Current State: 25:[114, 139], Operations: ['68+46=114', '64+75=139']
Exploring Operation: 139-114=25, Resulting Numbers: [25]
25,25 equal: Goal Reached
| 4 |
[
80,
5,
8,
46
] | 42 | [
"80+46=126",
"8-5=3",
"126/3=42"
] | Current State: 42:[80, 5, 8, 46], Operations: []
Exploring Operation: 80+46=126, Resulting Numbers: [5, 8, 126]
Generated Node #2: [5, 8, 126] from Operation: 80+46=126
Current State: 42:[5, 8, 126], Operations: ['80+46=126']
Exploring Operation: 8-5=3, Resulting Numbers: [126, 3]
Generated Node #3: [126, 3] from Operation: 8-5=3
Current State: 42:[126, 3], Operations: ['80+46=126', '8-5=3']
Exploring Operation: 126/3=42, Resulting Numbers: [42]
42,42 equal: Goal Reached
| 4 |
[
64,
68,
60,
69
] | 67 | [
"68+60=128",
"128/64=2",
"69-2=67"
] | Current State: 67:[64, 68, 60, 69], Operations: []
Exploring Operation: 68+60=128, Resulting Numbers: [64, 69, 128]
Generated Node #2: [64, 69, 128] from Operation: 68+60=128
Current State: 67:[64, 69, 128], Operations: ['68+60=128']
Exploring Operation: 128/64=2, Resulting Numbers: [69, 2]
Generated Node #3: [69, 2] from Operation: 128/64=2
Current State: 67:[69, 2], Operations: ['68+60=128', '128/64=2']
Exploring Operation: 69-2=67, Resulting Numbers: [67]
67,67 equal: Goal Reached
| 4 |
[
36,
72,
6,
96
] | 92 | [
"36+72=108",
"96/6=16",
"108-16=92"
] | Current State: 92:[36, 72, 6, 96], Operations: []
Exploring Operation: 36+72=108, Resulting Numbers: [6, 96, 108]
Generated Node #2: [6, 96, 108] from Operation: 36+72=108
Current State: 92:[6, 96, 108], Operations: ['36+72=108']
Exploring Operation: 96/6=16, Resulting Numbers: [108, 16]
Generated Node #3: [108, 16] from Operation: 96/6=16
Current State: 92:[108, 16], Operations: ['36+72=108', '96/6=16']
Exploring Operation: 108-16=92, Resulting Numbers: [92]
92,92 equal: Goal Reached
| 4 |
[
69,
4,
40,
5
] | 84 | [
"69+5=74",
"40/4=10",
"74+10=84"
] | Current State: 84:[69, 4, 40, 5], Operations: []
Exploring Operation: 69+5=74, Resulting Numbers: [4, 40, 74]
Generated Node #2: [4, 40, 74] from Operation: 69+5=74
Current State: 84:[4, 40, 74], Operations: ['69+5=74']
Exploring Operation: 40/4=10, Resulting Numbers: [74, 10]
Generated Node #3: [74, 10] from Operation: 40/4=10
Current State: 84:[74, 10], Operations: ['69+5=74', '40/4=10']
Exploring Operation: 74+10=84, Resulting Numbers: [84]
84,84 equal: Goal Reached
| 4 |
[
39,
33,
94,
81
] | 36 | [
"94-81=13",
"39/13=3",
"33+3=36"
] | Current State: 36:[39, 33, 94, 81], Operations: []
Exploring Operation: 94-81=13, Resulting Numbers: [39, 33, 13]
Generated Node #2: [39, 33, 13] from Operation: 94-81=13
Current State: 36:[39, 33, 13], Operations: ['94-81=13']
Exploring Operation: 39/13=3, Resulting Numbers: [33, 3]
Generated Node #3: [33, 3] from Operation: 39/13=3
Current State: 36:[33, 3], Operations: ['94-81=13', '39/13=3']
Exploring Operation: 33+3=36, Resulting Numbers: [36]
36,36 equal: Goal Reached
| 4 |
[
47,
84,
29,
27
] | 56 | [
"47-29=18",
"84*18=1512",
"1512/27=56"
] | Current State: 56:[47, 84, 29, 27], Operations: []
Exploring Operation: 47-29=18, Resulting Numbers: [84, 27, 18]
Generated Node #2: [84, 27, 18] from Operation: 47-29=18
Current State: 56:[84, 27, 18], Operations: ['47-29=18']
Exploring Operation: 84*18=1512, Resulting Numbers: [27, 1512]
Generated Node #3: [27, 1512] from Operation: 84*18=1512
Current State: 56:[27, 1512], Operations: ['47-29=18', '84*18=1512']
Exploring Operation: 1512/27=56, Resulting Numbers: [56]
56,56 equal: Goal Reached
| 4 |
[
89,
67,
39,
23
] | 39 | [
"89-67=22",
"23-22=1",
"39*1=39"
] | Current State: 39:[89, 67, 39, 23], Operations: []
Exploring Operation: 89-67=22, Resulting Numbers: [39, 23, 22]
Generated Node #2: [39, 23, 22] from Operation: 89-67=22
Current State: 39:[39, 23, 22], Operations: ['89-67=22']
Exploring Operation: 23-22=1, Resulting Numbers: [39, 1]
Generated Node #3: [39, 1] from Operation: 23-22=1
Current State: 39:[39, 1], Operations: ['89-67=22', '23-22=1']
Exploring Operation: 39*1=39, Resulting Numbers: [39]
39,39 equal: Goal Reached
| 4 |
[
47,
75,
44,
12
] | 13 | [
"47-44=3",
"75/3=25",
"25-12=13"
] | Current State: 13:[47, 75, 44, 12], Operations: []
Exploring Operation: 47-44=3, Resulting Numbers: [75, 12, 3]
Generated Node #2: [75, 12, 3] from Operation: 47-44=3
Current State: 13:[75, 12, 3], Operations: ['47-44=3']
Exploring Operation: 75/3=25, Resulting Numbers: [12, 25]
Generated Node #3: [12, 25] from Operation: 75/3=25
Current State: 13:[12, 25], Operations: ['47-44=3', '75/3=25']
Exploring Operation: 25-12=13, Resulting Numbers: [13]
13,13 equal: Goal Reached
| 4 |
[
88,
2,
7,
77
] | 29 | [
"88-77=11",
"2*11=22",
"7+22=29"
] | Current State: 29:[88, 2, 7, 77], Operations: []
Exploring Operation: 88-77=11, Resulting Numbers: [2, 7, 11]
Generated Node #2: [2, 7, 11] from Operation: 88-77=11
Current State: 29:[2, 7, 11], Operations: ['88-77=11']
Exploring Operation: 2*11=22, Resulting Numbers: [7, 22]
Generated Node #3: [7, 22] from Operation: 2*11=22
Current State: 29:[7, 22], Operations: ['88-77=11', '2*11=22']
Exploring Operation: 7+22=29, Resulting Numbers: [29]
29,29 equal: Goal Reached
| 4 |
[
95,
63,
47,
79
] | 45 | [
"95+63=158",
"158/79=2",
"47-2=45"
] | Current State: 45:[95, 63, 47, 79], Operations: []
Exploring Operation: 95+63=158, Resulting Numbers: [47, 79, 158]
Generated Node #2: [47, 79, 158] from Operation: 95+63=158
Current State: 45:[47, 79, 158], Operations: ['95+63=158']
Exploring Operation: 158/79=2, Resulting Numbers: [47, 2]
Generated Node #3: [47, 2] from Operation: 158/79=2
Current State: 45:[47, 2], Operations: ['95+63=158', '158/79=2']
Exploring Operation: 47-2=45, Resulting Numbers: [45]
45,45 equal: Goal Reached
| 4 |
[
48,
79,
11,
3
] | 17 | [
"79-48=31",
"11+3=14",
"31-14=17"
] | Current State: 17:[48, 79, 11, 3], Operations: []
Exploring Operation: 79-48=31, Resulting Numbers: [11, 3, 31]
Generated Node #2: [11, 3, 31] from Operation: 79-48=31
Current State: 17:[11, 3, 31], Operations: ['79-48=31']
Exploring Operation: 11+3=14, Resulting Numbers: [31, 14]
Generated Node #3: [31, 14] from Operation: 11+3=14
Current State: 17:[31, 14], Operations: ['79-48=31', '11+3=14']
Exploring Operation: 31-14=17, Resulting Numbers: [17]
17,17 equal: Goal Reached
| 4 |
[
35,
69,
30,
50
] | 67 | [
"50-35=15",
"30/15=2",
"69-2=67"
] | Current State: 67:[35, 69, 30, 50], Operations: []
Exploring Operation: 50-35=15, Resulting Numbers: [69, 30, 15]
Generated Node #2: [69, 30, 15] from Operation: 50-35=15
Current State: 67:[69, 30, 15], Operations: ['50-35=15']
Exploring Operation: 30/15=2, Resulting Numbers: [69, 2]
Generated Node #3: [69, 2] from Operation: 30/15=2
Current State: 67:[69, 2], Operations: ['50-35=15', '30/15=2']
Exploring Operation: 69-2=67, Resulting Numbers: [67]
67,67 equal: Goal Reached
| 4 |
[
37,
32,
19,
24
] | 42 | [
"37+19=56",
"24*56=1344",
"1344/32=42"
] | Current State: 42:[37, 32, 19, 24], Operations: []
Exploring Operation: 37+19=56, Resulting Numbers: [32, 24, 56]
Generated Node #2: [32, 24, 56] from Operation: 37+19=56
Current State: 42:[32, 24, 56], Operations: ['37+19=56']
Exploring Operation: 24*56=1344, Resulting Numbers: [32, 1344]
Generated Node #3: [32, 1344] from Operation: 24*56=1344
Current State: 42:[32, 1344], Operations: ['37+19=56', '24*56=1344']
Exploring Operation: 1344/32=42, Resulting Numbers: [42]
42,42 equal: Goal Reached
| 4 |
[
54,
94,
89,
86
] | 82 | [
"89*86=7654",
"54+7654=7708",
"7708/94=82"
] | Current State: 82:[54, 94, 89, 86], Operations: []
Exploring Operation: 89*86=7654, Resulting Numbers: [54, 94, 7654]
Generated Node #2: [54, 94, 7654] from Operation: 89*86=7654
Current State: 82:[54, 94, 7654], Operations: ['89*86=7654']
Exploring Operation: 54+7654=7708, Resulting Numbers: [94, 7708]
Generated Node #3: [94, 7708] from Operation: 54+7654=7708
Current State: 82:[94, 7708], Operations: ['89*86=7654', '54+7654=7708']
Exploring Operation: 7708/94=82, Resulting Numbers: [82]
82,82 equal: Goal Reached
| 4 |
[
17,
30,
85,
24
] | 90 | [
"85/17=5",
"24*5=120",
"120-30=90"
] | Current State: 90:[17, 30, 85, 24], Operations: []
Exploring Operation: 85/17=5, Resulting Numbers: [30, 24, 5]
Generated Node #2: [30, 24, 5] from Operation: 85/17=5
Current State: 90:[30, 24, 5], Operations: ['85/17=5']
Exploring Operation: 24*5=120, Resulting Numbers: [30, 120]
Generated Node #3: [30, 120] from Operation: 24*5=120
Current State: 90:[30, 120], Operations: ['85/17=5', '24*5=120']
Exploring Operation: 120-30=90, Resulting Numbers: [90]
90,90 equal: Goal Reached
| 4 |
[
10,
3,
8,
82
] | 60 | [
"10*3=30",
"8+82=90",
"90-30=60"
] | Current State: 60:[10, 3, 8, 82], Operations: []
Exploring Operation: 10*3=30, Resulting Numbers: [8, 82, 30]
Generated Node #2: [8, 82, 30] from Operation: 10*3=30
Current State: 60:[8, 82, 30], Operations: ['10*3=30']
Exploring Operation: 8+82=90, Resulting Numbers: [30, 90]
Generated Node #3: [30, 90] from Operation: 8+82=90
Current State: 60:[30, 90], Operations: ['10*3=30', '8+82=90']
Exploring Operation: 90-30=60, Resulting Numbers: [60]
60,60 equal: Goal Reached
| 4 |
[
20,
49,
72,
29
] | 87 | [
"20+49=69",
"72-69=3",
"29*3=87"
] | Current State: 87:[20, 49, 72, 29], Operations: []
Exploring Operation: 20+49=69, Resulting Numbers: [72, 29, 69]
Generated Node #2: [72, 29, 69] from Operation: 20+49=69
Current State: 87:[72, 29, 69], Operations: ['20+49=69']
Exploring Operation: 72-69=3, Resulting Numbers: [29, 3]
Generated Node #3: [29, 3] from Operation: 72-69=3
Current State: 87:[29, 3], Operations: ['20+49=69', '72-69=3']
Exploring Operation: 29*3=87, Resulting Numbers: [87]
87,87 equal: Goal Reached
| 4 |
[
3,
80,
30,
52
] | 55 | [
"80-3=77",
"52-30=22",
"77-22=55"
] | Current State: 55:[3, 80, 30, 52], Operations: []
Exploring Operation: 80-3=77, Resulting Numbers: [30, 52, 77]
Generated Node #2: [30, 52, 77] from Operation: 80-3=77
Current State: 55:[30, 52, 77], Operations: ['80-3=77']
Exploring Operation: 52-30=22, Resulting Numbers: [77, 22]
Generated Node #3: [77, 22] from Operation: 52-30=22
Current State: 55:[77, 22], Operations: ['80-3=77', '52-30=22']
Exploring Operation: 77-22=55, Resulting Numbers: [55]
55,55 equal: Goal Reached
| 4 |
[
63,
63,
51,
30
] | 30 | [
"63-63=0",
"51*0=0",
"30+0=30"
] | Current State: 30:[63, 63, 51, 30], Operations: []
Exploring Operation: 63-63=0, Resulting Numbers: [51, 30, 0]
Generated Node #2: [51, 30, 0] from Operation: 63-63=0
Current State: 30:[51, 30, 0], Operations: ['63-63=0']
Exploring Operation: 51*0=0, Resulting Numbers: [30, 0]
Generated Node #3: [30, 0] from Operation: 51*0=0
Current State: 30:[30, 0], Operations: ['63-63=0', '51*0=0']
Exploring Operation: 30+0=30, Resulting Numbers: [30]
30,30 equal: Goal Reached
| 4 |
[
95,
81,
66,
81
] | 30 | [
"95-66=29",
"81/81=1",
"29+1=30"
] | Current State: 30:[95, 81, 66, 81], Operations: []
Exploring Operation: 95-66=29, Resulting Numbers: [81, 81, 29]
Generated Node #2: [81, 81, 29] from Operation: 95-66=29
Current State: 30:[81, 81, 29], Operations: ['95-66=29']
Exploring Operation: 81/81=1, Resulting Numbers: [29, 1]
Generated Node #3: [29, 1] from Operation: 81/81=1
Current State: 30:[29, 1], Operations: ['95-66=29', '81/81=1']
Exploring Operation: 29+1=30, Resulting Numbers: [30]
30,30 equal: Goal Reached
| 4 |
[
55,
73,
77,
68
] | 88 | [
"73-68=5",
"55/5=11",
"77+11=88"
] | Current State: 88:[55, 73, 77, 68], Operations: []
Exploring Operation: 73-68=5, Resulting Numbers: [55, 77, 5]
Generated Node #2: [55, 77, 5] from Operation: 73-68=5
Current State: 88:[55, 77, 5], Operations: ['73-68=5']
Exploring Operation: 55/5=11, Resulting Numbers: [77, 11]
Generated Node #3: [77, 11] from Operation: 55/5=11
Current State: 88:[77, 11], Operations: ['73-68=5', '55/5=11']
Exploring Operation: 77+11=88, Resulting Numbers: [88]
88,88 equal: Goal Reached
| 4 |
[
18,
96,
16,
2
] | 79 | [
"18+16=34",
"34/2=17",
"96-17=79"
] | Current State: 79:[18, 96, 16, 2], Operations: []
Exploring Operation: 18+16=34, Resulting Numbers: [96, 2, 34]
Generated Node #2: [96, 2, 34] from Operation: 18+16=34
Current State: 79:[96, 2, 34], Operations: ['18+16=34']
Exploring Operation: 34/2=17, Resulting Numbers: [96, 17]
Generated Node #3: [96, 17] from Operation: 34/2=17
Current State: 79:[96, 17], Operations: ['18+16=34', '34/2=17']
Exploring Operation: 96-17=79, Resulting Numbers: [79]
79,79 equal: Goal Reached
| 4 |
[
98,
59,
14,
70
] | 63 | [
"59-14=45",
"98*45=4410",
"4410/70=63"
] | Current State: 63:[98, 59, 14, 70], Operations: []
Exploring Operation: 59-14=45, Resulting Numbers: [98, 70, 45]
Generated Node #2: [98, 70, 45] from Operation: 59-14=45
Current State: 63:[98, 70, 45], Operations: ['59-14=45']
Exploring Operation: 98*45=4410, Resulting Numbers: [70, 4410]
Generated Node #3: [70, 4410] from Operation: 98*45=4410
Current State: 63:[70, 4410], Operations: ['59-14=45', '98*45=4410']
Exploring Operation: 4410/70=63, Resulting Numbers: [63]
63,63 equal: Goal Reached
| 4 |
[
67,
2,
39,
58
] | 69 | [
"67-58=9",
"2*39=78",
"78-9=69"
] | Current State: 69:[67, 2, 39, 58], Operations: []
Exploring Operation: 67-58=9, Resulting Numbers: [2, 39, 9]
Generated Node #2: [2, 39, 9] from Operation: 67-58=9
Current State: 69:[2, 39, 9], Operations: ['67-58=9']
Exploring Operation: 2*39=78, Resulting Numbers: [9, 78]
Generated Node #3: [9, 78] from Operation: 2*39=78
Current State: 69:[9, 78], Operations: ['67-58=9', '2*39=78']
Exploring Operation: 78-9=69, Resulting Numbers: [69]
69,69 equal: Goal Reached
| 4 |
[
5,
29,
40,
26
] | 99 | [
"40-26=14",
"5*14=70",
"29+70=99"
] | Current State: 99:[5, 29, 40, 26], Operations: []
Exploring Operation: 40-26=14, Resulting Numbers: [5, 29, 14]
Generated Node #2: [5, 29, 14] from Operation: 40-26=14
Current State: 99:[5, 29, 14], Operations: ['40-26=14']
Exploring Operation: 5*14=70, Resulting Numbers: [29, 70]
Generated Node #3: [29, 70] from Operation: 5*14=70
Current State: 99:[29, 70], Operations: ['40-26=14', '5*14=70']
Exploring Operation: 29+70=99, Resulting Numbers: [99]
99,99 equal: Goal Reached
| 4 |
[
3,
30,
87,
65
] | 84 | [
"87-30=57",
"57/3=19",
"65+19=84"
] | Current State: 84:[3, 30, 87, 65], Operations: []
Exploring Operation: 87-30=57, Resulting Numbers: [3, 65, 57]
Generated Node #2: [3, 65, 57] from Operation: 87-30=57
Current State: 84:[3, 65, 57], Operations: ['87-30=57']
Exploring Operation: 57/3=19, Resulting Numbers: [65, 19]
Generated Node #3: [65, 19] from Operation: 57/3=19
Current State: 84:[65, 19], Operations: ['87-30=57', '57/3=19']
Exploring Operation: 65+19=84, Resulting Numbers: [84]
84,84 equal: Goal Reached
| 4 |
[
66,
44,
65,
95
] | 51 | [
"66-65=1",
"95-44=51",
"1*51=51"
] | Current State: 51:[66, 44, 65, 95], Operations: []
Exploring Operation: 66-65=1, Resulting Numbers: [44, 95, 1]
Generated Node #2: [44, 95, 1] from Operation: 66-65=1
Current State: 51:[44, 95, 1], Operations: ['66-65=1']
Exploring Operation: 95-44=51, Resulting Numbers: [1, 51]
Generated Node #3: [1, 51] from Operation: 95-44=51
Current State: 51:[1, 51], Operations: ['66-65=1', '95-44=51']
Exploring Operation: 1*51=51, Resulting Numbers: [51]
51,51 equal: Goal Reached
| 4 |
[
33,
55,
87,
64
] | 66 | [
"33*64=2112",
"87-55=32",
"2112/32=66"
] | Current State: 66:[33, 55, 87, 64], Operations: []
Exploring Operation: 33*64=2112, Resulting Numbers: [55, 87, 2112]
Generated Node #2: [55, 87, 2112] from Operation: 33*64=2112
Current State: 66:[55, 87, 2112], Operations: ['33*64=2112']
Exploring Operation: 87-55=32, Resulting Numbers: [2112, 32]
Generated Node #3: [2112, 32] from Operation: 87-55=32
Current State: 66:[2112, 32], Operations: ['33*64=2112', '87-55=32']
Exploring Operation: 2112/32=66, Resulting Numbers: [66]
66,66 equal: Goal Reached
| 4 |
[
61,
7,
56,
21
] | 58 | [
"7+56=63",
"63/21=3",
"61-3=58"
] | Current State: 58:[61, 7, 56, 21], Operations: []
Exploring Operation: 7+56=63, Resulting Numbers: [61, 21, 63]
Generated Node #2: [61, 21, 63] from Operation: 7+56=63
Current State: 58:[61, 21, 63], Operations: ['7+56=63']
Exploring Operation: 63/21=3, Resulting Numbers: [61, 3]
Generated Node #3: [61, 3] from Operation: 63/21=3
Current State: 58:[61, 3], Operations: ['7+56=63', '63/21=3']
Exploring Operation: 61-3=58, Resulting Numbers: [58]
58,58 equal: Goal Reached
| 4 |
[
35,
97,
70,
95
] | 96 | [
"70/35=2",
"97+95=192",
"192/2=96"
] | Current State: 96:[35, 97, 70, 95], Operations: []
Exploring Operation: 70/35=2, Resulting Numbers: [97, 95, 2]
Generated Node #2: [97, 95, 2] from Operation: 70/35=2
Current State: 96:[97, 95, 2], Operations: ['70/35=2']
Exploring Operation: 97+95=192, Resulting Numbers: [2, 192]
Generated Node #3: [2, 192] from Operation: 97+95=192
Current State: 96:[2, 192], Operations: ['70/35=2', '97+95=192']
Exploring Operation: 192/2=96, Resulting Numbers: [96]
96,96 equal: Goal Reached
| 4 |
[
89,
50,
49,
31
] | 41 | [
"89-50=39",
"49+31=80",
"80-39=41"
] | Current State: 41:[89, 50, 49, 31], Operations: []
Exploring Operation: 89-50=39, Resulting Numbers: [49, 31, 39]
Generated Node #2: [49, 31, 39] from Operation: 89-50=39
Current State: 41:[49, 31, 39], Operations: ['89-50=39']
Exploring Operation: 49+31=80, Resulting Numbers: [39, 80]
Generated Node #3: [39, 80] from Operation: 49+31=80
Current State: 41:[39, 80], Operations: ['89-50=39', '49+31=80']
Exploring Operation: 80-39=41, Resulting Numbers: [41]
41,41 equal: Goal Reached
| 4 |
[
53,
2,
24,
94
] | 89 | [
"94-53=41",
"2*24=48",
"41+48=89"
] | Current State: 89:[53, 2, 24, 94], Operations: []
Exploring Operation: 94-53=41, Resulting Numbers: [2, 24, 41]
Generated Node #2: [2, 24, 41] from Operation: 94-53=41
Current State: 89:[2, 24, 41], Operations: ['94-53=41']
Exploring Operation: 2*24=48, Resulting Numbers: [41, 48]
Generated Node #3: [41, 48] from Operation: 2*24=48
Current State: 89:[41, 48], Operations: ['94-53=41', '2*24=48']
Exploring Operation: 41+48=89, Resulting Numbers: [89]
89,89 equal: Goal Reached
| 4 |
[
26,
34,
52,
1
] | 44 | [
"34-26=8",
"52*1=52",
"52-8=44"
] | Current State: 44:[26, 34, 52, 1], Operations: []
Exploring Operation: 34-26=8, Resulting Numbers: [52, 1, 8]
Generated Node #2: [52, 1, 8] from Operation: 34-26=8
Current State: 44:[52, 1, 8], Operations: ['34-26=8']
Exploring Operation: 52*1=52, Resulting Numbers: [8, 52]
Generated Node #3: [8, 52] from Operation: 52*1=52
Current State: 44:[8, 52], Operations: ['34-26=8', '52*1=52']
Exploring Operation: 52-8=44, Resulting Numbers: [44]
44,44 equal: Goal Reached
| 4 |
[
40,
79,
75,
82
] | 17 | [
"40+79=119",
"82-75=7",
"119/7=17"
] | Current State: 17:[40, 79, 75, 82], Operations: []
Exploring Operation: 40+79=119, Resulting Numbers: [75, 82, 119]
Generated Node #2: [75, 82, 119] from Operation: 40+79=119
Current State: 17:[75, 82, 119], Operations: ['40+79=119']
Exploring Operation: 82-75=7, Resulting Numbers: [119, 7]
Generated Node #3: [119, 7] from Operation: 82-75=7
Current State: 17:[119, 7], Operations: ['40+79=119', '82-75=7']
Exploring Operation: 119/7=17, Resulting Numbers: [17]
17,17 equal: Goal Reached
| 4 |
[
82,
48,
3,
50
] | 77 | [
"82+48=130",
"3+50=53",
"130-53=77"
] | Current State: 77:[82, 48, 3, 50], Operations: []
Exploring Operation: 82+48=130, Resulting Numbers: [3, 50, 130]
Generated Node #2: [3, 50, 130] from Operation: 82+48=130
Current State: 77:[3, 50, 130], Operations: ['82+48=130']
Exploring Operation: 3+50=53, Resulting Numbers: [130, 53]
Generated Node #3: [130, 53] from Operation: 3+50=53
Current State: 77:[130, 53], Operations: ['82+48=130', '3+50=53']
Exploring Operation: 130-53=77, Resulting Numbers: [77]
77,77 equal: Goal Reached
| 4 |
[
57,
2,
75,
70
] | 61 | [
"75-57=18",
"18/2=9",
"70-9=61"
] | Current State: 61:[57, 2, 75, 70], Operations: []
Exploring Operation: 75-57=18, Resulting Numbers: [2, 70, 18]
Generated Node #2: [2, 70, 18] from Operation: 75-57=18
Current State: 61:[2, 70, 18], Operations: ['75-57=18']
Exploring Operation: 18/2=9, Resulting Numbers: [70, 9]
Generated Node #3: [70, 9] from Operation: 18/2=9
Current State: 61:[70, 9], Operations: ['75-57=18', '18/2=9']
Exploring Operation: 70-9=61, Resulting Numbers: [61]
61,61 equal: Goal Reached
| 4 |
[
7,
2,
26,
84
] | 25 | [
"84-7=77",
"2*26=52",
"77-52=25"
] | Current State: 25:[7, 2, 26, 84], Operations: []
Exploring Operation: 84-7=77, Resulting Numbers: [2, 26, 77]
Generated Node #2: [2, 26, 77] from Operation: 84-7=77
Current State: 25:[2, 26, 77], Operations: ['84-7=77']
Exploring Operation: 2*26=52, Resulting Numbers: [77, 52]
Generated Node #3: [77, 52] from Operation: 2*26=52
Current State: 25:[77, 52], Operations: ['84-7=77', '2*26=52']
Exploring Operation: 77-52=25, Resulting Numbers: [25]
25,25 equal: Goal Reached
| 4 |
[
28,
88,
48,
76
] | 64 | [
"88-28=60",
"48+76=124",
"124-60=64"
] | Current State: 64:[28, 88, 48, 76], Operations: []
Exploring Operation: 88-28=60, Resulting Numbers: [48, 76, 60]
Generated Node #2: [48, 76, 60] from Operation: 88-28=60
Current State: 64:[48, 76, 60], Operations: ['88-28=60']
Exploring Operation: 48+76=124, Resulting Numbers: [60, 124]
Generated Node #3: [60, 124] from Operation: 48+76=124
Current State: 64:[60, 124], Operations: ['88-28=60', '48+76=124']
Exploring Operation: 124-60=64, Resulting Numbers: [64]
64,64 equal: Goal Reached
| 4 |
[
20,
9,
65,
1
] | 67 | [
"9+1=10",
"20/10=2",
"65+2=67"
] | Current State: 67:[20, 9, 65, 1], Operations: []
Exploring Operation: 9+1=10, Resulting Numbers: [20, 65, 10]
Generated Node #2: [20, 65, 10] from Operation: 9+1=10
Current State: 67:[20, 65, 10], Operations: ['9+1=10']
Exploring Operation: 20/10=2, Resulting Numbers: [65, 2]
Generated Node #3: [65, 2] from Operation: 20/10=2
Current State: 67:[65, 2], Operations: ['9+1=10', '20/10=2']
Exploring Operation: 65+2=67, Resulting Numbers: [67]
67,67 equal: Goal Reached
| 4 |
[
41,
30,
98,
42
] | 29 | [
"30*98=2940",
"2940/42=70",
"70-41=29"
] | Current State: 29:[41, 30, 98, 42], Operations: []
Exploring Operation: 30*98=2940, Resulting Numbers: [41, 42, 2940]
Generated Node #2: [41, 42, 2940] from Operation: 30*98=2940
Current State: 29:[41, 42, 2940], Operations: ['30*98=2940']
Exploring Operation: 2940/42=70, Resulting Numbers: [41, 70]
Generated Node #3: [41, 70] from Operation: 2940/42=70
Current State: 29:[41, 70], Operations: ['30*98=2940', '2940/42=70']
Exploring Operation: 70-41=29, Resulting Numbers: [29]
29,29 equal: Goal Reached
| 4 |
[
1,
47,
71,
5
] | 33 | [
"71-1=70",
"70/5=14",
"47-14=33"
] | Current State: 33:[1, 47, 71, 5], Operations: []
Exploring Operation: 71-1=70, Resulting Numbers: [47, 5, 70]
Generated Node #2: [47, 5, 70] from Operation: 71-1=70
Current State: 33:[47, 5, 70], Operations: ['71-1=70']
Exploring Operation: 70/5=14, Resulting Numbers: [47, 14]
Generated Node #3: [47, 14] from Operation: 70/5=14
Current State: 33:[47, 14], Operations: ['71-1=70', '70/5=14']
Exploring Operation: 47-14=33, Resulting Numbers: [33]
33,33 equal: Goal Reached
| 4 |
[
55,
66,
50,
22
] | 44 | [
"55-50=5",
"22*5=110",
"110-66=44"
] | Current State: 44:[55, 66, 50, 22], Operations: []
Exploring Operation: 55-50=5, Resulting Numbers: [66, 22, 5]
Generated Node #2: [66, 22, 5] from Operation: 55-50=5
Current State: 44:[66, 22, 5], Operations: ['55-50=5']
Exploring Operation: 22*5=110, Resulting Numbers: [66, 110]
Generated Node #3: [66, 110] from Operation: 22*5=110
Current State: 44:[66, 110], Operations: ['55-50=5', '22*5=110']
Exploring Operation: 110-66=44, Resulting Numbers: [44]
44,44 equal: Goal Reached
| 4 |
[
32,
40,
1,
17
] | 10 | [
"40-32=8",
"1+17=18",
"18-8=10"
] | Current State: 10:[32, 40, 1, 17], Operations: []
Exploring Operation: 40-32=8, Resulting Numbers: [1, 17, 8]
Generated Node #2: [1, 17, 8] from Operation: 40-32=8
Current State: 10:[1, 17, 8], Operations: ['40-32=8']
Exploring Operation: 1+17=18, Resulting Numbers: [8, 18]
Generated Node #3: [8, 18] from Operation: 1+17=18
Current State: 10:[8, 18], Operations: ['40-32=8', '1+17=18']
Exploring Operation: 18-8=10, Resulting Numbers: [10]
10,10 equal: Goal Reached
| 4 |
[
48,
20,
15,
16
] | 59 | [
"48-20=28",
"15+16=31",
"28+31=59"
] | Current State: 59:[48, 20, 15, 16], Operations: []
Exploring Operation: 48-20=28, Resulting Numbers: [15, 16, 28]
Generated Node #2: [15, 16, 28] from Operation: 48-20=28
Current State: 59:[15, 16, 28], Operations: ['48-20=28']
Exploring Operation: 15+16=31, Resulting Numbers: [28, 31]
Generated Node #3: [28, 31] from Operation: 15+16=31
Current State: 59:[28, 31], Operations: ['48-20=28', '15+16=31']
Exploring Operation: 28+31=59, Resulting Numbers: [59]
59,59 equal: Goal Reached
| 4 |
[
35,
29,
51,
32
] | 14 | [
"35*32=1120",
"29+51=80",
"1120/80=14"
] | Current State: 14:[35, 29, 51, 32], Operations: []
Exploring Operation: 35*32=1120, Resulting Numbers: [29, 51, 1120]
Generated Node #2: [29, 51, 1120] from Operation: 35*32=1120
Current State: 14:[29, 51, 1120], Operations: ['35*32=1120']
Exploring Operation: 29+51=80, Resulting Numbers: [1120, 80]
Generated Node #3: [1120, 80] from Operation: 29+51=80
Current State: 14:[1120, 80], Operations: ['35*32=1120', '29+51=80']
Exploring Operation: 1120/80=14, Resulting Numbers: [14]
14,14 equal: Goal Reached
| 4 |
[
45,
47,
11,
89
] | 39 | [
"47-45=2",
"89-11=78",
"78/2=39"
] | Current State: 39:[45, 47, 11, 89], Operations: []
Exploring Operation: 47-45=2, Resulting Numbers: [11, 89, 2]
Generated Node #2: [11, 89, 2] from Operation: 47-45=2
Current State: 39:[11, 89, 2], Operations: ['47-45=2']
Exploring Operation: 89-11=78, Resulting Numbers: [2, 78]
Generated Node #3: [2, 78] from Operation: 89-11=78
Current State: 39:[2, 78], Operations: ['47-45=2', '89-11=78']
Exploring Operation: 78/2=39, Resulting Numbers: [39]
39,39 equal: Goal Reached
| 4 |
[
64,
2,
20,
88
] | 14 | [
"88-64=24",
"20/2=10",
"24-10=14"
] | Current State: 14:[64, 2, 20, 88], Operations: []
Exploring Operation: 88-64=24, Resulting Numbers: [2, 20, 24]
Generated Node #2: [2, 20, 24] from Operation: 88-64=24
Current State: 14:[2, 20, 24], Operations: ['88-64=24']
Exploring Operation: 20/2=10, Resulting Numbers: [24, 10]
Generated Node #3: [24, 10] from Operation: 20/2=10
Current State: 14:[24, 10], Operations: ['88-64=24', '20/2=10']
Exploring Operation: 24-10=14, Resulting Numbers: [14]
14,14 equal: Goal Reached
| 4 |
[
93,
21,
4,
7
] | 61 | [
"93-21=72",
"4+7=11",
"72-11=61"
] | Current State: 61:[93, 21, 4, 7], Operations: []
Exploring Operation: 93-21=72, Resulting Numbers: [4, 7, 72]
Generated Node #2: [4, 7, 72] from Operation: 93-21=72
Current State: 61:[4, 7, 72], Operations: ['93-21=72']
Exploring Operation: 4+7=11, Resulting Numbers: [72, 11]
Generated Node #3: [72, 11] from Operation: 4+7=11
Current State: 61:[72, 11], Operations: ['93-21=72', '4+7=11']
Exploring Operation: 72-11=61, Resulting Numbers: [61]
61,61 equal: Goal Reached
| 4 |
[
62,
90,
71,
90
] | 71 | [
"90-90=0",
"62*0=0",
"71+0=71"
] | Current State: 71:[62, 90, 71, 90], Operations: []
Exploring Operation: 90-90=0, Resulting Numbers: [62, 71, 0]
Generated Node #2: [62, 71, 0] from Operation: 90-90=0
Current State: 71:[62, 71, 0], Operations: ['90-90=0']
Exploring Operation: 62*0=0, Resulting Numbers: [71, 0]
Generated Node #3: [71, 0] from Operation: 62*0=0
Current State: 71:[71, 0], Operations: ['90-90=0', '62*0=0']
Exploring Operation: 71+0=71, Resulting Numbers: [71]
71,71 equal: Goal Reached
| 4 |
[
50,
21,
24,
53
] | 17 | [
"53-50=3",
"21/3=7",
"24-7=17"
] | Current State: 17:[50, 21, 24, 53], Operations: []
Exploring Operation: 53-50=3, Resulting Numbers: [21, 24, 3]
Generated Node #2: [21, 24, 3] from Operation: 53-50=3
Current State: 17:[21, 24, 3], Operations: ['53-50=3']
Exploring Operation: 21/3=7, Resulting Numbers: [24, 7]
Generated Node #3: [24, 7] from Operation: 21/3=7
Current State: 17:[24, 7], Operations: ['53-50=3', '21/3=7']
Exploring Operation: 24-7=17, Resulting Numbers: [17]
17,17 equal: Goal Reached
| 4 |
[
31,
88,
19,
2
] | 64 | [
"31-19=12",
"2*12=24",
"88-24=64"
] | Current State: 64:[31, 88, 19, 2], Operations: []
Exploring Operation: 31-19=12, Resulting Numbers: [88, 2, 12]
Generated Node #2: [88, 2, 12] from Operation: 31-19=12
Current State: 64:[88, 2, 12], Operations: ['31-19=12']
Exploring Operation: 2*12=24, Resulting Numbers: [88, 24]
Generated Node #3: [88, 24] from Operation: 2*12=24
Current State: 64:[88, 24], Operations: ['31-19=12', '2*12=24']
Exploring Operation: 88-24=64, Resulting Numbers: [64]
64,64 equal: Goal Reached
| 4 |
[
93,
9,
33,
18
] | 69 | [
"93-9=84",
"33-18=15",
"84-15=69"
] | Current State: 69:[93, 9, 33, 18], Operations: []
Exploring Operation: 93-9=84, Resulting Numbers: [33, 18, 84]
Generated Node #2: [33, 18, 84] from Operation: 93-9=84
Current State: 69:[33, 18, 84], Operations: ['93-9=84']
Exploring Operation: 33-18=15, Resulting Numbers: [84, 15]
Generated Node #3: [84, 15] from Operation: 33-18=15
Current State: 69:[84, 15], Operations: ['93-9=84', '33-18=15']
Exploring Operation: 84-15=69, Resulting Numbers: [69]
69,69 equal: Goal Reached
| 4 |
[
2,
63,
11,
68
] | 80 | [
"63+11=74",
"2*74=148",
"148-68=80"
] | Current State: 80:[2, 63, 11, 68], Operations: []
Exploring Operation: 63+11=74, Resulting Numbers: [2, 68, 74]
Generated Node #2: [2, 68, 74] from Operation: 63+11=74
Current State: 80:[2, 68, 74], Operations: ['63+11=74']
Exploring Operation: 2*74=148, Resulting Numbers: [68, 148]
Generated Node #3: [68, 148] from Operation: 2*74=148
Current State: 80:[68, 148], Operations: ['63+11=74', '2*74=148']
Exploring Operation: 148-68=80, Resulting Numbers: [80]
80,80 equal: Goal Reached
| 4 |
[
69,
63,
52,
32
] | 92 | [
"52+32=84",
"69*84=5796",
"5796/63=92"
] | Current State: 92:[69, 63, 52, 32], Operations: []
Exploring Operation: 52+32=84, Resulting Numbers: [69, 63, 84]
Generated Node #2: [69, 63, 84] from Operation: 52+32=84
Current State: 92:[69, 63, 84], Operations: ['52+32=84']
Exploring Operation: 69*84=5796, Resulting Numbers: [63, 5796]
Generated Node #3: [63, 5796] from Operation: 69*84=5796
Current State: 92:[63, 5796], Operations: ['52+32=84', '69*84=5796']
Exploring Operation: 5796/63=92, Resulting Numbers: [92]
92,92 equal: Goal Reached
| 4 |
[
64,
7,
33,
5
] | 89 | [
"64*5=320",
"7*33=231",
"320-231=89"
] | Current State: 89:[64, 7, 33, 5], Operations: []
Exploring Operation: 64*5=320, Resulting Numbers: [7, 33, 320]
Generated Node #2: [7, 33, 320] from Operation: 64*5=320
Current State: 89:[7, 33, 320], Operations: ['64*5=320']
Exploring Operation: 7*33=231, Resulting Numbers: [320, 231]
Generated Node #3: [320, 231] from Operation: 7*33=231
Current State: 89:[320, 231], Operations: ['64*5=320', '7*33=231']
Exploring Operation: 320-231=89, Resulting Numbers: [89]
89,89 equal: Goal Reached
| 4 |
[
16,
55,
30,
28
] | 57 | [
"30-16=14",
"28/14=2",
"55+2=57"
] | Current State: 57:[16, 55, 30, 28], Operations: []
Exploring Operation: 30-16=14, Resulting Numbers: [55, 28, 14]
Generated Node #2: [55, 28, 14] from Operation: 30-16=14
Current State: 57:[55, 28, 14], Operations: ['30-16=14']
Exploring Operation: 28/14=2, Resulting Numbers: [55, 2]
Generated Node #3: [55, 2] from Operation: 28/14=2
Current State: 57:[55, 2], Operations: ['30-16=14', '28/14=2']
Exploring Operation: 55+2=57, Resulting Numbers: [57]
57,57 equal: Goal Reached
| 4 |
[
44,
50,
92,
62
] | 34 | [
"44*50=2200",
"2200-92=2108",
"2108/62=34"
] | Current State: 34:[44, 50, 92, 62], Operations: []
Exploring Operation: 44*50=2200, Resulting Numbers: [92, 62, 2200]
Generated Node #2: [92, 62, 2200] from Operation: 44*50=2200
Current State: 34:[92, 62, 2200], Operations: ['44*50=2200']
Exploring Operation: 2200-92=2108, Resulting Numbers: [62, 2108]
Generated Node #3: [62, 2108] from Operation: 2200-92=2108
Current State: 34:[62, 2108], Operations: ['44*50=2200', '2200-92=2108']
Exploring Operation: 2108/62=34, Resulting Numbers: [34]
34,34 equal: Goal Reached
| 4 |
[
93,
79,
83,
47
] | 22 | [
"93-79=14",
"83-47=36",
"36-14=22"
] | Current State: 22:[93, 79, 83, 47], Operations: []
Exploring Operation: 93-79=14, Resulting Numbers: [83, 47, 14]
Generated Node #2: [83, 47, 14] from Operation: 93-79=14
Current State: 22:[83, 47, 14], Operations: ['93-79=14']
Exploring Operation: 83-47=36, Resulting Numbers: [14, 36]
Generated Node #3: [14, 36] from Operation: 83-47=36
Current State: 22:[14, 36], Operations: ['93-79=14', '83-47=36']
Exploring Operation: 36-14=22, Resulting Numbers: [22]
22,22 equal: Goal Reached
| 4 |
[
38,
14,
17,
21
] | 81 | [
"21-14=7",
"17*7=119",
"119-38=81"
] | Current State: 81:[38, 14, 17, 21], Operations: []
Exploring Operation: 21-14=7, Resulting Numbers: [38, 17, 7]
Generated Node #2: [38, 17, 7] from Operation: 21-14=7
Current State: 81:[38, 17, 7], Operations: ['21-14=7']
Exploring Operation: 17*7=119, Resulting Numbers: [38, 119]
Generated Node #3: [38, 119] from Operation: 17*7=119
Current State: 81:[38, 119], Operations: ['21-14=7', '17*7=119']
Exploring Operation: 119-38=81, Resulting Numbers: [81]
81,81 equal: Goal Reached
| 4 |
[
1,
36,
7,
3
] | 11 | [
"3-1=2",
"36/2=18",
"18-7=11"
] | Current State: 11:[1, 36, 7, 3], Operations: []
Exploring Operation: 3-1=2, Resulting Numbers: [36, 7, 2]
Generated Node #2: [36, 7, 2] from Operation: 3-1=2
Current State: 11:[36, 7, 2], Operations: ['3-1=2']
Exploring Operation: 36/2=18, Resulting Numbers: [7, 18]
Generated Node #3: [7, 18] from Operation: 36/2=18
Current State: 11:[7, 18], Operations: ['3-1=2', '36/2=18']
Exploring Operation: 18-7=11, Resulting Numbers: [11]
11,11 equal: Goal Reached
| 4 |
[
92,
81,
69,
6
] | 20 | [
"81-69=12",
"6*12=72",
"92-72=20"
] | Current State: 20:[92, 81, 69, 6], Operations: []
Exploring Operation: 81-69=12, Resulting Numbers: [92, 6, 12]
Generated Node #2: [92, 6, 12] from Operation: 81-69=12
Current State: 20:[92, 6, 12], Operations: ['81-69=12']
Exploring Operation: 6*12=72, Resulting Numbers: [92, 72]
Generated Node #3: [92, 72] from Operation: 6*12=72
Current State: 20:[92, 72], Operations: ['81-69=12', '6*12=72']
Exploring Operation: 92-72=20, Resulting Numbers: [20]
20,20 equal: Goal Reached
| 4 |
[
42,
5,
70,
2
] | 82 | [
"42+5=47",
"70/2=35",
"47+35=82"
] | Current State: 82:[42, 5, 70, 2], Operations: []
Exploring Operation: 42+5=47, Resulting Numbers: [70, 2, 47]
Generated Node #2: [70, 2, 47] from Operation: 42+5=47
Current State: 82:[70, 2, 47], Operations: ['42+5=47']
Exploring Operation: 70/2=35, Resulting Numbers: [47, 35]
Generated Node #3: [47, 35] from Operation: 70/2=35
Current State: 82:[47, 35], Operations: ['42+5=47', '70/2=35']
Exploring Operation: 47+35=82, Resulting Numbers: [82]
82,82 equal: Goal Reached
| 4 |
[
71,
77,
62,
53
] | 54 | [
"77-71=6",
"62-53=9",
"6*9=54"
] | Current State: 54:[71, 77, 62, 53], Operations: []
Exploring Operation: 77-71=6, Resulting Numbers: [62, 53, 6]
Generated Node #2: [62, 53, 6] from Operation: 77-71=6
Current State: 54:[62, 53, 6], Operations: ['77-71=6']
Exploring Operation: 62-53=9, Resulting Numbers: [6, 9]
Generated Node #3: [6, 9] from Operation: 62-53=9
Current State: 54:[6, 9], Operations: ['77-71=6', '62-53=9']
Exploring Operation: 6*9=54, Resulting Numbers: [54]
54,54 equal: Goal Reached
| 4 |
[
40,
16,
64,
28
] | 66 | [
"40+16=56",
"56/28=2",
"64+2=66"
] | Current State: 66:[40, 16, 64, 28], Operations: []
Exploring Operation: 40+16=56, Resulting Numbers: [64, 28, 56]
Generated Node #2: [64, 28, 56] from Operation: 40+16=56
Current State: 66:[64, 28, 56], Operations: ['40+16=56']
Exploring Operation: 56/28=2, Resulting Numbers: [64, 2]
Generated Node #3: [64, 2] from Operation: 56/28=2
Current State: 66:[64, 2], Operations: ['40+16=56', '56/28=2']
Exploring Operation: 64+2=66, Resulting Numbers: [66]
66,66 equal: Goal Reached
| 4 |
[
31,
55,
8,
90
] | 22 | [
"31+55=86",
"90+86=176",
"176/8=22"
] | Current State: 22:[31, 55, 8, 90], Operations: []
Exploring Operation: 31+55=86, Resulting Numbers: [8, 90, 86]
Generated Node #2: [8, 90, 86] from Operation: 31+55=86
Current State: 22:[8, 90, 86], Operations: ['31+55=86']
Exploring Operation: 90+86=176, Resulting Numbers: [8, 176]
Generated Node #3: [8, 176] from Operation: 90+86=176
Current State: 22:[8, 176], Operations: ['31+55=86', '90+86=176']
Exploring Operation: 176/8=22, Resulting Numbers: [22]
22,22 equal: Goal Reached
| 4 |
[
61,
22,
71,
3
] | 36 | [
"61+22=83",
"83-71=12",
"3*12=36"
] | Current State: 36:[61, 22, 71, 3], Operations: []
Exploring Operation: 61+22=83, Resulting Numbers: [71, 3, 83]
Generated Node #2: [71, 3, 83] from Operation: 61+22=83
Current State: 36:[71, 3, 83], Operations: ['61+22=83']
Exploring Operation: 83-71=12, Resulting Numbers: [3, 12]
Generated Node #3: [3, 12] from Operation: 83-71=12
Current State: 36:[3, 12], Operations: ['61+22=83', '83-71=12']
Exploring Operation: 3*12=36, Resulting Numbers: [36]
36,36 equal: Goal Reached
| 4 |
[
35,
4,
30,
24
] | 23 | [
"35-4=31",
"30+24=54",
"54-31=23"
] | Current State: 23:[35, 4, 30, 24], Operations: []
Exploring Operation: 35-4=31, Resulting Numbers: [30, 24, 31]
Generated Node #2: [30, 24, 31] from Operation: 35-4=31
Current State: 23:[30, 24, 31], Operations: ['35-4=31']
Exploring Operation: 30+24=54, Resulting Numbers: [31, 54]
Generated Node #3: [31, 54] from Operation: 30+24=54
Current State: 23:[31, 54], Operations: ['35-4=31', '30+24=54']
Exploring Operation: 54-31=23, Resulting Numbers: [23]
23,23 equal: Goal Reached
| 4 |
[
3,
24,
21,
60
] | 43 | [
"21/3=7",
"60-24=36",
"7+36=43"
] | Current State: 43:[3, 24, 21, 60], Operations: []
Exploring Operation: 21/3=7, Resulting Numbers: [24, 60, 7]
Generated Node #2: [24, 60, 7] from Operation: 21/3=7
Current State: 43:[24, 60, 7], Operations: ['21/3=7']
Exploring Operation: 60-24=36, Resulting Numbers: [7, 36]
Generated Node #3: [7, 36] from Operation: 60-24=36
Current State: 43:[7, 36], Operations: ['21/3=7', '60-24=36']
Exploring Operation: 7+36=43, Resulting Numbers: [43]
43,43 equal: Goal Reached
| 4 |
[
68,
30,
81,
47
] | 60 | [
"68*30=2040",
"81-47=34",
"2040/34=60"
] | Current State: 60:[68, 30, 81, 47], Operations: []
Exploring Operation: 68*30=2040, Resulting Numbers: [81, 47, 2040]
Generated Node #2: [81, 47, 2040] from Operation: 68*30=2040
Current State: 60:[81, 47, 2040], Operations: ['68*30=2040']
Exploring Operation: 81-47=34, Resulting Numbers: [2040, 34]
Generated Node #3: [2040, 34] from Operation: 81-47=34
Current State: 60:[2040, 34], Operations: ['68*30=2040', '81-47=34']
Exploring Operation: 2040/34=60, Resulting Numbers: [60]
60,60 equal: Goal Reached
| 4 |
[
59,
77,
64,
96
] | 27 | [
"77-59=18",
"96*18=1728",
"1728/64=27"
] | Current State: 27:[59, 77, 64, 96], Operations: []
Exploring Operation: 77-59=18, Resulting Numbers: [64, 96, 18]
Generated Node #2: [64, 96, 18] from Operation: 77-59=18
Current State: 27:[64, 96, 18], Operations: ['77-59=18']
Exploring Operation: 96*18=1728, Resulting Numbers: [64, 1728]
Generated Node #3: [64, 1728] from Operation: 96*18=1728
Current State: 27:[64, 1728], Operations: ['77-59=18', '96*18=1728']
Exploring Operation: 1728/64=27, Resulting Numbers: [27]
27,27 equal: Goal Reached
| 4 |
[
39,
73,
53,
2
] | 61 | [
"39+73=112",
"53-2=51",
"112-51=61"
] | Current State: 61:[39, 73, 53, 2], Operations: []
Exploring Operation: 39+73=112, Resulting Numbers: [53, 2, 112]
Generated Node #2: [53, 2, 112] from Operation: 39+73=112
Current State: 61:[53, 2, 112], Operations: ['39+73=112']
Exploring Operation: 53-2=51, Resulting Numbers: [112, 51]
Generated Node #3: [112, 51] from Operation: 53-2=51
Current State: 61:[112, 51], Operations: ['39+73=112', '53-2=51']
Exploring Operation: 112-51=61, Resulting Numbers: [61]
61,61 equal: Goal Reached
| 4 |
[
97,
6,
27,
94
] | 99 | [
"97-94=3",
"6+27=33",
"3*33=99"
] | Current State: 99:[97, 6, 27, 94], Operations: []
Exploring Operation: 97-94=3, Resulting Numbers: [6, 27, 3]
Generated Node #2: [6, 27, 3] from Operation: 97-94=3
Current State: 99:[6, 27, 3], Operations: ['97-94=3']
Exploring Operation: 6+27=33, Resulting Numbers: [3, 33]
Generated Node #3: [3, 33] from Operation: 6+27=33
Current State: 99:[3, 33], Operations: ['97-94=3', '6+27=33']
Exploring Operation: 3*33=99, Resulting Numbers: [99]
99,99 equal: Goal Reached
| 4 |
[
80,
40,
76,
4
] | 96 | [
"80/4=20",
"40+76=116",
"116-20=96"
] | Current State: 96:[80, 40, 76, 4], Operations: []
Exploring Operation: 80/4=20, Resulting Numbers: [40, 76, 20]
Generated Node #2: [40, 76, 20] from Operation: 80/4=20
Current State: 96:[40, 76, 20], Operations: ['80/4=20']
Exploring Operation: 40+76=116, Resulting Numbers: [20, 116]
Generated Node #3: [20, 116] from Operation: 40+76=116
Current State: 96:[20, 116], Operations: ['80/4=20', '40+76=116']
Exploring Operation: 116-20=96, Resulting Numbers: [96]
96,96 equal: Goal Reached
| 4 |
[
8,
79,
20,
98
] | 31 | [
"8+79=87",
"20+98=118",
"118-87=31"
] | Current State: 31:[8, 79, 20, 98], Operations: []
Exploring Operation: 8+79=87, Resulting Numbers: [20, 98, 87]
Generated Node #2: [20, 98, 87] from Operation: 8+79=87
Current State: 31:[20, 98, 87], Operations: ['8+79=87']
Exploring Operation: 20+98=118, Resulting Numbers: [87, 118]
Generated Node #3: [87, 118] from Operation: 20+98=118
Current State: 31:[87, 118], Operations: ['8+79=87', '20+98=118']
Exploring Operation: 118-87=31, Resulting Numbers: [31]
31,31 equal: Goal Reached
| 4 |
[
44,
60,
42,
4
] | 46 | [
"60-44=16",
"16/4=4",
"42+4=46"
] | Current State: 46:[44, 60, 42, 4], Operations: []
Exploring Operation: 60-44=16, Resulting Numbers: [42, 4, 16]
Generated Node #2: [42, 4, 16] from Operation: 60-44=16
Current State: 46:[42, 4, 16], Operations: ['60-44=16']
Exploring Operation: 16/4=4, Resulting Numbers: [42, 4]
Generated Node #3: [42, 4] from Operation: 16/4=4
Current State: 46:[42, 4], Operations: ['60-44=16', '16/4=4']
Exploring Operation: 42+4=46, Resulting Numbers: [46]
46,46 equal: Goal Reached
| 4 |
[
76,
8,
84,
17
] | 16 | [
"76+8=84",
"84/84=1",
"17-1=16"
] | Current State: 16:[76, 8, 84, 17], Operations: []
Exploring Operation: 76+8=84, Resulting Numbers: [84, 17, 84]
Generated Node #2: [84, 17, 84] from Operation: 76+8=84
Current State: 16:[84, 17, 84], Operations: ['76+8=84']
Exploring Operation: 84/84=1, Resulting Numbers: [17, 1]
Generated Node #3: [17, 1] from Operation: 84/84=1
Current State: 16:[17, 1], Operations: ['76+8=84', '84/84=1']
Exploring Operation: 17-1=16, Resulting Numbers: [16]
16,16 equal: Goal Reached
| 4 |
[
36,
31,
26,
58
] | 17 | [
"36+31=67",
"26+58=84",
"84-67=17"
] | Current State: 17:[36, 31, 26, 58], Operations: []
Exploring Operation: 36+31=67, Resulting Numbers: [26, 58, 67]
Generated Node #2: [26, 58, 67] from Operation: 36+31=67
Current State: 17:[26, 58, 67], Operations: ['36+31=67']
Exploring Operation: 26+58=84, Resulting Numbers: [67, 84]
Generated Node #3: [67, 84] from Operation: 26+58=84
Current State: 17:[67, 84], Operations: ['36+31=67', '26+58=84']
Exploring Operation: 84-67=17, Resulting Numbers: [17]
17,17 equal: Goal Reached
| 4 |
[
32,
77,
4,
86
] | 68 | [
"86-77=9",
"4*9=36",
"32+36=68"
] | Current State: 68:[32, 77, 4, 86], Operations: []
Exploring Operation: 86-77=9, Resulting Numbers: [32, 4, 9]
Generated Node #2: [32, 4, 9] from Operation: 86-77=9
Current State: 68:[32, 4, 9], Operations: ['86-77=9']
Exploring Operation: 4*9=36, Resulting Numbers: [32, 36]
Generated Node #3: [32, 36] from Operation: 4*9=36
Current State: 68:[32, 36], Operations: ['86-77=9', '4*9=36']
Exploring Operation: 32+36=68, Resulting Numbers: [68]
68,68 equal: Goal Reached
| 4 |
[
80,
15,
10,
19
] | 15 | [
"80+15=95",
"95/19=5",
"10+5=15"
] | Current State: 15:[80, 15, 10, 19], Operations: []
Exploring Operation: 80+15=95, Resulting Numbers: [10, 19, 95]
Generated Node #2: [10, 19, 95] from Operation: 80+15=95
Current State: 15:[10, 19, 95], Operations: ['80+15=95']
Exploring Operation: 95/19=5, Resulting Numbers: [10, 5]
Generated Node #3: [10, 5] from Operation: 95/19=5
Current State: 15:[10, 5], Operations: ['80+15=95', '95/19=5']
Exploring Operation: 10+5=15, Resulting Numbers: [15]
15,15 equal: Goal Reached
| 4 |
[
11,
1,
1,
8
] | 86 | [
"11*8=88",
"1+1=2",
"88-2=86"
] | Current State: 86:[11, 1, 1, 8], Operations: []
Exploring Operation: 11*8=88, Resulting Numbers: [1, 1, 88]
Generated Node #2: [1, 1, 88] from Operation: 11*8=88
Current State: 86:[1, 1, 88], Operations: ['11*8=88']
Exploring Operation: 1+1=2, Resulting Numbers: [88, 2]
Generated Node #3: [88, 2] from Operation: 1+1=2
Current State: 86:[88, 2], Operations: ['11*8=88', '1+1=2']
Exploring Operation: 88-2=86, Resulting Numbers: [86]
86,86 equal: Goal Reached
| 4 |
[
80,
81,
17,
79
] | 64 | [
"80-79=1",
"81-17=64",
"1*64=64"
] | Current State: 64:[80, 81, 17, 79], Operations: []
Exploring Operation: 80-79=1, Resulting Numbers: [81, 17, 1]
Generated Node #2: [81, 17, 1] from Operation: 80-79=1
Current State: 64:[81, 17, 1], Operations: ['80-79=1']
Exploring Operation: 81-17=64, Resulting Numbers: [1, 64]
Generated Node #3: [1, 64] from Operation: 81-17=64
Current State: 64:[1, 64], Operations: ['80-79=1', '81-17=64']
Exploring Operation: 1*64=64, Resulting Numbers: [64]
64,64 equal: Goal Reached
| 4 |
[
5,
64,
42,
29
] | 49 | [
"64-29=35",
"35/5=7",
"42+7=49"
] | Current State: 49:[5, 64, 42, 29], Operations: []
Exploring Operation: 64-29=35, Resulting Numbers: [5, 42, 35]
Generated Node #2: [5, 42, 35] from Operation: 64-29=35
Current State: 49:[5, 42, 35], Operations: ['64-29=35']
Exploring Operation: 35/5=7, Resulting Numbers: [42, 7]
Generated Node #3: [42, 7] from Operation: 35/5=7
Current State: 49:[42, 7], Operations: ['64-29=35', '35/5=7']
Exploring Operation: 42+7=49, Resulting Numbers: [49]
49,49 equal: Goal Reached
| 4 |
[
37,
72,
73,
7
] | 29 | [
"37+72=109",
"73+7=80",
"109-80=29"
] | Current State: 29:[37, 72, 73, 7], Operations: []
Exploring Operation: 37+72=109, Resulting Numbers: [73, 7, 109]
Generated Node #2: [73, 7, 109] from Operation: 37+72=109
Current State: 29:[73, 7, 109], Operations: ['37+72=109']
Exploring Operation: 73+7=80, Resulting Numbers: [109, 80]
Generated Node #3: [109, 80] from Operation: 73+7=80
Current State: 29:[109, 80], Operations: ['37+72=109', '73+7=80']
Exploring Operation: 109-80=29, Resulting Numbers: [29]
29,29 equal: Goal Reached
| 4 |
[
28,
16,
53,
8
] | 67 | [
"28*8=224",
"224/16=14",
"53+14=67"
] | Current State: 67:[28, 16, 53, 8], Operations: []
Exploring Operation: 28*8=224, Resulting Numbers: [16, 53, 224]
Generated Node #2: [16, 53, 224] from Operation: 28*8=224
Current State: 67:[16, 53, 224], Operations: ['28*8=224']
Exploring Operation: 224/16=14, Resulting Numbers: [53, 14]
Generated Node #3: [53, 14] from Operation: 224/16=14
Current State: 67:[53, 14], Operations: ['28*8=224', '224/16=14']
Exploring Operation: 53+14=67, Resulting Numbers: [67]
67,67 equal: Goal Reached
| 4 |
[
15,
17,
27,
10
] | 15 | [
"15+17=32",
"27-10=17",
"32-17=15"
] | Current State: 15:[15, 17, 27, 10], Operations: []
Exploring Operation: 15+17=32, Resulting Numbers: [27, 10, 32]
Generated Node #2: [27, 10, 32] from Operation: 15+17=32
Current State: 15:[27, 10, 32], Operations: ['15+17=32']
Exploring Operation: 27-10=17, Resulting Numbers: [32, 17]
Generated Node #3: [32, 17] from Operation: 27-10=17
Current State: 15:[32, 17], Operations: ['15+17=32', '27-10=17']
Exploring Operation: 32-17=15, Resulting Numbers: [15]
15,15 equal: Goal Reached
| 4 |
[
3,
64,
75,
3
] | 11 | [
"3+64=67",
"75+3=78",
"78-67=11"
] | Current State: 11:[3, 64, 75, 3], Operations: []
Exploring Operation: 3+64=67, Resulting Numbers: [75, 67]
Generated Node #2: [75, 67] from Operation: 3+64=67
Current State: 11:[75, 67], Operations: ['3+64=67']
Exploring Operation: 75+3=78, Resulting Numbers: [67, 78]
Generated Node #3: [67, 78] from Operation: 75+3=78
Current State: 11:[67, 78], Operations: ['3+64=67', '75+3=78']
Exploring Operation: 78-67=11, Resulting Numbers: [11]
11,11 equal: Goal Reached
| 4 |
[
64,
3,
69,
93
] | 50 | [
"64+93=157",
"3*69=207",
"207-157=50"
] | Current State: 50:[64, 3, 69, 93], Operations: []
Exploring Operation: 64+93=157, Resulting Numbers: [3, 69, 157]
Generated Node #2: [3, 69, 157] from Operation: 64+93=157
Current State: 50:[3, 69, 157], Operations: ['64+93=157']
Exploring Operation: 3*69=207, Resulting Numbers: [157, 207]
Generated Node #3: [157, 207] from Operation: 3*69=207
Current State: 50:[157, 207], Operations: ['64+93=157', '3*69=207']
Exploring Operation: 207-157=50, Resulting Numbers: [50]
50,50 equal: Goal Reached
| 4 |
[
31,
70,
12,
51
] | 62 | [
"31+70=101",
"51-12=39",
"101-39=62"
] | Current State: 62:[31, 70, 12, 51], Operations: []
Exploring Operation: 31+70=101, Resulting Numbers: [12, 51, 101]
Generated Node #2: [12, 51, 101] from Operation: 31+70=101
Current State: 62:[12, 51, 101], Operations: ['31+70=101']
Exploring Operation: 51-12=39, Resulting Numbers: [101, 39]
Generated Node #3: [101, 39] from Operation: 51-12=39
Current State: 62:[101, 39], Operations: ['31+70=101', '51-12=39']
Exploring Operation: 101-39=62, Resulting Numbers: [62]
62,62 equal: Goal Reached
| 4 |
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