nums listlengths 4 4 | target int64 10 100 | solution listlengths 3 3 | optimal_path stringlengths 282 529 | start_size int64 4 4 |
|---|---|---|---|---|
[
87,
85,
17,
14
] | 80 | [
"87-17=70",
"70/14=5",
"85-5=80"
] | Current State: 80:[87, 85, 17, 14], Operations: []
Exploring Operation: 87-17=70, Resulting Numbers: [85, 14, 70]
Generated Node #2: [85, 14, 70] from Operation: 87-17=70
Current State: 80:[85, 14, 70], Operations: ['87-17=70']
Exploring Operation: 70/14=5, Resulting Numbers: [85, 5]
Generated Node #3: [85, 5] from Operation: 70/14=5
Current State: 80:[85, 5], Operations: ['87-17=70', '70/14=5']
Exploring Operation: 85-5=80, Resulting Numbers: [80]
80,80 equal: Goal Reached
| 4 |
[
39,
87,
25,
31
] | 42 | [
"87-39=48",
"31-25=6",
"48-6=42"
] | Current State: 42:[39, 87, 25, 31], Operations: []
Exploring Operation: 87-39=48, Resulting Numbers: [25, 31, 48]
Generated Node #2: [25, 31, 48] from Operation: 87-39=48
Current State: 42:[25, 31, 48], Operations: ['87-39=48']
Exploring Operation: 31-25=6, Resulting Numbers: [48, 6]
Generated Node #3: [48, 6] from Operation: 31-25=6
Current State: 42:[48, 6], Operations: ['87-39=48', '31-25=6']
Exploring Operation: 48-6=42, Resulting Numbers: [42]
42,42 equal: Goal Reached
| 4 |
[
83,
86,
64,
14
] | 47 | [
"86-83=3",
"64-14=50",
"50-3=47"
] | Current State: 47:[83, 86, 64, 14], Operations: []
Exploring Operation: 86-83=3, Resulting Numbers: [64, 14, 3]
Generated Node #2: [64, 14, 3] from Operation: 86-83=3
Current State: 47:[64, 14, 3], Operations: ['86-83=3']
Exploring Operation: 64-14=50, Resulting Numbers: [3, 50]
Generated Node #3: [3, 50] from Operation: 64-14=50
Current State: 47:[3, 50], Operations: ['86-83=3', '64-14=50']
Exploring Operation: 50-3=47, Resulting Numbers: [47]
47,47 equal: Goal Reached
| 4 |
[
32,
3,
34,
22
] | 72 | [
"34-32=2",
"22+2=24",
"3*24=72"
] | Current State: 72:[32, 3, 34, 22], Operations: []
Exploring Operation: 34-32=2, Resulting Numbers: [3, 22, 2]
Generated Node #2: [3, 22, 2] from Operation: 34-32=2
Current State: 72:[3, 22, 2], Operations: ['34-32=2']
Exploring Operation: 22+2=24, Resulting Numbers: [3, 24]
Generated Node #3: [3, 24] from Operation: 22+2=24
Current State: 72:[3, 24], Operations: ['34-32=2', '22+2=24']
Exploring Operation: 3*24=72, Resulting Numbers: [72]
72,72 equal: Goal Reached
| 4 |
[
63,
93,
65,
5
] | 19 | [
"93-63=30",
"65+30=95",
"95/5=19"
] | Current State: 19:[63, 93, 65, 5], Operations: []
Exploring Operation: 93-63=30, Resulting Numbers: [65, 5, 30]
Generated Node #2: [65, 5, 30] from Operation: 93-63=30
Current State: 19:[65, 5, 30], Operations: ['93-63=30']
Exploring Operation: 65+30=95, Resulting Numbers: [5, 95]
Generated Node #3: [5, 95] from Operation: 65+30=95
Current State: 19:[5, 95], Operations: ['93-63=30', '65+30=95']
Exploring Operation: 95/5=19, Resulting Numbers: [19]
19,19 equal: Goal Reached
| 4 |
[
30,
83,
26,
51
] | 36 | [
"30+83=113",
"26+51=77",
"113-77=36"
] | Current State: 36:[30, 83, 26, 51], Operations: []
Exploring Operation: 30+83=113, Resulting Numbers: [26, 51, 113]
Generated Node #2: [26, 51, 113] from Operation: 30+83=113
Current State: 36:[26, 51, 113], Operations: ['30+83=113']
Exploring Operation: 26+51=77, Resulting Numbers: [113, 77]
Generated Node #3: [113, 77] from Operation: 26+51=77
Current State: 36:[113, 77], Operations: ['30+83=113', '26+51=77']
Exploring Operation: 113-77=36, Resulting Numbers: [36]
36,36 equal: Goal Reached
| 4 |
[
29,
51,
24,
33
] | 89 | [
"29+51=80",
"33-24=9",
"80+9=89"
] | Current State: 89:[29, 51, 24, 33], Operations: []
Exploring Operation: 29+51=80, Resulting Numbers: [24, 33, 80]
Generated Node #2: [24, 33, 80] from Operation: 29+51=80
Current State: 89:[24, 33, 80], Operations: ['29+51=80']
Exploring Operation: 33-24=9, Resulting Numbers: [80, 9]
Generated Node #3: [80, 9] from Operation: 33-24=9
Current State: 89:[80, 9], Operations: ['29+51=80', '33-24=9']
Exploring Operation: 80+9=89, Resulting Numbers: [89]
89,89 equal: Goal Reached
| 4 |
[
45,
37,
9,
80
] | 63 | [
"45-37=8",
"80-9=71",
"71-8=63"
] | Current State: 63:[45, 37, 9, 80], Operations: []
Exploring Operation: 45-37=8, Resulting Numbers: [9, 80, 8]
Generated Node #2: [9, 80, 8] from Operation: 45-37=8
Current State: 63:[9, 80, 8], Operations: ['45-37=8']
Exploring Operation: 80-9=71, Resulting Numbers: [8, 71]
Generated Node #3: [8, 71] from Operation: 80-9=71
Current State: 63:[8, 71], Operations: ['45-37=8', '80-9=71']
Exploring Operation: 71-8=63, Resulting Numbers: [63]
63,63 equal: Goal Reached
| 4 |
[
1,
29,
89,
24
] | 83 | [
"1+29=30",
"89+24=113",
"113-30=83"
] | Current State: 83:[1, 29, 89, 24], Operations: []
Exploring Operation: 1+29=30, Resulting Numbers: [89, 24, 30]
Generated Node #2: [89, 24, 30] from Operation: 1+29=30
Current State: 83:[89, 24, 30], Operations: ['1+29=30']
Exploring Operation: 89+24=113, Resulting Numbers: [30, 113]
Generated Node #3: [30, 113] from Operation: 89+24=113
Current State: 83:[30, 113], Operations: ['1+29=30', '89+24=113']
Exploring Operation: 113-30=83, Resulting Numbers: [83]
83,83 equal: Goal Reached
| 4 |
[
45,
85,
41,
95
] | 40 | [
"45-41=4",
"95-85=10",
"4*10=40"
] | Current State: 40:[45, 85, 41, 95], Operations: []
Exploring Operation: 45-41=4, Resulting Numbers: [85, 95, 4]
Generated Node #2: [85, 95, 4] from Operation: 45-41=4
Current State: 40:[85, 95, 4], Operations: ['45-41=4']
Exploring Operation: 95-85=10, Resulting Numbers: [4, 10]
Generated Node #3: [4, 10] from Operation: 95-85=10
Current State: 40:[4, 10], Operations: ['45-41=4', '95-85=10']
Exploring Operation: 4*10=40, Resulting Numbers: [40]
40,40 equal: Goal Reached
| 4 |
[
65,
90,
76,
1
] | 79 | [
"65+90=155",
"76*1=76",
"155-76=79"
] | Current State: 79:[65, 90, 76, 1], Operations: []
Exploring Operation: 65+90=155, Resulting Numbers: [76, 1, 155]
Generated Node #2: [76, 1, 155] from Operation: 65+90=155
Current State: 79:[76, 1, 155], Operations: ['65+90=155']
Exploring Operation: 76*1=76, Resulting Numbers: [155, 76]
Generated Node #3: [155, 76] from Operation: 76*1=76
Current State: 79:[155, 76], Operations: ['65+90=155', '76*1=76']
Exploring Operation: 155-76=79, Resulting Numbers: [79]
79,79 equal: Goal Reached
| 4 |
[
67,
39,
25,
25
] | 29 | [
"67-39=28",
"25/25=1",
"28+1=29"
] | Current State: 29:[67, 39, 25, 25], Operations: []
Exploring Operation: 67-39=28, Resulting Numbers: [25, 25, 28]
Generated Node #2: [25, 25, 28] from Operation: 67-39=28
Current State: 29:[25, 25, 28], Operations: ['67-39=28']
Exploring Operation: 25/25=1, Resulting Numbers: [28, 1]
Generated Node #3: [28, 1] from Operation: 25/25=1
Current State: 29:[28, 1], Operations: ['67-39=28', '25/25=1']
Exploring Operation: 28+1=29, Resulting Numbers: [29]
29,29 equal: Goal Reached
| 4 |
[
30,
17,
82,
15
] | 67 | [
"30/15=2",
"82-17=65",
"2+65=67"
] | Current State: 67:[30, 17, 82, 15], Operations: []
Exploring Operation: 30/15=2, Resulting Numbers: [17, 82, 2]
Generated Node #2: [17, 82, 2] from Operation: 30/15=2
Current State: 67:[17, 82, 2], Operations: ['30/15=2']
Exploring Operation: 82-17=65, Resulting Numbers: [2, 65]
Generated Node #3: [2, 65] from Operation: 82-17=65
Current State: 67:[2, 65], Operations: ['30/15=2', '82-17=65']
Exploring Operation: 2+65=67, Resulting Numbers: [67]
67,67 equal: Goal Reached
| 4 |
[
61,
23,
47,
35
] | 96 | [
"61+23=84",
"47-35=12",
"84+12=96"
] | Current State: 96:[61, 23, 47, 35], Operations: []
Exploring Operation: 61+23=84, Resulting Numbers: [47, 35, 84]
Generated Node #2: [47, 35, 84] from Operation: 61+23=84
Current State: 96:[47, 35, 84], Operations: ['61+23=84']
Exploring Operation: 47-35=12, Resulting Numbers: [84, 12]
Generated Node #3: [84, 12] from Operation: 47-35=12
Current State: 96:[84, 12], Operations: ['61+23=84', '47-35=12']
Exploring Operation: 84+12=96, Resulting Numbers: [96]
96,96 equal: Goal Reached
| 4 |
[
23,
17,
54,
60
] | 81 | [
"23+17=40",
"54*60=3240",
"3240/40=81"
] | Current State: 81:[23, 17, 54, 60], Operations: []
Exploring Operation: 23+17=40, Resulting Numbers: [54, 60, 40]
Generated Node #2: [54, 60, 40] from Operation: 23+17=40
Current State: 81:[54, 60, 40], Operations: ['23+17=40']
Exploring Operation: 54*60=3240, Resulting Numbers: [40, 3240]
Generated Node #3: [40, 3240] from Operation: 54*60=3240
Current State: 81:[40, 3240], Operations: ['23+17=40', '54*60=3240']
Exploring Operation: 3240/40=81, Resulting Numbers: [81]
81,81 equal: Goal Reached
| 4 |
[
96,
29,
14,
22
] | 59 | [
"96-29=67",
"22-14=8",
"67-8=59"
] | Current State: 59:[96, 29, 14, 22], Operations: []
Exploring Operation: 96-29=67, Resulting Numbers: [14, 22, 67]
Generated Node #2: [14, 22, 67] from Operation: 96-29=67
Current State: 59:[14, 22, 67], Operations: ['96-29=67']
Exploring Operation: 22-14=8, Resulting Numbers: [67, 8]
Generated Node #3: [67, 8] from Operation: 22-14=8
Current State: 59:[67, 8], Operations: ['96-29=67', '22-14=8']
Exploring Operation: 67-8=59, Resulting Numbers: [59]
59,59 equal: Goal Reached
| 4 |
[
24,
85,
14,
29
] | 20 | [
"85-29=56",
"56/14=4",
"24-4=20"
] | Current State: 20:[24, 85, 14, 29], Operations: []
Exploring Operation: 85-29=56, Resulting Numbers: [24, 14, 56]
Generated Node #2: [24, 14, 56] from Operation: 85-29=56
Current State: 20:[24, 14, 56], Operations: ['85-29=56']
Exploring Operation: 56/14=4, Resulting Numbers: [24, 4]
Generated Node #3: [24, 4] from Operation: 56/14=4
Current State: 20:[24, 4], Operations: ['85-29=56', '56/14=4']
Exploring Operation: 24-4=20, Resulting Numbers: [20]
20,20 equal: Goal Reached
| 4 |
[
99,
39,
28,
80
] | 48 | [
"99-39=60",
"28+80=108",
"108-60=48"
] | Current State: 48:[99, 39, 28, 80], Operations: []
Exploring Operation: 99-39=60, Resulting Numbers: [28, 80, 60]
Generated Node #2: [28, 80, 60] from Operation: 99-39=60
Current State: 48:[28, 80, 60], Operations: ['99-39=60']
Exploring Operation: 28+80=108, Resulting Numbers: [60, 108]
Generated Node #3: [60, 108] from Operation: 28+80=108
Current State: 48:[60, 108], Operations: ['99-39=60', '28+80=108']
Exploring Operation: 108-60=48, Resulting Numbers: [48]
48,48 equal: Goal Reached
| 4 |
[
63,
66,
48,
88
] | 72 | [
"66-63=3",
"48/3=16",
"88-16=72"
] | Current State: 72:[63, 66, 48, 88], Operations: []
Exploring Operation: 66-63=3, Resulting Numbers: [48, 88, 3]
Generated Node #2: [48, 88, 3] from Operation: 66-63=3
Current State: 72:[48, 88, 3], Operations: ['66-63=3']
Exploring Operation: 48/3=16, Resulting Numbers: [88, 16]
Generated Node #3: [88, 16] from Operation: 48/3=16
Current State: 72:[88, 16], Operations: ['66-63=3', '48/3=16']
Exploring Operation: 88-16=72, Resulting Numbers: [72]
72,72 equal: Goal Reached
| 4 |
[
77,
25,
55,
72
] | 35 | [
"77-25=52",
"72-55=17",
"52-17=35"
] | Current State: 35:[77, 25, 55, 72], Operations: []
Exploring Operation: 77-25=52, Resulting Numbers: [55, 72, 52]
Generated Node #2: [55, 72, 52] from Operation: 77-25=52
Current State: 35:[55, 72, 52], Operations: ['77-25=52']
Exploring Operation: 72-55=17, Resulting Numbers: [52, 17]
Generated Node #3: [52, 17] from Operation: 72-55=17
Current State: 35:[52, 17], Operations: ['77-25=52', '72-55=17']
Exploring Operation: 52-17=35, Resulting Numbers: [35]
35,35 equal: Goal Reached
| 4 |
[
3,
24,
66,
89
] | 75 | [
"66-24=42",
"42/3=14",
"89-14=75"
] | Current State: 75:[3, 24, 66, 89], Operations: []
Exploring Operation: 66-24=42, Resulting Numbers: [3, 89, 42]
Generated Node #2: [3, 89, 42] from Operation: 66-24=42
Current State: 75:[3, 89, 42], Operations: ['66-24=42']
Exploring Operation: 42/3=14, Resulting Numbers: [89, 14]
Generated Node #3: [89, 14] from Operation: 42/3=14
Current State: 75:[89, 14], Operations: ['66-24=42', '42/3=14']
Exploring Operation: 89-14=75, Resulting Numbers: [75]
75,75 equal: Goal Reached
| 4 |
[
74,
1,
8,
30
] | 13 | [
"74*1=74",
"30+74=104",
"104/8=13"
] | Current State: 13:[74, 1, 8, 30], Operations: []
Exploring Operation: 74*1=74, Resulting Numbers: [8, 30, 74]
Generated Node #2: [8, 30, 74] from Operation: 74*1=74
Current State: 13:[8, 30, 74], Operations: ['74*1=74']
Exploring Operation: 30+74=104, Resulting Numbers: [8, 104]
Generated Node #3: [8, 104] from Operation: 30+74=104
Current State: 13:[8, 104], Operations: ['74*1=74', '30+74=104']
Exploring Operation: 104/8=13, Resulting Numbers: [13]
13,13 equal: Goal Reached
| 4 |
[
69,
26,
14,
98
] | 50 | [
"69-26=43",
"98/14=7",
"43+7=50"
] | Current State: 50:[69, 26, 14, 98], Operations: []
Exploring Operation: 69-26=43, Resulting Numbers: [14, 98, 43]
Generated Node #2: [14, 98, 43] from Operation: 69-26=43
Current State: 50:[14, 98, 43], Operations: ['69-26=43']
Exploring Operation: 98/14=7, Resulting Numbers: [43, 7]
Generated Node #3: [43, 7] from Operation: 98/14=7
Current State: 50:[43, 7], Operations: ['69-26=43', '98/14=7']
Exploring Operation: 43+7=50, Resulting Numbers: [50]
50,50 equal: Goal Reached
| 4 |
[
38,
80,
3,
51
] | 90 | [
"80-38=42",
"51-3=48",
"42+48=90"
] | Current State: 90:[38, 80, 3, 51], Operations: []
Exploring Operation: 80-38=42, Resulting Numbers: [3, 51, 42]
Generated Node #2: [3, 51, 42] from Operation: 80-38=42
Current State: 90:[3, 51, 42], Operations: ['80-38=42']
Exploring Operation: 51-3=48, Resulting Numbers: [42, 48]
Generated Node #3: [42, 48] from Operation: 51-3=48
Current State: 90:[42, 48], Operations: ['80-38=42', '51-3=48']
Exploring Operation: 42+48=90, Resulting Numbers: [90]
90,90 equal: Goal Reached
| 4 |
[
31,
20,
52,
94
] | 94 | [
"31+20=51",
"52-51=1",
"94*1=94"
] | Current State: 94:[31, 20, 52, 94], Operations: []
Exploring Operation: 31+20=51, Resulting Numbers: [52, 94, 51]
Generated Node #2: [52, 94, 51] from Operation: 31+20=51
Current State: 94:[52, 94, 51], Operations: ['31+20=51']
Exploring Operation: 52-51=1, Resulting Numbers: [94, 1]
Generated Node #3: [94, 1] from Operation: 52-51=1
Current State: 94:[94, 1], Operations: ['31+20=51', '52-51=1']
Exploring Operation: 94*1=94, Resulting Numbers: [94]
94,94 equal: Goal Reached
| 4 |
[
33,
99,
67,
7
] | 65 | [
"33*7=231",
"99+67=166",
"231-166=65"
] | Current State: 65:[33, 99, 67, 7], Operations: []
Exploring Operation: 33*7=231, Resulting Numbers: [99, 67, 231]
Generated Node #2: [99, 67, 231] from Operation: 33*7=231
Current State: 65:[99, 67, 231], Operations: ['33*7=231']
Exploring Operation: 99+67=166, Resulting Numbers: [231, 166]
Generated Node #3: [231, 166] from Operation: 99+67=166
Current State: 65:[231, 166], Operations: ['33*7=231', '99+67=166']
Exploring Operation: 231-166=65, Resulting Numbers: [65]
65,65 equal: Goal Reached
| 4 |
[
16,
45,
19,
15
] | 40 | [
"19-16=3",
"15/3=5",
"45-5=40"
] | Current State: 40:[16, 45, 19, 15], Operations: []
Exploring Operation: 19-16=3, Resulting Numbers: [45, 15, 3]
Generated Node #2: [45, 15, 3] from Operation: 19-16=3
Current State: 40:[45, 15, 3], Operations: ['19-16=3']
Exploring Operation: 15/3=5, Resulting Numbers: [45, 5]
Generated Node #3: [45, 5] from Operation: 15/3=5
Current State: 40:[45, 5], Operations: ['19-16=3', '15/3=5']
Exploring Operation: 45-5=40, Resulting Numbers: [40]
40,40 equal: Goal Reached
| 4 |
[
17,
4,
6,
8
] | 86 | [
"17-4=13",
"6*13=78",
"8+78=86"
] | Current State: 86:[17, 4, 6, 8], Operations: []
Exploring Operation: 17-4=13, Resulting Numbers: [6, 8, 13]
Generated Node #2: [6, 8, 13] from Operation: 17-4=13
Current State: 86:[6, 8, 13], Operations: ['17-4=13']
Exploring Operation: 6*13=78, Resulting Numbers: [8, 78]
Generated Node #3: [8, 78] from Operation: 6*13=78
Current State: 86:[8, 78], Operations: ['17-4=13', '6*13=78']
Exploring Operation: 8+78=86, Resulting Numbers: [86]
86,86 equal: Goal Reached
| 4 |
[
77,
41,
12,
88
] | 85 | [
"77-41=36",
"36/12=3",
"88-3=85"
] | Current State: 85:[77, 41, 12, 88], Operations: []
Exploring Operation: 77-41=36, Resulting Numbers: [12, 88, 36]
Generated Node #2: [12, 88, 36] from Operation: 77-41=36
Current State: 85:[12, 88, 36], Operations: ['77-41=36']
Exploring Operation: 36/12=3, Resulting Numbers: [88, 3]
Generated Node #3: [88, 3] from Operation: 36/12=3
Current State: 85:[88, 3], Operations: ['77-41=36', '36/12=3']
Exploring Operation: 88-3=85, Resulting Numbers: [85]
85,85 equal: Goal Reached
| 4 |
[
14,
30,
21,
96
] | 84 | [
"30+96=126",
"14*126=1764",
"1764/21=84"
] | Current State: 84:[14, 30, 21, 96], Operations: []
Exploring Operation: 30+96=126, Resulting Numbers: [14, 21, 126]
Generated Node #2: [14, 21, 126] from Operation: 30+96=126
Current State: 84:[14, 21, 126], Operations: ['30+96=126']
Exploring Operation: 14*126=1764, Resulting Numbers: [21, 1764]
Generated Node #3: [21, 1764] from Operation: 14*126=1764
Current State: 84:[21, 1764], Operations: ['30+96=126', '14*126=1764']
Exploring Operation: 1764/21=84, Resulting Numbers: [84]
84,84 equal: Goal Reached
| 4 |
[
3,
18,
10,
50
] | 81 | [
"3+18=21",
"10+50=60",
"21+60=81"
] | Current State: 81:[3, 18, 10, 50], Operations: []
Exploring Operation: 3+18=21, Resulting Numbers: [10, 50, 21]
Generated Node #2: [10, 50, 21] from Operation: 3+18=21
Current State: 81:[10, 50, 21], Operations: ['3+18=21']
Exploring Operation: 10+50=60, Resulting Numbers: [21, 60]
Generated Node #3: [21, 60] from Operation: 10+50=60
Current State: 81:[21, 60], Operations: ['3+18=21', '10+50=60']
Exploring Operation: 21+60=81, Resulting Numbers: [81]
81,81 equal: Goal Reached
| 4 |
[
64,
32,
86,
48
] | 62 | [
"64/32=2",
"48/2=24",
"86-24=62"
] | Current State: 62:[64, 32, 86, 48], Operations: []
Exploring Operation: 64/32=2, Resulting Numbers: [86, 48, 2]
Generated Node #2: [86, 48, 2] from Operation: 64/32=2
Current State: 62:[86, 48, 2], Operations: ['64/32=2']
Exploring Operation: 48/2=24, Resulting Numbers: [86, 24]
Generated Node #3: [86, 24] from Operation: 48/2=24
Current State: 62:[86, 24], Operations: ['64/32=2', '48/2=24']
Exploring Operation: 86-24=62, Resulting Numbers: [62]
62,62 equal: Goal Reached
| 4 |
[
16,
80,
70,
18
] | 77 | [
"70-16=54",
"54/18=3",
"80-3=77"
] | Current State: 77:[16, 80, 70, 18], Operations: []
Exploring Operation: 70-16=54, Resulting Numbers: [80, 18, 54]
Generated Node #2: [80, 18, 54] from Operation: 70-16=54
Current State: 77:[80, 18, 54], Operations: ['70-16=54']
Exploring Operation: 54/18=3, Resulting Numbers: [80, 3]
Generated Node #3: [80, 3] from Operation: 54/18=3
Current State: 77:[80, 3], Operations: ['70-16=54', '54/18=3']
Exploring Operation: 80-3=77, Resulting Numbers: [77]
77,77 equal: Goal Reached
| 4 |
[
7,
6,
10,
78
] | 39 | [
"10-7=3",
"78/6=13",
"3*13=39"
] | Current State: 39:[7, 6, 10, 78], Operations: []
Exploring Operation: 10-7=3, Resulting Numbers: [6, 78, 3]
Generated Node #2: [6, 78, 3] from Operation: 10-7=3
Current State: 39:[6, 78, 3], Operations: ['10-7=3']
Exploring Operation: 78/6=13, Resulting Numbers: [3, 13]
Generated Node #3: [3, 13] from Operation: 78/6=13
Current State: 39:[3, 13], Operations: ['10-7=3', '78/6=13']
Exploring Operation: 3*13=39, Resulting Numbers: [39]
39,39 equal: Goal Reached
| 4 |
[
50,
42,
52,
30
] | 47 | [
"52-42=10",
"30/10=3",
"50-3=47"
] | Current State: 47:[50, 42, 52, 30], Operations: []
Exploring Operation: 52-42=10, Resulting Numbers: [50, 30, 10]
Generated Node #2: [50, 30, 10] from Operation: 52-42=10
Current State: 47:[50, 30, 10], Operations: ['52-42=10']
Exploring Operation: 30/10=3, Resulting Numbers: [50, 3]
Generated Node #3: [50, 3] from Operation: 30/10=3
Current State: 47:[50, 3], Operations: ['52-42=10', '30/10=3']
Exploring Operation: 50-3=47, Resulting Numbers: [47]
47,47 equal: Goal Reached
| 4 |
[
71,
75,
5,
11
] | 49 | [
"75-71=4",
"11*4=44",
"5+44=49"
] | Current State: 49:[71, 75, 5, 11], Operations: []
Exploring Operation: 75-71=4, Resulting Numbers: [5, 11, 4]
Generated Node #2: [5, 11, 4] from Operation: 75-71=4
Current State: 49:[5, 11, 4], Operations: ['75-71=4']
Exploring Operation: 11*4=44, Resulting Numbers: [5, 44]
Generated Node #3: [5, 44] from Operation: 11*4=44
Current State: 49:[5, 44], Operations: ['75-71=4', '11*4=44']
Exploring Operation: 5+44=49, Resulting Numbers: [49]
49,49 equal: Goal Reached
| 4 |
[
66,
90,
24,
37
] | 36 | [
"90-66=24",
"24/24=1",
"37-1=36"
] | Current State: 36:[66, 90, 24, 37], Operations: []
Exploring Operation: 90-66=24, Resulting Numbers: [24, 37, 24]
Generated Node #2: [24, 37, 24] from Operation: 90-66=24
Current State: 36:[24, 37, 24], Operations: ['90-66=24']
Exploring Operation: 24/24=1, Resulting Numbers: [37, 1]
Generated Node #3: [37, 1] from Operation: 24/24=1
Current State: 36:[37, 1], Operations: ['90-66=24', '24/24=1']
Exploring Operation: 37-1=36, Resulting Numbers: [36]
36,36 equal: Goal Reached
| 4 |
[
67,
30,
23,
74
] | 71 | [
"67+23=90",
"90/30=3",
"74-3=71"
] | Current State: 71:[67, 30, 23, 74], Operations: []
Exploring Operation: 67+23=90, Resulting Numbers: [30, 74, 90]
Generated Node #2: [30, 74, 90] from Operation: 67+23=90
Current State: 71:[30, 74, 90], Operations: ['67+23=90']
Exploring Operation: 90/30=3, Resulting Numbers: [74, 3]
Generated Node #3: [74, 3] from Operation: 90/30=3
Current State: 71:[74, 3], Operations: ['67+23=90', '90/30=3']
Exploring Operation: 74-3=71, Resulting Numbers: [71]
71,71 equal: Goal Reached
| 4 |
[
80,
10,
81,
18
] | 29 | [
"80-10=70",
"81+18=99",
"99-70=29"
] | Current State: 29:[80, 10, 81, 18], Operations: []
Exploring Operation: 80-10=70, Resulting Numbers: [81, 18, 70]
Generated Node #2: [81, 18, 70] from Operation: 80-10=70
Current State: 29:[81, 18, 70], Operations: ['80-10=70']
Exploring Operation: 81+18=99, Resulting Numbers: [70, 99]
Generated Node #3: [70, 99] from Operation: 81+18=99
Current State: 29:[70, 99], Operations: ['80-10=70', '81+18=99']
Exploring Operation: 99-70=29, Resulting Numbers: [29]
29,29 equal: Goal Reached
| 4 |
[
8,
3,
27,
56
] | 72 | [
"8+3=11",
"27+56=83",
"83-11=72"
] | Current State: 72:[8, 3, 27, 56], Operations: []
Exploring Operation: 8+3=11, Resulting Numbers: [27, 56, 11]
Generated Node #2: [27, 56, 11] from Operation: 8+3=11
Current State: 72:[27, 56, 11], Operations: ['8+3=11']
Exploring Operation: 27+56=83, Resulting Numbers: [11, 83]
Generated Node #3: [11, 83] from Operation: 27+56=83
Current State: 72:[11, 83], Operations: ['8+3=11', '27+56=83']
Exploring Operation: 83-11=72, Resulting Numbers: [72]
72,72 equal: Goal Reached
| 4 |
[
40,
85,
38,
76
] | 83 | [
"85-40=45",
"76-38=38",
"45+38=83"
] | Current State: 83:[40, 85, 38, 76], Operations: []
Exploring Operation: 85-40=45, Resulting Numbers: [38, 76, 45]
Generated Node #2: [38, 76, 45] from Operation: 85-40=45
Current State: 83:[38, 76, 45], Operations: ['85-40=45']
Exploring Operation: 76-38=38, Resulting Numbers: [45, 38]
Generated Node #3: [45, 38] from Operation: 76-38=38
Current State: 83:[45, 38], Operations: ['85-40=45', '76-38=38']
Exploring Operation: 45+38=83, Resulting Numbers: [83]
83,83 equal: Goal Reached
| 4 |
[
62,
52,
5,
1
] | 15 | [
"62-52=10",
"5*1=5",
"10+5=15"
] | Current State: 15:[62, 52, 5, 1], Operations: []
Exploring Operation: 62-52=10, Resulting Numbers: [5, 1, 10]
Generated Node #2: [5, 1, 10] from Operation: 62-52=10
Current State: 15:[5, 1, 10], Operations: ['62-52=10']
Exploring Operation: 5*1=5, Resulting Numbers: [10, 5]
Generated Node #3: [10, 5] from Operation: 5*1=5
Current State: 15:[10, 5], Operations: ['62-52=10', '5*1=5']
Exploring Operation: 10+5=15, Resulting Numbers: [15]
15,15 equal: Goal Reached
| 4 |
[
24,
20,
98,
24
] | 78 | [
"24+20=44",
"98+24=122",
"122-44=78"
] | Current State: 78:[24, 20, 98, 24], Operations: []
Exploring Operation: 24+20=44, Resulting Numbers: [98, 44]
Generated Node #2: [98, 44] from Operation: 24+20=44
Current State: 78:[98, 44], Operations: ['24+20=44']
Exploring Operation: 98+24=122, Resulting Numbers: [44, 122]
Generated Node #3: [44, 122] from Operation: 98+24=122
Current State: 78:[44, 122], Operations: ['24+20=44', '98+24=122']
Exploring Operation: 122-44=78, Resulting Numbers: [78]
78,78 equal: Goal Reached
| 4 |
[
85,
83,
51,
52
] | 25 | [
"85-83=2",
"52/2=26",
"51-26=25"
] | Current State: 25:[85, 83, 51, 52], Operations: []
Exploring Operation: 85-83=2, Resulting Numbers: [51, 52, 2]
Generated Node #2: [51, 52, 2] from Operation: 85-83=2
Current State: 25:[51, 52, 2], Operations: ['85-83=2']
Exploring Operation: 52/2=26, Resulting Numbers: [51, 26]
Generated Node #3: [51, 26] from Operation: 52/2=26
Current State: 25:[51, 26], Operations: ['85-83=2', '52/2=26']
Exploring Operation: 51-26=25, Resulting Numbers: [25]
25,25 equal: Goal Reached
| 4 |
[
53,
96,
80,
49
] | 74 | [
"96-53=43",
"80-49=31",
"43+31=74"
] | Current State: 74:[53, 96, 80, 49], Operations: []
Exploring Operation: 96-53=43, Resulting Numbers: [80, 49, 43]
Generated Node #2: [80, 49, 43] from Operation: 96-53=43
Current State: 74:[80, 49, 43], Operations: ['96-53=43']
Exploring Operation: 80-49=31, Resulting Numbers: [43, 31]
Generated Node #3: [43, 31] from Operation: 80-49=31
Current State: 74:[43, 31], Operations: ['96-53=43', '80-49=31']
Exploring Operation: 43+31=74, Resulting Numbers: [74]
74,74 equal: Goal Reached
| 4 |
[
8,
21,
89,
52
] | 15 | [
"89-21=68",
"52+68=120",
"120/8=15"
] | Current State: 15:[8, 21, 89, 52], Operations: []
Exploring Operation: 89-21=68, Resulting Numbers: [8, 52, 68]
Generated Node #2: [8, 52, 68] from Operation: 89-21=68
Current State: 15:[8, 52, 68], Operations: ['89-21=68']
Exploring Operation: 52+68=120, Resulting Numbers: [8, 120]
Generated Node #3: [8, 120] from Operation: 52+68=120
Current State: 15:[8, 120], Operations: ['89-21=68', '52+68=120']
Exploring Operation: 120/8=15, Resulting Numbers: [15]
15,15 equal: Goal Reached
| 4 |
[
8,
82,
2,
23
] | 55 | [
"8/2=4",
"82-23=59",
"59-4=55"
] | Current State: 55:[8, 82, 2, 23], Operations: []
Exploring Operation: 8/2=4, Resulting Numbers: [82, 23, 4]
Generated Node #2: [82, 23, 4] from Operation: 8/2=4
Current State: 55:[82, 23, 4], Operations: ['8/2=4']
Exploring Operation: 82-23=59, Resulting Numbers: [4, 59]
Generated Node #3: [4, 59] from Operation: 82-23=59
Current State: 55:[4, 59], Operations: ['8/2=4', '82-23=59']
Exploring Operation: 59-4=55, Resulting Numbers: [55]
55,55 equal: Goal Reached
| 4 |
[
12,
31,
18,
38
] | 26 | [
"18*38=684",
"684/12=57",
"57-31=26"
] | Current State: 26:[12, 31, 18, 38], Operations: []
Exploring Operation: 18*38=684, Resulting Numbers: [12, 31, 684]
Generated Node #2: [12, 31, 684] from Operation: 18*38=684
Current State: 26:[12, 31, 684], Operations: ['18*38=684']
Exploring Operation: 684/12=57, Resulting Numbers: [31, 57]
Generated Node #3: [31, 57] from Operation: 684/12=57
Current State: 26:[31, 57], Operations: ['18*38=684', '684/12=57']
Exploring Operation: 57-31=26, Resulting Numbers: [26]
26,26 equal: Goal Reached
| 4 |
[
44,
96,
4,
66
] | 76 | [
"96-66=30",
"4*30=120",
"120-44=76"
] | Current State: 76:[44, 96, 4, 66], Operations: []
Exploring Operation: 96-66=30, Resulting Numbers: [44, 4, 30]
Generated Node #2: [44, 4, 30] from Operation: 96-66=30
Current State: 76:[44, 4, 30], Operations: ['96-66=30']
Exploring Operation: 4*30=120, Resulting Numbers: [44, 120]
Generated Node #3: [44, 120] from Operation: 4*30=120
Current State: 76:[44, 120], Operations: ['96-66=30', '4*30=120']
Exploring Operation: 120-44=76, Resulting Numbers: [76]
76,76 equal: Goal Reached
| 4 |
[
21,
15,
84,
3
] | 24 | [
"21+15=36",
"3*36=108",
"108-84=24"
] | Current State: 24:[21, 15, 84, 3], Operations: []
Exploring Operation: 21+15=36, Resulting Numbers: [84, 3, 36]
Generated Node #2: [84, 3, 36] from Operation: 21+15=36
Current State: 24:[84, 3, 36], Operations: ['21+15=36']
Exploring Operation: 3*36=108, Resulting Numbers: [84, 108]
Generated Node #3: [84, 108] from Operation: 3*36=108
Current State: 24:[84, 108], Operations: ['21+15=36', '3*36=108']
Exploring Operation: 108-84=24, Resulting Numbers: [24]
24,24 equal: Goal Reached
| 4 |
[
28,
41,
68,
69
] | 69 | [
"28+41=69",
"69-68=1",
"69*1=69"
] | Current State: 69:[28, 41, 68, 69], Operations: []
Exploring Operation: 28+41=69, Resulting Numbers: [68, 69, 69]
Generated Node #2: [68, 69, 69] from Operation: 28+41=69
Current State: 69:[68, 69, 69], Operations: ['28+41=69']
Exploring Operation: 69-68=1, Resulting Numbers: [1]
1,69 equal: Goal Reached
Exploring Operation: 69*1=69, Resulting Numbers: [69]
69,69 equal: Goal Reached
| 4 |
[
52,
48,
91,
59
] | 36 | [
"52-48=4",
"91-59=32",
"4+32=36"
] | Current State: 36:[52, 48, 91, 59], Operations: []
Exploring Operation: 52-48=4, Resulting Numbers: [91, 59, 4]
Generated Node #2: [91, 59, 4] from Operation: 52-48=4
Current State: 36:[91, 59, 4], Operations: ['52-48=4']
Exploring Operation: 91-59=32, Resulting Numbers: [4, 32]
Generated Node #3: [4, 32] from Operation: 91-59=32
Current State: 36:[4, 32], Operations: ['52-48=4', '91-59=32']
Exploring Operation: 4+32=36, Resulting Numbers: [36]
36,36 equal: Goal Reached
| 4 |
[
10,
35,
42,
47
] | 35 | [
"10*42=420",
"47-35=12",
"420/12=35"
] | Current State: 35:[10, 35, 42, 47], Operations: []
Exploring Operation: 10*42=420, Resulting Numbers: [35, 47, 420]
Generated Node #2: [35, 47, 420] from Operation: 10*42=420
Current State: 35:[35, 47, 420], Operations: ['10*42=420']
Exploring Operation: 47-35=12, Resulting Numbers: [420, 12]
Generated Node #3: [420, 12] from Operation: 47-35=12
Current State: 35:[420, 12], Operations: ['10*42=420', '47-35=12']
Exploring Operation: 420/12=35, Resulting Numbers: [35]
35,35 equal: Goal Reached
| 4 |
[
9,
8,
66,
69
] | 96 | [
"66-9=57",
"69-57=12",
"8*12=96"
] | Current State: 96:[9, 8, 66, 69], Operations: []
Exploring Operation: 66-9=57, Resulting Numbers: [8, 69, 57]
Generated Node #2: [8, 69, 57] from Operation: 66-9=57
Current State: 96:[8, 69, 57], Operations: ['66-9=57']
Exploring Operation: 69-57=12, Resulting Numbers: [8, 12]
Generated Node #3: [8, 12] from Operation: 69-57=12
Current State: 96:[8, 12], Operations: ['66-9=57', '69-57=12']
Exploring Operation: 8*12=96, Resulting Numbers: [96]
96,96 equal: Goal Reached
| 4 |
[
14,
77,
15,
28
] | 48 | [
"14+77=91",
"15+28=43",
"91-43=48"
] | Current State: 48:[14, 77, 15, 28], Operations: []
Exploring Operation: 14+77=91, Resulting Numbers: [15, 28, 91]
Generated Node #2: [15, 28, 91] from Operation: 14+77=91
Current State: 48:[15, 28, 91], Operations: ['14+77=91']
Exploring Operation: 15+28=43, Resulting Numbers: [91, 43]
Generated Node #3: [91, 43] from Operation: 15+28=43
Current State: 48:[91, 43], Operations: ['14+77=91', '15+28=43']
Exploring Operation: 91-43=48, Resulting Numbers: [48]
48,48 equal: Goal Reached
| 4 |
[
3,
74,
30,
32
] | 74 | [
"3+30=33",
"33-32=1",
"74*1=74"
] | Current State: 74:[3, 74, 30, 32], Operations: []
Exploring Operation: 3+30=33, Resulting Numbers: [74, 32, 33]
Generated Node #2: [74, 32, 33] from Operation: 3+30=33
Current State: 74:[74, 32, 33], Operations: ['3+30=33']
Exploring Operation: 33-32=1, Resulting Numbers: [74, 1]
Generated Node #3: [74, 1] from Operation: 33-32=1
Current State: 74:[74, 1], Operations: ['3+30=33', '33-32=1']
Exploring Operation: 74*1=74, Resulting Numbers: [74]
74,74 equal: Goal Reached
| 4 |
[
17,
32,
9,
73
] | 69 | [
"17-9=8",
"32/8=4",
"73-4=69"
] | Current State: 69:[17, 32, 9, 73], Operations: []
Exploring Operation: 17-9=8, Resulting Numbers: [32, 73, 8]
Generated Node #2: [32, 73, 8] from Operation: 17-9=8
Current State: 69:[32, 73, 8], Operations: ['17-9=8']
Exploring Operation: 32/8=4, Resulting Numbers: [73, 4]
Generated Node #3: [73, 4] from Operation: 32/8=4
Current State: 69:[73, 4], Operations: ['17-9=8', '32/8=4']
Exploring Operation: 73-4=69, Resulting Numbers: [69]
69,69 equal: Goal Reached
| 4 |
[
8,
41,
33,
4
] | 100 | [
"8*33=264",
"41*4=164",
"264-164=100"
] | Current State: 100:[8, 41, 33, 4], Operations: []
Exploring Operation: 8*33=264, Resulting Numbers: [41, 4, 264]
Generated Node #2: [41, 4, 264] from Operation: 8*33=264
Current State: 100:[41, 4, 264], Operations: ['8*33=264']
Exploring Operation: 41*4=164, Resulting Numbers: [264, 164]
Generated Node #3: [264, 164] from Operation: 41*4=164
Current State: 100:[264, 164], Operations: ['8*33=264', '41*4=164']
Exploring Operation: 264-164=100, Resulting Numbers: [100]
100,100 equal: Goal Reached
| 4 |
[
84,
79,
39,
14
] | 48 | [
"84-79=5",
"39+14=53",
"53-5=48"
] | Current State: 48:[84, 79, 39, 14], Operations: []
Exploring Operation: 84-79=5, Resulting Numbers: [39, 14, 5]
Generated Node #2: [39, 14, 5] from Operation: 84-79=5
Current State: 48:[39, 14, 5], Operations: ['84-79=5']
Exploring Operation: 39+14=53, Resulting Numbers: [5, 53]
Generated Node #3: [5, 53] from Operation: 39+14=53
Current State: 48:[5, 53], Operations: ['84-79=5', '39+14=53']
Exploring Operation: 53-5=48, Resulting Numbers: [48]
48,48 equal: Goal Reached
| 4 |
[
66,
22,
83,
59
] | 94 | [
"66/22=3",
"59*3=177",
"177-83=94"
] | Current State: 94:[66, 22, 83, 59], Operations: []
Exploring Operation: 66/22=3, Resulting Numbers: [83, 59, 3]
Generated Node #2: [83, 59, 3] from Operation: 66/22=3
Current State: 94:[83, 59, 3], Operations: ['66/22=3']
Exploring Operation: 59*3=177, Resulting Numbers: [83, 177]
Generated Node #3: [83, 177] from Operation: 59*3=177
Current State: 94:[83, 177], Operations: ['66/22=3', '59*3=177']
Exploring Operation: 177-83=94, Resulting Numbers: [94]
94,94 equal: Goal Reached
| 4 |
[
93,
40,
33,
52
] | 33 | [
"93-40=53",
"53-52=1",
"33*1=33"
] | Current State: 33:[93, 40, 33, 52], Operations: []
Exploring Operation: 93-40=53, Resulting Numbers: [33, 52, 53]
Generated Node #2: [33, 52, 53] from Operation: 93-40=53
Current State: 33:[33, 52, 53], Operations: ['93-40=53']
Exploring Operation: 53-52=1, Resulting Numbers: [33, 1]
Generated Node #3: [33, 1] from Operation: 53-52=1
Current State: 33:[33, 1], Operations: ['93-40=53', '53-52=1']
Exploring Operation: 33*1=33, Resulting Numbers: [33]
33,33 equal: Goal Reached
| 4 |
[
21,
15,
18,
17
] | 34 | [
"21+15=36",
"36/18=2",
"17*2=34"
] | Current State: 34:[21, 15, 18, 17], Operations: []
Exploring Operation: 21+15=36, Resulting Numbers: [18, 17, 36]
Generated Node #2: [18, 17, 36] from Operation: 21+15=36
Current State: 34:[18, 17, 36], Operations: ['21+15=36']
Exploring Operation: 36/18=2, Resulting Numbers: [17, 2]
Generated Node #3: [17, 2] from Operation: 36/18=2
Current State: 34:[17, 2], Operations: ['21+15=36', '36/18=2']
Exploring Operation: 17*2=34, Resulting Numbers: [34]
34,34 equal: Goal Reached
| 4 |
[
1,
58,
54,
63
] | 66 | [
"58-1=57",
"63-54=9",
"57+9=66"
] | Current State: 66:[1, 58, 54, 63], Operations: []
Exploring Operation: 58-1=57, Resulting Numbers: [54, 63, 57]
Generated Node #2: [54, 63, 57] from Operation: 58-1=57
Current State: 66:[54, 63, 57], Operations: ['58-1=57']
Exploring Operation: 63-54=9, Resulting Numbers: [57, 9]
Generated Node #3: [57, 9] from Operation: 63-54=9
Current State: 66:[57, 9], Operations: ['58-1=57', '63-54=9']
Exploring Operation: 57+9=66, Resulting Numbers: [66]
66,66 equal: Goal Reached
| 4 |
[
90,
9,
25,
93
] | 37 | [
"90-9=81",
"25+93=118",
"118-81=37"
] | Current State: 37:[90, 9, 25, 93], Operations: []
Exploring Operation: 90-9=81, Resulting Numbers: [25, 93, 81]
Generated Node #2: [25, 93, 81] from Operation: 90-9=81
Current State: 37:[25, 93, 81], Operations: ['90-9=81']
Exploring Operation: 25+93=118, Resulting Numbers: [81, 118]
Generated Node #3: [81, 118] from Operation: 25+93=118
Current State: 37:[81, 118], Operations: ['90-9=81', '25+93=118']
Exploring Operation: 118-81=37, Resulting Numbers: [37]
37,37 equal: Goal Reached
| 4 |
[
37,
43,
55,
37
] | 13 | [
"37/37=1",
"55-43=12",
"1+12=13"
] | Current State: 13:[37, 43, 55, 37], Operations: []
Exploring Operation: 37/37=1, Resulting Numbers: [43, 55, 1]
Generated Node #2: [43, 55, 1] from Operation: 37/37=1
Current State: 13:[43, 55, 1], Operations: ['37/37=1']
Exploring Operation: 55-43=12, Resulting Numbers: [1, 12]
Generated Node #3: [1, 12] from Operation: 55-43=12
Current State: 13:[1, 12], Operations: ['37/37=1', '55-43=12']
Exploring Operation: 1+12=13, Resulting Numbers: [13]
13,13 equal: Goal Reached
| 4 |
[
57,
80,
2,
98
] | 59 | [
"57+80=137",
"2*98=196",
"196-137=59"
] | Current State: 59:[57, 80, 2, 98], Operations: []
Exploring Operation: 57+80=137, Resulting Numbers: [2, 98, 137]
Generated Node #2: [2, 98, 137] from Operation: 57+80=137
Current State: 59:[2, 98, 137], Operations: ['57+80=137']
Exploring Operation: 2*98=196, Resulting Numbers: [137, 196]
Generated Node #3: [137, 196] from Operation: 2*98=196
Current State: 59:[137, 196], Operations: ['57+80=137', '2*98=196']
Exploring Operation: 196-137=59, Resulting Numbers: [59]
59,59 equal: Goal Reached
| 4 |
[
70,
64,
28,
59
] | 14 | [
"64-59=5",
"70/5=14",
"28-14=14"
] | Current State: 14:[70, 64, 28, 59], Operations: []
Exploring Operation: 64-59=5, Resulting Numbers: [70, 28, 5]
Generated Node #2: [70, 28, 5] from Operation: 64-59=5
Current State: 14:[70, 28, 5], Operations: ['64-59=5']
Exploring Operation: 70/5=14, Resulting Numbers: [28, 14]
Generated Node #3: [28, 14] from Operation: 70/5=14
Current State: 14:[28, 14], Operations: ['64-59=5', '70/5=14']
Exploring Operation: 28-14=14, Resulting Numbers: [14]
14,14 equal: Goal Reached
| 4 |
[
85,
69,
13,
55
] | 97 | [
"69-55=14",
"13*14=182",
"182-85=97"
] | Current State: 97:[85, 69, 13, 55], Operations: []
Exploring Operation: 69-55=14, Resulting Numbers: [85, 13, 14]
Generated Node #2: [85, 13, 14] from Operation: 69-55=14
Current State: 97:[85, 13, 14], Operations: ['69-55=14']
Exploring Operation: 13*14=182, Resulting Numbers: [85, 182]
Generated Node #3: [85, 182] from Operation: 13*14=182
Current State: 97:[85, 182], Operations: ['69-55=14', '13*14=182']
Exploring Operation: 182-85=97, Resulting Numbers: [97]
97,97 equal: Goal Reached
| 4 |
[
83,
63,
32,
96
] | 84 | [
"83-63=20",
"96-32=64",
"20+64=84"
] | Current State: 84:[83, 63, 32, 96], Operations: []
Exploring Operation: 83-63=20, Resulting Numbers: [32, 96, 20]
Generated Node #2: [32, 96, 20] from Operation: 83-63=20
Current State: 84:[32, 96, 20], Operations: ['83-63=20']
Exploring Operation: 96-32=64, Resulting Numbers: [20, 64]
Generated Node #3: [20, 64] from Operation: 96-32=64
Current State: 84:[20, 64], Operations: ['83-63=20', '96-32=64']
Exploring Operation: 20+64=84, Resulting Numbers: [84]
84,84 equal: Goal Reached
| 4 |
[
2,
19,
32,
36
] | 69 | [
"36/2=18",
"19+32=51",
"18+51=69"
] | Current State: 69:[2, 19, 32, 36], Operations: []
Exploring Operation: 36/2=18, Resulting Numbers: [19, 32, 18]
Generated Node #2: [19, 32, 18] from Operation: 36/2=18
Current State: 69:[19, 32, 18], Operations: ['36/2=18']
Exploring Operation: 19+32=51, Resulting Numbers: [18, 51]
Generated Node #3: [18, 51] from Operation: 19+32=51
Current State: 69:[18, 51], Operations: ['36/2=18', '19+32=51']
Exploring Operation: 18+51=69, Resulting Numbers: [69]
69,69 equal: Goal Reached
| 4 |
[
9,
44,
77,
2
] | 87 | [
"9+77=86",
"86/2=43",
"44+43=87"
] | Current State: 87:[9, 44, 77, 2], Operations: []
Exploring Operation: 9+77=86, Resulting Numbers: [44, 2, 86]
Generated Node #2: [44, 2, 86] from Operation: 9+77=86
Current State: 87:[44, 2, 86], Operations: ['9+77=86']
Exploring Operation: 86/2=43, Resulting Numbers: [44, 43]
Generated Node #3: [44, 43] from Operation: 86/2=43
Current State: 87:[44, 43], Operations: ['9+77=86', '86/2=43']
Exploring Operation: 44+43=87, Resulting Numbers: [87]
87,87 equal: Goal Reached
| 4 |
[
33,
12,
9,
7
] | 90 | [
"33+12=45",
"9-7=2",
"45*2=90"
] | Current State: 90:[33, 12, 9, 7], Operations: []
Exploring Operation: 33+12=45, Resulting Numbers: [9, 7, 45]
Generated Node #2: [9, 7, 45] from Operation: 33+12=45
Current State: 90:[9, 7, 45], Operations: ['33+12=45']
Exploring Operation: 9-7=2, Resulting Numbers: [45, 2]
Generated Node #3: [45, 2] from Operation: 9-7=2
Current State: 90:[45, 2], Operations: ['33+12=45', '9-7=2']
Exploring Operation: 45*2=90, Resulting Numbers: [90]
90,90 equal: Goal Reached
| 4 |
[
13,
41,
89,
7
] | 85 | [
"41-13=28",
"28/7=4",
"89-4=85"
] | Current State: 85:[13, 41, 89, 7], Operations: []
Exploring Operation: 41-13=28, Resulting Numbers: [89, 7, 28]
Generated Node #2: [89, 7, 28] from Operation: 41-13=28
Current State: 85:[89, 7, 28], Operations: ['41-13=28']
Exploring Operation: 28/7=4, Resulting Numbers: [89, 4]
Generated Node #3: [89, 4] from Operation: 28/7=4
Current State: 85:[89, 4], Operations: ['41-13=28', '28/7=4']
Exploring Operation: 89-4=85, Resulting Numbers: [85]
85,85 equal: Goal Reached
| 4 |
[
61,
47,
66,
7
] | 82 | [
"66-61=5",
"7*5=35",
"47+35=82"
] | Current State: 82:[61, 47, 66, 7], Operations: []
Exploring Operation: 66-61=5, Resulting Numbers: [47, 7, 5]
Generated Node #2: [47, 7, 5] from Operation: 66-61=5
Current State: 82:[47, 7, 5], Operations: ['66-61=5']
Exploring Operation: 7*5=35, Resulting Numbers: [47, 35]
Generated Node #3: [47, 35] from Operation: 7*5=35
Current State: 82:[47, 35], Operations: ['66-61=5', '7*5=35']
Exploring Operation: 47+35=82, Resulting Numbers: [82]
82,82 equal: Goal Reached
| 4 |
[
47,
4,
24,
7
] | 34 | [
"47+4=51",
"24-7=17",
"51-17=34"
] | Current State: 34:[47, 4, 24, 7], Operations: []
Exploring Operation: 47+4=51, Resulting Numbers: [24, 7, 51]
Generated Node #2: [24, 7, 51] from Operation: 47+4=51
Current State: 34:[24, 7, 51], Operations: ['47+4=51']
Exploring Operation: 24-7=17, Resulting Numbers: [51, 17]
Generated Node #3: [51, 17] from Operation: 24-7=17
Current State: 34:[51, 17], Operations: ['47+4=51', '24-7=17']
Exploring Operation: 51-17=34, Resulting Numbers: [34]
34,34 equal: Goal Reached
| 4 |
[
2,
5,
51,
32
] | 93 | [
"2*5=10",
"51+32=83",
"10+83=93"
] | Current State: 93:[2, 5, 51, 32], Operations: []
Exploring Operation: 2*5=10, Resulting Numbers: [51, 32, 10]
Generated Node #2: [51, 32, 10] from Operation: 2*5=10
Current State: 93:[51, 32, 10], Operations: ['2*5=10']
Exploring Operation: 51+32=83, Resulting Numbers: [10, 83]
Generated Node #3: [10, 83] from Operation: 51+32=83
Current State: 93:[10, 83], Operations: ['2*5=10', '51+32=83']
Exploring Operation: 10+83=93, Resulting Numbers: [93]
93,93 equal: Goal Reached
| 4 |
[
44,
60,
6,
90
] | 69 | [
"60+90=150",
"150/6=25",
"44+25=69"
] | Current State: 69:[44, 60, 6, 90], Operations: []
Exploring Operation: 60+90=150, Resulting Numbers: [44, 6, 150]
Generated Node #2: [44, 6, 150] from Operation: 60+90=150
Current State: 69:[44, 6, 150], Operations: ['60+90=150']
Exploring Operation: 150/6=25, Resulting Numbers: [44, 25]
Generated Node #3: [44, 25] from Operation: 150/6=25
Current State: 69:[44, 25], Operations: ['60+90=150', '150/6=25']
Exploring Operation: 44+25=69, Resulting Numbers: [69]
69,69 equal: Goal Reached
| 4 |
[
2,
16,
69,
31
] | 30 | [
"16/2=8",
"69-31=38",
"38-8=30"
] | Current State: 30:[2, 16, 69, 31], Operations: []
Exploring Operation: 16/2=8, Resulting Numbers: [69, 31, 8]
Generated Node #2: [69, 31, 8] from Operation: 16/2=8
Current State: 30:[69, 31, 8], Operations: ['16/2=8']
Exploring Operation: 69-31=38, Resulting Numbers: [8, 38]
Generated Node #3: [8, 38] from Operation: 69-31=38
Current State: 30:[8, 38], Operations: ['16/2=8', '69-31=38']
Exploring Operation: 38-8=30, Resulting Numbers: [30]
30,30 equal: Goal Reached
| 4 |
[
72,
6,
52,
24
] | 94 | [
"72-6=66",
"52-24=28",
"66+28=94"
] | Current State: 94:[72, 6, 52, 24], Operations: []
Exploring Operation: 72-6=66, Resulting Numbers: [52, 24, 66]
Generated Node #2: [52, 24, 66] from Operation: 72-6=66
Current State: 94:[52, 24, 66], Operations: ['72-6=66']
Exploring Operation: 52-24=28, Resulting Numbers: [66, 28]
Generated Node #3: [66, 28] from Operation: 52-24=28
Current State: 94:[66, 28], Operations: ['72-6=66', '52-24=28']
Exploring Operation: 66+28=94, Resulting Numbers: [94]
94,94 equal: Goal Reached
| 4 |
[
45,
66,
26,
13
] | 65 | [
"66-45=21",
"26-21=5",
"13*5=65"
] | Current State: 65:[45, 66, 26, 13], Operations: []
Exploring Operation: 66-45=21, Resulting Numbers: [26, 13, 21]
Generated Node #2: [26, 13, 21] from Operation: 66-45=21
Current State: 65:[26, 13, 21], Operations: ['66-45=21']
Exploring Operation: 26-21=5, Resulting Numbers: [13, 5]
Generated Node #3: [13, 5] from Operation: 26-21=5
Current State: 65:[13, 5], Operations: ['66-45=21', '26-21=5']
Exploring Operation: 13*5=65, Resulting Numbers: [65]
65,65 equal: Goal Reached
| 4 |
[
50,
18,
64,
2
] | 100 | [
"50+18=68",
"64/2=32",
"68+32=100"
] | Current State: 100:[50, 18, 64, 2], Operations: []
Exploring Operation: 50+18=68, Resulting Numbers: [64, 2, 68]
Generated Node #2: [64, 2, 68] from Operation: 50+18=68
Current State: 100:[64, 2, 68], Operations: ['50+18=68']
Exploring Operation: 64/2=32, Resulting Numbers: [68, 32]
Generated Node #3: [68, 32] from Operation: 64/2=32
Current State: 100:[68, 32], Operations: ['50+18=68', '64/2=32']
Exploring Operation: 68+32=100, Resulting Numbers: [100]
100,100 equal: Goal Reached
| 4 |
[
39,
22,
56,
53
] | 64 | [
"39+22=61",
"56-53=3",
"61+3=64"
] | Current State: 64:[39, 22, 56, 53], Operations: []
Exploring Operation: 39+22=61, Resulting Numbers: [56, 53, 61]
Generated Node #2: [56, 53, 61] from Operation: 39+22=61
Current State: 64:[56, 53, 61], Operations: ['39+22=61']
Exploring Operation: 56-53=3, Resulting Numbers: [61, 3]
Generated Node #3: [61, 3] from Operation: 56-53=3
Current State: 64:[61, 3], Operations: ['39+22=61', '56-53=3']
Exploring Operation: 61+3=64, Resulting Numbers: [64]
64,64 equal: Goal Reached
| 4 |
[
10,
1,
17,
4
] | 11 | [
"10*1=10",
"17+4=21",
"21-10=11"
] | Current State: 11:[10, 1, 17, 4], Operations: []
Exploring Operation: 10*1=10, Resulting Numbers: [17, 4, 10]
Generated Node #2: [17, 4, 10] from Operation: 10*1=10
Current State: 11:[17, 4, 10], Operations: ['10*1=10']
Exploring Operation: 17+4=21, Resulting Numbers: [10, 21]
Generated Node #3: [10, 21] from Operation: 17+4=21
Current State: 11:[10, 21], Operations: ['10*1=10', '17+4=21']
Exploring Operation: 21-10=11, Resulting Numbers: [11]
11,11 equal: Goal Reached
| 4 |
[
70,
73,
68,
38
] | 46 | [
"73-70=3",
"38*3=114",
"114-68=46"
] | Current State: 46:[70, 73, 68, 38], Operations: []
Exploring Operation: 73-70=3, Resulting Numbers: [68, 38, 3]
Generated Node #2: [68, 38, 3] from Operation: 73-70=3
Current State: 46:[68, 38, 3], Operations: ['73-70=3']
Exploring Operation: 38*3=114, Resulting Numbers: [68, 114]
Generated Node #3: [68, 114] from Operation: 38*3=114
Current State: 46:[68, 114], Operations: ['73-70=3', '38*3=114']
Exploring Operation: 114-68=46, Resulting Numbers: [46]
46,46 equal: Goal Reached
| 4 |
[
31,
28,
48,
98
] | 87 | [
"31+28=59",
"48+98=146",
"146-59=87"
] | Current State: 87:[31, 28, 48, 98], Operations: []
Exploring Operation: 31+28=59, Resulting Numbers: [48, 98, 59]
Generated Node #2: [48, 98, 59] from Operation: 31+28=59
Current State: 87:[48, 98, 59], Operations: ['31+28=59']
Exploring Operation: 48+98=146, Resulting Numbers: [59, 146]
Generated Node #3: [59, 146] from Operation: 48+98=146
Current State: 87:[59, 146], Operations: ['31+28=59', '48+98=146']
Exploring Operation: 146-59=87, Resulting Numbers: [87]
87,87 equal: Goal Reached
| 4 |
[
14,
94,
61,
15
] | 33 | [
"15-14=1",
"94-61=33",
"1*33=33"
] | Current State: 33:[14, 94, 61, 15], Operations: []
Exploring Operation: 15-14=1, Resulting Numbers: [94, 61, 1]
Generated Node #2: [94, 61, 1] from Operation: 15-14=1
Current State: 33:[94, 61, 1], Operations: ['15-14=1']
Exploring Operation: 94-61=33, Resulting Numbers: [1, 33]
Generated Node #3: [1, 33] from Operation: 94-61=33
Current State: 33:[1, 33], Operations: ['15-14=1', '94-61=33']
Exploring Operation: 1*33=33, Resulting Numbers: [33]
33,33 equal: Goal Reached
| 4 |
[
72,
73,
43,
11
] | 91 | [
"72+73=145",
"43+11=54",
"145-54=91"
] | Current State: 91:[72, 73, 43, 11], Operations: []
Exploring Operation: 72+73=145, Resulting Numbers: [43, 11, 145]
Generated Node #2: [43, 11, 145] from Operation: 72+73=145
Current State: 91:[43, 11, 145], Operations: ['72+73=145']
Exploring Operation: 43+11=54, Resulting Numbers: [145, 54]
Generated Node #3: [145, 54] from Operation: 43+11=54
Current State: 91:[145, 54], Operations: ['72+73=145', '43+11=54']
Exploring Operation: 145-54=91, Resulting Numbers: [91]
91,91 equal: Goal Reached
| 4 |
[
77,
70,
20,
70
] | 23 | [
"77*20=1540",
"70+1540=1610",
"1610/70=23"
] | Current State: 23:[77, 70, 20, 70], Operations: []
Exploring Operation: 77*20=1540, Resulting Numbers: [70, 70, 1540]
Generated Node #2: [70, 70, 1540] from Operation: 77*20=1540
Current State: 23:[70, 70, 1540], Operations: ['77*20=1540']
Exploring Operation: 70+1540=1610, Resulting Numbers: [1610]
1610,23 equal: Goal Reached
Exploring Operation: 1610/70=23, Resulting Numbers: [23]
23,23 equal: Goal Reached
| 4 |
[
8,
60,
45,
2
] | 89 | [
"8*2=16",
"60+45=105",
"105-16=89"
] | Current State: 89:[8, 60, 45, 2], Operations: []
Exploring Operation: 8*2=16, Resulting Numbers: [60, 45, 16]
Generated Node #2: [60, 45, 16] from Operation: 8*2=16
Current State: 89:[60, 45, 16], Operations: ['8*2=16']
Exploring Operation: 60+45=105, Resulting Numbers: [16, 105]
Generated Node #3: [16, 105] from Operation: 60+45=105
Current State: 89:[16, 105], Operations: ['8*2=16', '60+45=105']
Exploring Operation: 105-16=89, Resulting Numbers: [89]
89,89 equal: Goal Reached
| 4 |
[
59,
62,
63,
30
] | 73 | [
"62-59=3",
"30/3=10",
"63+10=73"
] | Current State: 73:[59, 62, 63, 30], Operations: []
Exploring Operation: 62-59=3, Resulting Numbers: [63, 30, 3]
Generated Node #2: [63, 30, 3] from Operation: 62-59=3
Current State: 73:[63, 30, 3], Operations: ['62-59=3']
Exploring Operation: 30/3=10, Resulting Numbers: [63, 10]
Generated Node #3: [63, 10] from Operation: 30/3=10
Current State: 73:[63, 10], Operations: ['62-59=3', '30/3=10']
Exploring Operation: 63+10=73, Resulting Numbers: [73]
73,73 equal: Goal Reached
| 4 |
[
48,
63,
16,
10
] | 76 | [
"48/16=3",
"63+10=73",
"3+73=76"
] | Current State: 76:[48, 63, 16, 10], Operations: []
Exploring Operation: 48/16=3, Resulting Numbers: [63, 10, 3]
Generated Node #2: [63, 10, 3] from Operation: 48/16=3
Current State: 76:[63, 10, 3], Operations: ['48/16=3']
Exploring Operation: 63+10=73, Resulting Numbers: [3, 73]
Generated Node #3: [3, 73] from Operation: 63+10=73
Current State: 76:[3, 73], Operations: ['48/16=3', '63+10=73']
Exploring Operation: 3+73=76, Resulting Numbers: [76]
76,76 equal: Goal Reached
| 4 |
[
9,
62,
24,
29
] | 51 | [
"62*24=1488",
"1488-9=1479",
"1479/29=51"
] | Current State: 51:[9, 62, 24, 29], Operations: []
Exploring Operation: 62*24=1488, Resulting Numbers: [9, 29, 1488]
Generated Node #2: [9, 29, 1488] from Operation: 62*24=1488
Current State: 51:[9, 29, 1488], Operations: ['62*24=1488']
Exploring Operation: 1488-9=1479, Resulting Numbers: [29, 1479]
Generated Node #3: [29, 1479] from Operation: 1488-9=1479
Current State: 51:[29, 1479], Operations: ['62*24=1488', '1488-9=1479']
Exploring Operation: 1479/29=51, Resulting Numbers: [51]
51,51 equal: Goal Reached
| 4 |
[
61,
84,
59,
38
] | 92 | [
"61-59=2",
"84-38=46",
"2*46=92"
] | Current State: 92:[61, 84, 59, 38], Operations: []
Exploring Operation: 61-59=2, Resulting Numbers: [84, 38, 2]
Generated Node #2: [84, 38, 2] from Operation: 61-59=2
Current State: 92:[84, 38, 2], Operations: ['61-59=2']
Exploring Operation: 84-38=46, Resulting Numbers: [2, 46]
Generated Node #3: [2, 46] from Operation: 84-38=46
Current State: 92:[2, 46], Operations: ['61-59=2', '84-38=46']
Exploring Operation: 2*46=92, Resulting Numbers: [92]
92,92 equal: Goal Reached
| 4 |
[
2,
18,
52,
39
] | 23 | [
"2*18=36",
"52-39=13",
"36-13=23"
] | Current State: 23:[2, 18, 52, 39], Operations: []
Exploring Operation: 2*18=36, Resulting Numbers: [52, 39, 36]
Generated Node #2: [52, 39, 36] from Operation: 2*18=36
Current State: 23:[52, 39, 36], Operations: ['2*18=36']
Exploring Operation: 52-39=13, Resulting Numbers: [36, 13]
Generated Node #3: [36, 13] from Operation: 52-39=13
Current State: 23:[36, 13], Operations: ['2*18=36', '52-39=13']
Exploring Operation: 36-13=23, Resulting Numbers: [23]
23,23 equal: Goal Reached
| 4 |
[
72,
74,
25,
10
] | 40 | [
"74-72=2",
"25*2=50",
"50-10=40"
] | Current State: 40:[72, 74, 25, 10], Operations: []
Exploring Operation: 74-72=2, Resulting Numbers: [25, 10, 2]
Generated Node #2: [25, 10, 2] from Operation: 74-72=2
Current State: 40:[25, 10, 2], Operations: ['74-72=2']
Exploring Operation: 25*2=50, Resulting Numbers: [10, 50]
Generated Node #3: [10, 50] from Operation: 25*2=50
Current State: 40:[10, 50], Operations: ['74-72=2', '25*2=50']
Exploring Operation: 50-10=40, Resulting Numbers: [40]
40,40 equal: Goal Reached
| 4 |
[
36,
35,
88,
77
] | 11 | [
"36-35=1",
"88-77=11",
"1*11=11"
] | Current State: 11:[36, 35, 88, 77], Operations: []
Exploring Operation: 36-35=1, Resulting Numbers: [88, 77, 1]
Generated Node #2: [88, 77, 1] from Operation: 36-35=1
Current State: 11:[88, 77, 1], Operations: ['36-35=1']
Exploring Operation: 88-77=11, Resulting Numbers: [1, 11]
Generated Node #3: [1, 11] from Operation: 88-77=11
Current State: 11:[1, 11], Operations: ['36-35=1', '88-77=11']
Exploring Operation: 1*11=11, Resulting Numbers: [11]
11,11 equal: Goal Reached
| 4 |
[
14,
99,
14,
7
] | 66 | [
"14*99=1386",
"14+7=21",
"1386/21=66"
] | Current State: 66:[14, 99, 14, 7], Operations: []
Exploring Operation: 14*99=1386, Resulting Numbers: [7, 1386]
Generated Node #2: [7, 1386] from Operation: 14*99=1386
Current State: 66:[7, 1386], Operations: ['14*99=1386']
Exploring Operation: 14+7=21, Resulting Numbers: [1386, 21]
Generated Node #3: [1386, 21] from Operation: 14+7=21
Current State: 66:[1386, 21], Operations: ['14*99=1386', '14+7=21']
Exploring Operation: 1386/21=66, Resulting Numbers: [66]
66,66 equal: Goal Reached
| 4 |
[
11,
70,
42,
81
] | 79 | [
"81-70=11",
"11*11=121",
"121-42=79"
] | Current State: 79:[11, 70, 42, 81], Operations: []
Exploring Operation: 81-70=11, Resulting Numbers: [11, 42, 11]
Generated Node #2: [11, 42, 11] from Operation: 81-70=11
Current State: 79:[11, 42, 11], Operations: ['81-70=11']
Exploring Operation: 11*11=121, Resulting Numbers: [42, 121]
Generated Node #3: [42, 121] from Operation: 11*11=121
Current State: 79:[42, 121], Operations: ['81-70=11', '11*11=121']
Exploring Operation: 121-42=79, Resulting Numbers: [79]
79,79 equal: Goal Reached
| 4 |
[
30,
41,
88,
10
] | 22 | [
"41-30=11",
"10*11=110",
"110-88=22"
] | Current State: 22:[30, 41, 88, 10], Operations: []
Exploring Operation: 41-30=11, Resulting Numbers: [88, 10, 11]
Generated Node #2: [88, 10, 11] from Operation: 41-30=11
Current State: 22:[88, 10, 11], Operations: ['41-30=11']
Exploring Operation: 10*11=110, Resulting Numbers: [88, 110]
Generated Node #3: [88, 110] from Operation: 10*11=110
Current State: 22:[88, 110], Operations: ['41-30=11', '10*11=110']
Exploring Operation: 110-88=22, Resulting Numbers: [22]
22,22 equal: Goal Reached
| 4 |
[
47,
5,
16,
91
] | 58 | [
"47+91=138",
"5*16=80",
"138-80=58"
] | Current State: 58:[47, 5, 16, 91], Operations: []
Exploring Operation: 47+91=138, Resulting Numbers: [5, 16, 138]
Generated Node #2: [5, 16, 138] from Operation: 47+91=138
Current State: 58:[5, 16, 138], Operations: ['47+91=138']
Exploring Operation: 5*16=80, Resulting Numbers: [138, 80]
Generated Node #3: [138, 80] from Operation: 5*16=80
Current State: 58:[138, 80], Operations: ['47+91=138', '5*16=80']
Exploring Operation: 138-80=58, Resulting Numbers: [58]
58,58 equal: Goal Reached
| 4 |
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