nums listlengths 4 4 | target int64 10 100 | solution listlengths 3 3 | optimal_path stringlengths 282 529 | start_size int64 4 4 |
|---|---|---|---|---|
[
39,
14,
45,
84
] | 92 | [
"39+14=53",
"84-45=39",
"53+39=92"
] | Current State: 92:[39, 14, 45, 84], Operations: []
Exploring Operation: 39+14=53, Resulting Numbers: [45, 84, 53]
Generated Node #2: [45, 84, 53] from Operation: 39+14=53
Current State: 92:[45, 84, 53], Operations: ['39+14=53']
Exploring Operation: 84-45=39, Resulting Numbers: [53, 39]
Generated Node #3: [53, 39] from Operation: 84-45=39
Current State: 92:[53, 39], Operations: ['39+14=53', '84-45=39']
Exploring Operation: 53+39=92, Resulting Numbers: [92]
92,92 equal: Goal Reached
| 4 |
[
7,
17,
11,
18
] | 18 | [
"17-7=10",
"11-10=1",
"18*1=18"
] | Current State: 18:[7, 17, 11, 18], Operations: []
Exploring Operation: 17-7=10, Resulting Numbers: [11, 18, 10]
Generated Node #2: [11, 18, 10] from Operation: 17-7=10
Current State: 18:[11, 18, 10], Operations: ['17-7=10']
Exploring Operation: 11-10=1, Resulting Numbers: [18, 1]
Generated Node #3: [18, 1] from Operation: 11-10=1
Current State: 18:[18, 1], Operations: ['17-7=10', '11-10=1']
Exploring Operation: 18*1=18, Resulting Numbers: [18]
18,18 equal: Goal Reached
| 4 |
[
72,
76,
19,
26
] | 44 | [
"72*19=1368",
"1368/76=18",
"26+18=44"
] | Current State: 44:[72, 76, 19, 26], Operations: []
Exploring Operation: 72*19=1368, Resulting Numbers: [76, 26, 1368]
Generated Node #2: [76, 26, 1368] from Operation: 72*19=1368
Current State: 44:[76, 26, 1368], Operations: ['72*19=1368']
Exploring Operation: 1368/76=18, Resulting Numbers: [26, 18]
Generated Node #3: [26, 18] from Operation: 1368/76=18
Current State: 44:[26, 18], Operations: ['72*19=1368', '1368/76=18']
Exploring Operation: 26+18=44, Resulting Numbers: [44]
44,44 equal: Goal Reached
| 4 |
[
76,
52,
5,
40
] | 69 | [
"76-52=24",
"5+40=45",
"24+45=69"
] | Current State: 69:[76, 52, 5, 40], Operations: []
Exploring Operation: 76-52=24, Resulting Numbers: [5, 40, 24]
Generated Node #2: [5, 40, 24] from Operation: 76-52=24
Current State: 69:[5, 40, 24], Operations: ['76-52=24']
Exploring Operation: 5+40=45, Resulting Numbers: [24, 45]
Generated Node #3: [24, 45] from Operation: 5+40=45
Current State: 69:[24, 45], Operations: ['76-52=24', '5+40=45']
Exploring Operation: 24+45=69, Resulting Numbers: [69]
69,69 equal: Goal Reached
| 4 |
[
34,
30,
73,
21
] | 98 | [
"34-30=4",
"73+21=94",
"4+94=98"
] | Current State: 98:[34, 30, 73, 21], Operations: []
Exploring Operation: 34-30=4, Resulting Numbers: [73, 21, 4]
Generated Node #2: [73, 21, 4] from Operation: 34-30=4
Current State: 98:[73, 21, 4], Operations: ['34-30=4']
Exploring Operation: 73+21=94, Resulting Numbers: [4, 94]
Generated Node #3: [4, 94] from Operation: 73+21=94
Current State: 98:[4, 94], Operations: ['34-30=4', '73+21=94']
Exploring Operation: 4+94=98, Resulting Numbers: [98]
98,98 equal: Goal Reached
| 4 |
[
81,
32,
83,
74
] | 84 | [
"83-81=2",
"74-32=42",
"2*42=84"
] | Current State: 84:[81, 32, 83, 74], Operations: []
Exploring Operation: 83-81=2, Resulting Numbers: [32, 74, 2]
Generated Node #2: [32, 74, 2] from Operation: 83-81=2
Current State: 84:[32, 74, 2], Operations: ['83-81=2']
Exploring Operation: 74-32=42, Resulting Numbers: [2, 42]
Generated Node #3: [2, 42] from Operation: 74-32=42
Current State: 84:[2, 42], Operations: ['83-81=2', '74-32=42']
Exploring Operation: 2*42=84, Resulting Numbers: [84]
84,84 equal: Goal Reached
| 4 |
[
48,
6,
28,
32
] | 33 | [
"28-6=22",
"48*22=1056",
"1056/32=33"
] | Current State: 33:[48, 6, 28, 32], Operations: []
Exploring Operation: 28-6=22, Resulting Numbers: [48, 32, 22]
Generated Node #2: [48, 32, 22] from Operation: 28-6=22
Current State: 33:[48, 32, 22], Operations: ['28-6=22']
Exploring Operation: 48*22=1056, Resulting Numbers: [32, 1056]
Generated Node #3: [32, 1056] from Operation: 48*22=1056
Current State: 33:[32, 1056], Operations: ['28-6=22', '48*22=1056']
Exploring Operation: 1056/32=33, Resulting Numbers: [33]
33,33 equal: Goal Reached
| 4 |
[
5,
99,
33,
73
] | 71 | [
"73-5=68",
"99/33=3",
"68+3=71"
] | Current State: 71:[5, 99, 33, 73], Operations: []
Exploring Operation: 73-5=68, Resulting Numbers: [99, 33, 68]
Generated Node #2: [99, 33, 68] from Operation: 73-5=68
Current State: 71:[99, 33, 68], Operations: ['73-5=68']
Exploring Operation: 99/33=3, Resulting Numbers: [68, 3]
Generated Node #3: [68, 3] from Operation: 99/33=3
Current State: 71:[68, 3], Operations: ['73-5=68', '99/33=3']
Exploring Operation: 68+3=71, Resulting Numbers: [71]
71,71 equal: Goal Reached
| 4 |
[
32,
60,
24,
72
] | 27 | [
"32*60=1920",
"24+1920=1944",
"1944/72=27"
] | Current State: 27:[32, 60, 24, 72], Operations: []
Exploring Operation: 32*60=1920, Resulting Numbers: [24, 72, 1920]
Generated Node #2: [24, 72, 1920] from Operation: 32*60=1920
Current State: 27:[24, 72, 1920], Operations: ['32*60=1920']
Exploring Operation: 24+1920=1944, Resulting Numbers: [72, 1944]
Generated Node #3: [72, 1944] from Operation: 24+1920=1944
Current State: 27:[72, 1944], Operations: ['32*60=1920', '24+1920=1944']
Exploring Operation: 1944/72=27, Resulting Numbers: [27]
27,27 equal: Goal Reached
| 4 |
[
32,
1,
30,
17
] | 45 | [
"32*1=32",
"30-17=13",
"32+13=45"
] | Current State: 45:[32, 1, 30, 17], Operations: []
Exploring Operation: 32*1=32, Resulting Numbers: [30, 17, 32]
Generated Node #2: [30, 17, 32] from Operation: 32*1=32
Current State: 45:[30, 17, 32], Operations: ['32*1=32']
Exploring Operation: 30-17=13, Resulting Numbers: [32, 13]
Generated Node #3: [32, 13] from Operation: 30-17=13
Current State: 45:[32, 13], Operations: ['32*1=32', '30-17=13']
Exploring Operation: 32+13=45, Resulting Numbers: [45]
45,45 equal: Goal Reached
| 4 |
[
32,
34,
34,
87
] | 70 | [
"34-32=2",
"34/2=17",
"87-17=70"
] | Current State: 70:[32, 34, 34, 87], Operations: []
Exploring Operation: 34-32=2, Resulting Numbers: [87, 2]
Generated Node #2: [87, 2] from Operation: 34-32=2
Current State: 70:[87, 2], Operations: ['34-32=2']
Exploring Operation: 34/2=17, Resulting Numbers: [87, 17]
Generated Node #3: [87, 17] from Operation: 34/2=17
Current State: 70:[87, 17], Operations: ['34-32=2', '34/2=17']
Exploring Operation: 87-17=70, Resulting Numbers: [70]
70,70 equal: Goal Reached
| 4 |
[
40,
39,
40,
41
] | 60 | [
"41-39=2",
"40/2=20",
"40+20=60"
] | Current State: 60:[40, 39, 40, 41], Operations: []
Exploring Operation: 41-39=2, Resulting Numbers: [40, 40, 2]
Generated Node #2: [40, 40, 2] from Operation: 41-39=2
Current State: 60:[40, 40, 2], Operations: ['41-39=2']
Exploring Operation: 40/2=20, Resulting Numbers: [20]
20,60 equal: Goal Reached
Exploring Operation: 40+20=60, Resulting Numbers: [60]
60,60 equal: Goal Reached
| 4 |
[
3,
98,
12,
41
] | 42 | [
"98-3=95",
"12+41=53",
"95-53=42"
] | Current State: 42:[3, 98, 12, 41], Operations: []
Exploring Operation: 98-3=95, Resulting Numbers: [12, 41, 95]
Generated Node #2: [12, 41, 95] from Operation: 98-3=95
Current State: 42:[12, 41, 95], Operations: ['98-3=95']
Exploring Operation: 12+41=53, Resulting Numbers: [95, 53]
Generated Node #3: [95, 53] from Operation: 12+41=53
Current State: 42:[95, 53], Operations: ['98-3=95', '12+41=53']
Exploring Operation: 95-53=42, Resulting Numbers: [42]
42,42 equal: Goal Reached
| 4 |
[
3,
78,
61,
90
] | 76 | [
"78-3=75",
"61+90=151",
"151-75=76"
] | Current State: 76:[3, 78, 61, 90], Operations: []
Exploring Operation: 78-3=75, Resulting Numbers: [61, 90, 75]
Generated Node #2: [61, 90, 75] from Operation: 78-3=75
Current State: 76:[61, 90, 75], Operations: ['78-3=75']
Exploring Operation: 61+90=151, Resulting Numbers: [75, 151]
Generated Node #3: [75, 151] from Operation: 61+90=151
Current State: 76:[75, 151], Operations: ['78-3=75', '61+90=151']
Exploring Operation: 151-75=76, Resulting Numbers: [76]
76,76 equal: Goal Reached
| 4 |
[
40,
81,
33,
53
] | 83 | [
"53-33=20",
"40/20=2",
"81+2=83"
] | Current State: 83:[40, 81, 33, 53], Operations: []
Exploring Operation: 53-33=20, Resulting Numbers: [40, 81, 20]
Generated Node #2: [40, 81, 20] from Operation: 53-33=20
Current State: 83:[40, 81, 20], Operations: ['53-33=20']
Exploring Operation: 40/20=2, Resulting Numbers: [81, 2]
Generated Node #3: [81, 2] from Operation: 40/20=2
Current State: 83:[81, 2], Operations: ['53-33=20', '40/20=2']
Exploring Operation: 81+2=83, Resulting Numbers: [83]
83,83 equal: Goal Reached
| 4 |
[
30,
35,
37,
28
] | 13 | [
"35-30=5",
"37+28=65",
"65/5=13"
] | Current State: 13:[30, 35, 37, 28], Operations: []
Exploring Operation: 35-30=5, Resulting Numbers: [37, 28, 5]
Generated Node #2: [37, 28, 5] from Operation: 35-30=5
Current State: 13:[37, 28, 5], Operations: ['35-30=5']
Exploring Operation: 37+28=65, Resulting Numbers: [5, 65]
Generated Node #3: [5, 65] from Operation: 37+28=65
Current State: 13:[5, 65], Operations: ['35-30=5', '37+28=65']
Exploring Operation: 65/5=13, Resulting Numbers: [13]
13,13 equal: Goal Reached
| 4 |
[
85,
87,
80,
23
] | 28 | [
"85-80=5",
"23*5=115",
"115-87=28"
] | Current State: 28:[85, 87, 80, 23], Operations: []
Exploring Operation: 85-80=5, Resulting Numbers: [87, 23, 5]
Generated Node #2: [87, 23, 5] from Operation: 85-80=5
Current State: 28:[87, 23, 5], Operations: ['85-80=5']
Exploring Operation: 23*5=115, Resulting Numbers: [87, 115]
Generated Node #3: [87, 115] from Operation: 23*5=115
Current State: 28:[87, 115], Operations: ['85-80=5', '23*5=115']
Exploring Operation: 115-87=28, Resulting Numbers: [28]
28,28 equal: Goal Reached
| 4 |
[
32,
24,
20,
4
] | 31 | [
"24-20=4",
"4/4=1",
"32-1=31"
] | Current State: 31:[32, 24, 20, 4], Operations: []
Exploring Operation: 24-20=4, Resulting Numbers: [32, 4, 4]
Generated Node #2: [32, 4, 4] from Operation: 24-20=4
Current State: 31:[32, 4, 4], Operations: ['24-20=4']
Exploring Operation: 4/4=1, Resulting Numbers: [32, 1]
Generated Node #3: [32, 1] from Operation: 4/4=1
Current State: 31:[32, 1], Operations: ['24-20=4', '4/4=1']
Exploring Operation: 32-1=31, Resulting Numbers: [31]
31,31 equal: Goal Reached
| 4 |
[
57,
20,
9,
41
] | 27 | [
"57+20=77",
"9+41=50",
"77-50=27"
] | Current State: 27:[57, 20, 9, 41], Operations: []
Exploring Operation: 57+20=77, Resulting Numbers: [9, 41, 77]
Generated Node #2: [9, 41, 77] from Operation: 57+20=77
Current State: 27:[9, 41, 77], Operations: ['57+20=77']
Exploring Operation: 9+41=50, Resulting Numbers: [77, 50]
Generated Node #3: [77, 50] from Operation: 9+41=50
Current State: 27:[77, 50], Operations: ['57+20=77', '9+41=50']
Exploring Operation: 77-50=27, Resulting Numbers: [27]
27,27 equal: Goal Reached
| 4 |
[
39,
11,
50,
83
] | 66 | [
"39+50=89",
"89-83=6",
"11*6=66"
] | Current State: 66:[39, 11, 50, 83], Operations: []
Exploring Operation: 39+50=89, Resulting Numbers: [11, 83, 89]
Generated Node #2: [11, 83, 89] from Operation: 39+50=89
Current State: 66:[11, 83, 89], Operations: ['39+50=89']
Exploring Operation: 89-83=6, Resulting Numbers: [11, 6]
Generated Node #3: [11, 6] from Operation: 89-83=6
Current State: 66:[11, 6], Operations: ['39+50=89', '89-83=6']
Exploring Operation: 11*6=66, Resulting Numbers: [66]
66,66 equal: Goal Reached
| 4 |
[
52,
83,
13,
66
] | 99 | [
"66-52=14",
"13*14=182",
"182-83=99"
] | Current State: 99:[52, 83, 13, 66], Operations: []
Exploring Operation: 66-52=14, Resulting Numbers: [83, 13, 14]
Generated Node #2: [83, 13, 14] from Operation: 66-52=14
Current State: 99:[83, 13, 14], Operations: ['66-52=14']
Exploring Operation: 13*14=182, Resulting Numbers: [83, 182]
Generated Node #3: [83, 182] from Operation: 13*14=182
Current State: 99:[83, 182], Operations: ['66-52=14', '13*14=182']
Exploring Operation: 182-83=99, Resulting Numbers: [99]
99,99 equal: Goal Reached
| 4 |
[
59,
49,
57,
40
] | 29 | [
"59-57=2",
"40/2=20",
"49-20=29"
] | Current State: 29:[59, 49, 57, 40], Operations: []
Exploring Operation: 59-57=2, Resulting Numbers: [49, 40, 2]
Generated Node #2: [49, 40, 2] from Operation: 59-57=2
Current State: 29:[49, 40, 2], Operations: ['59-57=2']
Exploring Operation: 40/2=20, Resulting Numbers: [49, 20]
Generated Node #3: [49, 20] from Operation: 40/2=20
Current State: 29:[49, 20], Operations: ['59-57=2', '40/2=20']
Exploring Operation: 49-20=29, Resulting Numbers: [29]
29,29 equal: Goal Reached
| 4 |
[
71,
41,
26,
15
] | 41 | [
"71-41=30",
"26-15=11",
"30+11=41"
] | Current State: 41:[71, 41, 26, 15], Operations: []
Exploring Operation: 71-41=30, Resulting Numbers: [26, 15, 30]
Generated Node #2: [26, 15, 30] from Operation: 71-41=30
Current State: 41:[26, 15, 30], Operations: ['71-41=30']
Exploring Operation: 26-15=11, Resulting Numbers: [30, 11]
Generated Node #3: [30, 11] from Operation: 26-15=11
Current State: 41:[30, 11], Operations: ['71-41=30', '26-15=11']
Exploring Operation: 30+11=41, Resulting Numbers: [41]
41,41 equal: Goal Reached
| 4 |
[
20,
23,
10,
97
] | 76 | [
"20/10=2",
"97-23=74",
"2+74=76"
] | Current State: 76:[20, 23, 10, 97], Operations: []
Exploring Operation: 20/10=2, Resulting Numbers: [23, 97, 2]
Generated Node #2: [23, 97, 2] from Operation: 20/10=2
Current State: 76:[23, 97, 2], Operations: ['20/10=2']
Exploring Operation: 97-23=74, Resulting Numbers: [2, 74]
Generated Node #3: [2, 74] from Operation: 97-23=74
Current State: 76:[2, 74], Operations: ['20/10=2', '97-23=74']
Exploring Operation: 2+74=76, Resulting Numbers: [76]
76,76 equal: Goal Reached
| 4 |
[
25,
45,
41,
9
] | 70 | [
"45-25=20",
"41+9=50",
"20+50=70"
] | Current State: 70:[25, 45, 41, 9], Operations: []
Exploring Operation: 45-25=20, Resulting Numbers: [41, 9, 20]
Generated Node #2: [41, 9, 20] from Operation: 45-25=20
Current State: 70:[41, 9, 20], Operations: ['45-25=20']
Exploring Operation: 41+9=50, Resulting Numbers: [20, 50]
Generated Node #3: [20, 50] from Operation: 41+9=50
Current State: 70:[20, 50], Operations: ['45-25=20', '41+9=50']
Exploring Operation: 20+50=70, Resulting Numbers: [70]
70,70 equal: Goal Reached
| 4 |
[
4,
32,
12,
14
] | 80 | [
"12-4=8",
"14*8=112",
"112-32=80"
] | Current State: 80:[4, 32, 12, 14], Operations: []
Exploring Operation: 12-4=8, Resulting Numbers: [32, 14, 8]
Generated Node #2: [32, 14, 8] from Operation: 12-4=8
Current State: 80:[32, 14, 8], Operations: ['12-4=8']
Exploring Operation: 14*8=112, Resulting Numbers: [32, 112]
Generated Node #3: [32, 112] from Operation: 14*8=112
Current State: 80:[32, 112], Operations: ['12-4=8', '14*8=112']
Exploring Operation: 112-32=80, Resulting Numbers: [80]
80,80 equal: Goal Reached
| 4 |
[
57,
84,
64,
6
] | 18 | [
"64-57=7",
"84/7=12",
"6+12=18"
] | Current State: 18:[57, 84, 64, 6], Operations: []
Exploring Operation: 64-57=7, Resulting Numbers: [84, 6, 7]
Generated Node #2: [84, 6, 7] from Operation: 64-57=7
Current State: 18:[84, 6, 7], Operations: ['64-57=7']
Exploring Operation: 84/7=12, Resulting Numbers: [6, 12]
Generated Node #3: [6, 12] from Operation: 84/7=12
Current State: 18:[6, 12], Operations: ['64-57=7', '84/7=12']
Exploring Operation: 6+12=18, Resulting Numbers: [18]
18,18 equal: Goal Reached
| 4 |
[
57,
6,
47,
8
] | 58 | [
"57-47=10",
"6*8=48",
"10+48=58"
] | Current State: 58:[57, 6, 47, 8], Operations: []
Exploring Operation: 57-47=10, Resulting Numbers: [6, 8, 10]
Generated Node #2: [6, 8, 10] from Operation: 57-47=10
Current State: 58:[6, 8, 10], Operations: ['57-47=10']
Exploring Operation: 6*8=48, Resulting Numbers: [10, 48]
Generated Node #3: [10, 48] from Operation: 6*8=48
Current State: 58:[10, 48], Operations: ['57-47=10', '6*8=48']
Exploring Operation: 10+48=58, Resulting Numbers: [58]
58,58 equal: Goal Reached
| 4 |
[
51,
12,
33,
19
] | 25 | [
"51-12=39",
"33-19=14",
"39-14=25"
] | Current State: 25:[51, 12, 33, 19], Operations: []
Exploring Operation: 51-12=39, Resulting Numbers: [33, 19, 39]
Generated Node #2: [33, 19, 39] from Operation: 51-12=39
Current State: 25:[33, 19, 39], Operations: ['51-12=39']
Exploring Operation: 33-19=14, Resulting Numbers: [39, 14]
Generated Node #3: [39, 14] from Operation: 33-19=14
Current State: 25:[39, 14], Operations: ['51-12=39', '33-19=14']
Exploring Operation: 39-14=25, Resulting Numbers: [25]
25,25 equal: Goal Reached
| 4 |
[
52,
4,
5,
84
] | 53 | [
"84/4=21",
"5*21=105",
"105-52=53"
] | Current State: 53:[52, 4, 5, 84], Operations: []
Exploring Operation: 84/4=21, Resulting Numbers: [52, 5, 21]
Generated Node #2: [52, 5, 21] from Operation: 84/4=21
Current State: 53:[52, 5, 21], Operations: ['84/4=21']
Exploring Operation: 5*21=105, Resulting Numbers: [52, 105]
Generated Node #3: [52, 105] from Operation: 5*21=105
Current State: 53:[52, 105], Operations: ['84/4=21', '5*21=105']
Exploring Operation: 105-52=53, Resulting Numbers: [53]
53,53 equal: Goal Reached
| 4 |
[
97,
71,
65,
19
] | 17 | [
"71-65=6",
"19*6=114",
"114-97=17"
] | Current State: 17:[97, 71, 65, 19], Operations: []
Exploring Operation: 71-65=6, Resulting Numbers: [97, 19, 6]
Generated Node #2: [97, 19, 6] from Operation: 71-65=6
Current State: 17:[97, 19, 6], Operations: ['71-65=6']
Exploring Operation: 19*6=114, Resulting Numbers: [97, 114]
Generated Node #3: [97, 114] from Operation: 19*6=114
Current State: 17:[97, 114], Operations: ['71-65=6', '19*6=114']
Exploring Operation: 114-97=17, Resulting Numbers: [17]
17,17 equal: Goal Reached
| 4 |
[
36,
95,
14,
94
] | 22 | [
"36-14=22",
"95-94=1",
"22*1=22"
] | Current State: 22:[36, 95, 14, 94], Operations: []
Exploring Operation: 36-14=22, Resulting Numbers: [95, 94, 22]
Generated Node #2: [95, 94, 22] from Operation: 36-14=22
Current State: 22:[95, 94, 22], Operations: ['36-14=22']
Exploring Operation: 95-94=1, Resulting Numbers: [22, 1]
Generated Node #3: [22, 1] from Operation: 95-94=1
Current State: 22:[22, 1], Operations: ['36-14=22', '95-94=1']
Exploring Operation: 22*1=22, Resulting Numbers: [22]
22,22 equal: Goal Reached
| 4 |
[
70,
3,
22,
77
] | 18 | [
"70+3=73",
"77-22=55",
"73-55=18"
] | Current State: 18:[70, 3, 22, 77], Operations: []
Exploring Operation: 70+3=73, Resulting Numbers: [22, 77, 73]
Generated Node #2: [22, 77, 73] from Operation: 70+3=73
Current State: 18:[22, 77, 73], Operations: ['70+3=73']
Exploring Operation: 77-22=55, Resulting Numbers: [73, 55]
Generated Node #3: [73, 55] from Operation: 77-22=55
Current State: 18:[73, 55], Operations: ['70+3=73', '77-22=55']
Exploring Operation: 73-55=18, Resulting Numbers: [18]
18,18 equal: Goal Reached
| 4 |
[
85,
13,
2,
3
] | 32 | [
"85+13=98",
"98-2=96",
"96/3=32"
] | Current State: 32:[85, 13, 2, 3], Operations: []
Exploring Operation: 85+13=98, Resulting Numbers: [2, 3, 98]
Generated Node #2: [2, 3, 98] from Operation: 85+13=98
Current State: 32:[2, 3, 98], Operations: ['85+13=98']
Exploring Operation: 98-2=96, Resulting Numbers: [3, 96]
Generated Node #3: [3, 96] from Operation: 98-2=96
Current State: 32:[3, 96], Operations: ['85+13=98', '98-2=96']
Exploring Operation: 96/3=32, Resulting Numbers: [32]
32,32 equal: Goal Reached
| 4 |
[
6,
52,
3,
56
] | 22 | [
"6*3=18",
"56-52=4",
"18+4=22"
] | Current State: 22:[6, 52, 3, 56], Operations: []
Exploring Operation: 6*3=18, Resulting Numbers: [52, 56, 18]
Generated Node #2: [52, 56, 18] from Operation: 6*3=18
Current State: 22:[52, 56, 18], Operations: ['6*3=18']
Exploring Operation: 56-52=4, Resulting Numbers: [18, 4]
Generated Node #3: [18, 4] from Operation: 56-52=4
Current State: 22:[18, 4], Operations: ['6*3=18', '56-52=4']
Exploring Operation: 18+4=22, Resulting Numbers: [22]
22,22 equal: Goal Reached
| 4 |
[
55,
47,
63,
17
] | 89 | [
"63-55=8",
"17*8=136",
"136-47=89"
] | Current State: 89:[55, 47, 63, 17], Operations: []
Exploring Operation: 63-55=8, Resulting Numbers: [47, 17, 8]
Generated Node #2: [47, 17, 8] from Operation: 63-55=8
Current State: 89:[47, 17, 8], Operations: ['63-55=8']
Exploring Operation: 17*8=136, Resulting Numbers: [47, 136]
Generated Node #3: [47, 136] from Operation: 17*8=136
Current State: 89:[47, 136], Operations: ['63-55=8', '17*8=136']
Exploring Operation: 136-47=89, Resulting Numbers: [89]
89,89 equal: Goal Reached
| 4 |
[
12,
41,
75,
71
] | 93 | [
"12+41=53",
"75+71=146",
"146-53=93"
] | Current State: 93:[12, 41, 75, 71], Operations: []
Exploring Operation: 12+41=53, Resulting Numbers: [75, 71, 53]
Generated Node #2: [75, 71, 53] from Operation: 12+41=53
Current State: 93:[75, 71, 53], Operations: ['12+41=53']
Exploring Operation: 75+71=146, Resulting Numbers: [53, 146]
Generated Node #3: [53, 146] from Operation: 75+71=146
Current State: 93:[53, 146], Operations: ['12+41=53', '75+71=146']
Exploring Operation: 146-53=93, Resulting Numbers: [93]
93,93 equal: Goal Reached
| 4 |
[
4,
2,
41,
25
] | 51 | [
"25-2=23",
"4*23=92",
"92-41=51"
] | Current State: 51:[4, 2, 41, 25], Operations: []
Exploring Operation: 25-2=23, Resulting Numbers: [4, 41, 23]
Generated Node #2: [4, 41, 23] from Operation: 25-2=23
Current State: 51:[4, 41, 23], Operations: ['25-2=23']
Exploring Operation: 4*23=92, Resulting Numbers: [41, 92]
Generated Node #3: [41, 92] from Operation: 4*23=92
Current State: 51:[41, 92], Operations: ['25-2=23', '4*23=92']
Exploring Operation: 92-41=51, Resulting Numbers: [51]
51,51 equal: Goal Reached
| 4 |
[
97,
34,
61,
60
] | 10 | [
"97+34=131",
"61+60=121",
"131-121=10"
] | Current State: 10:[97, 34, 61, 60], Operations: []
Exploring Operation: 97+34=131, Resulting Numbers: [61, 60, 131]
Generated Node #2: [61, 60, 131] from Operation: 97+34=131
Current State: 10:[61, 60, 131], Operations: ['97+34=131']
Exploring Operation: 61+60=121, Resulting Numbers: [131, 121]
Generated Node #3: [131, 121] from Operation: 61+60=121
Current State: 10:[131, 121], Operations: ['97+34=131', '61+60=121']
Exploring Operation: 131-121=10, Resulting Numbers: [10]
10,10 equal: Goal Reached
| 4 |
[
46,
44,
10,
5
] | 48 | [
"46-44=2",
"10*5=50",
"50-2=48"
] | Current State: 48:[46, 44, 10, 5], Operations: []
Exploring Operation: 46-44=2, Resulting Numbers: [10, 5, 2]
Generated Node #2: [10, 5, 2] from Operation: 46-44=2
Current State: 48:[10, 5, 2], Operations: ['46-44=2']
Exploring Operation: 10*5=50, Resulting Numbers: [2, 50]
Generated Node #3: [2, 50] from Operation: 10*5=50
Current State: 48:[2, 50], Operations: ['46-44=2', '10*5=50']
Exploring Operation: 50-2=48, Resulting Numbers: [48]
48,48 equal: Goal Reached
| 4 |
[
24,
80,
81,
24
] | 81 | [
"24-24=0",
"80*0=0",
"81+0=81"
] | Current State: 81:[24, 80, 81, 24], Operations: []
Exploring Operation: 24-24=0, Resulting Numbers: [80, 81, 0]
Generated Node #2: [80, 81, 0] from Operation: 24-24=0
Current State: 81:[80, 81, 0], Operations: ['24-24=0']
Exploring Operation: 80*0=0, Resulting Numbers: [81, 0]
Generated Node #3: [81, 0] from Operation: 80*0=0
Current State: 81:[81, 0], Operations: ['24-24=0', '80*0=0']
Exploring Operation: 81+0=81, Resulting Numbers: [81]
81,81 equal: Goal Reached
| 4 |
[
89,
34,
54,
21
] | 88 | [
"89-34=55",
"54-21=33",
"55+33=88"
] | Current State: 88:[89, 34, 54, 21], Operations: []
Exploring Operation: 89-34=55, Resulting Numbers: [54, 21, 55]
Generated Node #2: [54, 21, 55] from Operation: 89-34=55
Current State: 88:[54, 21, 55], Operations: ['89-34=55']
Exploring Operation: 54-21=33, Resulting Numbers: [55, 33]
Generated Node #3: [55, 33] from Operation: 54-21=33
Current State: 88:[55, 33], Operations: ['89-34=55', '54-21=33']
Exploring Operation: 55+33=88, Resulting Numbers: [88]
88,88 equal: Goal Reached
| 4 |
[
91,
7,
55,
41
] | 11 | [
"91-55=36",
"41+36=77",
"77/7=11"
] | Current State: 11:[91, 7, 55, 41], Operations: []
Exploring Operation: 91-55=36, Resulting Numbers: [7, 41, 36]
Generated Node #2: [7, 41, 36] from Operation: 91-55=36
Current State: 11:[7, 41, 36], Operations: ['91-55=36']
Exploring Operation: 41+36=77, Resulting Numbers: [7, 77]
Generated Node #3: [7, 77] from Operation: 41+36=77
Current State: 11:[7, 77], Operations: ['91-55=36', '41+36=77']
Exploring Operation: 77/7=11, Resulting Numbers: [11]
11,11 equal: Goal Reached
| 4 |
[
95,
78,
18,
44
] | 98 | [
"44-18=26",
"78/26=3",
"95+3=98"
] | Current State: 98:[95, 78, 18, 44], Operations: []
Exploring Operation: 44-18=26, Resulting Numbers: [95, 78, 26]
Generated Node #2: [95, 78, 26] from Operation: 44-18=26
Current State: 98:[95, 78, 26], Operations: ['44-18=26']
Exploring Operation: 78/26=3, Resulting Numbers: [95, 3]
Generated Node #3: [95, 3] from Operation: 78/26=3
Current State: 98:[95, 3], Operations: ['44-18=26', '78/26=3']
Exploring Operation: 95+3=98, Resulting Numbers: [98]
98,98 equal: Goal Reached
| 4 |
[
19,
28,
81,
76
] | 57 | [
"76/19=4",
"81-28=53",
"4+53=57"
] | Current State: 57:[19, 28, 81, 76], Operations: []
Exploring Operation: 76/19=4, Resulting Numbers: [28, 81, 4]
Generated Node #2: [28, 81, 4] from Operation: 76/19=4
Current State: 57:[28, 81, 4], Operations: ['76/19=4']
Exploring Operation: 81-28=53, Resulting Numbers: [4, 53]
Generated Node #3: [4, 53] from Operation: 81-28=53
Current State: 57:[4, 53], Operations: ['76/19=4', '81-28=53']
Exploring Operation: 4+53=57, Resulting Numbers: [57]
57,57 equal: Goal Reached
| 4 |
[
3,
55,
49,
58
] | 54 | [
"55+49=104",
"58+104=162",
"162/3=54"
] | Current State: 54:[3, 55, 49, 58], Operations: []
Exploring Operation: 55+49=104, Resulting Numbers: [3, 58, 104]
Generated Node #2: [3, 58, 104] from Operation: 55+49=104
Current State: 54:[3, 58, 104], Operations: ['55+49=104']
Exploring Operation: 58+104=162, Resulting Numbers: [3, 162]
Generated Node #3: [3, 162] from Operation: 58+104=162
Current State: 54:[3, 162], Operations: ['55+49=104', '58+104=162']
Exploring Operation: 162/3=54, Resulting Numbers: [54]
54,54 equal: Goal Reached
| 4 |
[
82,
84,
81,
61
] | 77 | [
"82-61=21",
"84/21=4",
"81-4=77"
] | Current State: 77:[82, 84, 81, 61], Operations: []
Exploring Operation: 82-61=21, Resulting Numbers: [84, 81, 21]
Generated Node #2: [84, 81, 21] from Operation: 82-61=21
Current State: 77:[84, 81, 21], Operations: ['82-61=21']
Exploring Operation: 84/21=4, Resulting Numbers: [81, 4]
Generated Node #3: [81, 4] from Operation: 84/21=4
Current State: 77:[81, 4], Operations: ['82-61=21', '84/21=4']
Exploring Operation: 81-4=77, Resulting Numbers: [77]
77,77 equal: Goal Reached
| 4 |
[
48,
33,
4,
47
] | 66 | [
"48-33=15",
"4+47=51",
"15+51=66"
] | Current State: 66:[48, 33, 4, 47], Operations: []
Exploring Operation: 48-33=15, Resulting Numbers: [4, 47, 15]
Generated Node #2: [4, 47, 15] from Operation: 48-33=15
Current State: 66:[4, 47, 15], Operations: ['48-33=15']
Exploring Operation: 4+47=51, Resulting Numbers: [15, 51]
Generated Node #3: [15, 51] from Operation: 4+47=51
Current State: 66:[15, 51], Operations: ['48-33=15', '4+47=51']
Exploring Operation: 15+51=66, Resulting Numbers: [66]
66,66 equal: Goal Reached
| 4 |
[
20,
60,
7,
35
] | 75 | [
"20+60=80",
"35/7=5",
"80-5=75"
] | Current State: 75:[20, 60, 7, 35], Operations: []
Exploring Operation: 20+60=80, Resulting Numbers: [7, 35, 80]
Generated Node #2: [7, 35, 80] from Operation: 20+60=80
Current State: 75:[7, 35, 80], Operations: ['20+60=80']
Exploring Operation: 35/7=5, Resulting Numbers: [80, 5]
Generated Node #3: [80, 5] from Operation: 35/7=5
Current State: 75:[80, 5], Operations: ['20+60=80', '35/7=5']
Exploring Operation: 80-5=75, Resulting Numbers: [75]
75,75 equal: Goal Reached
| 4 |
[
22,
88,
62,
2
] | 92 | [
"22+62=84",
"88*2=176",
"176-84=92"
] | Current State: 92:[22, 88, 62, 2], Operations: []
Exploring Operation: 22+62=84, Resulting Numbers: [88, 2, 84]
Generated Node #2: [88, 2, 84] from Operation: 22+62=84
Current State: 92:[88, 2, 84], Operations: ['22+62=84']
Exploring Operation: 88*2=176, Resulting Numbers: [84, 176]
Generated Node #3: [84, 176] from Operation: 88*2=176
Current State: 92:[84, 176], Operations: ['22+62=84', '88*2=176']
Exploring Operation: 176-84=92, Resulting Numbers: [92]
92,92 equal: Goal Reached
| 4 |
[
4,
33,
1,
1
] | 36 | [
"4+33=37",
"1*1=1",
"37-1=36"
] | Current State: 36:[4, 33, 1, 1], Operations: []
Exploring Operation: 4+33=37, Resulting Numbers: [1, 1, 37]
Generated Node #2: [1, 1, 37] from Operation: 4+33=37
Current State: 36:[1, 1, 37], Operations: ['4+33=37']
Exploring Operation: 1*1=1, Resulting Numbers: [37, 1]
Generated Node #3: [37, 1] from Operation: 1*1=1
Current State: 36:[37, 1], Operations: ['4+33=37', '1*1=1']
Exploring Operation: 37-1=36, Resulting Numbers: [36]
36,36 equal: Goal Reached
| 4 |
[
35,
25,
7,
82
] | 85 | [
"35-25=10",
"82-7=75",
"10+75=85"
] | Current State: 85:[35, 25, 7, 82], Operations: []
Exploring Operation: 35-25=10, Resulting Numbers: [7, 82, 10]
Generated Node #2: [7, 82, 10] from Operation: 35-25=10
Current State: 85:[7, 82, 10], Operations: ['35-25=10']
Exploring Operation: 82-7=75, Resulting Numbers: [10, 75]
Generated Node #3: [10, 75] from Operation: 82-7=75
Current State: 85:[10, 75], Operations: ['35-25=10', '82-7=75']
Exploring Operation: 10+75=85, Resulting Numbers: [85]
85,85 equal: Goal Reached
| 4 |
[
4,
12,
34,
33
] | 86 | [
"4*33=132",
"12+34=46",
"132-46=86"
] | Current State: 86:[4, 12, 34, 33], Operations: []
Exploring Operation: 4*33=132, Resulting Numbers: [12, 34, 132]
Generated Node #2: [12, 34, 132] from Operation: 4*33=132
Current State: 86:[12, 34, 132], Operations: ['4*33=132']
Exploring Operation: 12+34=46, Resulting Numbers: [132, 46]
Generated Node #3: [132, 46] from Operation: 12+34=46
Current State: 86:[132, 46], Operations: ['4*33=132', '12+34=46']
Exploring Operation: 132-46=86, Resulting Numbers: [86]
86,86 equal: Goal Reached
| 4 |
[
67,
14,
95,
24
] | 12 | [
"95-67=28",
"14*24=336",
"336/28=12"
] | Current State: 12:[67, 14, 95, 24], Operations: []
Exploring Operation: 95-67=28, Resulting Numbers: [14, 24, 28]
Generated Node #2: [14, 24, 28] from Operation: 95-67=28
Current State: 12:[14, 24, 28], Operations: ['95-67=28']
Exploring Operation: 14*24=336, Resulting Numbers: [28, 336]
Generated Node #3: [28, 336] from Operation: 14*24=336
Current State: 12:[28, 336], Operations: ['95-67=28', '14*24=336']
Exploring Operation: 336/28=12, Resulting Numbers: [12]
12,12 equal: Goal Reached
| 4 |
[
9,
55,
16,
12
] | 43 | [
"9*16=144",
"144/12=12",
"55-12=43"
] | Current State: 43:[9, 55, 16, 12], Operations: []
Exploring Operation: 9*16=144, Resulting Numbers: [55, 12, 144]
Generated Node #2: [55, 12, 144] from Operation: 9*16=144
Current State: 43:[55, 12, 144], Operations: ['9*16=144']
Exploring Operation: 144/12=12, Resulting Numbers: [55, 12]
Generated Node #3: [55, 12] from Operation: 144/12=12
Current State: 43:[55, 12], Operations: ['9*16=144', '144/12=12']
Exploring Operation: 55-12=43, Resulting Numbers: [43]
43,43 equal: Goal Reached
| 4 |
[
9,
36,
66,
63
] | 12 | [
"36/9=4",
"66-63=3",
"4*3=12"
] | Current State: 12:[9, 36, 66, 63], Operations: []
Exploring Operation: 36/9=4, Resulting Numbers: [66, 63, 4]
Generated Node #2: [66, 63, 4] from Operation: 36/9=4
Current State: 12:[66, 63, 4], Operations: ['36/9=4']
Exploring Operation: 66-63=3, Resulting Numbers: [4, 3]
Generated Node #3: [4, 3] from Operation: 66-63=3
Current State: 12:[4, 3], Operations: ['36/9=4', '66-63=3']
Exploring Operation: 4*3=12, Resulting Numbers: [12]
12,12 equal: Goal Reached
| 4 |
[
5,
65,
57,
43
] | 33 | [
"65+57=122",
"43+122=165",
"165/5=33"
] | Current State: 33:[5, 65, 57, 43], Operations: []
Exploring Operation: 65+57=122, Resulting Numbers: [5, 43, 122]
Generated Node #2: [5, 43, 122] from Operation: 65+57=122
Current State: 33:[5, 43, 122], Operations: ['65+57=122']
Exploring Operation: 43+122=165, Resulting Numbers: [5, 165]
Generated Node #3: [5, 165] from Operation: 43+122=165
Current State: 33:[5, 165], Operations: ['65+57=122', '43+122=165']
Exploring Operation: 165/5=33, Resulting Numbers: [33]
33,33 equal: Goal Reached
| 4 |
[
46,
33,
46,
25
] | 58 | [
"46+33=79",
"46-25=21",
"79-21=58"
] | Current State: 58:[46, 33, 46, 25], Operations: []
Exploring Operation: 46+33=79, Resulting Numbers: [25, 79]
Generated Node #2: [25, 79] from Operation: 46+33=79
Current State: 58:[25, 79], Operations: ['46+33=79']
Exploring Operation: 46-25=21, Resulting Numbers: [79, 21]
Generated Node #3: [79, 21] from Operation: 46-25=21
Current State: 58:[79, 21], Operations: ['46+33=79', '46-25=21']
Exploring Operation: 79-21=58, Resulting Numbers: [58]
58,58 equal: Goal Reached
| 4 |
[
31,
54,
18,
56
] | 90 | [
"31+56=87",
"54/18=3",
"87+3=90"
] | Current State: 90:[31, 54, 18, 56], Operations: []
Exploring Operation: 31+56=87, Resulting Numbers: [54, 18, 87]
Generated Node #2: [54, 18, 87] from Operation: 31+56=87
Current State: 90:[54, 18, 87], Operations: ['31+56=87']
Exploring Operation: 54/18=3, Resulting Numbers: [87, 3]
Generated Node #3: [87, 3] from Operation: 54/18=3
Current State: 90:[87, 3], Operations: ['31+56=87', '54/18=3']
Exploring Operation: 87+3=90, Resulting Numbers: [90]
90,90 equal: Goal Reached
| 4 |
[
26,
14,
3,
9
] | 36 | [
"26-14=12",
"9/3=3",
"12*3=36"
] | Current State: 36:[26, 14, 3, 9], Operations: []
Exploring Operation: 26-14=12, Resulting Numbers: [3, 9, 12]
Generated Node #2: [3, 9, 12] from Operation: 26-14=12
Current State: 36:[3, 9, 12], Operations: ['26-14=12']
Exploring Operation: 9/3=3, Resulting Numbers: [12, 3]
Generated Node #3: [12, 3] from Operation: 9/3=3
Current State: 36:[12, 3], Operations: ['26-14=12', '9/3=3']
Exploring Operation: 12*3=36, Resulting Numbers: [36]
36,36 equal: Goal Reached
| 4 |
[
70,
5,
25,
82
] | 96 | [
"70*5=350",
"350/25=14",
"82+14=96"
] | Current State: 96:[70, 5, 25, 82], Operations: []
Exploring Operation: 70*5=350, Resulting Numbers: [25, 82, 350]
Generated Node #2: [25, 82, 350] from Operation: 70*5=350
Current State: 96:[25, 82, 350], Operations: ['70*5=350']
Exploring Operation: 350/25=14, Resulting Numbers: [82, 14]
Generated Node #3: [82, 14] from Operation: 350/25=14
Current State: 96:[82, 14], Operations: ['70*5=350', '350/25=14']
Exploring Operation: 82+14=96, Resulting Numbers: [96]
96,96 equal: Goal Reached
| 4 |
[
83,
30,
77,
31
] | 99 | [
"83-30=53",
"77-31=46",
"53+46=99"
] | Current State: 99:[83, 30, 77, 31], Operations: []
Exploring Operation: 83-30=53, Resulting Numbers: [77, 31, 53]
Generated Node #2: [77, 31, 53] from Operation: 83-30=53
Current State: 99:[77, 31, 53], Operations: ['83-30=53']
Exploring Operation: 77-31=46, Resulting Numbers: [53, 46]
Generated Node #3: [53, 46] from Operation: 77-31=46
Current State: 99:[53, 46], Operations: ['83-30=53', '77-31=46']
Exploring Operation: 53+46=99, Resulting Numbers: [99]
99,99 equal: Goal Reached
| 4 |
[
18,
30,
33,
90
] | 95 | [
"90-33=57",
"30*57=1710",
"1710/18=95"
] | Current State: 95:[18, 30, 33, 90], Operations: []
Exploring Operation: 90-33=57, Resulting Numbers: [18, 30, 57]
Generated Node #2: [18, 30, 57] from Operation: 90-33=57
Current State: 95:[18, 30, 57], Operations: ['90-33=57']
Exploring Operation: 30*57=1710, Resulting Numbers: [18, 1710]
Generated Node #3: [18, 1710] from Operation: 30*57=1710
Current State: 95:[18, 1710], Operations: ['90-33=57', '30*57=1710']
Exploring Operation: 1710/18=95, Resulting Numbers: [95]
95,95 equal: Goal Reached
| 4 |
[
10,
45,
13,
9
] | 77 | [
"10+45=55",
"13+9=22",
"55+22=77"
] | Current State: 77:[10, 45, 13, 9], Operations: []
Exploring Operation: 10+45=55, Resulting Numbers: [13, 9, 55]
Generated Node #2: [13, 9, 55] from Operation: 10+45=55
Current State: 77:[13, 9, 55], Operations: ['10+45=55']
Exploring Operation: 13+9=22, Resulting Numbers: [55, 22]
Generated Node #3: [55, 22] from Operation: 13+9=22
Current State: 77:[55, 22], Operations: ['10+45=55', '13+9=22']
Exploring Operation: 55+22=77, Resulting Numbers: [77]
77,77 equal: Goal Reached
| 4 |
[
21,
77,
72,
79
] | 53 | [
"21+77=98",
"72+79=151",
"151-98=53"
] | Current State: 53:[21, 77, 72, 79], Operations: []
Exploring Operation: 21+77=98, Resulting Numbers: [72, 79, 98]
Generated Node #2: [72, 79, 98] from Operation: 21+77=98
Current State: 53:[72, 79, 98], Operations: ['21+77=98']
Exploring Operation: 72+79=151, Resulting Numbers: [98, 151]
Generated Node #3: [98, 151] from Operation: 72+79=151
Current State: 53:[98, 151], Operations: ['21+77=98', '72+79=151']
Exploring Operation: 151-98=53, Resulting Numbers: [53]
53,53 equal: Goal Reached
| 4 |
[
45,
91,
96,
39
] | 81 | [
"91*39=3549",
"96+3549=3645",
"3645/45=81"
] | Current State: 81:[45, 91, 96, 39], Operations: []
Exploring Operation: 91*39=3549, Resulting Numbers: [45, 96, 3549]
Generated Node #2: [45, 96, 3549] from Operation: 91*39=3549
Current State: 81:[45, 96, 3549], Operations: ['91*39=3549']
Exploring Operation: 96+3549=3645, Resulting Numbers: [45, 3645]
Generated Node #3: [45, 3645] from Operation: 96+3549=3645
Current State: 81:[45, 3645], Operations: ['91*39=3549', '96+3549=3645']
Exploring Operation: 3645/45=81, Resulting Numbers: [81]
81,81 equal: Goal Reached
| 4 |
[
91,
21,
28,
24
] | 57 | [
"91*24=2184",
"2184/28=78",
"78-21=57"
] | Current State: 57:[91, 21, 28, 24], Operations: []
Exploring Operation: 91*24=2184, Resulting Numbers: [21, 28, 2184]
Generated Node #2: [21, 28, 2184] from Operation: 91*24=2184
Current State: 57:[21, 28, 2184], Operations: ['91*24=2184']
Exploring Operation: 2184/28=78, Resulting Numbers: [21, 78]
Generated Node #3: [21, 78] from Operation: 2184/28=78
Current State: 57:[21, 78], Operations: ['91*24=2184', '2184/28=78']
Exploring Operation: 78-21=57, Resulting Numbers: [57]
57,57 equal: Goal Reached
| 4 |
[
49,
12,
1,
42
] | 77 | [
"49-42=7",
"12-1=11",
"7*11=77"
] | Current State: 77:[49, 12, 1, 42], Operations: []
Exploring Operation: 49-42=7, Resulting Numbers: [12, 1, 7]
Generated Node #2: [12, 1, 7] from Operation: 49-42=7
Current State: 77:[12, 1, 7], Operations: ['49-42=7']
Exploring Operation: 12-1=11, Resulting Numbers: [7, 11]
Generated Node #3: [7, 11] from Operation: 12-1=11
Current State: 77:[7, 11], Operations: ['49-42=7', '12-1=11']
Exploring Operation: 7*11=77, Resulting Numbers: [77]
77,77 equal: Goal Reached
| 4 |
[
42,
63,
60,
33
] | 53 | [
"42-33=9",
"63/9=7",
"60-7=53"
] | Current State: 53:[42, 63, 60, 33], Operations: []
Exploring Operation: 42-33=9, Resulting Numbers: [63, 60, 9]
Generated Node #2: [63, 60, 9] from Operation: 42-33=9
Current State: 53:[63, 60, 9], Operations: ['42-33=9']
Exploring Operation: 63/9=7, Resulting Numbers: [60, 7]
Generated Node #3: [60, 7] from Operation: 63/9=7
Current State: 53:[60, 7], Operations: ['42-33=9', '63/9=7']
Exploring Operation: 60-7=53, Resulting Numbers: [53]
53,53 equal: Goal Reached
| 4 |
[
89,
58,
56,
75
] | 62 | [
"89-75=14",
"56/14=4",
"58+4=62"
] | Current State: 62:[89, 58, 56, 75], Operations: []
Exploring Operation: 89-75=14, Resulting Numbers: [58, 56, 14]
Generated Node #2: [58, 56, 14] from Operation: 89-75=14
Current State: 62:[58, 56, 14], Operations: ['89-75=14']
Exploring Operation: 56/14=4, Resulting Numbers: [58, 4]
Generated Node #3: [58, 4] from Operation: 56/14=4
Current State: 62:[58, 4], Operations: ['89-75=14', '56/14=4']
Exploring Operation: 58+4=62, Resulting Numbers: [62]
62,62 equal: Goal Reached
| 4 |
[
52,
26,
15,
59
] | 89 | [
"52/26=2",
"15*2=30",
"59+30=89"
] | Current State: 89:[52, 26, 15, 59], Operations: []
Exploring Operation: 52/26=2, Resulting Numbers: [15, 59, 2]
Generated Node #2: [15, 59, 2] from Operation: 52/26=2
Current State: 89:[15, 59, 2], Operations: ['52/26=2']
Exploring Operation: 15*2=30, Resulting Numbers: [59, 30]
Generated Node #3: [59, 30] from Operation: 15*2=30
Current State: 89:[59, 30], Operations: ['52/26=2', '15*2=30']
Exploring Operation: 59+30=89, Resulting Numbers: [89]
89,89 equal: Goal Reached
| 4 |
[
66,
48,
86,
89
] | 54 | [
"66-48=18",
"89-86=3",
"18*3=54"
] | Current State: 54:[66, 48, 86, 89], Operations: []
Exploring Operation: 66-48=18, Resulting Numbers: [86, 89, 18]
Generated Node #2: [86, 89, 18] from Operation: 66-48=18
Current State: 54:[86, 89, 18], Operations: ['66-48=18']
Exploring Operation: 89-86=3, Resulting Numbers: [18, 3]
Generated Node #3: [18, 3] from Operation: 89-86=3
Current State: 54:[18, 3], Operations: ['66-48=18', '89-86=3']
Exploring Operation: 18*3=54, Resulting Numbers: [54]
54,54 equal: Goal Reached
| 4 |
[
74,
86,
2,
15
] | 34 | [
"74/2=37",
"86-15=71",
"71-37=34"
] | Current State: 34:[74, 86, 2, 15], Operations: []
Exploring Operation: 74/2=37, Resulting Numbers: [86, 15, 37]
Generated Node #2: [86, 15, 37] from Operation: 74/2=37
Current State: 34:[86, 15, 37], Operations: ['74/2=37']
Exploring Operation: 86-15=71, Resulting Numbers: [37, 71]
Generated Node #3: [37, 71] from Operation: 86-15=71
Current State: 34:[37, 71], Operations: ['74/2=37', '86-15=71']
Exploring Operation: 71-37=34, Resulting Numbers: [34]
34,34 equal: Goal Reached
| 4 |
[
85,
35,
91,
98
] | 43 | [
"85-35=50",
"98-91=7",
"50-7=43"
] | Current State: 43:[85, 35, 91, 98], Operations: []
Exploring Operation: 85-35=50, Resulting Numbers: [91, 98, 50]
Generated Node #2: [91, 98, 50] from Operation: 85-35=50
Current State: 43:[91, 98, 50], Operations: ['85-35=50']
Exploring Operation: 98-91=7, Resulting Numbers: [50, 7]
Generated Node #3: [50, 7] from Operation: 98-91=7
Current State: 43:[50, 7], Operations: ['85-35=50', '98-91=7']
Exploring Operation: 50-7=43, Resulting Numbers: [43]
43,43 equal: Goal Reached
| 4 |
[
85,
18,
4,
42
] | 70 | [
"18+42=60",
"60/4=15",
"85-15=70"
] | Current State: 70:[85, 18, 4, 42], Operations: []
Exploring Operation: 18+42=60, Resulting Numbers: [85, 4, 60]
Generated Node #2: [85, 4, 60] from Operation: 18+42=60
Current State: 70:[85, 4, 60], Operations: ['18+42=60']
Exploring Operation: 60/4=15, Resulting Numbers: [85, 15]
Generated Node #3: [85, 15] from Operation: 60/4=15
Current State: 70:[85, 15], Operations: ['18+42=60', '60/4=15']
Exploring Operation: 85-15=70, Resulting Numbers: [70]
70,70 equal: Goal Reached
| 4 |
[
88,
72,
58,
19
] | 83 | [
"88+72=160",
"58+19=77",
"160-77=83"
] | Current State: 83:[88, 72, 58, 19], Operations: []
Exploring Operation: 88+72=160, Resulting Numbers: [58, 19, 160]
Generated Node #2: [58, 19, 160] from Operation: 88+72=160
Current State: 83:[58, 19, 160], Operations: ['88+72=160']
Exploring Operation: 58+19=77, Resulting Numbers: [160, 77]
Generated Node #3: [160, 77] from Operation: 58+19=77
Current State: 83:[160, 77], Operations: ['88+72=160', '58+19=77']
Exploring Operation: 160-77=83, Resulting Numbers: [83]
83,83 equal: Goal Reached
| 4 |
[
21,
98,
91,
93
] | 31 | [
"98-91=7",
"21/7=3",
"93/3=31"
] | Current State: 31:[21, 98, 91, 93], Operations: []
Exploring Operation: 98-91=7, Resulting Numbers: [21, 93, 7]
Generated Node #2: [21, 93, 7] from Operation: 98-91=7
Current State: 31:[21, 93, 7], Operations: ['98-91=7']
Exploring Operation: 21/7=3, Resulting Numbers: [93, 3]
Generated Node #3: [93, 3] from Operation: 21/7=3
Current State: 31:[93, 3], Operations: ['98-91=7', '21/7=3']
Exploring Operation: 93/3=31, Resulting Numbers: [31]
31,31 equal: Goal Reached
| 4 |
[
37,
34,
31,
44
] | 95 | [
"34-31=3",
"44*3=132",
"132-37=95"
] | Current State: 95:[37, 34, 31, 44], Operations: []
Exploring Operation: 34-31=3, Resulting Numbers: [37, 44, 3]
Generated Node #2: [37, 44, 3] from Operation: 34-31=3
Current State: 95:[37, 44, 3], Operations: ['34-31=3']
Exploring Operation: 44*3=132, Resulting Numbers: [37, 132]
Generated Node #3: [37, 132] from Operation: 44*3=132
Current State: 95:[37, 132], Operations: ['34-31=3', '44*3=132']
Exploring Operation: 132-37=95, Resulting Numbers: [95]
95,95 equal: Goal Reached
| 4 |
[
4,
60,
41,
15
] | 63 | [
"4+41=45",
"45/15=3",
"60+3=63"
] | Current State: 63:[4, 60, 41, 15], Operations: []
Exploring Operation: 4+41=45, Resulting Numbers: [60, 15, 45]
Generated Node #2: [60, 15, 45] from Operation: 4+41=45
Current State: 63:[60, 15, 45], Operations: ['4+41=45']
Exploring Operation: 45/15=3, Resulting Numbers: [60, 3]
Generated Node #3: [60, 3] from Operation: 45/15=3
Current State: 63:[60, 3], Operations: ['4+41=45', '45/15=3']
Exploring Operation: 60+3=63, Resulting Numbers: [63]
63,63 equal: Goal Reached
| 4 |
[
83,
7,
11,
56
] | 80 | [
"83-11=72",
"56/7=8",
"72+8=80"
] | Current State: 80:[83, 7, 11, 56], Operations: []
Exploring Operation: 83-11=72, Resulting Numbers: [7, 56, 72]
Generated Node #2: [7, 56, 72] from Operation: 83-11=72
Current State: 80:[7, 56, 72], Operations: ['83-11=72']
Exploring Operation: 56/7=8, Resulting Numbers: [72, 8]
Generated Node #3: [72, 8] from Operation: 56/7=8
Current State: 80:[72, 8], Operations: ['83-11=72', '56/7=8']
Exploring Operation: 72+8=80, Resulting Numbers: [80]
80,80 equal: Goal Reached
| 4 |
[
70,
79,
38,
44
] | 91 | [
"79-70=9",
"38+44=82",
"9+82=91"
] | Current State: 91:[70, 79, 38, 44], Operations: []
Exploring Operation: 79-70=9, Resulting Numbers: [38, 44, 9]
Generated Node #2: [38, 44, 9] from Operation: 79-70=9
Current State: 91:[38, 44, 9], Operations: ['79-70=9']
Exploring Operation: 38+44=82, Resulting Numbers: [9, 82]
Generated Node #3: [9, 82] from Operation: 38+44=82
Current State: 91:[9, 82], Operations: ['79-70=9', '38+44=82']
Exploring Operation: 9+82=91, Resulting Numbers: [91]
91,91 equal: Goal Reached
| 4 |
[
57,
49,
60,
20
] | 100 | [
"57-49=8",
"20*8=160",
"160-60=100"
] | Current State: 100:[57, 49, 60, 20], Operations: []
Exploring Operation: 57-49=8, Resulting Numbers: [60, 20, 8]
Generated Node #2: [60, 20, 8] from Operation: 57-49=8
Current State: 100:[60, 20, 8], Operations: ['57-49=8']
Exploring Operation: 20*8=160, Resulting Numbers: [60, 160]
Generated Node #3: [60, 160] from Operation: 20*8=160
Current State: 100:[60, 160], Operations: ['57-49=8', '20*8=160']
Exploring Operation: 160-60=100, Resulting Numbers: [100]
100,100 equal: Goal Reached
| 4 |
[
35,
8,
24,
16
] | 38 | [
"16-8=8",
"24/8=3",
"35+3=38"
] | Current State: 38:[35, 8, 24, 16], Operations: []
Exploring Operation: 16-8=8, Resulting Numbers: [35, 24, 8]
Generated Node #2: [35, 24, 8] from Operation: 16-8=8
Current State: 38:[35, 24, 8], Operations: ['16-8=8']
Exploring Operation: 24/8=3, Resulting Numbers: [35, 3]
Generated Node #3: [35, 3] from Operation: 24/8=3
Current State: 38:[35, 3], Operations: ['16-8=8', '24/8=3']
Exploring Operation: 35+3=38, Resulting Numbers: [38]
38,38 equal: Goal Reached
| 4 |
[
4,
29,
29,
70
] | 70 | [
"29-29=0",
"4*0=0",
"70+0=70"
] | Current State: 70:[4, 29, 29, 70], Operations: []
Exploring Operation: 29-29=0, Resulting Numbers: [4, 70, 0]
Generated Node #2: [4, 70, 0] from Operation: 29-29=0
Current State: 70:[4, 70, 0], Operations: ['29-29=0']
Exploring Operation: 4*0=0, Resulting Numbers: [70, 0]
Generated Node #3: [70, 0] from Operation: 4*0=0
Current State: 70:[70, 0], Operations: ['29-29=0', '4*0=0']
Exploring Operation: 70+0=70, Resulting Numbers: [70]
70,70 equal: Goal Reached
| 4 |
[
83,
38,
3,
95
] | 29 | [
"83+38=121",
"95-3=92",
"121-92=29"
] | Current State: 29:[83, 38, 3, 95], Operations: []
Exploring Operation: 83+38=121, Resulting Numbers: [3, 95, 121]
Generated Node #2: [3, 95, 121] from Operation: 83+38=121
Current State: 29:[3, 95, 121], Operations: ['83+38=121']
Exploring Operation: 95-3=92, Resulting Numbers: [121, 92]
Generated Node #3: [121, 92] from Operation: 95-3=92
Current State: 29:[121, 92], Operations: ['83+38=121', '95-3=92']
Exploring Operation: 121-92=29, Resulting Numbers: [29]
29,29 equal: Goal Reached
| 4 |
[
48,
71,
64,
7
] | 94 | [
"71-48=23",
"64+7=71",
"23+71=94"
] | Current State: 94:[48, 71, 64, 7], Operations: []
Exploring Operation: 71-48=23, Resulting Numbers: [64, 7, 23]
Generated Node #2: [64, 7, 23] from Operation: 71-48=23
Current State: 94:[64, 7, 23], Operations: ['71-48=23']
Exploring Operation: 64+7=71, Resulting Numbers: [23, 71]
Generated Node #3: [23, 71] from Operation: 64+7=71
Current State: 94:[23, 71], Operations: ['71-48=23', '64+7=71']
Exploring Operation: 23+71=94, Resulting Numbers: [94]
94,94 equal: Goal Reached
| 4 |
[
2,
29,
46,
96
] | 62 | [
"46-29=17",
"2*17=34",
"96-34=62"
] | Current State: 62:[2, 29, 46, 96], Operations: []
Exploring Operation: 46-29=17, Resulting Numbers: [2, 96, 17]
Generated Node #2: [2, 96, 17] from Operation: 46-29=17
Current State: 62:[2, 96, 17], Operations: ['46-29=17']
Exploring Operation: 2*17=34, Resulting Numbers: [96, 34]
Generated Node #3: [96, 34] from Operation: 2*17=34
Current State: 62:[96, 34], Operations: ['46-29=17', '2*17=34']
Exploring Operation: 96-34=62, Resulting Numbers: [62]
62,62 equal: Goal Reached
| 4 |
[
40,
23,
8,
48
] | 23 | [
"40+23=63",
"48-8=40",
"63-40=23"
] | Current State: 23:[40, 23, 8, 48], Operations: []
Exploring Operation: 40+23=63, Resulting Numbers: [8, 48, 63]
Generated Node #2: [8, 48, 63] from Operation: 40+23=63
Current State: 23:[8, 48, 63], Operations: ['40+23=63']
Exploring Operation: 48-8=40, Resulting Numbers: [63, 40]
Generated Node #3: [63, 40] from Operation: 48-8=40
Current State: 23:[63, 40], Operations: ['40+23=63', '48-8=40']
Exploring Operation: 63-40=23, Resulting Numbers: [23]
23,23 equal: Goal Reached
| 4 |
[
75,
2,
28,
18
] | 67 | [
"75+2=77",
"28-18=10",
"77-10=67"
] | Current State: 67:[75, 2, 28, 18], Operations: []
Exploring Operation: 75+2=77, Resulting Numbers: [28, 18, 77]
Generated Node #2: [28, 18, 77] from Operation: 75+2=77
Current State: 67:[28, 18, 77], Operations: ['75+2=77']
Exploring Operation: 28-18=10, Resulting Numbers: [77, 10]
Generated Node #3: [77, 10] from Operation: 28-18=10
Current State: 67:[77, 10], Operations: ['75+2=77', '28-18=10']
Exploring Operation: 77-10=67, Resulting Numbers: [67]
67,67 equal: Goal Reached
| 4 |
[
57,
27,
53,
2
] | 88 | [
"57*2=114",
"53-27=26",
"114-26=88"
] | Current State: 88:[57, 27, 53, 2], Operations: []
Exploring Operation: 57*2=114, Resulting Numbers: [27, 53, 114]
Generated Node #2: [27, 53, 114] from Operation: 57*2=114
Current State: 88:[27, 53, 114], Operations: ['57*2=114']
Exploring Operation: 53-27=26, Resulting Numbers: [114, 26]
Generated Node #3: [114, 26] from Operation: 53-27=26
Current State: 88:[114, 26], Operations: ['57*2=114', '53-27=26']
Exploring Operation: 114-26=88, Resulting Numbers: [88]
88,88 equal: Goal Reached
| 4 |
[
15,
37,
31,
53
] | 30 | [
"15+37=52",
"53-31=22",
"52-22=30"
] | Current State: 30:[15, 37, 31, 53], Operations: []
Exploring Operation: 15+37=52, Resulting Numbers: [31, 53, 52]
Generated Node #2: [31, 53, 52] from Operation: 15+37=52
Current State: 30:[31, 53, 52], Operations: ['15+37=52']
Exploring Operation: 53-31=22, Resulting Numbers: [52, 22]
Generated Node #3: [52, 22] from Operation: 53-31=22
Current State: 30:[52, 22], Operations: ['15+37=52', '53-31=22']
Exploring Operation: 52-22=30, Resulting Numbers: [30]
30,30 equal: Goal Reached
| 4 |
[
62,
4,
2,
13
] | 14 | [
"62/2=31",
"4+13=17",
"31-17=14"
] | Current State: 14:[62, 4, 2, 13], Operations: []
Exploring Operation: 62/2=31, Resulting Numbers: [4, 13, 31]
Generated Node #2: [4, 13, 31] from Operation: 62/2=31
Current State: 14:[4, 13, 31], Operations: ['62/2=31']
Exploring Operation: 4+13=17, Resulting Numbers: [31, 17]
Generated Node #3: [31, 17] from Operation: 4+13=17
Current State: 14:[31, 17], Operations: ['62/2=31', '4+13=17']
Exploring Operation: 31-17=14, Resulting Numbers: [14]
14,14 equal: Goal Reached
| 4 |
[
90,
4,
49,
87
] | 77 | [
"90-49=41",
"4*41=164",
"164-87=77"
] | Current State: 77:[90, 4, 49, 87], Operations: []
Exploring Operation: 90-49=41, Resulting Numbers: [4, 87, 41]
Generated Node #2: [4, 87, 41] from Operation: 90-49=41
Current State: 77:[4, 87, 41], Operations: ['90-49=41']
Exploring Operation: 4*41=164, Resulting Numbers: [87, 164]
Generated Node #3: [87, 164] from Operation: 4*41=164
Current State: 77:[87, 164], Operations: ['90-49=41', '4*41=164']
Exploring Operation: 164-87=77, Resulting Numbers: [77]
77,77 equal: Goal Reached
| 4 |
[
81,
99,
45,
59
] | 55 | [
"81+99=180",
"180/45=4",
"59-4=55"
] | Current State: 55:[81, 99, 45, 59], Operations: []
Exploring Operation: 81+99=180, Resulting Numbers: [45, 59, 180]
Generated Node #2: [45, 59, 180] from Operation: 81+99=180
Current State: 55:[45, 59, 180], Operations: ['81+99=180']
Exploring Operation: 180/45=4, Resulting Numbers: [59, 4]
Generated Node #3: [59, 4] from Operation: 180/45=4
Current State: 55:[59, 4], Operations: ['81+99=180', '180/45=4']
Exploring Operation: 59-4=55, Resulting Numbers: [55]
55,55 equal: Goal Reached
| 4 |
[
10,
76,
65,
95
] | 95 | [
"76-10=66",
"66-65=1",
"95*1=95"
] | Current State: 95:[10, 76, 65, 95], Operations: []
Exploring Operation: 76-10=66, Resulting Numbers: [65, 95, 66]
Generated Node #2: [65, 95, 66] from Operation: 76-10=66
Current State: 95:[65, 95, 66], Operations: ['76-10=66']
Exploring Operation: 66-65=1, Resulting Numbers: [95, 1]
Generated Node #3: [95, 1] from Operation: 66-65=1
Current State: 95:[95, 1], Operations: ['76-10=66', '66-65=1']
Exploring Operation: 95*1=95, Resulting Numbers: [95]
95,95 equal: Goal Reached
| 4 |
[
27,
45,
40,
75
] | 21 | [
"75-40=35",
"27*35=945",
"945/45=21"
] | Current State: 21:[27, 45, 40, 75], Operations: []
Exploring Operation: 75-40=35, Resulting Numbers: [27, 45, 35]
Generated Node #2: [27, 45, 35] from Operation: 75-40=35
Current State: 21:[27, 45, 35], Operations: ['75-40=35']
Exploring Operation: 27*35=945, Resulting Numbers: [45, 945]
Generated Node #3: [45, 945] from Operation: 27*35=945
Current State: 21:[45, 945], Operations: ['75-40=35', '27*35=945']
Exploring Operation: 945/45=21, Resulting Numbers: [21]
21,21 equal: Goal Reached
| 4 |
[
56,
22,
16,
23
] | 72 | [
"56+16=72",
"23-22=1",
"72*1=72"
] | Current State: 72:[56, 22, 16, 23], Operations: []
Exploring Operation: 56+16=72, Resulting Numbers: [22, 23, 72]
Generated Node #2: [22, 23, 72] from Operation: 56+16=72
Current State: 72:[22, 23, 72], Operations: ['56+16=72']
Exploring Operation: 23-22=1, Resulting Numbers: [72, 1]
Generated Node #3: [72, 1] from Operation: 23-22=1
Current State: 72:[72, 1], Operations: ['56+16=72', '23-22=1']
Exploring Operation: 72*1=72, Resulting Numbers: [72]
72,72 equal: Goal Reached
| 4 |
[
23,
7,
11,
41
] | 60 | [
"23+7=30",
"41-11=30",
"30+30=60"
] | Current State: 60:[23, 7, 11, 41], Operations: []
Exploring Operation: 23+7=30, Resulting Numbers: [11, 41, 30]
Generated Node #2: [11, 41, 30] from Operation: 23+7=30
Current State: 60:[11, 41, 30], Operations: ['23+7=30']
Exploring Operation: 41-11=30, Resulting Numbers: [30, 30]
Generated Node #3: [30, 30] from Operation: 41-11=30
Current State: 60:[30, 30], Operations: ['23+7=30', '41-11=30']
Exploring Operation: 30+30=60, Resulting Numbers: [60]
60,60 equal: Goal Reached
| 4 |
[
16,
49,
15,
31
] | 17 | [
"49-16=33",
"31-15=16",
"33-16=17"
] | Current State: 17:[16, 49, 15, 31], Operations: []
Exploring Operation: 49-16=33, Resulting Numbers: [15, 31, 33]
Generated Node #2: [15, 31, 33] from Operation: 49-16=33
Current State: 17:[15, 31, 33], Operations: ['49-16=33']
Exploring Operation: 31-15=16, Resulting Numbers: [33, 16]
Generated Node #3: [33, 16] from Operation: 31-15=16
Current State: 17:[33, 16], Operations: ['49-16=33', '31-15=16']
Exploring Operation: 33-16=17, Resulting Numbers: [17]
17,17 equal: Goal Reached
| 4 |
[
34,
82,
68,
14
] | 98 | [
"68/34=2",
"82+14=96",
"2+96=98"
] | Current State: 98:[34, 82, 68, 14], Operations: []
Exploring Operation: 68/34=2, Resulting Numbers: [82, 14, 2]
Generated Node #2: [82, 14, 2] from Operation: 68/34=2
Current State: 98:[82, 14, 2], Operations: ['68/34=2']
Exploring Operation: 82+14=96, Resulting Numbers: [2, 96]
Generated Node #3: [2, 96] from Operation: 82+14=96
Current State: 98:[2, 96], Operations: ['68/34=2', '82+14=96']
Exploring Operation: 2+96=98, Resulting Numbers: [98]
98,98 equal: Goal Reached
| 4 |
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