nums listlengths 4 4 | target int64 10 100 | solution listlengths 3 3 | optimal_path stringlengths 282 529 | start_size int64 4 4 |
|---|---|---|---|---|
[
86,
32,
15,
89
] | 27 | [
"89-86=3",
"15/3=5",
"32-5=27"
] | Current State: 27:[86, 32, 15, 89], Operations: []
Exploring Operation: 89-86=3, Resulting Numbers: [32, 15, 3]
Generated Node #2: [32, 15, 3] from Operation: 89-86=3
Current State: 27:[32, 15, 3], Operations: ['89-86=3']
Exploring Operation: 15/3=5, Resulting Numbers: [32, 5]
Generated Node #3: [32, 5] from Operation: 15/3=5
Current State: 27:[32, 5], Operations: ['89-86=3', '15/3=5']
Exploring Operation: 32-5=27, Resulting Numbers: [27]
27,27 equal: Goal Reached
| 4 |
[
18,
7,
63,
71
] | 98 | [
"18+71=89",
"63/7=9",
"89+9=98"
] | Current State: 98:[18, 7, 63, 71], Operations: []
Exploring Operation: 18+71=89, Resulting Numbers: [7, 63, 89]
Generated Node #2: [7, 63, 89] from Operation: 18+71=89
Current State: 98:[7, 63, 89], Operations: ['18+71=89']
Exploring Operation: 63/7=9, Resulting Numbers: [89, 9]
Generated Node #3: [89, 9] from Operation: 63/7=9
Current State: 98:[89, 9], Operations: ['18+71=89', '63/7=9']
Exploring Operation: 89+9=98, Resulting Numbers: [98]
98,98 equal: Goal Reached
| 4 |
[
23,
98,
47,
20
] | 17 | [
"23-20=3",
"98-47=51",
"51/3=17"
] | Current State: 17:[23, 98, 47, 20], Operations: []
Exploring Operation: 23-20=3, Resulting Numbers: [98, 47, 3]
Generated Node #2: [98, 47, 3] from Operation: 23-20=3
Current State: 17:[98, 47, 3], Operations: ['23-20=3']
Exploring Operation: 98-47=51, Resulting Numbers: [3, 51]
Generated Node #3: [3, 51] from Operation: 98-47=51
Current State: 17:[3, 51], Operations: ['23-20=3', '98-47=51']
Exploring Operation: 51/3=17, Resulting Numbers: [17]
17,17 equal: Goal Reached
| 4 |
[
9,
48,
91,
5
] | 26 | [
"48-9=39",
"91+39=130",
"130/5=26"
] | Current State: 26:[9, 48, 91, 5], Operations: []
Exploring Operation: 48-9=39, Resulting Numbers: [91, 5, 39]
Generated Node #2: [91, 5, 39] from Operation: 48-9=39
Current State: 26:[91, 5, 39], Operations: ['48-9=39']
Exploring Operation: 91+39=130, Resulting Numbers: [5, 130]
Generated Node #3: [5, 130] from Operation: 91+39=130
Current State: 26:[5, 130], Operations: ['48-9=39', '91+39=130']
Exploring Operation: 130/5=26, Resulting Numbers: [26]
26,26 equal: Goal Reached
| 4 |
[
21,
60,
30,
21
] | 90 | [
"21+60=81",
"30-21=9",
"81+9=90"
] | Current State: 90:[21, 60, 30, 21], Operations: []
Exploring Operation: 21+60=81, Resulting Numbers: [30, 81]
Generated Node #2: [30, 81] from Operation: 21+60=81
Current State: 90:[30, 81], Operations: ['21+60=81']
Exploring Operation: 30-21=9, Resulting Numbers: [81, 9]
Generated Node #3: [81, 9] from Operation: 30-21=9
Current State: 90:[81, 9], Operations: ['21+60=81', '30-21=9']
Exploring Operation: 81+9=90, Resulting Numbers: [90]
90,90 equal: Goal Reached
| 4 |
[
58,
55,
68,
13
] | 78 | [
"58-55=3",
"68+13=81",
"81-3=78"
] | Current State: 78:[58, 55, 68, 13], Operations: []
Exploring Operation: 58-55=3, Resulting Numbers: [68, 13, 3]
Generated Node #2: [68, 13, 3] from Operation: 58-55=3
Current State: 78:[68, 13, 3], Operations: ['58-55=3']
Exploring Operation: 68+13=81, Resulting Numbers: [3, 81]
Generated Node #3: [3, 81] from Operation: 68+13=81
Current State: 78:[3, 81], Operations: ['58-55=3', '68+13=81']
Exploring Operation: 81-3=78, Resulting Numbers: [78]
78,78 equal: Goal Reached
| 4 |
[
94,
96,
68,
75
] | 82 | [
"96-94=2",
"75*2=150",
"150-68=82"
] | Current State: 82:[94, 96, 68, 75], Operations: []
Exploring Operation: 96-94=2, Resulting Numbers: [68, 75, 2]
Generated Node #2: [68, 75, 2] from Operation: 96-94=2
Current State: 82:[68, 75, 2], Operations: ['96-94=2']
Exploring Operation: 75*2=150, Resulting Numbers: [68, 150]
Generated Node #3: [68, 150] from Operation: 75*2=150
Current State: 82:[68, 150], Operations: ['96-94=2', '75*2=150']
Exploring Operation: 150-68=82, Resulting Numbers: [82]
82,82 equal: Goal Reached
| 4 |
[
73,
29,
18,
17
] | 67 | [
"73+29=102",
"18+17=35",
"102-35=67"
] | Current State: 67:[73, 29, 18, 17], Operations: []
Exploring Operation: 73+29=102, Resulting Numbers: [18, 17, 102]
Generated Node #2: [18, 17, 102] from Operation: 73+29=102
Current State: 67:[18, 17, 102], Operations: ['73+29=102']
Exploring Operation: 18+17=35, Resulting Numbers: [102, 35]
Generated Node #3: [102, 35] from Operation: 18+17=35
Current State: 67:[102, 35], Operations: ['73+29=102', '18+17=35']
Exploring Operation: 102-35=67, Resulting Numbers: [67]
67,67 equal: Goal Reached
| 4 |
[
84,
45,
3,
49
] | 12 | [
"45-3=42",
"49-42=7",
"84/7=12"
] | Current State: 12:[84, 45, 3, 49], Operations: []
Exploring Operation: 45-3=42, Resulting Numbers: [84, 49, 42]
Generated Node #2: [84, 49, 42] from Operation: 45-3=42
Current State: 12:[84, 49, 42], Operations: ['45-3=42']
Exploring Operation: 49-42=7, Resulting Numbers: [84, 7]
Generated Node #3: [84, 7] from Operation: 49-42=7
Current State: 12:[84, 7], Operations: ['45-3=42', '49-42=7']
Exploring Operation: 84/7=12, Resulting Numbers: [12]
12,12 equal: Goal Reached
| 4 |
[
16,
66,
42,
41
] | 49 | [
"66-16=50",
"42-41=1",
"50-1=49"
] | Current State: 49:[16, 66, 42, 41], Operations: []
Exploring Operation: 66-16=50, Resulting Numbers: [42, 41, 50]
Generated Node #2: [42, 41, 50] from Operation: 66-16=50
Current State: 49:[42, 41, 50], Operations: ['66-16=50']
Exploring Operation: 42-41=1, Resulting Numbers: [50, 1]
Generated Node #3: [50, 1] from Operation: 42-41=1
Current State: 49:[50, 1], Operations: ['66-16=50', '42-41=1']
Exploring Operation: 50-1=49, Resulting Numbers: [49]
49,49 equal: Goal Reached
| 4 |
[
47,
6,
88,
23
] | 56 | [
"47-23=24",
"6*24=144",
"144-88=56"
] | Current State: 56:[47, 6, 88, 23], Operations: []
Exploring Operation: 47-23=24, Resulting Numbers: [6, 88, 24]
Generated Node #2: [6, 88, 24] from Operation: 47-23=24
Current State: 56:[6, 88, 24], Operations: ['47-23=24']
Exploring Operation: 6*24=144, Resulting Numbers: [88, 144]
Generated Node #3: [88, 144] from Operation: 6*24=144
Current State: 56:[88, 144], Operations: ['47-23=24', '6*24=144']
Exploring Operation: 144-88=56, Resulting Numbers: [56]
56,56 equal: Goal Reached
| 4 |
[
36,
81,
95,
98
] | 93 | [
"98-95=3",
"36/3=12",
"81+12=93"
] | Current State: 93:[36, 81, 95, 98], Operations: []
Exploring Operation: 98-95=3, Resulting Numbers: [36, 81, 3]
Generated Node #2: [36, 81, 3] from Operation: 98-95=3
Current State: 93:[36, 81, 3], Operations: ['98-95=3']
Exploring Operation: 36/3=12, Resulting Numbers: [81, 12]
Generated Node #3: [81, 12] from Operation: 36/3=12
Current State: 93:[81, 12], Operations: ['98-95=3', '36/3=12']
Exploring Operation: 81+12=93, Resulting Numbers: [93]
93,93 equal: Goal Reached
| 4 |
[
3,
17,
99,
5
] | 80 | [
"17-3=14",
"99-5=94",
"94-14=80"
] | Current State: 80:[3, 17, 99, 5], Operations: []
Exploring Operation: 17-3=14, Resulting Numbers: [99, 5, 14]
Generated Node #2: [99, 5, 14] from Operation: 17-3=14
Current State: 80:[99, 5, 14], Operations: ['17-3=14']
Exploring Operation: 99-5=94, Resulting Numbers: [14, 94]
Generated Node #3: [14, 94] from Operation: 99-5=94
Current State: 80:[14, 94], Operations: ['17-3=14', '99-5=94']
Exploring Operation: 94-14=80, Resulting Numbers: [80]
80,80 equal: Goal Reached
| 4 |
[
35,
71,
27,
37
] | 42 | [
"35+71=106",
"27+37=64",
"106-64=42"
] | Current State: 42:[35, 71, 27, 37], Operations: []
Exploring Operation: 35+71=106, Resulting Numbers: [27, 37, 106]
Generated Node #2: [27, 37, 106] from Operation: 35+71=106
Current State: 42:[27, 37, 106], Operations: ['35+71=106']
Exploring Operation: 27+37=64, Resulting Numbers: [106, 64]
Generated Node #3: [106, 64] from Operation: 27+37=64
Current State: 42:[106, 64], Operations: ['35+71=106', '27+37=64']
Exploring Operation: 106-64=42, Resulting Numbers: [42]
42,42 equal: Goal Reached
| 4 |
[
18,
84,
7,
20
] | 93 | [
"84-18=66",
"7+20=27",
"66+27=93"
] | Current State: 93:[18, 84, 7, 20], Operations: []
Exploring Operation: 84-18=66, Resulting Numbers: [7, 20, 66]
Generated Node #2: [7, 20, 66] from Operation: 84-18=66
Current State: 93:[7, 20, 66], Operations: ['84-18=66']
Exploring Operation: 7+20=27, Resulting Numbers: [66, 27]
Generated Node #3: [66, 27] from Operation: 7+20=27
Current State: 93:[66, 27], Operations: ['84-18=66', '7+20=27']
Exploring Operation: 66+27=93, Resulting Numbers: [93]
93,93 equal: Goal Reached
| 4 |
[
8,
45,
68,
54
] | 39 | [
"8+45=53",
"68-54=14",
"53-14=39"
] | Current State: 39:[8, 45, 68, 54], Operations: []
Exploring Operation: 8+45=53, Resulting Numbers: [68, 54, 53]
Generated Node #2: [68, 54, 53] from Operation: 8+45=53
Current State: 39:[68, 54, 53], Operations: ['8+45=53']
Exploring Operation: 68-54=14, Resulting Numbers: [53, 14]
Generated Node #3: [53, 14] from Operation: 68-54=14
Current State: 39:[53, 14], Operations: ['8+45=53', '68-54=14']
Exploring Operation: 53-14=39, Resulting Numbers: [39]
39,39 equal: Goal Reached
| 4 |
[
45,
60,
84,
12
] | 98 | [
"45+60=105",
"84/12=7",
"105-7=98"
] | Current State: 98:[45, 60, 84, 12], Operations: []
Exploring Operation: 45+60=105, Resulting Numbers: [84, 12, 105]
Generated Node #2: [84, 12, 105] from Operation: 45+60=105
Current State: 98:[84, 12, 105], Operations: ['45+60=105']
Exploring Operation: 84/12=7, Resulting Numbers: [105, 7]
Generated Node #3: [105, 7] from Operation: 84/12=7
Current State: 98:[105, 7], Operations: ['45+60=105', '84/12=7']
Exploring Operation: 105-7=98, Resulting Numbers: [98]
98,98 equal: Goal Reached
| 4 |
[
62,
82,
40,
3
] | 63 | [
"82-62=20",
"40+3=43",
"20+43=63"
] | Current State: 63:[62, 82, 40, 3], Operations: []
Exploring Operation: 82-62=20, Resulting Numbers: [40, 3, 20]
Generated Node #2: [40, 3, 20] from Operation: 82-62=20
Current State: 63:[40, 3, 20], Operations: ['82-62=20']
Exploring Operation: 40+3=43, Resulting Numbers: [20, 43]
Generated Node #3: [20, 43] from Operation: 40+3=43
Current State: 63:[20, 43], Operations: ['82-62=20', '40+3=43']
Exploring Operation: 20+43=63, Resulting Numbers: [63]
63,63 equal: Goal Reached
| 4 |
[
51,
47,
11,
66
] | 59 | [
"51-47=4",
"66-11=55",
"4+55=59"
] | Current State: 59:[51, 47, 11, 66], Operations: []
Exploring Operation: 51-47=4, Resulting Numbers: [11, 66, 4]
Generated Node #2: [11, 66, 4] from Operation: 51-47=4
Current State: 59:[11, 66, 4], Operations: ['51-47=4']
Exploring Operation: 66-11=55, Resulting Numbers: [4, 55]
Generated Node #3: [4, 55] from Operation: 66-11=55
Current State: 59:[4, 55], Operations: ['51-47=4', '66-11=55']
Exploring Operation: 4+55=59, Resulting Numbers: [59]
59,59 equal: Goal Reached
| 4 |
[
1,
54,
16,
48
] | 19 | [
"54*16=864",
"864/48=18",
"1+18=19"
] | Current State: 19:[1, 54, 16, 48], Operations: []
Exploring Operation: 54*16=864, Resulting Numbers: [1, 48, 864]
Generated Node #2: [1, 48, 864] from Operation: 54*16=864
Current State: 19:[1, 48, 864], Operations: ['54*16=864']
Exploring Operation: 864/48=18, Resulting Numbers: [1, 18]
Generated Node #3: [1, 18] from Operation: 864/48=18
Current State: 19:[1, 18], Operations: ['54*16=864', '864/48=18']
Exploring Operation: 1+18=19, Resulting Numbers: [19]
19,19 equal: Goal Reached
| 4 |
[
35,
45,
36,
87
] | 43 | [
"35+45=80",
"36+87=123",
"123-80=43"
] | Current State: 43:[35, 45, 36, 87], Operations: []
Exploring Operation: 35+45=80, Resulting Numbers: [36, 87, 80]
Generated Node #2: [36, 87, 80] from Operation: 35+45=80
Current State: 43:[36, 87, 80], Operations: ['35+45=80']
Exploring Operation: 36+87=123, Resulting Numbers: [80, 123]
Generated Node #3: [80, 123] from Operation: 36+87=123
Current State: 43:[80, 123], Operations: ['35+45=80', '36+87=123']
Exploring Operation: 123-80=43, Resulting Numbers: [43]
43,43 equal: Goal Reached
| 4 |
[
95,
85,
62,
50
] | 67 | [
"95-85=10",
"50/10=5",
"62+5=67"
] | Current State: 67:[95, 85, 62, 50], Operations: []
Exploring Operation: 95-85=10, Resulting Numbers: [62, 50, 10]
Generated Node #2: [62, 50, 10] from Operation: 95-85=10
Current State: 67:[62, 50, 10], Operations: ['95-85=10']
Exploring Operation: 50/10=5, Resulting Numbers: [62, 5]
Generated Node #3: [62, 5] from Operation: 50/10=5
Current State: 67:[62, 5], Operations: ['95-85=10', '50/10=5']
Exploring Operation: 62+5=67, Resulting Numbers: [67]
67,67 equal: Goal Reached
| 4 |
[
14,
80,
52,
36
] | 18 | [
"14*52=728",
"728-80=648",
"648/36=18"
] | Current State: 18:[14, 80, 52, 36], Operations: []
Exploring Operation: 14*52=728, Resulting Numbers: [80, 36, 728]
Generated Node #2: [80, 36, 728] from Operation: 14*52=728
Current State: 18:[80, 36, 728], Operations: ['14*52=728']
Exploring Operation: 728-80=648, Resulting Numbers: [36, 648]
Generated Node #3: [36, 648] from Operation: 728-80=648
Current State: 18:[36, 648], Operations: ['14*52=728', '728-80=648']
Exploring Operation: 648/36=18, Resulting Numbers: [18]
18,18 equal: Goal Reached
| 4 |
[
6,
28,
4,
97
] | 59 | [
"6+28=34",
"97-4=93",
"93-34=59"
] | Current State: 59:[6, 28, 4, 97], Operations: []
Exploring Operation: 6+28=34, Resulting Numbers: [4, 97, 34]
Generated Node #2: [4, 97, 34] from Operation: 6+28=34
Current State: 59:[4, 97, 34], Operations: ['6+28=34']
Exploring Operation: 97-4=93, Resulting Numbers: [34, 93]
Generated Node #3: [34, 93] from Operation: 97-4=93
Current State: 59:[34, 93], Operations: ['6+28=34', '97-4=93']
Exploring Operation: 93-34=59, Resulting Numbers: [59]
59,59 equal: Goal Reached
| 4 |
[
30,
5,
40,
80
] | 37 | [
"30+5=35",
"80/40=2",
"35+2=37"
] | Current State: 37:[30, 5, 40, 80], Operations: []
Exploring Operation: 30+5=35, Resulting Numbers: [40, 80, 35]
Generated Node #2: [40, 80, 35] from Operation: 30+5=35
Current State: 37:[40, 80, 35], Operations: ['30+5=35']
Exploring Operation: 80/40=2, Resulting Numbers: [35, 2]
Generated Node #3: [35, 2] from Operation: 80/40=2
Current State: 37:[35, 2], Operations: ['30+5=35', '80/40=2']
Exploring Operation: 35+2=37, Resulting Numbers: [37]
37,37 equal: Goal Reached
| 4 |
[
1,
2,
46,
44
] | 93 | [
"1+2=3",
"46+44=90",
"3+90=93"
] | Current State: 93:[1, 2, 46, 44], Operations: []
Exploring Operation: 1+2=3, Resulting Numbers: [46, 44, 3]
Generated Node #2: [46, 44, 3] from Operation: 1+2=3
Current State: 93:[46, 44, 3], Operations: ['1+2=3']
Exploring Operation: 46+44=90, Resulting Numbers: [3, 90]
Generated Node #3: [3, 90] from Operation: 46+44=90
Current State: 93:[3, 90], Operations: ['1+2=3', '46+44=90']
Exploring Operation: 3+90=93, Resulting Numbers: [93]
93,93 equal: Goal Reached
| 4 |
[
85,
55,
20,
84
] | 77 | [
"85+55=140",
"140/20=7",
"84-7=77"
] | Current State: 77:[85, 55, 20, 84], Operations: []
Exploring Operation: 85+55=140, Resulting Numbers: [20, 84, 140]
Generated Node #2: [20, 84, 140] from Operation: 85+55=140
Current State: 77:[20, 84, 140], Operations: ['85+55=140']
Exploring Operation: 140/20=7, Resulting Numbers: [84, 7]
Generated Node #3: [84, 7] from Operation: 140/20=7
Current State: 77:[84, 7], Operations: ['85+55=140', '140/20=7']
Exploring Operation: 84-7=77, Resulting Numbers: [77]
77,77 equal: Goal Reached
| 4 |
[
69,
60,
83,
24
] | 27 | [
"83-60=23",
"69/23=3",
"24+3=27"
] | Current State: 27:[69, 60, 83, 24], Operations: []
Exploring Operation: 83-60=23, Resulting Numbers: [69, 24, 23]
Generated Node #2: [69, 24, 23] from Operation: 83-60=23
Current State: 27:[69, 24, 23], Operations: ['83-60=23']
Exploring Operation: 69/23=3, Resulting Numbers: [24, 3]
Generated Node #3: [24, 3] from Operation: 69/23=3
Current State: 27:[24, 3], Operations: ['83-60=23', '69/23=3']
Exploring Operation: 24+3=27, Resulting Numbers: [27]
27,27 equal: Goal Reached
| 4 |
[
39,
65,
87,
86
] | 26 | [
"65-39=26",
"87-86=1",
"26*1=26"
] | Current State: 26:[39, 65, 87, 86], Operations: []
Exploring Operation: 65-39=26, Resulting Numbers: [87, 86, 26]
Generated Node #2: [87, 86, 26] from Operation: 65-39=26
Current State: 26:[87, 86, 26], Operations: ['65-39=26']
Exploring Operation: 87-86=1, Resulting Numbers: [26, 1]
Generated Node #3: [26, 1] from Operation: 87-86=1
Current State: 26:[26, 1], Operations: ['65-39=26', '87-86=1']
Exploring Operation: 26*1=26, Resulting Numbers: [26]
26,26 equal: Goal Reached
| 4 |
[
58,
3,
10,
40
] | 68 | [
"58+40=98",
"3*10=30",
"98-30=68"
] | Current State: 68:[58, 3, 10, 40], Operations: []
Exploring Operation: 58+40=98, Resulting Numbers: [3, 10, 98]
Generated Node #2: [3, 10, 98] from Operation: 58+40=98
Current State: 68:[3, 10, 98], Operations: ['58+40=98']
Exploring Operation: 3*10=30, Resulting Numbers: [98, 30]
Generated Node #3: [98, 30] from Operation: 3*10=30
Current State: 68:[98, 30], Operations: ['58+40=98', '3*10=30']
Exploring Operation: 98-30=68, Resulting Numbers: [68]
68,68 equal: Goal Reached
| 4 |
[
25,
68,
7,
20
] | 24 | [
"25*20=500",
"68*7=476",
"500-476=24"
] | Current State: 24:[25, 68, 7, 20], Operations: []
Exploring Operation: 25*20=500, Resulting Numbers: [68, 7, 500]
Generated Node #2: [68, 7, 500] from Operation: 25*20=500
Current State: 24:[68, 7, 500], Operations: ['25*20=500']
Exploring Operation: 68*7=476, Resulting Numbers: [500, 476]
Generated Node #3: [500, 476] from Operation: 68*7=476
Current State: 24:[500, 476], Operations: ['25*20=500', '68*7=476']
Exploring Operation: 500-476=24, Resulting Numbers: [24]
24,24 equal: Goal Reached
| 4 |
[
77,
60,
65,
30
] | 73 | [
"65-60=5",
"30*5=150",
"150-77=73"
] | Current State: 73:[77, 60, 65, 30], Operations: []
Exploring Operation: 65-60=5, Resulting Numbers: [77, 30, 5]
Generated Node #2: [77, 30, 5] from Operation: 65-60=5
Current State: 73:[77, 30, 5], Operations: ['65-60=5']
Exploring Operation: 30*5=150, Resulting Numbers: [77, 150]
Generated Node #3: [77, 150] from Operation: 30*5=150
Current State: 73:[77, 150], Operations: ['65-60=5', '30*5=150']
Exploring Operation: 150-77=73, Resulting Numbers: [73]
73,73 equal: Goal Reached
| 4 |
[
68,
47,
23,
45
] | 64 | [
"47+45=92",
"92/23=4",
"68-4=64"
] | Current State: 64:[68, 47, 23, 45], Operations: []
Exploring Operation: 47+45=92, Resulting Numbers: [68, 23, 92]
Generated Node #2: [68, 23, 92] from Operation: 47+45=92
Current State: 64:[68, 23, 92], Operations: ['47+45=92']
Exploring Operation: 92/23=4, Resulting Numbers: [68, 4]
Generated Node #3: [68, 4] from Operation: 92/23=4
Current State: 64:[68, 4], Operations: ['47+45=92', '92/23=4']
Exploring Operation: 68-4=64, Resulting Numbers: [64]
64,64 equal: Goal Reached
| 4 |
[
31,
64,
54,
5
] | 16 | [
"64-31=33",
"54-5=49",
"49-33=16"
] | Current State: 16:[31, 64, 54, 5], Operations: []
Exploring Operation: 64-31=33, Resulting Numbers: [54, 5, 33]
Generated Node #2: [54, 5, 33] from Operation: 64-31=33
Current State: 16:[54, 5, 33], Operations: ['64-31=33']
Exploring Operation: 54-5=49, Resulting Numbers: [33, 49]
Generated Node #3: [33, 49] from Operation: 54-5=49
Current State: 16:[33, 49], Operations: ['64-31=33', '54-5=49']
Exploring Operation: 49-33=16, Resulting Numbers: [16]
16,16 equal: Goal Reached
| 4 |
[
54,
65,
3,
53
] | 62 | [
"54-53=1",
"65-3=62",
"1*62=62"
] | Current State: 62:[54, 65, 3, 53], Operations: []
Exploring Operation: 54-53=1, Resulting Numbers: [65, 3, 1]
Generated Node #2: [65, 3, 1] from Operation: 54-53=1
Current State: 62:[65, 3, 1], Operations: ['54-53=1']
Exploring Operation: 65-3=62, Resulting Numbers: [1, 62]
Generated Node #3: [1, 62] from Operation: 65-3=62
Current State: 62:[1, 62], Operations: ['54-53=1', '65-3=62']
Exploring Operation: 1*62=62, Resulting Numbers: [62]
62,62 equal: Goal Reached
| 4 |
[
88,
3,
76,
26
] | 54 | [
"76+26=102",
"102/3=34",
"88-34=54"
] | Current State: 54:[88, 3, 76, 26], Operations: []
Exploring Operation: 76+26=102, Resulting Numbers: [88, 3, 102]
Generated Node #2: [88, 3, 102] from Operation: 76+26=102
Current State: 54:[88, 3, 102], Operations: ['76+26=102']
Exploring Operation: 102/3=34, Resulting Numbers: [88, 34]
Generated Node #3: [88, 34] from Operation: 102/3=34
Current State: 54:[88, 34], Operations: ['76+26=102', '102/3=34']
Exploring Operation: 88-34=54, Resulting Numbers: [54]
54,54 equal: Goal Reached
| 4 |
[
51,
38,
12,
25
] | 78 | [
"51*38=1938",
"12+1938=1950",
"1950/25=78"
] | Current State: 78:[51, 38, 12, 25], Operations: []
Exploring Operation: 51*38=1938, Resulting Numbers: [12, 25, 1938]
Generated Node #2: [12, 25, 1938] from Operation: 51*38=1938
Current State: 78:[12, 25, 1938], Operations: ['51*38=1938']
Exploring Operation: 12+1938=1950, Resulting Numbers: [25, 1950]
Generated Node #3: [25, 1950] from Operation: 12+1938=1950
Current State: 78:[25, 1950], Operations: ['51*38=1938', '12+1938=1950']
Exploring Operation: 1950/25=78, Resulting Numbers: [78]
78,78 equal: Goal Reached
| 4 |
[
26,
16,
19,
40
] | 23 | [
"26-16=10",
"40/10=4",
"19+4=23"
] | Current State: 23:[26, 16, 19, 40], Operations: []
Exploring Operation: 26-16=10, Resulting Numbers: [19, 40, 10]
Generated Node #2: [19, 40, 10] from Operation: 26-16=10
Current State: 23:[19, 40, 10], Operations: ['26-16=10']
Exploring Operation: 40/10=4, Resulting Numbers: [19, 4]
Generated Node #3: [19, 4] from Operation: 40/10=4
Current State: 23:[19, 4], Operations: ['26-16=10', '40/10=4']
Exploring Operation: 19+4=23, Resulting Numbers: [23]
23,23 equal: Goal Reached
| 4 |
[
61,
15,
81,
54
] | 24 | [
"61-54=7",
"15*7=105",
"105-81=24"
] | Current State: 24:[61, 15, 81, 54], Operations: []
Exploring Operation: 61-54=7, Resulting Numbers: [15, 81, 7]
Generated Node #2: [15, 81, 7] from Operation: 61-54=7
Current State: 24:[15, 81, 7], Operations: ['61-54=7']
Exploring Operation: 15*7=105, Resulting Numbers: [81, 105]
Generated Node #3: [81, 105] from Operation: 15*7=105
Current State: 24:[81, 105], Operations: ['61-54=7', '15*7=105']
Exploring Operation: 105-81=24, Resulting Numbers: [24]
24,24 equal: Goal Reached
| 4 |
[
61,
57,
7,
60
] | 64 | [
"61-60=1",
"57+7=64",
"1*64=64"
] | Current State: 64:[61, 57, 7, 60], Operations: []
Exploring Operation: 61-60=1, Resulting Numbers: [57, 7, 1]
Generated Node #2: [57, 7, 1] from Operation: 61-60=1
Current State: 64:[57, 7, 1], Operations: ['61-60=1']
Exploring Operation: 57+7=64, Resulting Numbers: [1, 64]
Generated Node #3: [1, 64] from Operation: 57+7=64
Current State: 64:[1, 64], Operations: ['61-60=1', '57+7=64']
Exploring Operation: 1*64=64, Resulting Numbers: [64]
64,64 equal: Goal Reached
| 4 |
[
24,
2,
26,
65
] | 40 | [
"24+26=50",
"50/2=25",
"65-25=40"
] | Current State: 40:[24, 2, 26, 65], Operations: []
Exploring Operation: 24+26=50, Resulting Numbers: [2, 65, 50]
Generated Node #2: [2, 65, 50] from Operation: 24+26=50
Current State: 40:[2, 65, 50], Operations: ['24+26=50']
Exploring Operation: 50/2=25, Resulting Numbers: [65, 25]
Generated Node #3: [65, 25] from Operation: 50/2=25
Current State: 40:[65, 25], Operations: ['24+26=50', '50/2=25']
Exploring Operation: 65-25=40, Resulting Numbers: [40]
40,40 equal: Goal Reached
| 4 |
[
91,
5,
91,
96
] | 90 | [
"91+5=96",
"96/96=1",
"91-1=90"
] | Current State: 90:[91, 5, 91, 96], Operations: []
Exploring Operation: 91+5=96, Resulting Numbers: [96, 96]
Generated Node #2: [96, 96] from Operation: 91+5=96
Current State: 90:[96, 96], Operations: ['91+5=96']
Exploring Operation: 96/96=1, Resulting Numbers: [1]
1,90 equal: Goal Reached
Exploring Operation: 91-1=90, Resulting Numbers: [90]
90,90 equal: Goal Reached
| 4 |
[
51,
55,
2,
7
] | 27 | [
"55-7=48",
"48/2=24",
"51-24=27"
] | Current State: 27:[51, 55, 2, 7], Operations: []
Exploring Operation: 55-7=48, Resulting Numbers: [51, 2, 48]
Generated Node #2: [51, 2, 48] from Operation: 55-7=48
Current State: 27:[51, 2, 48], Operations: ['55-7=48']
Exploring Operation: 48/2=24, Resulting Numbers: [51, 24]
Generated Node #3: [51, 24] from Operation: 48/2=24
Current State: 27:[51, 24], Operations: ['55-7=48', '48/2=24']
Exploring Operation: 51-24=27, Resulting Numbers: [27]
27,27 equal: Goal Reached
| 4 |
[
92,
79,
7,
4
] | 63 | [
"92-79=13",
"13-4=9",
"7*9=63"
] | Current State: 63:[92, 79, 7, 4], Operations: []
Exploring Operation: 92-79=13, Resulting Numbers: [7, 4, 13]
Generated Node #2: [7, 4, 13] from Operation: 92-79=13
Current State: 63:[7, 4, 13], Operations: ['92-79=13']
Exploring Operation: 13-4=9, Resulting Numbers: [7, 9]
Generated Node #3: [7, 9] from Operation: 13-4=9
Current State: 63:[7, 9], Operations: ['92-79=13', '13-4=9']
Exploring Operation: 7*9=63, Resulting Numbers: [63]
63,63 equal: Goal Reached
| 4 |
[
15,
65,
5,
85
] | 89 | [
"65-5=60",
"60/15=4",
"85+4=89"
] | Current State: 89:[15, 65, 5, 85], Operations: []
Exploring Operation: 65-5=60, Resulting Numbers: [15, 85, 60]
Generated Node #2: [15, 85, 60] from Operation: 65-5=60
Current State: 89:[15, 85, 60], Operations: ['65-5=60']
Exploring Operation: 60/15=4, Resulting Numbers: [85, 4]
Generated Node #3: [85, 4] from Operation: 60/15=4
Current State: 89:[85, 4], Operations: ['65-5=60', '60/15=4']
Exploring Operation: 85+4=89, Resulting Numbers: [89]
89,89 equal: Goal Reached
| 4 |
[
35,
1,
42,
44
] | 18 | [
"35+1=36",
"44-42=2",
"36/2=18"
] | Current State: 18:[35, 1, 42, 44], Operations: []
Exploring Operation: 35+1=36, Resulting Numbers: [42, 44, 36]
Generated Node #2: [42, 44, 36] from Operation: 35+1=36
Current State: 18:[42, 44, 36], Operations: ['35+1=36']
Exploring Operation: 44-42=2, Resulting Numbers: [36, 2]
Generated Node #3: [36, 2] from Operation: 44-42=2
Current State: 18:[36, 2], Operations: ['35+1=36', '44-42=2']
Exploring Operation: 36/2=18, Resulting Numbers: [18]
18,18 equal: Goal Reached
| 4 |
[
21,
9,
96,
31
] | 36 | [
"9+96=105",
"105/21=5",
"31+5=36"
] | Current State: 36:[21, 9, 96, 31], Operations: []
Exploring Operation: 9+96=105, Resulting Numbers: [21, 31, 105]
Generated Node #2: [21, 31, 105] from Operation: 9+96=105
Current State: 36:[21, 31, 105], Operations: ['9+96=105']
Exploring Operation: 105/21=5, Resulting Numbers: [31, 5]
Generated Node #3: [31, 5] from Operation: 105/21=5
Current State: 36:[31, 5], Operations: ['9+96=105', '105/21=5']
Exploring Operation: 31+5=36, Resulting Numbers: [36]
36,36 equal: Goal Reached
| 4 |
[
39,
40,
98,
32
] | 26 | [
"39-32=7",
"98/7=14",
"40-14=26"
] | Current State: 26:[39, 40, 98, 32], Operations: []
Exploring Operation: 39-32=7, Resulting Numbers: [40, 98, 7]
Generated Node #2: [40, 98, 7] from Operation: 39-32=7
Current State: 26:[40, 98, 7], Operations: ['39-32=7']
Exploring Operation: 98/7=14, Resulting Numbers: [40, 14]
Generated Node #3: [40, 14] from Operation: 98/7=14
Current State: 26:[40, 14], Operations: ['39-32=7', '98/7=14']
Exploring Operation: 40-14=26, Resulting Numbers: [26]
26,26 equal: Goal Reached
| 4 |
[
86,
15,
2,
81
] | 40 | [
"86+15=101",
"101-81=20",
"2*20=40"
] | Current State: 40:[86, 15, 2, 81], Operations: []
Exploring Operation: 86+15=101, Resulting Numbers: [2, 81, 101]
Generated Node #2: [2, 81, 101] from Operation: 86+15=101
Current State: 40:[2, 81, 101], Operations: ['86+15=101']
Exploring Operation: 101-81=20, Resulting Numbers: [2, 20]
Generated Node #3: [2, 20] from Operation: 101-81=20
Current State: 40:[2, 20], Operations: ['86+15=101', '101-81=20']
Exploring Operation: 2*20=40, Resulting Numbers: [40]
40,40 equal: Goal Reached
| 4 |
[
79,
74,
85,
42
] | 25 | [
"79-74=5",
"85/5=17",
"42-17=25"
] | Current State: 25:[79, 74, 85, 42], Operations: []
Exploring Operation: 79-74=5, Resulting Numbers: [85, 42, 5]
Generated Node #2: [85, 42, 5] from Operation: 79-74=5
Current State: 25:[85, 42, 5], Operations: ['79-74=5']
Exploring Operation: 85/5=17, Resulting Numbers: [42, 17]
Generated Node #3: [42, 17] from Operation: 85/5=17
Current State: 25:[42, 17], Operations: ['79-74=5', '85/5=17']
Exploring Operation: 42-17=25, Resulting Numbers: [25]
25,25 equal: Goal Reached
| 4 |
[
12,
74,
44,
85
] | 45 | [
"12+74=86",
"85-44=41",
"86-41=45"
] | Current State: 45:[12, 74, 44, 85], Operations: []
Exploring Operation: 12+74=86, Resulting Numbers: [44, 85, 86]
Generated Node #2: [44, 85, 86] from Operation: 12+74=86
Current State: 45:[44, 85, 86], Operations: ['12+74=86']
Exploring Operation: 85-44=41, Resulting Numbers: [86, 41]
Generated Node #3: [86, 41] from Operation: 85-44=41
Current State: 45:[86, 41], Operations: ['12+74=86', '85-44=41']
Exploring Operation: 86-41=45, Resulting Numbers: [45]
45,45 equal: Goal Reached
| 4 |
[
38,
31,
19,
14
] | 15 | [
"38/19=2",
"31-14=17",
"17-2=15"
] | Current State: 15:[38, 31, 19, 14], Operations: []
Exploring Operation: 38/19=2, Resulting Numbers: [31, 14, 2]
Generated Node #2: [31, 14, 2] from Operation: 38/19=2
Current State: 15:[31, 14, 2], Operations: ['38/19=2']
Exploring Operation: 31-14=17, Resulting Numbers: [2, 17]
Generated Node #3: [2, 17] from Operation: 31-14=17
Current State: 15:[2, 17], Operations: ['38/19=2', '31-14=17']
Exploring Operation: 17-2=15, Resulting Numbers: [15]
15,15 equal: Goal Reached
| 4 |
[
62,
61,
76,
6
] | 70 | [
"62-61=1",
"76-6=70",
"1*70=70"
] | Current State: 70:[62, 61, 76, 6], Operations: []
Exploring Operation: 62-61=1, Resulting Numbers: [76, 6, 1]
Generated Node #2: [76, 6, 1] from Operation: 62-61=1
Current State: 70:[76, 6, 1], Operations: ['62-61=1']
Exploring Operation: 76-6=70, Resulting Numbers: [1, 70]
Generated Node #3: [1, 70] from Operation: 76-6=70
Current State: 70:[1, 70], Operations: ['62-61=1', '76-6=70']
Exploring Operation: 1*70=70, Resulting Numbers: [70]
70,70 equal: Goal Reached
| 4 |
[
77,
72,
98,
18
] | 33 | [
"77+72=149",
"98+18=116",
"149-116=33"
] | Current State: 33:[77, 72, 98, 18], Operations: []
Exploring Operation: 77+72=149, Resulting Numbers: [98, 18, 149]
Generated Node #2: [98, 18, 149] from Operation: 77+72=149
Current State: 33:[98, 18, 149], Operations: ['77+72=149']
Exploring Operation: 98+18=116, Resulting Numbers: [149, 116]
Generated Node #3: [149, 116] from Operation: 98+18=116
Current State: 33:[149, 116], Operations: ['77+72=149', '98+18=116']
Exploring Operation: 149-116=33, Resulting Numbers: [33]
33,33 equal: Goal Reached
| 4 |
[
53,
78,
45,
57
] | 77 | [
"78-53=25",
"45+57=102",
"102-25=77"
] | Current State: 77:[53, 78, 45, 57], Operations: []
Exploring Operation: 78-53=25, Resulting Numbers: [45, 57, 25]
Generated Node #2: [45, 57, 25] from Operation: 78-53=25
Current State: 77:[45, 57, 25], Operations: ['78-53=25']
Exploring Operation: 45+57=102, Resulting Numbers: [25, 102]
Generated Node #3: [25, 102] from Operation: 45+57=102
Current State: 77:[25, 102], Operations: ['78-53=25', '45+57=102']
Exploring Operation: 102-25=77, Resulting Numbers: [77]
77,77 equal: Goal Reached
| 4 |
[
2,
53,
46,
35
] | 49 | [
"53-46=7",
"2*7=14",
"35+14=49"
] | Current State: 49:[2, 53, 46, 35], Operations: []
Exploring Operation: 53-46=7, Resulting Numbers: [2, 35, 7]
Generated Node #2: [2, 35, 7] from Operation: 53-46=7
Current State: 49:[2, 35, 7], Operations: ['53-46=7']
Exploring Operation: 2*7=14, Resulting Numbers: [35, 14]
Generated Node #3: [35, 14] from Operation: 2*7=14
Current State: 49:[35, 14], Operations: ['53-46=7', '2*7=14']
Exploring Operation: 35+14=49, Resulting Numbers: [49]
49,49 equal: Goal Reached
| 4 |
[
39,
78,
87,
95
] | 65 | [
"39+78=117",
"87+95=182",
"182-117=65"
] | Current State: 65:[39, 78, 87, 95], Operations: []
Exploring Operation: 39+78=117, Resulting Numbers: [87, 95, 117]
Generated Node #2: [87, 95, 117] from Operation: 39+78=117
Current State: 65:[87, 95, 117], Operations: ['39+78=117']
Exploring Operation: 87+95=182, Resulting Numbers: [117, 182]
Generated Node #3: [117, 182] from Operation: 87+95=182
Current State: 65:[117, 182], Operations: ['39+78=117', '87+95=182']
Exploring Operation: 182-117=65, Resulting Numbers: [65]
65,65 equal: Goal Reached
| 4 |
[
65,
75,
78,
77
] | 13 | [
"75*78=5850",
"5850/65=90",
"90-77=13"
] | Current State: 13:[65, 75, 78, 77], Operations: []
Exploring Operation: 75*78=5850, Resulting Numbers: [65, 77, 5850]
Generated Node #2: [65, 77, 5850] from Operation: 75*78=5850
Current State: 13:[65, 77, 5850], Operations: ['75*78=5850']
Exploring Operation: 5850/65=90, Resulting Numbers: [77, 90]
Generated Node #3: [77, 90] from Operation: 5850/65=90
Current State: 13:[77, 90], Operations: ['75*78=5850', '5850/65=90']
Exploring Operation: 90-77=13, Resulting Numbers: [13]
13,13 equal: Goal Reached
| 4 |
[
68,
81,
33,
99
] | 95 | [
"81*33=2673",
"2673/99=27",
"68+27=95"
] | Current State: 95:[68, 81, 33, 99], Operations: []
Exploring Operation: 81*33=2673, Resulting Numbers: [68, 99, 2673]
Generated Node #2: [68, 99, 2673] from Operation: 81*33=2673
Current State: 95:[68, 99, 2673], Operations: ['81*33=2673']
Exploring Operation: 2673/99=27, Resulting Numbers: [68, 27]
Generated Node #3: [68, 27] from Operation: 2673/99=27
Current State: 95:[68, 27], Operations: ['81*33=2673', '2673/99=27']
Exploring Operation: 68+27=95, Resulting Numbers: [95]
95,95 equal: Goal Reached
| 4 |
[
8,
13,
2,
51
] | 99 | [
"51-8=43",
"2*43=86",
"13+86=99"
] | Current State: 99:[8, 13, 2, 51], Operations: []
Exploring Operation: 51-8=43, Resulting Numbers: [13, 2, 43]
Generated Node #2: [13, 2, 43] from Operation: 51-8=43
Current State: 99:[13, 2, 43], Operations: ['51-8=43']
Exploring Operation: 2*43=86, Resulting Numbers: [13, 86]
Generated Node #3: [13, 86] from Operation: 2*43=86
Current State: 99:[13, 86], Operations: ['51-8=43', '2*43=86']
Exploring Operation: 13+86=99, Resulting Numbers: [99]
99,99 equal: Goal Reached
| 4 |
[
75,
58,
13,
5
] | 86 | [
"75/5=15",
"58+13=71",
"15+71=86"
] | Current State: 86:[75, 58, 13, 5], Operations: []
Exploring Operation: 75/5=15, Resulting Numbers: [58, 13, 15]
Generated Node #2: [58, 13, 15] from Operation: 75/5=15
Current State: 86:[58, 13, 15], Operations: ['75/5=15']
Exploring Operation: 58+13=71, Resulting Numbers: [15, 71]
Generated Node #3: [15, 71] from Operation: 58+13=71
Current State: 86:[15, 71], Operations: ['75/5=15', '58+13=71']
Exploring Operation: 15+71=86, Resulting Numbers: [86]
86,86 equal: Goal Reached
| 4 |
[
3,
96,
70,
31
] | 47 | [
"96-70=26",
"3*26=78",
"78-31=47"
] | Current State: 47:[3, 96, 70, 31], Operations: []
Exploring Operation: 96-70=26, Resulting Numbers: [3, 31, 26]
Generated Node #2: [3, 31, 26] from Operation: 96-70=26
Current State: 47:[3, 31, 26], Operations: ['96-70=26']
Exploring Operation: 3*26=78, Resulting Numbers: [31, 78]
Generated Node #3: [31, 78] from Operation: 3*26=78
Current State: 47:[31, 78], Operations: ['96-70=26', '3*26=78']
Exploring Operation: 78-31=47, Resulting Numbers: [47]
47,47 equal: Goal Reached
| 4 |
[
41,
82,
82,
22
] | 44 | [
"82-41=41",
"82*22=1804",
"1804/41=44"
] | Current State: 44:[41, 82, 82, 22], Operations: []
Exploring Operation: 82-41=41, Resulting Numbers: [22, 41]
Generated Node #2: [22, 41] from Operation: 82-41=41
Current State: 44:[22, 41], Operations: ['82-41=41']
Exploring Operation: 82*22=1804, Resulting Numbers: [41, 1804]
Generated Node #3: [41, 1804] from Operation: 82*22=1804
Current State: 44:[41, 1804], Operations: ['82-41=41', '82*22=1804']
Exploring Operation: 1804/41=44, Resulting Numbers: [44]
44,44 equal: Goal Reached
| 4 |
[
79,
60,
15,
56
] | 60 | [
"79-60=19",
"56-15=41",
"19+41=60"
] | Current State: 60:[79, 60, 15, 56], Operations: []
Exploring Operation: 79-60=19, Resulting Numbers: [15, 56, 19]
Generated Node #2: [15, 56, 19] from Operation: 79-60=19
Current State: 60:[15, 56, 19], Operations: ['79-60=19']
Exploring Operation: 56-15=41, Resulting Numbers: [19, 41]
Generated Node #3: [19, 41] from Operation: 56-15=41
Current State: 60:[19, 41], Operations: ['79-60=19', '56-15=41']
Exploring Operation: 19+41=60, Resulting Numbers: [60]
60,60 equal: Goal Reached
| 4 |
[
40,
95,
7,
58
] | 81 | [
"40+58=98",
"98/7=14",
"95-14=81"
] | Current State: 81:[40, 95, 7, 58], Operations: []
Exploring Operation: 40+58=98, Resulting Numbers: [95, 7, 98]
Generated Node #2: [95, 7, 98] from Operation: 40+58=98
Current State: 81:[95, 7, 98], Operations: ['40+58=98']
Exploring Operation: 98/7=14, Resulting Numbers: [95, 14]
Generated Node #3: [95, 14] from Operation: 98/7=14
Current State: 81:[95, 14], Operations: ['40+58=98', '98/7=14']
Exploring Operation: 95-14=81, Resulting Numbers: [81]
81,81 equal: Goal Reached
| 4 |
[
64,
5,
1,
67
] | 18 | [
"67-64=3",
"5+1=6",
"3*6=18"
] | Current State: 18:[64, 5, 1, 67], Operations: []
Exploring Operation: 67-64=3, Resulting Numbers: [5, 1, 3]
Generated Node #2: [5, 1, 3] from Operation: 67-64=3
Current State: 18:[5, 1, 3], Operations: ['67-64=3']
Exploring Operation: 5+1=6, Resulting Numbers: [3, 6]
Generated Node #3: [3, 6] from Operation: 5+1=6
Current State: 18:[3, 6], Operations: ['67-64=3', '5+1=6']
Exploring Operation: 3*6=18, Resulting Numbers: [18]
18,18 equal: Goal Reached
| 4 |
[
60,
50,
40,
27
] | 97 | [
"60+50=110",
"40-27=13",
"110-13=97"
] | Current State: 97:[60, 50, 40, 27], Operations: []
Exploring Operation: 60+50=110, Resulting Numbers: [40, 27, 110]
Generated Node #2: [40, 27, 110] from Operation: 60+50=110
Current State: 97:[40, 27, 110], Operations: ['60+50=110']
Exploring Operation: 40-27=13, Resulting Numbers: [110, 13]
Generated Node #3: [110, 13] from Operation: 40-27=13
Current State: 97:[110, 13], Operations: ['60+50=110', '40-27=13']
Exploring Operation: 110-13=97, Resulting Numbers: [97]
97,97 equal: Goal Reached
| 4 |
[
18,
71,
52,
67
] | 38 | [
"71-18=53",
"67-52=15",
"53-15=38"
] | Current State: 38:[18, 71, 52, 67], Operations: []
Exploring Operation: 71-18=53, Resulting Numbers: [52, 67, 53]
Generated Node #2: [52, 67, 53] from Operation: 71-18=53
Current State: 38:[52, 67, 53], Operations: ['71-18=53']
Exploring Operation: 67-52=15, Resulting Numbers: [53, 15]
Generated Node #3: [53, 15] from Operation: 67-52=15
Current State: 38:[53, 15], Operations: ['71-18=53', '67-52=15']
Exploring Operation: 53-15=38, Resulting Numbers: [38]
38,38 equal: Goal Reached
| 4 |
[
52,
1,
58,
95
] | 90 | [
"52+1=53",
"95-58=37",
"53+37=90"
] | Current State: 90:[52, 1, 58, 95], Operations: []
Exploring Operation: 52+1=53, Resulting Numbers: [58, 95, 53]
Generated Node #2: [58, 95, 53] from Operation: 52+1=53
Current State: 90:[58, 95, 53], Operations: ['52+1=53']
Exploring Operation: 95-58=37, Resulting Numbers: [53, 37]
Generated Node #3: [53, 37] from Operation: 95-58=37
Current State: 90:[53, 37], Operations: ['52+1=53', '95-58=37']
Exploring Operation: 53+37=90, Resulting Numbers: [90]
90,90 equal: Goal Reached
| 4 |
[
11,
54,
53,
2
] | 47 | [
"11-2=9",
"54/9=6",
"53-6=47"
] | Current State: 47:[11, 54, 53, 2], Operations: []
Exploring Operation: 11-2=9, Resulting Numbers: [54, 53, 9]
Generated Node #2: [54, 53, 9] from Operation: 11-2=9
Current State: 47:[54, 53, 9], Operations: ['11-2=9']
Exploring Operation: 54/9=6, Resulting Numbers: [53, 6]
Generated Node #3: [53, 6] from Operation: 54/9=6
Current State: 47:[53, 6], Operations: ['11-2=9', '54/9=6']
Exploring Operation: 53-6=47, Resulting Numbers: [47]
47,47 equal: Goal Reached
| 4 |
[
16,
39,
44,
36
] | 44 | [
"44-39=5",
"16*5=80",
"80-36=44"
] | Current State: 44:[16, 39, 44, 36], Operations: []
Exploring Operation: 44-39=5, Resulting Numbers: [16, 36, 5]
Generated Node #2: [16, 36, 5] from Operation: 44-39=5
Current State: 44:[16, 36, 5], Operations: ['44-39=5']
Exploring Operation: 16*5=80, Resulting Numbers: [36, 80]
Generated Node #3: [36, 80] from Operation: 16*5=80
Current State: 44:[36, 80], Operations: ['44-39=5', '16*5=80']
Exploring Operation: 80-36=44, Resulting Numbers: [44]
44,44 equal: Goal Reached
| 4 |
[
1,
53,
3,
86
] | 37 | [
"53-1=52",
"3+86=89",
"89-52=37"
] | Current State: 37:[1, 53, 3, 86], Operations: []
Exploring Operation: 53-1=52, Resulting Numbers: [3, 86, 52]
Generated Node #2: [3, 86, 52] from Operation: 53-1=52
Current State: 37:[3, 86, 52], Operations: ['53-1=52']
Exploring Operation: 3+86=89, Resulting Numbers: [52, 89]
Generated Node #3: [52, 89] from Operation: 3+86=89
Current State: 37:[52, 89], Operations: ['53-1=52', '3+86=89']
Exploring Operation: 89-52=37, Resulting Numbers: [37]
37,37 equal: Goal Reached
| 4 |
[
77,
54,
4,
18
] | 70 | [
"77-4=73",
"54/18=3",
"73-3=70"
] | Current State: 70:[77, 54, 4, 18], Operations: []
Exploring Operation: 77-4=73, Resulting Numbers: [54, 18, 73]
Generated Node #2: [54, 18, 73] from Operation: 77-4=73
Current State: 70:[54, 18, 73], Operations: ['77-4=73']
Exploring Operation: 54/18=3, Resulting Numbers: [73, 3]
Generated Node #3: [73, 3] from Operation: 54/18=3
Current State: 70:[73, 3], Operations: ['77-4=73', '54/18=3']
Exploring Operation: 73-3=70, Resulting Numbers: [70]
70,70 equal: Goal Reached
| 4 |
[
41,
1,
60,
46
] | 66 | [
"41-1=40",
"60+46=106",
"106-40=66"
] | Current State: 66:[41, 1, 60, 46], Operations: []
Exploring Operation: 41-1=40, Resulting Numbers: [60, 46, 40]
Generated Node #2: [60, 46, 40] from Operation: 41-1=40
Current State: 66:[60, 46, 40], Operations: ['41-1=40']
Exploring Operation: 60+46=106, Resulting Numbers: [40, 106]
Generated Node #3: [40, 106] from Operation: 60+46=106
Current State: 66:[40, 106], Operations: ['41-1=40', '60+46=106']
Exploring Operation: 106-40=66, Resulting Numbers: [66]
66,66 equal: Goal Reached
| 4 |
[
74,
26,
3,
90
] | 62 | [
"90-74=16",
"26*3=78",
"78-16=62"
] | Current State: 62:[74, 26, 3, 90], Operations: []
Exploring Operation: 90-74=16, Resulting Numbers: [26, 3, 16]
Generated Node #2: [26, 3, 16] from Operation: 90-74=16
Current State: 62:[26, 3, 16], Operations: ['90-74=16']
Exploring Operation: 26*3=78, Resulting Numbers: [16, 78]
Generated Node #3: [16, 78] from Operation: 26*3=78
Current State: 62:[16, 78], Operations: ['90-74=16', '26*3=78']
Exploring Operation: 78-16=62, Resulting Numbers: [62]
62,62 equal: Goal Reached
| 4 |
[
76,
62,
65,
10
] | 69 | [
"76-62=14",
"65-10=55",
"14+55=69"
] | Current State: 69:[76, 62, 65, 10], Operations: []
Exploring Operation: 76-62=14, Resulting Numbers: [65, 10, 14]
Generated Node #2: [65, 10, 14] from Operation: 76-62=14
Current State: 69:[65, 10, 14], Operations: ['76-62=14']
Exploring Operation: 65-10=55, Resulting Numbers: [14, 55]
Generated Node #3: [14, 55] from Operation: 65-10=55
Current State: 69:[14, 55], Operations: ['76-62=14', '65-10=55']
Exploring Operation: 14+55=69, Resulting Numbers: [69]
69,69 equal: Goal Reached
| 4 |
[
64,
43,
75,
40
] | 14 | [
"64-43=21",
"75-40=35",
"35-21=14"
] | Current State: 14:[64, 43, 75, 40], Operations: []
Exploring Operation: 64-43=21, Resulting Numbers: [75, 40, 21]
Generated Node #2: [75, 40, 21] from Operation: 64-43=21
Current State: 14:[75, 40, 21], Operations: ['64-43=21']
Exploring Operation: 75-40=35, Resulting Numbers: [21, 35]
Generated Node #3: [21, 35] from Operation: 75-40=35
Current State: 14:[21, 35], Operations: ['64-43=21', '75-40=35']
Exploring Operation: 35-21=14, Resulting Numbers: [14]
14,14 equal: Goal Reached
| 4 |
[
7,
47,
91,
57
] | 74 | [
"47-7=40",
"91-57=34",
"40+34=74"
] | Current State: 74:[7, 47, 91, 57], Operations: []
Exploring Operation: 47-7=40, Resulting Numbers: [91, 57, 40]
Generated Node #2: [91, 57, 40] from Operation: 47-7=40
Current State: 74:[91, 57, 40], Operations: ['47-7=40']
Exploring Operation: 91-57=34, Resulting Numbers: [40, 34]
Generated Node #3: [40, 34] from Operation: 91-57=34
Current State: 74:[40, 34], Operations: ['47-7=40', '91-57=34']
Exploring Operation: 40+34=74, Resulting Numbers: [74]
74,74 equal: Goal Reached
| 4 |
[
41,
93,
53,
39
] | 73 | [
"41-39=2",
"93+53=146",
"146/2=73"
] | Current State: 73:[41, 93, 53, 39], Operations: []
Exploring Operation: 41-39=2, Resulting Numbers: [93, 53, 2]
Generated Node #2: [93, 53, 2] from Operation: 41-39=2
Current State: 73:[93, 53, 2], Operations: ['41-39=2']
Exploring Operation: 93+53=146, Resulting Numbers: [2, 146]
Generated Node #3: [2, 146] from Operation: 93+53=146
Current State: 73:[2, 146], Operations: ['41-39=2', '93+53=146']
Exploring Operation: 146/2=73, Resulting Numbers: [73]
73,73 equal: Goal Reached
| 4 |
[
37,
34,
54,
76
] | 78 | [
"54-37=17",
"34/17=2",
"76+2=78"
] | Current State: 78:[37, 34, 54, 76], Operations: []
Exploring Operation: 54-37=17, Resulting Numbers: [34, 76, 17]
Generated Node #2: [34, 76, 17] from Operation: 54-37=17
Current State: 78:[34, 76, 17], Operations: ['54-37=17']
Exploring Operation: 34/17=2, Resulting Numbers: [76, 2]
Generated Node #3: [76, 2] from Operation: 34/17=2
Current State: 78:[76, 2], Operations: ['54-37=17', '34/17=2']
Exploring Operation: 76+2=78, Resulting Numbers: [78]
78,78 equal: Goal Reached
| 4 |
[
91,
41,
17,
8
] | 25 | [
"91-41=50",
"17+8=25",
"50-25=25"
] | Current State: 25:[91, 41, 17, 8], Operations: []
Exploring Operation: 91-41=50, Resulting Numbers: [17, 8, 50]
Generated Node #2: [17, 8, 50] from Operation: 91-41=50
Current State: 25:[17, 8, 50], Operations: ['91-41=50']
Exploring Operation: 17+8=25, Resulting Numbers: [50, 25]
Generated Node #3: [50, 25] from Operation: 17+8=25
Current State: 25:[50, 25], Operations: ['91-41=50', '17+8=25']
Exploring Operation: 50-25=25, Resulting Numbers: [25]
25,25 equal: Goal Reached
| 4 |
[
48,
74,
20,
34
] | 50 | [
"74-34=40",
"40/20=2",
"48+2=50"
] | Current State: 50:[48, 74, 20, 34], Operations: []
Exploring Operation: 74-34=40, Resulting Numbers: [48, 20, 40]
Generated Node #2: [48, 20, 40] from Operation: 74-34=40
Current State: 50:[48, 20, 40], Operations: ['74-34=40']
Exploring Operation: 40/20=2, Resulting Numbers: [48, 2]
Generated Node #3: [48, 2] from Operation: 40/20=2
Current State: 50:[48, 2], Operations: ['74-34=40', '40/20=2']
Exploring Operation: 48+2=50, Resulting Numbers: [50]
50,50 equal: Goal Reached
| 4 |
[
58,
93,
80,
77
] | 81 | [
"80-77=3",
"58*3=174",
"174-93=81"
] | Current State: 81:[58, 93, 80, 77], Operations: []
Exploring Operation: 80-77=3, Resulting Numbers: [58, 93, 3]
Generated Node #2: [58, 93, 3] from Operation: 80-77=3
Current State: 81:[58, 93, 3], Operations: ['80-77=3']
Exploring Operation: 58*3=174, Resulting Numbers: [93, 174]
Generated Node #3: [93, 174] from Operation: 58*3=174
Current State: 81:[93, 174], Operations: ['80-77=3', '58*3=174']
Exploring Operation: 174-93=81, Resulting Numbers: [81]
81,81 equal: Goal Reached
| 4 |
[
26,
24,
5,
3
] | 22 | [
"5-3=2",
"24*2=48",
"48-26=22"
] | Current State: 22:[26, 24, 5, 3], Operations: []
Exploring Operation: 5-3=2, Resulting Numbers: [26, 24, 2]
Generated Node #2: [26, 24, 2] from Operation: 5-3=2
Current State: 22:[26, 24, 2], Operations: ['5-3=2']
Exploring Operation: 24*2=48, Resulting Numbers: [26, 48]
Generated Node #3: [26, 48] from Operation: 24*2=48
Current State: 22:[26, 48], Operations: ['5-3=2', '24*2=48']
Exploring Operation: 48-26=22, Resulting Numbers: [22]
22,22 equal: Goal Reached
| 4 |
[
21,
71,
3,
87
] | 67 | [
"87-3=84",
"84/21=4",
"71-4=67"
] | Current State: 67:[21, 71, 3, 87], Operations: []
Exploring Operation: 87-3=84, Resulting Numbers: [21, 71, 84]
Generated Node #2: [21, 71, 84] from Operation: 87-3=84
Current State: 67:[21, 71, 84], Operations: ['87-3=84']
Exploring Operation: 84/21=4, Resulting Numbers: [71, 4]
Generated Node #3: [71, 4] from Operation: 84/21=4
Current State: 67:[71, 4], Operations: ['87-3=84', '84/21=4']
Exploring Operation: 71-4=67, Resulting Numbers: [67]
67,67 equal: Goal Reached
| 4 |
[
98,
97,
7,
91
] | 84 | [
"98-97=1",
"91-7=84",
"1*84=84"
] | Current State: 84:[98, 97, 7, 91], Operations: []
Exploring Operation: 98-97=1, Resulting Numbers: [7, 91, 1]
Generated Node #2: [7, 91, 1] from Operation: 98-97=1
Current State: 84:[7, 91, 1], Operations: ['98-97=1']
Exploring Operation: 91-7=84, Resulting Numbers: [1, 84]
Generated Node #3: [1, 84] from Operation: 91-7=84
Current State: 84:[1, 84], Operations: ['98-97=1', '91-7=84']
Exploring Operation: 1*84=84, Resulting Numbers: [84]
84,84 equal: Goal Reached
| 4 |
[
64,
10,
45,
26
] | 53 | [
"45*26=1170",
"1170/10=117",
"117-64=53"
] | Current State: 53:[64, 10, 45, 26], Operations: []
Exploring Operation: 45*26=1170, Resulting Numbers: [64, 10, 1170]
Generated Node #2: [64, 10, 1170] from Operation: 45*26=1170
Current State: 53:[64, 10, 1170], Operations: ['45*26=1170']
Exploring Operation: 1170/10=117, Resulting Numbers: [64, 117]
Generated Node #3: [64, 117] from Operation: 1170/10=117
Current State: 53:[64, 117], Operations: ['45*26=1170', '1170/10=117']
Exploring Operation: 117-64=53, Resulting Numbers: [53]
53,53 equal: Goal Reached
| 4 |
[
47,
58,
94,
87
] | 31 | [
"94/47=2",
"87-58=29",
"2+29=31"
] | Current State: 31:[47, 58, 94, 87], Operations: []
Exploring Operation: 94/47=2, Resulting Numbers: [58, 87, 2]
Generated Node #2: [58, 87, 2] from Operation: 94/47=2
Current State: 31:[58, 87, 2], Operations: ['94/47=2']
Exploring Operation: 87-58=29, Resulting Numbers: [2, 29]
Generated Node #3: [2, 29] from Operation: 87-58=29
Current State: 31:[2, 29], Operations: ['94/47=2', '87-58=29']
Exploring Operation: 2+29=31, Resulting Numbers: [31]
31,31 equal: Goal Reached
| 4 |
[
62,
20,
67,
86
] | 62 | [
"20+67=87",
"87-86=1",
"62*1=62"
] | Current State: 62:[62, 20, 67, 86], Operations: []
Exploring Operation: 20+67=87, Resulting Numbers: [62, 86, 87]
Generated Node #2: [62, 86, 87] from Operation: 20+67=87
Current State: 62:[62, 86, 87], Operations: ['20+67=87']
Exploring Operation: 87-86=1, Resulting Numbers: [62, 1]
Generated Node #3: [62, 1] from Operation: 87-86=1
Current State: 62:[62, 1], Operations: ['20+67=87', '87-86=1']
Exploring Operation: 62*1=62, Resulting Numbers: [62]
62,62 equal: Goal Reached
| 4 |
[
20,
69,
96,
4
] | 25 | [
"69-20=49",
"96/4=24",
"49-24=25"
] | Current State: 25:[20, 69, 96, 4], Operations: []
Exploring Operation: 69-20=49, Resulting Numbers: [96, 4, 49]
Generated Node #2: [96, 4, 49] from Operation: 69-20=49
Current State: 25:[96, 4, 49], Operations: ['69-20=49']
Exploring Operation: 96/4=24, Resulting Numbers: [49, 24]
Generated Node #3: [49, 24] from Operation: 96/4=24
Current State: 25:[49, 24], Operations: ['69-20=49', '96/4=24']
Exploring Operation: 49-24=25, Resulting Numbers: [25]
25,25 equal: Goal Reached
| 4 |
[
56,
96,
92,
68
] | 54 | [
"96-92=4",
"56/4=14",
"68-14=54"
] | Current State: 54:[56, 96, 92, 68], Operations: []
Exploring Operation: 96-92=4, Resulting Numbers: [56, 68, 4]
Generated Node #2: [56, 68, 4] from Operation: 96-92=4
Current State: 54:[56, 68, 4], Operations: ['96-92=4']
Exploring Operation: 56/4=14, Resulting Numbers: [68, 14]
Generated Node #3: [68, 14] from Operation: 56/4=14
Current State: 54:[68, 14], Operations: ['96-92=4', '56/4=14']
Exploring Operation: 68-14=54, Resulting Numbers: [54]
54,54 equal: Goal Reached
| 4 |
[
54,
13,
26,
75
] | 33 | [
"54*26=1404",
"1404/13=108",
"108-75=33"
] | Current State: 33:[54, 13, 26, 75], Operations: []
Exploring Operation: 54*26=1404, Resulting Numbers: [13, 75, 1404]
Generated Node #2: [13, 75, 1404] from Operation: 54*26=1404
Current State: 33:[13, 75, 1404], Operations: ['54*26=1404']
Exploring Operation: 1404/13=108, Resulting Numbers: [75, 108]
Generated Node #3: [75, 108] from Operation: 1404/13=108
Current State: 33:[75, 108], Operations: ['54*26=1404', '1404/13=108']
Exploring Operation: 108-75=33, Resulting Numbers: [33]
33,33 equal: Goal Reached
| 4 |
[
73,
77,
74,
3
] | 28 | [
"73+74=147",
"147/3=49",
"77-49=28"
] | Current State: 28:[73, 77, 74, 3], Operations: []
Exploring Operation: 73+74=147, Resulting Numbers: [77, 3, 147]
Generated Node #2: [77, 3, 147] from Operation: 73+74=147
Current State: 28:[77, 3, 147], Operations: ['73+74=147']
Exploring Operation: 147/3=49, Resulting Numbers: [77, 49]
Generated Node #3: [77, 49] from Operation: 147/3=49
Current State: 28:[77, 49], Operations: ['73+74=147', '147/3=49']
Exploring Operation: 77-49=28, Resulting Numbers: [28]
28,28 equal: Goal Reached
| 4 |
[
63,
63,
2,
1
] | 95 | [
"63+1=64",
"64/2=32",
"63+32=95"
] | Current State: 95:[63, 63, 2, 1], Operations: []
Exploring Operation: 63+1=64, Resulting Numbers: [2, 64]
Generated Node #2: [2, 64] from Operation: 63+1=64
Current State: 95:[2, 64], Operations: ['63+1=64']
Exploring Operation: 64/2=32, Resulting Numbers: [32]
32,95 equal: Goal Reached
Exploring Operation: 63+32=95, Resulting Numbers: [95]
95,95 equal: Goal Reached
| 4 |
[
54,
70,
90,
46
] | 80 | [
"54+70=124",
"90-46=44",
"124-44=80"
] | Current State: 80:[54, 70, 90, 46], Operations: []
Exploring Operation: 54+70=124, Resulting Numbers: [90, 46, 124]
Generated Node #2: [90, 46, 124] from Operation: 54+70=124
Current State: 80:[90, 46, 124], Operations: ['54+70=124']
Exploring Operation: 90-46=44, Resulting Numbers: [124, 44]
Generated Node #3: [124, 44] from Operation: 90-46=44
Current State: 80:[124, 44], Operations: ['54+70=124', '90-46=44']
Exploring Operation: 124-44=80, Resulting Numbers: [80]
80,80 equal: Goal Reached
| 4 |
[
91,
56,
4,
65
] | 12 | [
"91-65=26",
"56/4=14",
"26-14=12"
] | Current State: 12:[91, 56, 4, 65], Operations: []
Exploring Operation: 91-65=26, Resulting Numbers: [56, 4, 26]
Generated Node #2: [56, 4, 26] from Operation: 91-65=26
Current State: 12:[56, 4, 26], Operations: ['91-65=26']
Exploring Operation: 56/4=14, Resulting Numbers: [26, 14]
Generated Node #3: [26, 14] from Operation: 56/4=14
Current State: 12:[26, 14], Operations: ['91-65=26', '56/4=14']
Exploring Operation: 26-14=12, Resulting Numbers: [12]
12,12 equal: Goal Reached
| 4 |
[
27,
18,
14,
54
] | 20 | [
"27-18=9",
"54/9=6",
"14+6=20"
] | Current State: 20:[27, 18, 14, 54], Operations: []
Exploring Operation: 27-18=9, Resulting Numbers: [14, 54, 9]
Generated Node #2: [14, 54, 9] from Operation: 27-18=9
Current State: 20:[14, 54, 9], Operations: ['27-18=9']
Exploring Operation: 54/9=6, Resulting Numbers: [14, 6]
Generated Node #3: [14, 6] from Operation: 54/9=6
Current State: 20:[14, 6], Operations: ['27-18=9', '54/9=6']
Exploring Operation: 14+6=20, Resulting Numbers: [20]
20,20 equal: Goal Reached
| 4 |
[
60,
68,
61,
9
] | 60 | [
"68-60=8",
"61-9=52",
"8+52=60"
] | Current State: 60:[60, 68, 61, 9], Operations: []
Exploring Operation: 68-60=8, Resulting Numbers: [61, 9, 8]
Generated Node #2: [61, 9, 8] from Operation: 68-60=8
Current State: 60:[61, 9, 8], Operations: ['68-60=8']
Exploring Operation: 61-9=52, Resulting Numbers: [8, 52]
Generated Node #3: [8, 52] from Operation: 61-9=52
Current State: 60:[8, 52], Operations: ['68-60=8', '61-9=52']
Exploring Operation: 8+52=60, Resulting Numbers: [60]
60,60 equal: Goal Reached
| 4 |
[
90,
42,
47,
59
] | 36 | [
"90-42=48",
"59-47=12",
"48-12=36"
] | Current State: 36:[90, 42, 47, 59], Operations: []
Exploring Operation: 90-42=48, Resulting Numbers: [47, 59, 48]
Generated Node #2: [47, 59, 48] from Operation: 90-42=48
Current State: 36:[47, 59, 48], Operations: ['90-42=48']
Exploring Operation: 59-47=12, Resulting Numbers: [48, 12]
Generated Node #3: [48, 12] from Operation: 59-47=12
Current State: 36:[48, 12], Operations: ['90-42=48', '59-47=12']
Exploring Operation: 48-12=36, Resulting Numbers: [36]
36,36 equal: Goal Reached
| 4 |
[
5,
81,
56,
47
] | 85 | [
"81-5=76",
"56-47=9",
"76+9=85"
] | Current State: 85:[5, 81, 56, 47], Operations: []
Exploring Operation: 81-5=76, Resulting Numbers: [56, 47, 76]
Generated Node #2: [56, 47, 76] from Operation: 81-5=76
Current State: 85:[56, 47, 76], Operations: ['81-5=76']
Exploring Operation: 56-47=9, Resulting Numbers: [76, 9]
Generated Node #3: [76, 9] from Operation: 56-47=9
Current State: 85:[76, 9], Operations: ['81-5=76', '56-47=9']
Exploring Operation: 76+9=85, Resulting Numbers: [85]
85,85 equal: Goal Reached
| 4 |
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