nums listlengths 4 4 | target int64 10 100 | solution listlengths 3 3 | optimal_path stringlengths 282 529 | start_size int64 4 4 |
|---|---|---|---|---|
[
19,
28,
35,
30
] | 67 | [
"35-30=5",
"19*5=95",
"95-28=67"
] | Current State: 67:[19, 28, 35, 30], Operations: []
Exploring Operation: 35-30=5, Resulting Numbers: [19, 28, 5]
Generated Node #2: [19, 28, 5] from Operation: 35-30=5
Current State: 67:[19, 28, 5], Operations: ['35-30=5']
Exploring Operation: 19*5=95, Resulting Numbers: [28, 95]
Generated Node #3: [28, 95] from Operation: 19*5=95
Current State: 67:[28, 95], Operations: ['35-30=5', '19*5=95']
Exploring Operation: 95-28=67, Resulting Numbers: [67]
67,67 equal: Goal Reached
| 4 |
[
69,
94,
16,
4
] | 84 | [
"94-69=25",
"4*25=100",
"100-16=84"
] | Current State: 84:[69, 94, 16, 4], Operations: []
Exploring Operation: 94-69=25, Resulting Numbers: [16, 4, 25]
Generated Node #2: [16, 4, 25] from Operation: 94-69=25
Current State: 84:[16, 4, 25], Operations: ['94-69=25']
Exploring Operation: 4*25=100, Resulting Numbers: [16, 100]
Generated Node #3: [16, 100] from Operation: 4*25=100
Current State: 84:[16, 100], Operations: ['94-69=25', '4*25=100']
Exploring Operation: 100-16=84, Resulting Numbers: [84]
84,84 equal: Goal Reached
| 4 |
[
59,
23,
26,
30
] | 40 | [
"59-23=36",
"30-26=4",
"36+4=40"
] | Current State: 40:[59, 23, 26, 30], Operations: []
Exploring Operation: 59-23=36, Resulting Numbers: [26, 30, 36]
Generated Node #2: [26, 30, 36] from Operation: 59-23=36
Current State: 40:[26, 30, 36], Operations: ['59-23=36']
Exploring Operation: 30-26=4, Resulting Numbers: [36, 4]
Generated Node #3: [36, 4] from Operation: 30-26=4
Current State: 40:[36, 4], Operations: ['59-23=36', '30-26=4']
Exploring Operation: 36+4=40, Resulting Numbers: [40]
40,40 equal: Goal Reached
| 4 |
[
10,
58,
90,
61
] | 83 | [
"10+58=68",
"90+61=151",
"151-68=83"
] | Current State: 83:[10, 58, 90, 61], Operations: []
Exploring Operation: 10+58=68, Resulting Numbers: [90, 61, 68]
Generated Node #2: [90, 61, 68] from Operation: 10+58=68
Current State: 83:[90, 61, 68], Operations: ['10+58=68']
Exploring Operation: 90+61=151, Resulting Numbers: [68, 151]
Generated Node #3: [68, 151] from Operation: 90+61=151
Current State: 83:[68, 151], Operations: ['10+58=68', '90+61=151']
Exploring Operation: 151-68=83, Resulting Numbers: [83]
83,83 equal: Goal Reached
| 4 |
[
79,
81,
61,
60
] | 91 | [
"81-79=2",
"60/2=30",
"61+30=91"
] | Current State: 91:[79, 81, 61, 60], Operations: []
Exploring Operation: 81-79=2, Resulting Numbers: [61, 60, 2]
Generated Node #2: [61, 60, 2] from Operation: 81-79=2
Current State: 91:[61, 60, 2], Operations: ['81-79=2']
Exploring Operation: 60/2=30, Resulting Numbers: [61, 30]
Generated Node #3: [61, 30] from Operation: 60/2=30
Current State: 91:[61, 30], Operations: ['81-79=2', '60/2=30']
Exploring Operation: 61+30=91, Resulting Numbers: [91]
91,91 equal: Goal Reached
| 4 |
[
91,
28,
42,
2
] | 77 | [
"91+42=133",
"28*2=56",
"133-56=77"
] | Current State: 77:[91, 28, 42, 2], Operations: []
Exploring Operation: 91+42=133, Resulting Numbers: [28, 2, 133]
Generated Node #2: [28, 2, 133] from Operation: 91+42=133
Current State: 77:[28, 2, 133], Operations: ['91+42=133']
Exploring Operation: 28*2=56, Resulting Numbers: [133, 56]
Generated Node #3: [133, 56] from Operation: 28*2=56
Current State: 77:[133, 56], Operations: ['91+42=133', '28*2=56']
Exploring Operation: 133-56=77, Resulting Numbers: [77]
77,77 equal: Goal Reached
| 4 |
[
82,
76,
20,
66
] | 19 | [
"82-20=62",
"66-62=4",
"76/4=19"
] | Current State: 19:[82, 76, 20, 66], Operations: []
Exploring Operation: 82-20=62, Resulting Numbers: [76, 66, 62]
Generated Node #2: [76, 66, 62] from Operation: 82-20=62
Current State: 19:[76, 66, 62], Operations: ['82-20=62']
Exploring Operation: 66-62=4, Resulting Numbers: [76, 4]
Generated Node #3: [76, 4] from Operation: 66-62=4
Current State: 19:[76, 4], Operations: ['82-20=62', '66-62=4']
Exploring Operation: 76/4=19, Resulting Numbers: [19]
19,19 equal: Goal Reached
| 4 |
[
20,
44,
76,
24
] | 76 | [
"44-20=24",
"76+24=100",
"100-24=76"
] | Current State: 76:[20, 44, 76, 24], Operations: []
Exploring Operation: 44-20=24, Resulting Numbers: [76, 24, 24]
Generated Node #2: [76, 24, 24] from Operation: 44-20=24
Current State: 76:[76, 24, 24], Operations: ['44-20=24']
Exploring Operation: 76+24=100, Resulting Numbers: [100]
100,76 equal: Goal Reached
Exploring Operation: 100-24=76, Resulting Numbers: [76]
76,76 equal: Goal Reached
| 4 |
[
13,
25,
19,
10
] | 82 | [
"13-10=3",
"19*3=57",
"25+57=82"
] | Current State: 82:[13, 25, 19, 10], Operations: []
Exploring Operation: 13-10=3, Resulting Numbers: [25, 19, 3]
Generated Node #2: [25, 19, 3] from Operation: 13-10=3
Current State: 82:[25, 19, 3], Operations: ['13-10=3']
Exploring Operation: 19*3=57, Resulting Numbers: [25, 57]
Generated Node #3: [25, 57] from Operation: 19*3=57
Current State: 82:[25, 57], Operations: ['13-10=3', '19*3=57']
Exploring Operation: 25+57=82, Resulting Numbers: [82]
82,82 equal: Goal Reached
| 4 |
[
82,
13,
82,
67
] | 55 | [
"82/82=1",
"67-13=54",
"1+54=55"
] | Current State: 55:[82, 13, 82, 67], Operations: []
Exploring Operation: 82/82=1, Resulting Numbers: [13, 67, 1]
Generated Node #2: [13, 67, 1] from Operation: 82/82=1
Current State: 55:[13, 67, 1], Operations: ['82/82=1']
Exploring Operation: 67-13=54, Resulting Numbers: [1, 54]
Generated Node #3: [1, 54] from Operation: 67-13=54
Current State: 55:[1, 54], Operations: ['82/82=1', '67-13=54']
Exploring Operation: 1+54=55, Resulting Numbers: [55]
55,55 equal: Goal Reached
| 4 |
[
75,
82,
46,
94
] | 55 | [
"82-75=7",
"94-46=48",
"7+48=55"
] | Current State: 55:[75, 82, 46, 94], Operations: []
Exploring Operation: 82-75=7, Resulting Numbers: [46, 94, 7]
Generated Node #2: [46, 94, 7] from Operation: 82-75=7
Current State: 55:[46, 94, 7], Operations: ['82-75=7']
Exploring Operation: 94-46=48, Resulting Numbers: [7, 48]
Generated Node #3: [7, 48] from Operation: 94-46=48
Current State: 55:[7, 48], Operations: ['82-75=7', '94-46=48']
Exploring Operation: 7+48=55, Resulting Numbers: [55]
55,55 equal: Goal Reached
| 4 |
[
47,
96,
49,
48
] | 94 | [
"47+49=96",
"96/48=2",
"96-2=94"
] | Current State: 94:[47, 96, 49, 48], Operations: []
Exploring Operation: 47+49=96, Resulting Numbers: [96, 48, 96]
Generated Node #2: [96, 48, 96] from Operation: 47+49=96
Current State: 94:[96, 48, 96], Operations: ['47+49=96']
Exploring Operation: 96/48=2, Resulting Numbers: [2]
2,94 equal: Goal Reached
Exploring Operation: 96-2=94, Resulting Numbers: [94]
94,94 equal: Goal Reached
| 4 |
[
3,
33,
13,
4
] | 63 | [
"33/3=11",
"13*4=52",
"11+52=63"
] | Current State: 63:[3, 33, 13, 4], Operations: []
Exploring Operation: 33/3=11, Resulting Numbers: [13, 4, 11]
Generated Node #2: [13, 4, 11] from Operation: 33/3=11
Current State: 63:[13, 4, 11], Operations: ['33/3=11']
Exploring Operation: 13*4=52, Resulting Numbers: [11, 52]
Generated Node #3: [11, 52] from Operation: 13*4=52
Current State: 63:[11, 52], Operations: ['33/3=11', '13*4=52']
Exploring Operation: 11+52=63, Resulting Numbers: [63]
63,63 equal: Goal Reached
| 4 |
[
90,
59,
76,
15
] | 15 | [
"90+59=149",
"76+149=225",
"225/15=15"
] | Current State: 15:[90, 59, 76, 15], Operations: []
Exploring Operation: 90+59=149, Resulting Numbers: [76, 15, 149]
Generated Node #2: [76, 15, 149] from Operation: 90+59=149
Current State: 15:[76, 15, 149], Operations: ['90+59=149']
Exploring Operation: 76+149=225, Resulting Numbers: [15, 225]
Generated Node #3: [15, 225] from Operation: 76+149=225
Current State: 15:[15, 225], Operations: ['90+59=149', '76+149=225']
Exploring Operation: 225/15=15, Resulting Numbers: [15]
15,15 equal: Goal Reached
| 4 |
[
1,
30,
57,
13
] | 75 | [
"1+30=31",
"57-13=44",
"31+44=75"
] | Current State: 75:[1, 30, 57, 13], Operations: []
Exploring Operation: 1+30=31, Resulting Numbers: [57, 13, 31]
Generated Node #2: [57, 13, 31] from Operation: 1+30=31
Current State: 75:[57, 13, 31], Operations: ['1+30=31']
Exploring Operation: 57-13=44, Resulting Numbers: [31, 44]
Generated Node #3: [31, 44] from Operation: 57-13=44
Current State: 75:[31, 44], Operations: ['1+30=31', '57-13=44']
Exploring Operation: 31+44=75, Resulting Numbers: [75]
75,75 equal: Goal Reached
| 4 |
[
93,
93,
71,
11
] | 61 | [
"93/93=1",
"71-11=60",
"1+60=61"
] | Current State: 61:[93, 93, 71, 11], Operations: []
Exploring Operation: 93/93=1, Resulting Numbers: [71, 11, 1]
Generated Node #2: [71, 11, 1] from Operation: 93/93=1
Current State: 61:[71, 11, 1], Operations: ['93/93=1']
Exploring Operation: 71-11=60, Resulting Numbers: [1, 60]
Generated Node #3: [1, 60] from Operation: 71-11=60
Current State: 61:[1, 60], Operations: ['93/93=1', '71-11=60']
Exploring Operation: 1+60=61, Resulting Numbers: [61]
61,61 equal: Goal Reached
| 4 |
[
10,
73,
3,
23
] | 40 | [
"3*23=69",
"73-69=4",
"10*4=40"
] | Current State: 40:[10, 73, 3, 23], Operations: []
Exploring Operation: 3*23=69, Resulting Numbers: [10, 73, 69]
Generated Node #2: [10, 73, 69] from Operation: 3*23=69
Current State: 40:[10, 73, 69], Operations: ['3*23=69']
Exploring Operation: 73-69=4, Resulting Numbers: [10, 4]
Generated Node #3: [10, 4] from Operation: 73-69=4
Current State: 40:[10, 4], Operations: ['3*23=69', '73-69=4']
Exploring Operation: 10*4=40, Resulting Numbers: [40]
40,40 equal: Goal Reached
| 4 |
[
79,
24,
96,
68
] | 75 | [
"79+24=103",
"96-68=28",
"103-28=75"
] | Current State: 75:[79, 24, 96, 68], Operations: []
Exploring Operation: 79+24=103, Resulting Numbers: [96, 68, 103]
Generated Node #2: [96, 68, 103] from Operation: 79+24=103
Current State: 75:[96, 68, 103], Operations: ['79+24=103']
Exploring Operation: 96-68=28, Resulting Numbers: [103, 28]
Generated Node #3: [103, 28] from Operation: 96-68=28
Current State: 75:[103, 28], Operations: ['79+24=103', '96-68=28']
Exploring Operation: 103-28=75, Resulting Numbers: [75]
75,75 equal: Goal Reached
| 4 |
[
38,
99,
27,
14
] | 33 | [
"38-27=11",
"14-11=3",
"99/3=33"
] | Current State: 33:[38, 99, 27, 14], Operations: []
Exploring Operation: 38-27=11, Resulting Numbers: [99, 14, 11]
Generated Node #2: [99, 14, 11] from Operation: 38-27=11
Current State: 33:[99, 14, 11], Operations: ['38-27=11']
Exploring Operation: 14-11=3, Resulting Numbers: [99, 3]
Generated Node #3: [99, 3] from Operation: 14-11=3
Current State: 33:[99, 3], Operations: ['38-27=11', '14-11=3']
Exploring Operation: 99/3=33, Resulting Numbers: [33]
33,33 equal: Goal Reached
| 4 |
[
42,
6,
31,
3
] | 52 | [
"42/6=7",
"3*7=21",
"31+21=52"
] | Current State: 52:[42, 6, 31, 3], Operations: []
Exploring Operation: 42/6=7, Resulting Numbers: [31, 3, 7]
Generated Node #2: [31, 3, 7] from Operation: 42/6=7
Current State: 52:[31, 3, 7], Operations: ['42/6=7']
Exploring Operation: 3*7=21, Resulting Numbers: [31, 21]
Generated Node #3: [31, 21] from Operation: 3*7=21
Current State: 52:[31, 21], Operations: ['42/6=7', '3*7=21']
Exploring Operation: 31+21=52, Resulting Numbers: [52]
52,52 equal: Goal Reached
| 4 |
[
18,
62,
10,
6
] | 49 | [
"18/6=3",
"62-10=52",
"52-3=49"
] | Current State: 49:[18, 62, 10, 6], Operations: []
Exploring Operation: 18/6=3, Resulting Numbers: [62, 10, 3]
Generated Node #2: [62, 10, 3] from Operation: 18/6=3
Current State: 49:[62, 10, 3], Operations: ['18/6=3']
Exploring Operation: 62-10=52, Resulting Numbers: [3, 52]
Generated Node #3: [3, 52] from Operation: 62-10=52
Current State: 49:[3, 52], Operations: ['18/6=3', '62-10=52']
Exploring Operation: 52-3=49, Resulting Numbers: [49]
49,49 equal: Goal Reached
| 4 |
[
25,
54,
87,
75
] | 47 | [
"75/25=3",
"54+87=141",
"141/3=47"
] | Current State: 47:[25, 54, 87, 75], Operations: []
Exploring Operation: 75/25=3, Resulting Numbers: [54, 87, 3]
Generated Node #2: [54, 87, 3] from Operation: 75/25=3
Current State: 47:[54, 87, 3], Operations: ['75/25=3']
Exploring Operation: 54+87=141, Resulting Numbers: [3, 141]
Generated Node #3: [3, 141] from Operation: 54+87=141
Current State: 47:[3, 141], Operations: ['75/25=3', '54+87=141']
Exploring Operation: 141/3=47, Resulting Numbers: [47]
47,47 equal: Goal Reached
| 4 |
[
99,
2,
82,
68
] | 51 | [
"99-82=17",
"68/2=34",
"17+34=51"
] | Current State: 51:[99, 2, 82, 68], Operations: []
Exploring Operation: 99-82=17, Resulting Numbers: [2, 68, 17]
Generated Node #2: [2, 68, 17] from Operation: 99-82=17
Current State: 51:[2, 68, 17], Operations: ['99-82=17']
Exploring Operation: 68/2=34, Resulting Numbers: [17, 34]
Generated Node #3: [17, 34] from Operation: 68/2=34
Current State: 51:[17, 34], Operations: ['99-82=17', '68/2=34']
Exploring Operation: 17+34=51, Resulting Numbers: [51]
51,51 equal: Goal Reached
| 4 |
[
5,
90,
5,
49
] | 31 | [
"90-5=85",
"5+49=54",
"85-54=31"
] | Current State: 31:[5, 90, 5, 49], Operations: []
Exploring Operation: 90-5=85, Resulting Numbers: [49, 85]
Generated Node #2: [49, 85] from Operation: 90-5=85
Current State: 31:[49, 85], Operations: ['90-5=85']
Exploring Operation: 5+49=54, Resulting Numbers: [85, 54]
Generated Node #3: [85, 54] from Operation: 5+49=54
Current State: 31:[85, 54], Operations: ['90-5=85', '5+49=54']
Exploring Operation: 85-54=31, Resulting Numbers: [31]
31,31 equal: Goal Reached
| 4 |
[
3,
22,
72,
20
] | 78 | [
"22-20=2",
"3*2=6",
"72+6=78"
] | Current State: 78:[3, 22, 72, 20], Operations: []
Exploring Operation: 22-20=2, Resulting Numbers: [3, 72, 2]
Generated Node #2: [3, 72, 2] from Operation: 22-20=2
Current State: 78:[3, 72, 2], Operations: ['22-20=2']
Exploring Operation: 3*2=6, Resulting Numbers: [72, 6]
Generated Node #3: [72, 6] from Operation: 3*2=6
Current State: 78:[72, 6], Operations: ['22-20=2', '3*2=6']
Exploring Operation: 72+6=78, Resulting Numbers: [78]
78,78 equal: Goal Reached
| 4 |
[
28,
63,
55,
77
] | 69 | [
"28+63=91",
"77-55=22",
"91-22=69"
] | Current State: 69:[28, 63, 55, 77], Operations: []
Exploring Operation: 28+63=91, Resulting Numbers: [55, 77, 91]
Generated Node #2: [55, 77, 91] from Operation: 28+63=91
Current State: 69:[55, 77, 91], Operations: ['28+63=91']
Exploring Operation: 77-55=22, Resulting Numbers: [91, 22]
Generated Node #3: [91, 22] from Operation: 77-55=22
Current State: 69:[91, 22], Operations: ['28+63=91', '77-55=22']
Exploring Operation: 91-22=69, Resulting Numbers: [69]
69,69 equal: Goal Reached
| 4 |
[
2,
75,
23,
57
] | 59 | [
"75-57=18",
"2*18=36",
"23+36=59"
] | Current State: 59:[2, 75, 23, 57], Operations: []
Exploring Operation: 75-57=18, Resulting Numbers: [2, 23, 18]
Generated Node #2: [2, 23, 18] from Operation: 75-57=18
Current State: 59:[2, 23, 18], Operations: ['75-57=18']
Exploring Operation: 2*18=36, Resulting Numbers: [23, 36]
Generated Node #3: [23, 36] from Operation: 2*18=36
Current State: 59:[23, 36], Operations: ['75-57=18', '2*18=36']
Exploring Operation: 23+36=59, Resulting Numbers: [59]
59,59 equal: Goal Reached
| 4 |
[
11,
77,
23,
33
] | 33 | [
"77+33=110",
"110/11=10",
"23+10=33"
] | Current State: 33:[11, 77, 23, 33], Operations: []
Exploring Operation: 77+33=110, Resulting Numbers: [11, 23, 110]
Generated Node #2: [11, 23, 110] from Operation: 77+33=110
Current State: 33:[11, 23, 110], Operations: ['77+33=110']
Exploring Operation: 110/11=10, Resulting Numbers: [23, 10]
Generated Node #3: [23, 10] from Operation: 110/11=10
Current State: 33:[23, 10], Operations: ['77+33=110', '110/11=10']
Exploring Operation: 23+10=33, Resulting Numbers: [33]
33,33 equal: Goal Reached
| 4 |
[
84,
55,
49,
39
] | 25 | [
"55-49=6",
"84/6=14",
"39-14=25"
] | Current State: 25:[84, 55, 49, 39], Operations: []
Exploring Operation: 55-49=6, Resulting Numbers: [84, 39, 6]
Generated Node #2: [84, 39, 6] from Operation: 55-49=6
Current State: 25:[84, 39, 6], Operations: ['55-49=6']
Exploring Operation: 84/6=14, Resulting Numbers: [39, 14]
Generated Node #3: [39, 14] from Operation: 84/6=14
Current State: 25:[39, 14], Operations: ['55-49=6', '84/6=14']
Exploring Operation: 39-14=25, Resulting Numbers: [25]
25,25 equal: Goal Reached
| 4 |
[
60,
32,
37,
90
] | 99 | [
"60-32=28",
"37+90=127",
"127-28=99"
] | Current State: 99:[60, 32, 37, 90], Operations: []
Exploring Operation: 60-32=28, Resulting Numbers: [37, 90, 28]
Generated Node #2: [37, 90, 28] from Operation: 60-32=28
Current State: 99:[37, 90, 28], Operations: ['60-32=28']
Exploring Operation: 37+90=127, Resulting Numbers: [28, 127]
Generated Node #3: [28, 127] from Operation: 37+90=127
Current State: 99:[28, 127], Operations: ['60-32=28', '37+90=127']
Exploring Operation: 127-28=99, Resulting Numbers: [99]
99,99 equal: Goal Reached
| 4 |
[
58,
78,
86,
38
] | 55 | [
"86*38=3268",
"3268-78=3190",
"3190/58=55"
] | Current State: 55:[58, 78, 86, 38], Operations: []
Exploring Operation: 86*38=3268, Resulting Numbers: [58, 78, 3268]
Generated Node #2: [58, 78, 3268] from Operation: 86*38=3268
Current State: 55:[58, 78, 3268], Operations: ['86*38=3268']
Exploring Operation: 3268-78=3190, Resulting Numbers: [58, 3190]
Generated Node #3: [58, 3190] from Operation: 3268-78=3190
Current State: 55:[58, 3190], Operations: ['86*38=3268', '3268-78=3190']
Exploring Operation: 3190/58=55, Resulting Numbers: [55]
55,55 equal: Goal Reached
| 4 |
[
4,
56,
91,
2
] | 63 | [
"56/4=14",
"2*14=28",
"91-28=63"
] | Current State: 63:[4, 56, 91, 2], Operations: []
Exploring Operation: 56/4=14, Resulting Numbers: [91, 2, 14]
Generated Node #2: [91, 2, 14] from Operation: 56/4=14
Current State: 63:[91, 2, 14], Operations: ['56/4=14']
Exploring Operation: 2*14=28, Resulting Numbers: [91, 28]
Generated Node #3: [91, 28] from Operation: 2*14=28
Current State: 63:[91, 28], Operations: ['56/4=14', '2*14=28']
Exploring Operation: 91-28=63, Resulting Numbers: [63]
63,63 equal: Goal Reached
| 4 |
[
83,
90,
94,
37
] | 42 | [
"83+90=173",
"94+37=131",
"173-131=42"
] | Current State: 42:[83, 90, 94, 37], Operations: []
Exploring Operation: 83+90=173, Resulting Numbers: [94, 37, 173]
Generated Node #2: [94, 37, 173] from Operation: 83+90=173
Current State: 42:[94, 37, 173], Operations: ['83+90=173']
Exploring Operation: 94+37=131, Resulting Numbers: [173, 131]
Generated Node #3: [173, 131] from Operation: 94+37=131
Current State: 42:[173, 131], Operations: ['83+90=173', '94+37=131']
Exploring Operation: 173-131=42, Resulting Numbers: [42]
42,42 equal: Goal Reached
| 4 |
[
16,
40,
6,
12
] | 26 | [
"40-16=24",
"12/6=2",
"24+2=26"
] | Current State: 26:[16, 40, 6, 12], Operations: []
Exploring Operation: 40-16=24, Resulting Numbers: [6, 12, 24]
Generated Node #2: [6, 12, 24] from Operation: 40-16=24
Current State: 26:[6, 12, 24], Operations: ['40-16=24']
Exploring Operation: 12/6=2, Resulting Numbers: [24, 2]
Generated Node #3: [24, 2] from Operation: 12/6=2
Current State: 26:[24, 2], Operations: ['40-16=24', '12/6=2']
Exploring Operation: 24+2=26, Resulting Numbers: [26]
26,26 equal: Goal Reached
| 4 |
[
46,
39,
90,
81
] | 16 | [
"46-39=7",
"90-81=9",
"7+9=16"
] | Current State: 16:[46, 39, 90, 81], Operations: []
Exploring Operation: 46-39=7, Resulting Numbers: [90, 81, 7]
Generated Node #2: [90, 81, 7] from Operation: 46-39=7
Current State: 16:[90, 81, 7], Operations: ['46-39=7']
Exploring Operation: 90-81=9, Resulting Numbers: [7, 9]
Generated Node #3: [7, 9] from Operation: 90-81=9
Current State: 16:[7, 9], Operations: ['46-39=7', '90-81=9']
Exploring Operation: 7+9=16, Resulting Numbers: [16]
16,16 equal: Goal Reached
| 4 |
[
72,
88,
79,
16
] | 47 | [
"88-72=16",
"79-16=63",
"63-16=47"
] | Current State: 47:[72, 88, 79, 16], Operations: []
Exploring Operation: 88-72=16, Resulting Numbers: [79, 16, 16]
Generated Node #2: [79, 16, 16] from Operation: 88-72=16
Current State: 47:[79, 16, 16], Operations: ['88-72=16']
Exploring Operation: 79-16=63, Resulting Numbers: [63]
63,47 equal: Goal Reached
Exploring Operation: 63-16=47, Resulting Numbers: [47]
47,47 equal: Goal Reached
| 4 |
[
8,
64,
28,
15
] | 14 | [
"64-15=49",
"8*49=392",
"392/28=14"
] | Current State: 14:[8, 64, 28, 15], Operations: []
Exploring Operation: 64-15=49, Resulting Numbers: [8, 28, 49]
Generated Node #2: [8, 28, 49] from Operation: 64-15=49
Current State: 14:[8, 28, 49], Operations: ['64-15=49']
Exploring Operation: 8*49=392, Resulting Numbers: [28, 392]
Generated Node #3: [28, 392] from Operation: 8*49=392
Current State: 14:[28, 392], Operations: ['64-15=49', '8*49=392']
Exploring Operation: 392/28=14, Resulting Numbers: [14]
14,14 equal: Goal Reached
| 4 |
[
83,
8,
95,
50
] | 54 | [
"83+8=91",
"95+50=145",
"145-91=54"
] | Current State: 54:[83, 8, 95, 50], Operations: []
Exploring Operation: 83+8=91, Resulting Numbers: [95, 50, 91]
Generated Node #2: [95, 50, 91] from Operation: 83+8=91
Current State: 54:[95, 50, 91], Operations: ['83+8=91']
Exploring Operation: 95+50=145, Resulting Numbers: [91, 145]
Generated Node #3: [91, 145] from Operation: 95+50=145
Current State: 54:[91, 145], Operations: ['83+8=91', '95+50=145']
Exploring Operation: 145-91=54, Resulting Numbers: [54]
54,54 equal: Goal Reached
| 4 |
[
2,
14,
5,
77
] | 63 | [
"2*14=28",
"5*28=140",
"140-77=63"
] | Current State: 63:[2, 14, 5, 77], Operations: []
Exploring Operation: 2*14=28, Resulting Numbers: [5, 77, 28]
Generated Node #2: [5, 77, 28] from Operation: 2*14=28
Current State: 63:[5, 77, 28], Operations: ['2*14=28']
Exploring Operation: 5*28=140, Resulting Numbers: [77, 140]
Generated Node #3: [77, 140] from Operation: 5*28=140
Current State: 63:[77, 140], Operations: ['2*14=28', '5*28=140']
Exploring Operation: 140-77=63, Resulting Numbers: [63]
63,63 equal: Goal Reached
| 4 |
[
39,
35,
21,
42
] | 42 | [
"39-35=4",
"21*4=84",
"84-42=42"
] | Current State: 42:[39, 35, 21, 42], Operations: []
Exploring Operation: 39-35=4, Resulting Numbers: [21, 42, 4]
Generated Node #2: [21, 42, 4] from Operation: 39-35=4
Current State: 42:[21, 42, 4], Operations: ['39-35=4']
Exploring Operation: 21*4=84, Resulting Numbers: [42, 84]
Generated Node #3: [42, 84] from Operation: 21*4=84
Current State: 42:[42, 84], Operations: ['39-35=4', '21*4=84']
Exploring Operation: 84-42=42, Resulting Numbers: [42]
42,42 equal: Goal Reached
| 4 |
[
53,
4,
69,
1
] | 60 | [
"69-53=16",
"16-1=15",
"4*15=60"
] | Current State: 60:[53, 4, 69, 1], Operations: []
Exploring Operation: 69-53=16, Resulting Numbers: [4, 1, 16]
Generated Node #2: [4, 1, 16] from Operation: 69-53=16
Current State: 60:[4, 1, 16], Operations: ['69-53=16']
Exploring Operation: 16-1=15, Resulting Numbers: [4, 15]
Generated Node #3: [4, 15] from Operation: 16-1=15
Current State: 60:[4, 15], Operations: ['69-53=16', '16-1=15']
Exploring Operation: 4*15=60, Resulting Numbers: [60]
60,60 equal: Goal Reached
| 4 |
[
81,
68,
99,
35
] | 27 | [
"68-35=33",
"81*33=2673",
"2673/99=27"
] | Current State: 27:[81, 68, 99, 35], Operations: []
Exploring Operation: 68-35=33, Resulting Numbers: [81, 99, 33]
Generated Node #2: [81, 99, 33] from Operation: 68-35=33
Current State: 27:[81, 99, 33], Operations: ['68-35=33']
Exploring Operation: 81*33=2673, Resulting Numbers: [99, 2673]
Generated Node #3: [99, 2673] from Operation: 81*33=2673
Current State: 27:[99, 2673], Operations: ['68-35=33', '81*33=2673']
Exploring Operation: 2673/99=27, Resulting Numbers: [27]
27,27 equal: Goal Reached
| 4 |
[
21,
66,
2,
37
] | 79 | [
"66-37=29",
"2*29=58",
"21+58=79"
] | Current State: 79:[21, 66, 2, 37], Operations: []
Exploring Operation: 66-37=29, Resulting Numbers: [21, 2, 29]
Generated Node #2: [21, 2, 29] from Operation: 66-37=29
Current State: 79:[21, 2, 29], Operations: ['66-37=29']
Exploring Operation: 2*29=58, Resulting Numbers: [21, 58]
Generated Node #3: [21, 58] from Operation: 2*29=58
Current State: 79:[21, 58], Operations: ['66-37=29', '2*29=58']
Exploring Operation: 21+58=79, Resulting Numbers: [79]
79,79 equal: Goal Reached
| 4 |
[
94,
57,
90,
40
] | 67 | [
"94-90=4",
"40/4=10",
"57+10=67"
] | Current State: 67:[94, 57, 90, 40], Operations: []
Exploring Operation: 94-90=4, Resulting Numbers: [57, 40, 4]
Generated Node #2: [57, 40, 4] from Operation: 94-90=4
Current State: 67:[57, 40, 4], Operations: ['94-90=4']
Exploring Operation: 40/4=10, Resulting Numbers: [57, 10]
Generated Node #3: [57, 10] from Operation: 40/4=10
Current State: 67:[57, 10], Operations: ['94-90=4', '40/4=10']
Exploring Operation: 57+10=67, Resulting Numbers: [67]
67,67 equal: Goal Reached
| 4 |
[
75,
28,
70,
47
] | 71 | [
"75-28=47",
"47/47=1",
"70+1=71"
] | Current State: 71:[75, 28, 70, 47], Operations: []
Exploring Operation: 75-28=47, Resulting Numbers: [70, 47, 47]
Generated Node #2: [70, 47, 47] from Operation: 75-28=47
Current State: 71:[70, 47, 47], Operations: ['75-28=47']
Exploring Operation: 47/47=1, Resulting Numbers: [70, 1]
Generated Node #3: [70, 1] from Operation: 47/47=1
Current State: 71:[70, 1], Operations: ['75-28=47', '47/47=1']
Exploring Operation: 70+1=71, Resulting Numbers: [71]
71,71 equal: Goal Reached
| 4 |
[
36,
17,
64,
76
] | 41 | [
"36+17=53",
"76-64=12",
"53-12=41"
] | Current State: 41:[36, 17, 64, 76], Operations: []
Exploring Operation: 36+17=53, Resulting Numbers: [64, 76, 53]
Generated Node #2: [64, 76, 53] from Operation: 36+17=53
Current State: 41:[64, 76, 53], Operations: ['36+17=53']
Exploring Operation: 76-64=12, Resulting Numbers: [53, 12]
Generated Node #3: [53, 12] from Operation: 76-64=12
Current State: 41:[53, 12], Operations: ['36+17=53', '76-64=12']
Exploring Operation: 53-12=41, Resulting Numbers: [41]
41,41 equal: Goal Reached
| 4 |
[
7,
49,
60,
44
] | 30 | [
"49-7=42",
"44-42=2",
"60/2=30"
] | Current State: 30:[7, 49, 60, 44], Operations: []
Exploring Operation: 49-7=42, Resulting Numbers: [60, 44, 42]
Generated Node #2: [60, 44, 42] from Operation: 49-7=42
Current State: 30:[60, 44, 42], Operations: ['49-7=42']
Exploring Operation: 44-42=2, Resulting Numbers: [60, 2]
Generated Node #3: [60, 2] from Operation: 44-42=2
Current State: 30:[60, 2], Operations: ['49-7=42', '44-42=2']
Exploring Operation: 60/2=30, Resulting Numbers: [30]
30,30 equal: Goal Reached
| 4 |
[
98,
32,
10,
21
] | 97 | [
"98-32=66",
"10+21=31",
"66+31=97"
] | Current State: 97:[98, 32, 10, 21], Operations: []
Exploring Operation: 98-32=66, Resulting Numbers: [10, 21, 66]
Generated Node #2: [10, 21, 66] from Operation: 98-32=66
Current State: 97:[10, 21, 66], Operations: ['98-32=66']
Exploring Operation: 10+21=31, Resulting Numbers: [66, 31]
Generated Node #3: [66, 31] from Operation: 10+21=31
Current State: 97:[66, 31], Operations: ['98-32=66', '10+21=31']
Exploring Operation: 66+31=97, Resulting Numbers: [97]
97,97 equal: Goal Reached
| 4 |
[
60,
27,
71,
68
] | 51 | [
"71-68=3",
"27/3=9",
"60-9=51"
] | Current State: 51:[60, 27, 71, 68], Operations: []
Exploring Operation: 71-68=3, Resulting Numbers: [60, 27, 3]
Generated Node #2: [60, 27, 3] from Operation: 71-68=3
Current State: 51:[60, 27, 3], Operations: ['71-68=3']
Exploring Operation: 27/3=9, Resulting Numbers: [60, 9]
Generated Node #3: [60, 9] from Operation: 27/3=9
Current State: 51:[60, 9], Operations: ['71-68=3', '27/3=9']
Exploring Operation: 60-9=51, Resulting Numbers: [51]
51,51 equal: Goal Reached
| 4 |
[
61,
57,
52,
50
] | 51 | [
"57-52=5",
"50/5=10",
"61-10=51"
] | Current State: 51:[61, 57, 52, 50], Operations: []
Exploring Operation: 57-52=5, Resulting Numbers: [61, 50, 5]
Generated Node #2: [61, 50, 5] from Operation: 57-52=5
Current State: 51:[61, 50, 5], Operations: ['57-52=5']
Exploring Operation: 50/5=10, Resulting Numbers: [61, 10]
Generated Node #3: [61, 10] from Operation: 50/5=10
Current State: 51:[61, 10], Operations: ['57-52=5', '50/5=10']
Exploring Operation: 61-10=51, Resulting Numbers: [51]
51,51 equal: Goal Reached
| 4 |
[
51,
2,
6,
31
] | 66 | [
"2*31=62",
"62-51=11",
"6*11=66"
] | Current State: 66:[51, 2, 6, 31], Operations: []
Exploring Operation: 2*31=62, Resulting Numbers: [51, 6, 62]
Generated Node #2: [51, 6, 62] from Operation: 2*31=62
Current State: 66:[51, 6, 62], Operations: ['2*31=62']
Exploring Operation: 62-51=11, Resulting Numbers: [6, 11]
Generated Node #3: [6, 11] from Operation: 62-51=11
Current State: 66:[6, 11], Operations: ['2*31=62', '62-51=11']
Exploring Operation: 6*11=66, Resulting Numbers: [66]
66,66 equal: Goal Reached
| 4 |
[
8,
45,
44,
7
] | 14 | [
"45-8=37",
"44+7=51",
"51-37=14"
] | Current State: 14:[8, 45, 44, 7], Operations: []
Exploring Operation: 45-8=37, Resulting Numbers: [44, 7, 37]
Generated Node #2: [44, 7, 37] from Operation: 45-8=37
Current State: 14:[44, 7, 37], Operations: ['45-8=37']
Exploring Operation: 44+7=51, Resulting Numbers: [37, 51]
Generated Node #3: [37, 51] from Operation: 44+7=51
Current State: 14:[37, 51], Operations: ['45-8=37', '44+7=51']
Exploring Operation: 51-37=14, Resulting Numbers: [14]
14,14 equal: Goal Reached
| 4 |
[
30,
76,
15,
79
] | 73 | [
"30*76=2280",
"2280/15=152",
"152-79=73"
] | Current State: 73:[30, 76, 15, 79], Operations: []
Exploring Operation: 30*76=2280, Resulting Numbers: [15, 79, 2280]
Generated Node #2: [15, 79, 2280] from Operation: 30*76=2280
Current State: 73:[15, 79, 2280], Operations: ['30*76=2280']
Exploring Operation: 2280/15=152, Resulting Numbers: [79, 152]
Generated Node #3: [79, 152] from Operation: 2280/15=152
Current State: 73:[79, 152], Operations: ['30*76=2280', '2280/15=152']
Exploring Operation: 152-79=73, Resulting Numbers: [73]
73,73 equal: Goal Reached
| 4 |
[
7,
5,
40,
21
] | 72 | [
"40-7=33",
"5*21=105",
"105-33=72"
] | Current State: 72:[7, 5, 40, 21], Operations: []
Exploring Operation: 40-7=33, Resulting Numbers: [5, 21, 33]
Generated Node #2: [5, 21, 33] from Operation: 40-7=33
Current State: 72:[5, 21, 33], Operations: ['40-7=33']
Exploring Operation: 5*21=105, Resulting Numbers: [33, 105]
Generated Node #3: [33, 105] from Operation: 5*21=105
Current State: 72:[33, 105], Operations: ['40-7=33', '5*21=105']
Exploring Operation: 105-33=72, Resulting Numbers: [72]
72,72 equal: Goal Reached
| 4 |
[
8,
6,
17,
78
] | 56 | [
"8-6=2",
"78/2=39",
"17+39=56"
] | Current State: 56:[8, 6, 17, 78], Operations: []
Exploring Operation: 8-6=2, Resulting Numbers: [17, 78, 2]
Generated Node #2: [17, 78, 2] from Operation: 8-6=2
Current State: 56:[17, 78, 2], Operations: ['8-6=2']
Exploring Operation: 78/2=39, Resulting Numbers: [17, 39]
Generated Node #3: [17, 39] from Operation: 78/2=39
Current State: 56:[17, 39], Operations: ['8-6=2', '78/2=39']
Exploring Operation: 17+39=56, Resulting Numbers: [56]
56,56 equal: Goal Reached
| 4 |
[
82,
70,
76,
84
] | 82 | [
"82+70=152",
"152/76=2",
"84-2=82"
] | Current State: 82:[82, 70, 76, 84], Operations: []
Exploring Operation: 82+70=152, Resulting Numbers: [76, 84, 152]
Generated Node #2: [76, 84, 152] from Operation: 82+70=152
Current State: 82:[76, 84, 152], Operations: ['82+70=152']
Exploring Operation: 152/76=2, Resulting Numbers: [84, 2]
Generated Node #3: [84, 2] from Operation: 152/76=2
Current State: 82:[84, 2], Operations: ['82+70=152', '152/76=2']
Exploring Operation: 84-2=82, Resulting Numbers: [82]
82,82 equal: Goal Reached
| 4 |
[
48,
76,
10,
64
] | 47 | [
"48*76=3648",
"3648/64=57",
"57-10=47"
] | Current State: 47:[48, 76, 10, 64], Operations: []
Exploring Operation: 48*76=3648, Resulting Numbers: [10, 64, 3648]
Generated Node #2: [10, 64, 3648] from Operation: 48*76=3648
Current State: 47:[10, 64, 3648], Operations: ['48*76=3648']
Exploring Operation: 3648/64=57, Resulting Numbers: [10, 57]
Generated Node #3: [10, 57] from Operation: 3648/64=57
Current State: 47:[10, 57], Operations: ['48*76=3648', '3648/64=57']
Exploring Operation: 57-10=47, Resulting Numbers: [47]
47,47 equal: Goal Reached
| 4 |
[
93,
13,
32,
43
] | 50 | [
"43-32=11",
"13*11=143",
"143-93=50"
] | Current State: 50:[93, 13, 32, 43], Operations: []
Exploring Operation: 43-32=11, Resulting Numbers: [93, 13, 11]
Generated Node #2: [93, 13, 11] from Operation: 43-32=11
Current State: 50:[93, 13, 11], Operations: ['43-32=11']
Exploring Operation: 13*11=143, Resulting Numbers: [93, 143]
Generated Node #3: [93, 143] from Operation: 13*11=143
Current State: 50:[93, 143], Operations: ['43-32=11', '13*11=143']
Exploring Operation: 143-93=50, Resulting Numbers: [50]
50,50 equal: Goal Reached
| 4 |
[
48,
51,
43,
92
] | 86 | [
"51-43=8",
"48/8=6",
"92-6=86"
] | Current State: 86:[48, 51, 43, 92], Operations: []
Exploring Operation: 51-43=8, Resulting Numbers: [48, 92, 8]
Generated Node #2: [48, 92, 8] from Operation: 51-43=8
Current State: 86:[48, 92, 8], Operations: ['51-43=8']
Exploring Operation: 48/8=6, Resulting Numbers: [92, 6]
Generated Node #3: [92, 6] from Operation: 48/8=6
Current State: 86:[92, 6], Operations: ['51-43=8', '48/8=6']
Exploring Operation: 92-6=86, Resulting Numbers: [86]
86,86 equal: Goal Reached
| 4 |
[
2,
61,
3,
23
] | 79 | [
"61-2=59",
"23-3=20",
"59+20=79"
] | Current State: 79:[2, 61, 3, 23], Operations: []
Exploring Operation: 61-2=59, Resulting Numbers: [3, 23, 59]
Generated Node #2: [3, 23, 59] from Operation: 61-2=59
Current State: 79:[3, 23, 59], Operations: ['61-2=59']
Exploring Operation: 23-3=20, Resulting Numbers: [59, 20]
Generated Node #3: [59, 20] from Operation: 23-3=20
Current State: 79:[59, 20], Operations: ['61-2=59', '23-3=20']
Exploring Operation: 59+20=79, Resulting Numbers: [79]
79,79 equal: Goal Reached
| 4 |
[
82,
19,
53,
76
] | 28 | [
"82+19=101",
"53+76=129",
"129-101=28"
] | Current State: 28:[82, 19, 53, 76], Operations: []
Exploring Operation: 82+19=101, Resulting Numbers: [53, 76, 101]
Generated Node #2: [53, 76, 101] from Operation: 82+19=101
Current State: 28:[53, 76, 101], Operations: ['82+19=101']
Exploring Operation: 53+76=129, Resulting Numbers: [101, 129]
Generated Node #3: [101, 129] from Operation: 53+76=129
Current State: 28:[101, 129], Operations: ['82+19=101', '53+76=129']
Exploring Operation: 129-101=28, Resulting Numbers: [28]
28,28 equal: Goal Reached
| 4 |
[
34,
71,
53,
88
] | 71 | [
"34+53=87",
"88-87=1",
"71*1=71"
] | Current State: 71:[34, 71, 53, 88], Operations: []
Exploring Operation: 34+53=87, Resulting Numbers: [71, 88, 87]
Generated Node #2: [71, 88, 87] from Operation: 34+53=87
Current State: 71:[71, 88, 87], Operations: ['34+53=87']
Exploring Operation: 88-87=1, Resulting Numbers: [71, 1]
Generated Node #3: [71, 1] from Operation: 88-87=1
Current State: 71:[71, 1], Operations: ['34+53=87', '88-87=1']
Exploring Operation: 71*1=71, Resulting Numbers: [71]
71,71 equal: Goal Reached
| 4 |
[
15,
92,
60,
53
] | 76 | [
"15*92=1380",
"1380/60=23",
"53+23=76"
] | Current State: 76:[15, 92, 60, 53], Operations: []
Exploring Operation: 15*92=1380, Resulting Numbers: [60, 53, 1380]
Generated Node #2: [60, 53, 1380] from Operation: 15*92=1380
Current State: 76:[60, 53, 1380], Operations: ['15*92=1380']
Exploring Operation: 1380/60=23, Resulting Numbers: [53, 23]
Generated Node #3: [53, 23] from Operation: 1380/60=23
Current State: 76:[53, 23], Operations: ['15*92=1380', '1380/60=23']
Exploring Operation: 53+23=76, Resulting Numbers: [76]
76,76 equal: Goal Reached
| 4 |
[
45,
42,
33,
31
] | 61 | [
"45-42=3",
"33+31=64",
"64-3=61"
] | Current State: 61:[45, 42, 33, 31], Operations: []
Exploring Operation: 45-42=3, Resulting Numbers: [33, 31, 3]
Generated Node #2: [33, 31, 3] from Operation: 45-42=3
Current State: 61:[33, 31, 3], Operations: ['45-42=3']
Exploring Operation: 33+31=64, Resulting Numbers: [3, 64]
Generated Node #3: [3, 64] from Operation: 33+31=64
Current State: 61:[3, 64], Operations: ['45-42=3', '33+31=64']
Exploring Operation: 64-3=61, Resulting Numbers: [61]
61,61 equal: Goal Reached
| 4 |
[
90,
34,
87,
8
] | 80 | [
"90-34=56",
"56/8=7",
"87-7=80"
] | Current State: 80:[90, 34, 87, 8], Operations: []
Exploring Operation: 90-34=56, Resulting Numbers: [87, 8, 56]
Generated Node #2: [87, 8, 56] from Operation: 90-34=56
Current State: 80:[87, 8, 56], Operations: ['90-34=56']
Exploring Operation: 56/8=7, Resulting Numbers: [87, 7]
Generated Node #3: [87, 7] from Operation: 56/8=7
Current State: 80:[87, 7], Operations: ['90-34=56', '56/8=7']
Exploring Operation: 87-7=80, Resulting Numbers: [80]
80,80 equal: Goal Reached
| 4 |
[
58,
6,
78,
75
] | 55 | [
"58-6=52",
"78-75=3",
"52+3=55"
] | Current State: 55:[58, 6, 78, 75], Operations: []
Exploring Operation: 58-6=52, Resulting Numbers: [78, 75, 52]
Generated Node #2: [78, 75, 52] from Operation: 58-6=52
Current State: 55:[78, 75, 52], Operations: ['58-6=52']
Exploring Operation: 78-75=3, Resulting Numbers: [52, 3]
Generated Node #3: [52, 3] from Operation: 78-75=3
Current State: 55:[52, 3], Operations: ['58-6=52', '78-75=3']
Exploring Operation: 52+3=55, Resulting Numbers: [55]
55,55 equal: Goal Reached
| 4 |
[
24,
3,
78,
84
] | 82 | [
"24-3=21",
"84/21=4",
"78+4=82"
] | Current State: 82:[24, 3, 78, 84], Operations: []
Exploring Operation: 24-3=21, Resulting Numbers: [78, 84, 21]
Generated Node #2: [78, 84, 21] from Operation: 24-3=21
Current State: 82:[78, 84, 21], Operations: ['24-3=21']
Exploring Operation: 84/21=4, Resulting Numbers: [78, 4]
Generated Node #3: [78, 4] from Operation: 84/21=4
Current State: 82:[78, 4], Operations: ['24-3=21', '84/21=4']
Exploring Operation: 78+4=82, Resulting Numbers: [82]
82,82 equal: Goal Reached
| 4 |
[
8,
11,
17,
47
] | 90 | [
"11-8=3",
"47-17=30",
"3*30=90"
] | Current State: 90:[8, 11, 17, 47], Operations: []
Exploring Operation: 11-8=3, Resulting Numbers: [17, 47, 3]
Generated Node #2: [17, 47, 3] from Operation: 11-8=3
Current State: 90:[17, 47, 3], Operations: ['11-8=3']
Exploring Operation: 47-17=30, Resulting Numbers: [3, 30]
Generated Node #3: [3, 30] from Operation: 47-17=30
Current State: 90:[3, 30], Operations: ['11-8=3', '47-17=30']
Exploring Operation: 3*30=90, Resulting Numbers: [90]
90,90 equal: Goal Reached
| 4 |
[
23,
12,
21,
2
] | 100 | [
"23+21=44",
"2*44=88",
"12+88=100"
] | Current State: 100:[23, 12, 21, 2], Operations: []
Exploring Operation: 23+21=44, Resulting Numbers: [12, 2, 44]
Generated Node #2: [12, 2, 44] from Operation: 23+21=44
Current State: 100:[12, 2, 44], Operations: ['23+21=44']
Exploring Operation: 2*44=88, Resulting Numbers: [12, 88]
Generated Node #3: [12, 88] from Operation: 2*44=88
Current State: 100:[12, 88], Operations: ['23+21=44', '2*44=88']
Exploring Operation: 12+88=100, Resulting Numbers: [100]
100,100 equal: Goal Reached
| 4 |
[
55,
34,
57,
1
] | 36 | [
"55-34=21",
"57*1=57",
"57-21=36"
] | Current State: 36:[55, 34, 57, 1], Operations: []
Exploring Operation: 55-34=21, Resulting Numbers: [57, 1, 21]
Generated Node #2: [57, 1, 21] from Operation: 55-34=21
Current State: 36:[57, 1, 21], Operations: ['55-34=21']
Exploring Operation: 57*1=57, Resulting Numbers: [21, 57]
Generated Node #3: [21, 57] from Operation: 57*1=57
Current State: 36:[21, 57], Operations: ['55-34=21', '57*1=57']
Exploring Operation: 57-21=36, Resulting Numbers: [36]
36,36 equal: Goal Reached
| 4 |
[
93,
60,
27,
52
] | 58 | [
"93-60=33",
"52-27=25",
"33+25=58"
] | Current State: 58:[93, 60, 27, 52], Operations: []
Exploring Operation: 93-60=33, Resulting Numbers: [27, 52, 33]
Generated Node #2: [27, 52, 33] from Operation: 93-60=33
Current State: 58:[27, 52, 33], Operations: ['93-60=33']
Exploring Operation: 52-27=25, Resulting Numbers: [33, 25]
Generated Node #3: [33, 25] from Operation: 52-27=25
Current State: 58:[33, 25], Operations: ['93-60=33', '52-27=25']
Exploring Operation: 33+25=58, Resulting Numbers: [58]
58,58 equal: Goal Reached
| 4 |
[
15,
65,
57,
30
] | 73 | [
"30/15=2",
"65*2=130",
"130-57=73"
] | Current State: 73:[15, 65, 57, 30], Operations: []
Exploring Operation: 30/15=2, Resulting Numbers: [65, 57, 2]
Generated Node #2: [65, 57, 2] from Operation: 30/15=2
Current State: 73:[65, 57, 2], Operations: ['30/15=2']
Exploring Operation: 65*2=130, Resulting Numbers: [57, 130]
Generated Node #3: [57, 130] from Operation: 65*2=130
Current State: 73:[57, 130], Operations: ['30/15=2', '65*2=130']
Exploring Operation: 130-57=73, Resulting Numbers: [73]
73,73 equal: Goal Reached
| 4 |
[
49,
20,
10,
5
] | 21 | [
"49-20=29",
"10*5=50",
"50-29=21"
] | Current State: 21:[49, 20, 10, 5], Operations: []
Exploring Operation: 49-20=29, Resulting Numbers: [10, 5, 29]
Generated Node #2: [10, 5, 29] from Operation: 49-20=29
Current State: 21:[10, 5, 29], Operations: ['49-20=29']
Exploring Operation: 10*5=50, Resulting Numbers: [29, 50]
Generated Node #3: [29, 50] from Operation: 10*5=50
Current State: 21:[29, 50], Operations: ['49-20=29', '10*5=50']
Exploring Operation: 50-29=21, Resulting Numbers: [21]
21,21 equal: Goal Reached
| 4 |
[
8,
72,
28,
21
] | 66 | [
"8*21=168",
"168/28=6",
"72-6=66"
] | Current State: 66:[8, 72, 28, 21], Operations: []
Exploring Operation: 8*21=168, Resulting Numbers: [72, 28, 168]
Generated Node #2: [72, 28, 168] from Operation: 8*21=168
Current State: 66:[72, 28, 168], Operations: ['8*21=168']
Exploring Operation: 168/28=6, Resulting Numbers: [72, 6]
Generated Node #3: [72, 6] from Operation: 168/28=6
Current State: 66:[72, 6], Operations: ['8*21=168', '168/28=6']
Exploring Operation: 72-6=66, Resulting Numbers: [66]
66,66 equal: Goal Reached
| 4 |
[
69,
24,
24,
36
] | 36 | [
"24-24=0",
"69*0=0",
"36+0=36"
] | Current State: 36:[69, 24, 24, 36], Operations: []
Exploring Operation: 24-24=0, Resulting Numbers: [69, 36, 0]
Generated Node #2: [69, 36, 0] from Operation: 24-24=0
Current State: 36:[69, 36, 0], Operations: ['24-24=0']
Exploring Operation: 69*0=0, Resulting Numbers: [36, 0]
Generated Node #3: [36, 0] from Operation: 69*0=0
Current State: 36:[36, 0], Operations: ['24-24=0', '69*0=0']
Exploring Operation: 36+0=36, Resulting Numbers: [36]
36,36 equal: Goal Reached
| 4 |
[
7,
41,
2,
46
] | 24 | [
"41-7=34",
"46-34=12",
"2*12=24"
] | Current State: 24:[7, 41, 2, 46], Operations: []
Exploring Operation: 41-7=34, Resulting Numbers: [2, 46, 34]
Generated Node #2: [2, 46, 34] from Operation: 41-7=34
Current State: 24:[2, 46, 34], Operations: ['41-7=34']
Exploring Operation: 46-34=12, Resulting Numbers: [2, 12]
Generated Node #3: [2, 12] from Operation: 46-34=12
Current State: 24:[2, 12], Operations: ['41-7=34', '46-34=12']
Exploring Operation: 2*12=24, Resulting Numbers: [24]
24,24 equal: Goal Reached
| 4 |
[
27,
10,
4,
54
] | 32 | [
"54/27=2",
"10-2=8",
"4*8=32"
] | Current State: 32:[27, 10, 4, 54], Operations: []
Exploring Operation: 54/27=2, Resulting Numbers: [10, 4, 2]
Generated Node #2: [10, 4, 2] from Operation: 54/27=2
Current State: 32:[10, 4, 2], Operations: ['54/27=2']
Exploring Operation: 10-2=8, Resulting Numbers: [4, 8]
Generated Node #3: [4, 8] from Operation: 10-2=8
Current State: 32:[4, 8], Operations: ['54/27=2', '10-2=8']
Exploring Operation: 4*8=32, Resulting Numbers: [32]
32,32 equal: Goal Reached
| 4 |
[
53,
15,
63,
58
] | 17 | [
"53+63=116",
"116/58=2",
"15+2=17"
] | Current State: 17:[53, 15, 63, 58], Operations: []
Exploring Operation: 53+63=116, Resulting Numbers: [15, 58, 116]
Generated Node #2: [15, 58, 116] from Operation: 53+63=116
Current State: 17:[15, 58, 116], Operations: ['53+63=116']
Exploring Operation: 116/58=2, Resulting Numbers: [15, 2]
Generated Node #3: [15, 2] from Operation: 116/58=2
Current State: 17:[15, 2], Operations: ['53+63=116', '116/58=2']
Exploring Operation: 15+2=17, Resulting Numbers: [17]
17,17 equal: Goal Reached
| 4 |
[
2,
86,
70,
4
] | 27 | [
"2*86=172",
"172/4=43",
"70-43=27"
] | Current State: 27:[2, 86, 70, 4], Operations: []
Exploring Operation: 2*86=172, Resulting Numbers: [70, 4, 172]
Generated Node #2: [70, 4, 172] from Operation: 2*86=172
Current State: 27:[70, 4, 172], Operations: ['2*86=172']
Exploring Operation: 172/4=43, Resulting Numbers: [70, 43]
Generated Node #3: [70, 43] from Operation: 172/4=43
Current State: 27:[70, 43], Operations: ['2*86=172', '172/4=43']
Exploring Operation: 70-43=27, Resulting Numbers: [27]
27,27 equal: Goal Reached
| 4 |
[
7,
6,
17,
69
] | 51 | [
"7-6=1",
"69-17=52",
"52-1=51"
] | Current State: 51:[7, 6, 17, 69], Operations: []
Exploring Operation: 7-6=1, Resulting Numbers: [17, 69, 1]
Generated Node #2: [17, 69, 1] from Operation: 7-6=1
Current State: 51:[17, 69, 1], Operations: ['7-6=1']
Exploring Operation: 69-17=52, Resulting Numbers: [1, 52]
Generated Node #3: [1, 52] from Operation: 69-17=52
Current State: 51:[1, 52], Operations: ['7-6=1', '69-17=52']
Exploring Operation: 52-1=51, Resulting Numbers: [51]
51,51 equal: Goal Reached
| 4 |
[
26,
78,
76,
5
] | 61 | [
"78/26=3",
"5*3=15",
"76-15=61"
] | Current State: 61:[26, 78, 76, 5], Operations: []
Exploring Operation: 78/26=3, Resulting Numbers: [76, 5, 3]
Generated Node #2: [76, 5, 3] from Operation: 78/26=3
Current State: 61:[76, 5, 3], Operations: ['78/26=3']
Exploring Operation: 5*3=15, Resulting Numbers: [76, 15]
Generated Node #3: [76, 15] from Operation: 5*3=15
Current State: 61:[76, 15], Operations: ['78/26=3', '5*3=15']
Exploring Operation: 76-15=61, Resulting Numbers: [61]
61,61 equal: Goal Reached
| 4 |
[
11,
1,
87,
16
] | 91 | [
"11+1=12",
"87+16=103",
"103-12=91"
] | Current State: 91:[11, 1, 87, 16], Operations: []
Exploring Operation: 11+1=12, Resulting Numbers: [87, 16, 12]
Generated Node #2: [87, 16, 12] from Operation: 11+1=12
Current State: 91:[87, 16, 12], Operations: ['11+1=12']
Exploring Operation: 87+16=103, Resulting Numbers: [12, 103]
Generated Node #3: [12, 103] from Operation: 87+16=103
Current State: 91:[12, 103], Operations: ['11+1=12', '87+16=103']
Exploring Operation: 103-12=91, Resulting Numbers: [91]
91,91 equal: Goal Reached
| 4 |
[
88,
4,
92,
81
] | 73 | [
"88-4=84",
"92-81=11",
"84-11=73"
] | Current State: 73:[88, 4, 92, 81], Operations: []
Exploring Operation: 88-4=84, Resulting Numbers: [92, 81, 84]
Generated Node #2: [92, 81, 84] from Operation: 88-4=84
Current State: 73:[92, 81, 84], Operations: ['88-4=84']
Exploring Operation: 92-81=11, Resulting Numbers: [84, 11]
Generated Node #3: [84, 11] from Operation: 92-81=11
Current State: 73:[84, 11], Operations: ['88-4=84', '92-81=11']
Exploring Operation: 84-11=73, Resulting Numbers: [73]
73,73 equal: Goal Reached
| 4 |
[
37,
2,
33,
60
] | 17 | [
"37-33=4",
"60/4=15",
"2+15=17"
] | Current State: 17:[37, 2, 33, 60], Operations: []
Exploring Operation: 37-33=4, Resulting Numbers: [2, 60, 4]
Generated Node #2: [2, 60, 4] from Operation: 37-33=4
Current State: 17:[2, 60, 4], Operations: ['37-33=4']
Exploring Operation: 60/4=15, Resulting Numbers: [2, 15]
Generated Node #3: [2, 15] from Operation: 60/4=15
Current State: 17:[2, 15], Operations: ['37-33=4', '60/4=15']
Exploring Operation: 2+15=17, Resulting Numbers: [17]
17,17 equal: Goal Reached
| 4 |
[
19,
30,
56,
59
] | 71 | [
"59-56=3",
"30*3=90",
"90-19=71"
] | Current State: 71:[19, 30, 56, 59], Operations: []
Exploring Operation: 59-56=3, Resulting Numbers: [19, 30, 3]
Generated Node #2: [19, 30, 3] from Operation: 59-56=3
Current State: 71:[19, 30, 3], Operations: ['59-56=3']
Exploring Operation: 30*3=90, Resulting Numbers: [19, 90]
Generated Node #3: [19, 90] from Operation: 30*3=90
Current State: 71:[19, 90], Operations: ['59-56=3', '30*3=90']
Exploring Operation: 90-19=71, Resulting Numbers: [71]
71,71 equal: Goal Reached
| 4 |
[
30,
17,
3,
36
] | 37 | [
"30*3=90",
"17+36=53",
"90-53=37"
] | Current State: 37:[30, 17, 3, 36], Operations: []
Exploring Operation: 30*3=90, Resulting Numbers: [17, 36, 90]
Generated Node #2: [17, 36, 90] from Operation: 30*3=90
Current State: 37:[17, 36, 90], Operations: ['30*3=90']
Exploring Operation: 17+36=53, Resulting Numbers: [90, 53]
Generated Node #3: [90, 53] from Operation: 17+36=53
Current State: 37:[90, 53], Operations: ['30*3=90', '17+36=53']
Exploring Operation: 90-53=37, Resulting Numbers: [37]
37,37 equal: Goal Reached
| 4 |
[
51,
3,
12,
6
] | 60 | [
"51+3=54",
"12-6=6",
"54+6=60"
] | Current State: 60:[51, 3, 12, 6], Operations: []
Exploring Operation: 51+3=54, Resulting Numbers: [12, 6, 54]
Generated Node #2: [12, 6, 54] from Operation: 51+3=54
Current State: 60:[12, 6, 54], Operations: ['51+3=54']
Exploring Operation: 12-6=6, Resulting Numbers: [54, 6]
Generated Node #3: [54, 6] from Operation: 12-6=6
Current State: 60:[54, 6], Operations: ['51+3=54', '12-6=6']
Exploring Operation: 54+6=60, Resulting Numbers: [60]
60,60 equal: Goal Reached
| 4 |
[
12,
17,
36,
77
] | 36 | [
"17-12=5",
"77-36=41",
"41-5=36"
] | Current State: 36:[12, 17, 36, 77], Operations: []
Exploring Operation: 17-12=5, Resulting Numbers: [36, 77, 5]
Generated Node #2: [36, 77, 5] from Operation: 17-12=5
Current State: 36:[36, 77, 5], Operations: ['17-12=5']
Exploring Operation: 77-36=41, Resulting Numbers: [5, 41]
Generated Node #3: [5, 41] from Operation: 77-36=41
Current State: 36:[5, 41], Operations: ['17-12=5', '77-36=41']
Exploring Operation: 41-5=36, Resulting Numbers: [36]
36,36 equal: Goal Reached
| 4 |
[
23,
33,
7,
66
] | 95 | [
"33*66=2178",
"7+2178=2185",
"2185/23=95"
] | Current State: 95:[23, 33, 7, 66], Operations: []
Exploring Operation: 33*66=2178, Resulting Numbers: [23, 7, 2178]
Generated Node #2: [23, 7, 2178] from Operation: 33*66=2178
Current State: 95:[23, 7, 2178], Operations: ['33*66=2178']
Exploring Operation: 7+2178=2185, Resulting Numbers: [23, 2185]
Generated Node #3: [23, 2185] from Operation: 7+2178=2185
Current State: 95:[23, 2185], Operations: ['33*66=2178', '7+2178=2185']
Exploring Operation: 2185/23=95, Resulting Numbers: [95]
95,95 equal: Goal Reached
| 4 |
[
80,
47,
22,
18
] | 29 | [
"80-47=33",
"22-18=4",
"33-4=29"
] | Current State: 29:[80, 47, 22, 18], Operations: []
Exploring Operation: 80-47=33, Resulting Numbers: [22, 18, 33]
Generated Node #2: [22, 18, 33] from Operation: 80-47=33
Current State: 29:[22, 18, 33], Operations: ['80-47=33']
Exploring Operation: 22-18=4, Resulting Numbers: [33, 4]
Generated Node #3: [33, 4] from Operation: 22-18=4
Current State: 29:[33, 4], Operations: ['80-47=33', '22-18=4']
Exploring Operation: 33-4=29, Resulting Numbers: [29]
29,29 equal: Goal Reached
| 4 |
[
6,
3,
43,
20
] | 61 | [
"6/3=2",
"43+20=63",
"63-2=61"
] | Current State: 61:[6, 3, 43, 20], Operations: []
Exploring Operation: 6/3=2, Resulting Numbers: [43, 20, 2]
Generated Node #2: [43, 20, 2] from Operation: 6/3=2
Current State: 61:[43, 20, 2], Operations: ['6/3=2']
Exploring Operation: 43+20=63, Resulting Numbers: [2, 63]
Generated Node #3: [2, 63] from Operation: 43+20=63
Current State: 61:[2, 63], Operations: ['6/3=2', '43+20=63']
Exploring Operation: 63-2=61, Resulting Numbers: [61]
61,61 equal: Goal Reached
| 4 |
[
64,
50,
25,
71
] | 39 | [
"64*25=1600",
"1600/50=32",
"71-32=39"
] | Current State: 39:[64, 50, 25, 71], Operations: []
Exploring Operation: 64*25=1600, Resulting Numbers: [50, 71, 1600]
Generated Node #2: [50, 71, 1600] from Operation: 64*25=1600
Current State: 39:[50, 71, 1600], Operations: ['64*25=1600']
Exploring Operation: 1600/50=32, Resulting Numbers: [71, 32]
Generated Node #3: [71, 32] from Operation: 1600/50=32
Current State: 39:[71, 32], Operations: ['64*25=1600', '1600/50=32']
Exploring Operation: 71-32=39, Resulting Numbers: [39]
39,39 equal: Goal Reached
| 4 |
[
4,
36,
44,
68
] | 34 | [
"4*68=272",
"44-36=8",
"272/8=34"
] | Current State: 34:[4, 36, 44, 68], Operations: []
Exploring Operation: 4*68=272, Resulting Numbers: [36, 44, 272]
Generated Node #2: [36, 44, 272] from Operation: 4*68=272
Current State: 34:[36, 44, 272], Operations: ['4*68=272']
Exploring Operation: 44-36=8, Resulting Numbers: [272, 8]
Generated Node #3: [272, 8] from Operation: 44-36=8
Current State: 34:[272, 8], Operations: ['4*68=272', '44-36=8']
Exploring Operation: 272/8=34, Resulting Numbers: [34]
34,34 equal: Goal Reached
| 4 |
[
87,
58,
73,
6
] | 64 | [
"87*6=522",
"522/58=9",
"73-9=64"
] | Current State: 64:[87, 58, 73, 6], Operations: []
Exploring Operation: 87*6=522, Resulting Numbers: [58, 73, 522]
Generated Node #2: [58, 73, 522] from Operation: 87*6=522
Current State: 64:[58, 73, 522], Operations: ['87*6=522']
Exploring Operation: 522/58=9, Resulting Numbers: [73, 9]
Generated Node #3: [73, 9] from Operation: 522/58=9
Current State: 64:[73, 9], Operations: ['87*6=522', '522/58=9']
Exploring Operation: 73-9=64, Resulting Numbers: [64]
64,64 equal: Goal Reached
| 4 |
[
5,
6,
51,
5
] | 26 | [
"5*6=30",
"51+5=56",
"56-30=26"
] | Current State: 26:[5, 6, 51, 5], Operations: []
Exploring Operation: 5*6=30, Resulting Numbers: [51, 30]
Generated Node #2: [51, 30] from Operation: 5*6=30
Current State: 26:[51, 30], Operations: ['5*6=30']
Exploring Operation: 51+5=56, Resulting Numbers: [30, 56]
Generated Node #3: [30, 56] from Operation: 51+5=56
Current State: 26:[30, 56], Operations: ['5*6=30', '51+5=56']
Exploring Operation: 56-30=26, Resulting Numbers: [26]
26,26 equal: Goal Reached
| 4 |
[
15,
82,
11,
7
] | 20 | [
"15+82=97",
"11*7=77",
"97-77=20"
] | Current State: 20:[15, 82, 11, 7], Operations: []
Exploring Operation: 15+82=97, Resulting Numbers: [11, 7, 97]
Generated Node #2: [11, 7, 97] from Operation: 15+82=97
Current State: 20:[11, 7, 97], Operations: ['15+82=97']
Exploring Operation: 11*7=77, Resulting Numbers: [97, 77]
Generated Node #3: [97, 77] from Operation: 11*7=77
Current State: 20:[97, 77], Operations: ['15+82=97', '11*7=77']
Exploring Operation: 97-77=20, Resulting Numbers: [20]
20,20 equal: Goal Reached
| 4 |
[
43,
11,
41,
12
] | 35 | [
"43-41=2",
"12*2=24",
"11+24=35"
] | Current State: 35:[43, 11, 41, 12], Operations: []
Exploring Operation: 43-41=2, Resulting Numbers: [11, 12, 2]
Generated Node #2: [11, 12, 2] from Operation: 43-41=2
Current State: 35:[11, 12, 2], Operations: ['43-41=2']
Exploring Operation: 12*2=24, Resulting Numbers: [11, 24]
Generated Node #3: [11, 24] from Operation: 12*2=24
Current State: 35:[11, 24], Operations: ['43-41=2', '12*2=24']
Exploring Operation: 11+24=35, Resulting Numbers: [35]
35,35 equal: Goal Reached
| 4 |
[
6,
68,
49,
39
] | 64 | [
"6+68=74",
"49-39=10",
"74-10=64"
] | Current State: 64:[6, 68, 49, 39], Operations: []
Exploring Operation: 6+68=74, Resulting Numbers: [49, 39, 74]
Generated Node #2: [49, 39, 74] from Operation: 6+68=74
Current State: 64:[49, 39, 74], Operations: ['6+68=74']
Exploring Operation: 49-39=10, Resulting Numbers: [74, 10]
Generated Node #3: [74, 10] from Operation: 49-39=10
Current State: 64:[74, 10], Operations: ['6+68=74', '49-39=10']
Exploring Operation: 74-10=64, Resulting Numbers: [64]
64,64 equal: Goal Reached
| 4 |
[
95,
29,
72,
34
] | 91 | [
"34-29=5",
"95/5=19",
"72+19=91"
] | Current State: 91:[95, 29, 72, 34], Operations: []
Exploring Operation: 34-29=5, Resulting Numbers: [95, 72, 5]
Generated Node #2: [95, 72, 5] from Operation: 34-29=5
Current State: 91:[95, 72, 5], Operations: ['34-29=5']
Exploring Operation: 95/5=19, Resulting Numbers: [72, 19]
Generated Node #3: [72, 19] from Operation: 95/5=19
Current State: 91:[72, 19], Operations: ['34-29=5', '95/5=19']
Exploring Operation: 72+19=91, Resulting Numbers: [91]
91,91 equal: Goal Reached
| 4 |
[
94,
57,
46,
34
] | 47 | [
"57-34=23",
"94*23=2162",
"2162/46=47"
] | Current State: 47:[94, 57, 46, 34], Operations: []
Exploring Operation: 57-34=23, Resulting Numbers: [94, 46, 23]
Generated Node #2: [94, 46, 23] from Operation: 57-34=23
Current State: 47:[94, 46, 23], Operations: ['57-34=23']
Exploring Operation: 94*23=2162, Resulting Numbers: [46, 2162]
Generated Node #3: [46, 2162] from Operation: 94*23=2162
Current State: 47:[46, 2162], Operations: ['57-34=23', '94*23=2162']
Exploring Operation: 2162/46=47, Resulting Numbers: [47]
47,47 equal: Goal Reached
| 4 |
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