nums listlengths 4 4 | target int64 10 100 | solution listlengths 3 3 | optimal_path stringlengths 282 529 | start_size int64 4 4 |
|---|---|---|---|---|
[
70,
32,
30,
34
] | 55 | [
"34-32=2",
"30/2=15",
"70-15=55"
] | Current State: 55:[70, 32, 30, 34], Operations: []
Exploring Operation: 34-32=2, Resulting Numbers: [70, 30, 2]
Generated Node #2: [70, 30, 2] from Operation: 34-32=2
Current State: 55:[70, 30, 2], Operations: ['34-32=2']
Exploring Operation: 30/2=15, Resulting Numbers: [70, 15]
Generated Node #3: [70, 15] from Operation: 30/2=15
Current State: 55:[70, 15], Operations: ['34-32=2', '30/2=15']
Exploring Operation: 70-15=55, Resulting Numbers: [55]
55,55 equal: Goal Reached
| 4 |
[
2,
8,
61,
4
] | 90 | [
"2*61=122",
"8*4=32",
"122-32=90"
] | Current State: 90:[2, 8, 61, 4], Operations: []
Exploring Operation: 2*61=122, Resulting Numbers: [8, 4, 122]
Generated Node #2: [8, 4, 122] from Operation: 2*61=122
Current State: 90:[8, 4, 122], Operations: ['2*61=122']
Exploring Operation: 8*4=32, Resulting Numbers: [122, 32]
Generated Node #3: [122, 32] from Operation: 8*4=32
Current State: 90:[122, 32], Operations: ['2*61=122', '8*4=32']
Exploring Operation: 122-32=90, Resulting Numbers: [90]
90,90 equal: Goal Reached
| 4 |
[
31,
1,
62,
50
] | 49 | [
"62/31=2",
"1+50=51",
"51-2=49"
] | Current State: 49:[31, 1, 62, 50], Operations: []
Exploring Operation: 62/31=2, Resulting Numbers: [1, 50, 2]
Generated Node #2: [1, 50, 2] from Operation: 62/31=2
Current State: 49:[1, 50, 2], Operations: ['62/31=2']
Exploring Operation: 1+50=51, Resulting Numbers: [2, 51]
Generated Node #3: [2, 51] from Operation: 1+50=51
Current State: 49:[2, 51], Operations: ['62/31=2', '1+50=51']
Exploring Operation: 51-2=49, Resulting Numbers: [49]
49,49 equal: Goal Reached
| 4 |
[
58,
1,
77,
30
] | 11 | [
"58*1=58",
"77-30=47",
"58-47=11"
] | Current State: 11:[58, 1, 77, 30], Operations: []
Exploring Operation: 58*1=58, Resulting Numbers: [77, 30, 58]
Generated Node #2: [77, 30, 58] from Operation: 58*1=58
Current State: 11:[77, 30, 58], Operations: ['58*1=58']
Exploring Operation: 77-30=47, Resulting Numbers: [58, 47]
Generated Node #3: [58, 47] from Operation: 77-30=47
Current State: 11:[58, 47], Operations: ['58*1=58', '77-30=47']
Exploring Operation: 58-47=11, Resulting Numbers: [11]
11,11 equal: Goal Reached
| 4 |
[
42,
27,
30,
81
] | 69 | [
"42+30=72",
"81/27=3",
"72-3=69"
] | Current State: 69:[42, 27, 30, 81], Operations: []
Exploring Operation: 42+30=72, Resulting Numbers: [27, 81, 72]
Generated Node #2: [27, 81, 72] from Operation: 42+30=72
Current State: 69:[27, 81, 72], Operations: ['42+30=72']
Exploring Operation: 81/27=3, Resulting Numbers: [72, 3]
Generated Node #3: [72, 3] from Operation: 81/27=3
Current State: 69:[72, 3], Operations: ['42+30=72', '81/27=3']
Exploring Operation: 72-3=69, Resulting Numbers: [69]
69,69 equal: Goal Reached
| 4 |
[
73,
37,
65,
36
] | 64 | [
"73-37=36",
"36/36=1",
"65-1=64"
] | Current State: 64:[73, 37, 65, 36], Operations: []
Exploring Operation: 73-37=36, Resulting Numbers: [65, 36, 36]
Generated Node #2: [65, 36, 36] from Operation: 73-37=36
Current State: 64:[65, 36, 36], Operations: ['73-37=36']
Exploring Operation: 36/36=1, Resulting Numbers: [65, 1]
Generated Node #3: [65, 1] from Operation: 36/36=1
Current State: 64:[65, 1], Operations: ['73-37=36', '36/36=1']
Exploring Operation: 65-1=64, Resulting Numbers: [64]
64,64 equal: Goal Reached
| 4 |
[
37,
78,
74,
16
] | 96 | [
"74/37=2",
"78+16=94",
"2+94=96"
] | Current State: 96:[37, 78, 74, 16], Operations: []
Exploring Operation: 74/37=2, Resulting Numbers: [78, 16, 2]
Generated Node #2: [78, 16, 2] from Operation: 74/37=2
Current State: 96:[78, 16, 2], Operations: ['74/37=2']
Exploring Operation: 78+16=94, Resulting Numbers: [2, 94]
Generated Node #3: [2, 94] from Operation: 78+16=94
Current State: 96:[2, 94], Operations: ['74/37=2', '78+16=94']
Exploring Operation: 2+94=96, Resulting Numbers: [96]
96,96 equal: Goal Reached
| 4 |
[
51,
33,
82,
65
] | 99 | [
"51*33=1683",
"82-65=17",
"1683/17=99"
] | Current State: 99:[51, 33, 82, 65], Operations: []
Exploring Operation: 51*33=1683, Resulting Numbers: [82, 65, 1683]
Generated Node #2: [82, 65, 1683] from Operation: 51*33=1683
Current State: 99:[82, 65, 1683], Operations: ['51*33=1683']
Exploring Operation: 82-65=17, Resulting Numbers: [1683, 17]
Generated Node #3: [1683, 17] from Operation: 82-65=17
Current State: 99:[1683, 17], Operations: ['51*33=1683', '82-65=17']
Exploring Operation: 1683/17=99, Resulting Numbers: [99]
99,99 equal: Goal Reached
| 4 |
[
90,
5,
57,
96
] | 58 | [
"90+5=95",
"57+96=153",
"153-95=58"
] | Current State: 58:[90, 5, 57, 96], Operations: []
Exploring Operation: 90+5=95, Resulting Numbers: [57, 96, 95]
Generated Node #2: [57, 96, 95] from Operation: 90+5=95
Current State: 58:[57, 96, 95], Operations: ['90+5=95']
Exploring Operation: 57+96=153, Resulting Numbers: [95, 153]
Generated Node #3: [95, 153] from Operation: 57+96=153
Current State: 58:[95, 153], Operations: ['90+5=95', '57+96=153']
Exploring Operation: 153-95=58, Resulting Numbers: [58]
58,58 equal: Goal Reached
| 4 |
[
42,
41,
32,
3
] | 45 | [
"41-32=9",
"9/3=3",
"42+3=45"
] | Current State: 45:[42, 41, 32, 3], Operations: []
Exploring Operation: 41-32=9, Resulting Numbers: [42, 3, 9]
Generated Node #2: [42, 3, 9] from Operation: 41-32=9
Current State: 45:[42, 3, 9], Operations: ['41-32=9']
Exploring Operation: 9/3=3, Resulting Numbers: [42, 3]
Generated Node #3: [42, 3] from Operation: 9/3=3
Current State: 45:[42, 3], Operations: ['41-32=9', '9/3=3']
Exploring Operation: 42+3=45, Resulting Numbers: [45]
45,45 equal: Goal Reached
| 4 |
[
48,
62,
26,
59
] | 77 | [
"48+62=110",
"59-26=33",
"110-33=77"
] | Current State: 77:[48, 62, 26, 59], Operations: []
Exploring Operation: 48+62=110, Resulting Numbers: [26, 59, 110]
Generated Node #2: [26, 59, 110] from Operation: 48+62=110
Current State: 77:[26, 59, 110], Operations: ['48+62=110']
Exploring Operation: 59-26=33, Resulting Numbers: [110, 33]
Generated Node #3: [110, 33] from Operation: 59-26=33
Current State: 77:[110, 33], Operations: ['48+62=110', '59-26=33']
Exploring Operation: 110-33=77, Resulting Numbers: [77]
77,77 equal: Goal Reached
| 4 |
[
80,
1,
69,
80
] | 90 | [
"80-1=79",
"80-69=11",
"79+11=90"
] | Current State: 90:[80, 1, 69, 80], Operations: []
Exploring Operation: 80-1=79, Resulting Numbers: [69, 79]
Generated Node #2: [69, 79] from Operation: 80-1=79
Current State: 90:[69, 79], Operations: ['80-1=79']
Exploring Operation: 80-69=11, Resulting Numbers: [79, 11]
Generated Node #3: [79, 11] from Operation: 80-69=11
Current State: 90:[79, 11], Operations: ['80-1=79', '80-69=11']
Exploring Operation: 79+11=90, Resulting Numbers: [90]
90,90 equal: Goal Reached
| 4 |
[
15,
60,
48,
16
] | 68 | [
"60/15=4",
"48+16=64",
"4+64=68"
] | Current State: 68:[15, 60, 48, 16], Operations: []
Exploring Operation: 60/15=4, Resulting Numbers: [48, 16, 4]
Generated Node #2: [48, 16, 4] from Operation: 60/15=4
Current State: 68:[48, 16, 4], Operations: ['60/15=4']
Exploring Operation: 48+16=64, Resulting Numbers: [4, 64]
Generated Node #3: [4, 64] from Operation: 48+16=64
Current State: 68:[4, 64], Operations: ['60/15=4', '48+16=64']
Exploring Operation: 4+64=68, Resulting Numbers: [68]
68,68 equal: Goal Reached
| 4 |
[
74,
77,
63,
14
] | 21 | [
"77-74=3",
"14*3=42",
"63-42=21"
] | Current State: 21:[74, 77, 63, 14], Operations: []
Exploring Operation: 77-74=3, Resulting Numbers: [63, 14, 3]
Generated Node #2: [63, 14, 3] from Operation: 77-74=3
Current State: 21:[63, 14, 3], Operations: ['77-74=3']
Exploring Operation: 14*3=42, Resulting Numbers: [63, 42]
Generated Node #3: [63, 42] from Operation: 14*3=42
Current State: 21:[63, 42], Operations: ['77-74=3', '14*3=42']
Exploring Operation: 63-42=21, Resulting Numbers: [21]
21,21 equal: Goal Reached
| 4 |
[
87,
1,
5,
37
] | 97 | [
"87+1=88",
"5*37=185",
"185-88=97"
] | Current State: 97:[87, 1, 5, 37], Operations: []
Exploring Operation: 87+1=88, Resulting Numbers: [5, 37, 88]
Generated Node #2: [5, 37, 88] from Operation: 87+1=88
Current State: 97:[5, 37, 88], Operations: ['87+1=88']
Exploring Operation: 5*37=185, Resulting Numbers: [88, 185]
Generated Node #3: [88, 185] from Operation: 5*37=185
Current State: 97:[88, 185], Operations: ['87+1=88', '5*37=185']
Exploring Operation: 185-88=97, Resulting Numbers: [97]
97,97 equal: Goal Reached
| 4 |
[
6,
76,
74,
28
] | 68 | [
"6+28=34",
"76-74=2",
"34*2=68"
] | Current State: 68:[6, 76, 74, 28], Operations: []
Exploring Operation: 6+28=34, Resulting Numbers: [76, 74, 34]
Generated Node #2: [76, 74, 34] from Operation: 6+28=34
Current State: 68:[76, 74, 34], Operations: ['6+28=34']
Exploring Operation: 76-74=2, Resulting Numbers: [34, 2]
Generated Node #3: [34, 2] from Operation: 76-74=2
Current State: 68:[34, 2], Operations: ['6+28=34', '76-74=2']
Exploring Operation: 34*2=68, Resulting Numbers: [68]
68,68 equal: Goal Reached
| 4 |
[
86,
58,
86,
68
] | 58 | [
"86-86=0",
"68*0=0",
"58+0=58"
] | Current State: 58:[86, 58, 86, 68], Operations: []
Exploring Operation: 86-86=0, Resulting Numbers: [58, 68, 0]
Generated Node #2: [58, 68, 0] from Operation: 86-86=0
Current State: 58:[58, 68, 0], Operations: ['86-86=0']
Exploring Operation: 68*0=0, Resulting Numbers: [58, 0]
Generated Node #3: [58, 0] from Operation: 68*0=0
Current State: 58:[58, 0], Operations: ['86-86=0', '68*0=0']
Exploring Operation: 58+0=58, Resulting Numbers: [58]
58,58 equal: Goal Reached
| 4 |
[
52,
73,
63,
35
] | 97 | [
"52+73=125",
"63-35=28",
"125-28=97"
] | Current State: 97:[52, 73, 63, 35], Operations: []
Exploring Operation: 52+73=125, Resulting Numbers: [63, 35, 125]
Generated Node #2: [63, 35, 125] from Operation: 52+73=125
Current State: 97:[63, 35, 125], Operations: ['52+73=125']
Exploring Operation: 63-35=28, Resulting Numbers: [125, 28]
Generated Node #3: [125, 28] from Operation: 63-35=28
Current State: 97:[125, 28], Operations: ['52+73=125', '63-35=28']
Exploring Operation: 125-28=97, Resulting Numbers: [97]
97,97 equal: Goal Reached
| 4 |
[
13,
22,
19,
64
] | 80 | [
"13+22=35",
"64-19=45",
"35+45=80"
] | Current State: 80:[13, 22, 19, 64], Operations: []
Exploring Operation: 13+22=35, Resulting Numbers: [19, 64, 35]
Generated Node #2: [19, 64, 35] from Operation: 13+22=35
Current State: 80:[19, 64, 35], Operations: ['13+22=35']
Exploring Operation: 64-19=45, Resulting Numbers: [35, 45]
Generated Node #3: [35, 45] from Operation: 64-19=45
Current State: 80:[35, 45], Operations: ['13+22=35', '64-19=45']
Exploring Operation: 35+45=80, Resulting Numbers: [80]
80,80 equal: Goal Reached
| 4 |
[
11,
20,
36,
43
] | 88 | [
"20-11=9",
"36+43=79",
"9+79=88"
] | Current State: 88:[11, 20, 36, 43], Operations: []
Exploring Operation: 20-11=9, Resulting Numbers: [36, 43, 9]
Generated Node #2: [36, 43, 9] from Operation: 20-11=9
Current State: 88:[36, 43, 9], Operations: ['20-11=9']
Exploring Operation: 36+43=79, Resulting Numbers: [9, 79]
Generated Node #3: [9, 79] from Operation: 36+43=79
Current State: 88:[9, 79], Operations: ['20-11=9', '36+43=79']
Exploring Operation: 9+79=88, Resulting Numbers: [88]
88,88 equal: Goal Reached
| 4 |
[
13,
7,
1,
24
] | 19 | [
"13-7=6",
"1+24=25",
"25-6=19"
] | Current State: 19:[13, 7, 1, 24], Operations: []
Exploring Operation: 13-7=6, Resulting Numbers: [1, 24, 6]
Generated Node #2: [1, 24, 6] from Operation: 13-7=6
Current State: 19:[1, 24, 6], Operations: ['13-7=6']
Exploring Operation: 1+24=25, Resulting Numbers: [6, 25]
Generated Node #3: [6, 25] from Operation: 1+24=25
Current State: 19:[6, 25], Operations: ['13-7=6', '1+24=25']
Exploring Operation: 25-6=19, Resulting Numbers: [19]
19,19 equal: Goal Reached
| 4 |
[
28,
36,
45,
32
] | 41 | [
"36-28=8",
"32/8=4",
"45-4=41"
] | Current State: 41:[28, 36, 45, 32], Operations: []
Exploring Operation: 36-28=8, Resulting Numbers: [45, 32, 8]
Generated Node #2: [45, 32, 8] from Operation: 36-28=8
Current State: 41:[45, 32, 8], Operations: ['36-28=8']
Exploring Operation: 32/8=4, Resulting Numbers: [45, 4]
Generated Node #3: [45, 4] from Operation: 32/8=4
Current State: 41:[45, 4], Operations: ['36-28=8', '32/8=4']
Exploring Operation: 45-4=41, Resulting Numbers: [41]
41,41 equal: Goal Reached
| 4 |
[
71,
28,
68,
8
] | 23 | [
"71+28=99",
"68+8=76",
"99-76=23"
] | Current State: 23:[71, 28, 68, 8], Operations: []
Exploring Operation: 71+28=99, Resulting Numbers: [68, 8, 99]
Generated Node #2: [68, 8, 99] from Operation: 71+28=99
Current State: 23:[68, 8, 99], Operations: ['71+28=99']
Exploring Operation: 68+8=76, Resulting Numbers: [99, 76]
Generated Node #3: [99, 76] from Operation: 68+8=76
Current State: 23:[99, 76], Operations: ['71+28=99', '68+8=76']
Exploring Operation: 99-76=23, Resulting Numbers: [23]
23,23 equal: Goal Reached
| 4 |
[
40,
87,
2,
46
] | 70 | [
"87-40=47",
"46/2=23",
"47+23=70"
] | Current State: 70:[40, 87, 2, 46], Operations: []
Exploring Operation: 87-40=47, Resulting Numbers: [2, 46, 47]
Generated Node #2: [2, 46, 47] from Operation: 87-40=47
Current State: 70:[2, 46, 47], Operations: ['87-40=47']
Exploring Operation: 46/2=23, Resulting Numbers: [47, 23]
Generated Node #3: [47, 23] from Operation: 46/2=23
Current State: 70:[47, 23], Operations: ['87-40=47', '46/2=23']
Exploring Operation: 47+23=70, Resulting Numbers: [70]
70,70 equal: Goal Reached
| 4 |
[
11,
36,
50,
20
] | 18 | [
"36-11=25",
"50/25=2",
"20-2=18"
] | Current State: 18:[11, 36, 50, 20], Operations: []
Exploring Operation: 36-11=25, Resulting Numbers: [50, 20, 25]
Generated Node #2: [50, 20, 25] from Operation: 36-11=25
Current State: 18:[50, 20, 25], Operations: ['36-11=25']
Exploring Operation: 50/25=2, Resulting Numbers: [20, 2]
Generated Node #3: [20, 2] from Operation: 50/25=2
Current State: 18:[20, 2], Operations: ['36-11=25', '50/25=2']
Exploring Operation: 20-2=18, Resulting Numbers: [18]
18,18 equal: Goal Reached
| 4 |
[
14,
16,
39,
13
] | 26 | [
"16-14=2",
"39+13=52",
"52/2=26"
] | Current State: 26:[14, 16, 39, 13], Operations: []
Exploring Operation: 16-14=2, Resulting Numbers: [39, 13, 2]
Generated Node #2: [39, 13, 2] from Operation: 16-14=2
Current State: 26:[39, 13, 2], Operations: ['16-14=2']
Exploring Operation: 39+13=52, Resulting Numbers: [2, 52]
Generated Node #3: [2, 52] from Operation: 39+13=52
Current State: 26:[2, 52], Operations: ['16-14=2', '39+13=52']
Exploring Operation: 52/2=26, Resulting Numbers: [26]
26,26 equal: Goal Reached
| 4 |
[
4,
55,
51,
54
] | 67 | [
"54-51=3",
"4*3=12",
"55+12=67"
] | Current State: 67:[4, 55, 51, 54], Operations: []
Exploring Operation: 54-51=3, Resulting Numbers: [4, 55, 3]
Generated Node #2: [4, 55, 3] from Operation: 54-51=3
Current State: 67:[4, 55, 3], Operations: ['54-51=3']
Exploring Operation: 4*3=12, Resulting Numbers: [55, 12]
Generated Node #3: [55, 12] from Operation: 4*3=12
Current State: 67:[55, 12], Operations: ['54-51=3', '4*3=12']
Exploring Operation: 55+12=67, Resulting Numbers: [67]
67,67 equal: Goal Reached
| 4 |
[
9,
65,
58,
19
] | 95 | [
"65-9=56",
"58-19=39",
"56+39=95"
] | Current State: 95:[9, 65, 58, 19], Operations: []
Exploring Operation: 65-9=56, Resulting Numbers: [58, 19, 56]
Generated Node #2: [58, 19, 56] from Operation: 65-9=56
Current State: 95:[58, 19, 56], Operations: ['65-9=56']
Exploring Operation: 58-19=39, Resulting Numbers: [56, 39]
Generated Node #3: [56, 39] from Operation: 58-19=39
Current State: 95:[56, 39], Operations: ['65-9=56', '58-19=39']
Exploring Operation: 56+39=95, Resulting Numbers: [95]
95,95 equal: Goal Reached
| 4 |
[
96,
13,
30,
17
] | 24 | [
"17-13=4",
"30*4=120",
"120-96=24"
] | Current State: 24:[96, 13, 30, 17], Operations: []
Exploring Operation: 17-13=4, Resulting Numbers: [96, 30, 4]
Generated Node #2: [96, 30, 4] from Operation: 17-13=4
Current State: 24:[96, 30, 4], Operations: ['17-13=4']
Exploring Operation: 30*4=120, Resulting Numbers: [96, 120]
Generated Node #3: [96, 120] from Operation: 30*4=120
Current State: 24:[96, 120], Operations: ['17-13=4', '30*4=120']
Exploring Operation: 120-96=24, Resulting Numbers: [24]
24,24 equal: Goal Reached
| 4 |
[
17,
94,
35,
79
] | 33 | [
"94-17=77",
"79-35=44",
"77-44=33"
] | Current State: 33:[17, 94, 35, 79], Operations: []
Exploring Operation: 94-17=77, Resulting Numbers: [35, 79, 77]
Generated Node #2: [35, 79, 77] from Operation: 94-17=77
Current State: 33:[35, 79, 77], Operations: ['94-17=77']
Exploring Operation: 79-35=44, Resulting Numbers: [77, 44]
Generated Node #3: [77, 44] from Operation: 79-35=44
Current State: 33:[77, 44], Operations: ['94-17=77', '79-35=44']
Exploring Operation: 77-44=33, Resulting Numbers: [33]
33,33 equal: Goal Reached
| 4 |
[
55,
55,
42,
49
] | 91 | [
"55-55=0",
"42+49=91",
"0+91=91"
] | Current State: 91:[55, 55, 42, 49], Operations: []
Exploring Operation: 55-55=0, Resulting Numbers: [42, 49, 0]
Generated Node #2: [42, 49, 0] from Operation: 55-55=0
Current State: 91:[42, 49, 0], Operations: ['55-55=0']
Exploring Operation: 42+49=91, Resulting Numbers: [0, 91]
Generated Node #3: [0, 91] from Operation: 42+49=91
Current State: 91:[0, 91], Operations: ['55-55=0', '42+49=91']
Exploring Operation: 0+91=91, Resulting Numbers: [91]
91,91 equal: Goal Reached
| 4 |
[
13,
20,
16,
36
] | 58 | [
"20*36=720",
"720/16=45",
"13+45=58"
] | Current State: 58:[13, 20, 16, 36], Operations: []
Exploring Operation: 20*36=720, Resulting Numbers: [13, 16, 720]
Generated Node #2: [13, 16, 720] from Operation: 20*36=720
Current State: 58:[13, 16, 720], Operations: ['20*36=720']
Exploring Operation: 720/16=45, Resulting Numbers: [13, 45]
Generated Node #3: [13, 45] from Operation: 720/16=45
Current State: 58:[13, 45], Operations: ['20*36=720', '720/16=45']
Exploring Operation: 13+45=58, Resulting Numbers: [58]
58,58 equal: Goal Reached
| 4 |
[
34,
68,
25,
23
] | 96 | [
"68/34=2",
"25+23=48",
"2*48=96"
] | Current State: 96:[34, 68, 25, 23], Operations: []
Exploring Operation: 68/34=2, Resulting Numbers: [25, 23, 2]
Generated Node #2: [25, 23, 2] from Operation: 68/34=2
Current State: 96:[25, 23, 2], Operations: ['68/34=2']
Exploring Operation: 25+23=48, Resulting Numbers: [2, 48]
Generated Node #3: [2, 48] from Operation: 25+23=48
Current State: 96:[2, 48], Operations: ['68/34=2', '25+23=48']
Exploring Operation: 2*48=96, Resulting Numbers: [96]
96,96 equal: Goal Reached
| 4 |
[
5,
26,
25,
47
] | 41 | [
"5+26=31",
"25+47=72",
"72-31=41"
] | Current State: 41:[5, 26, 25, 47], Operations: []
Exploring Operation: 5+26=31, Resulting Numbers: [25, 47, 31]
Generated Node #2: [25, 47, 31] from Operation: 5+26=31
Current State: 41:[25, 47, 31], Operations: ['5+26=31']
Exploring Operation: 25+47=72, Resulting Numbers: [31, 72]
Generated Node #3: [31, 72] from Operation: 25+47=72
Current State: 41:[31, 72], Operations: ['5+26=31', '25+47=72']
Exploring Operation: 72-31=41, Resulting Numbers: [41]
41,41 equal: Goal Reached
| 4 |
[
63,
23,
4,
5
] | 86 | [
"63+23=86",
"5-4=1",
"86*1=86"
] | Current State: 86:[63, 23, 4, 5], Operations: []
Exploring Operation: 63+23=86, Resulting Numbers: [4, 5, 86]
Generated Node #2: [4, 5, 86] from Operation: 63+23=86
Current State: 86:[4, 5, 86], Operations: ['63+23=86']
Exploring Operation: 5-4=1, Resulting Numbers: [86, 1]
Generated Node #3: [86, 1] from Operation: 5-4=1
Current State: 86:[86, 1], Operations: ['63+23=86', '5-4=1']
Exploring Operation: 86*1=86, Resulting Numbers: [86]
86,86 equal: Goal Reached
| 4 |
[
87,
61,
51,
70
] | 80 | [
"61-51=10",
"70/10=7",
"87-7=80"
] | Current State: 80:[87, 61, 51, 70], Operations: []
Exploring Operation: 61-51=10, Resulting Numbers: [87, 70, 10]
Generated Node #2: [87, 70, 10] from Operation: 61-51=10
Current State: 80:[87, 70, 10], Operations: ['61-51=10']
Exploring Operation: 70/10=7, Resulting Numbers: [87, 7]
Generated Node #3: [87, 7] from Operation: 70/10=7
Current State: 80:[87, 7], Operations: ['61-51=10', '70/10=7']
Exploring Operation: 87-7=80, Resulting Numbers: [80]
80,80 equal: Goal Reached
| 4 |
[
39,
22,
71,
2
] | 38 | [
"71-39=32",
"32/2=16",
"22+16=38"
] | Current State: 38:[39, 22, 71, 2], Operations: []
Exploring Operation: 71-39=32, Resulting Numbers: [22, 2, 32]
Generated Node #2: [22, 2, 32] from Operation: 71-39=32
Current State: 38:[22, 2, 32], Operations: ['71-39=32']
Exploring Operation: 32/2=16, Resulting Numbers: [22, 16]
Generated Node #3: [22, 16] from Operation: 32/2=16
Current State: 38:[22, 16], Operations: ['71-39=32', '32/2=16']
Exploring Operation: 22+16=38, Resulting Numbers: [38]
38,38 equal: Goal Reached
| 4 |
[
57,
50,
28,
50
] | 28 | [
"57-28=29",
"50/50=1",
"29-1=28"
] | Current State: 28:[57, 50, 28, 50], Operations: []
Exploring Operation: 57-28=29, Resulting Numbers: [50, 50, 29]
Generated Node #2: [50, 50, 29] from Operation: 57-28=29
Current State: 28:[50, 50, 29], Operations: ['57-28=29']
Exploring Operation: 50/50=1, Resulting Numbers: [29, 1]
Generated Node #3: [29, 1] from Operation: 50/50=1
Current State: 28:[29, 1], Operations: ['57-28=29', '50/50=1']
Exploring Operation: 29-1=28, Resulting Numbers: [28]
28,28 equal: Goal Reached
| 4 |
[
65,
72,
29,
4
] | 21 | [
"65+72=137",
"29*4=116",
"137-116=21"
] | Current State: 21:[65, 72, 29, 4], Operations: []
Exploring Operation: 65+72=137, Resulting Numbers: [29, 4, 137]
Generated Node #2: [29, 4, 137] from Operation: 65+72=137
Current State: 21:[29, 4, 137], Operations: ['65+72=137']
Exploring Operation: 29*4=116, Resulting Numbers: [137, 116]
Generated Node #3: [137, 116] from Operation: 29*4=116
Current State: 21:[137, 116], Operations: ['65+72=137', '29*4=116']
Exploring Operation: 137-116=21, Resulting Numbers: [21]
21,21 equal: Goal Reached
| 4 |
[
74,
80,
11,
47
] | 52 | [
"80-74=6",
"11+47=58",
"58-6=52"
] | Current State: 52:[74, 80, 11, 47], Operations: []
Exploring Operation: 80-74=6, Resulting Numbers: [11, 47, 6]
Generated Node #2: [11, 47, 6] from Operation: 80-74=6
Current State: 52:[11, 47, 6], Operations: ['80-74=6']
Exploring Operation: 11+47=58, Resulting Numbers: [6, 58]
Generated Node #3: [6, 58] from Operation: 11+47=58
Current State: 52:[6, 58], Operations: ['80-74=6', '11+47=58']
Exploring Operation: 58-6=52, Resulting Numbers: [52]
52,52 equal: Goal Reached
| 4 |
[
8,
5,
47,
47
] | 94 | [
"8-5=3",
"47*3=141",
"141-47=94"
] | Current State: 94:[8, 5, 47, 47], Operations: []
Exploring Operation: 8-5=3, Resulting Numbers: [47, 47, 3]
Generated Node #2: [47, 47, 3] from Operation: 8-5=3
Current State: 94:[47, 47, 3], Operations: ['8-5=3']
Exploring Operation: 47*3=141, Resulting Numbers: [141]
141,94 equal: Goal Reached
Exploring Operation: 141-47=94, Resulting Numbers: [94]
94,94 equal: Goal Reached
| 4 |
[
75,
19,
18,
77
] | 74 | [
"75-18=57",
"57/19=3",
"77-3=74"
] | Current State: 74:[75, 19, 18, 77], Operations: []
Exploring Operation: 75-18=57, Resulting Numbers: [19, 77, 57]
Generated Node #2: [19, 77, 57] from Operation: 75-18=57
Current State: 74:[19, 77, 57], Operations: ['75-18=57']
Exploring Operation: 57/19=3, Resulting Numbers: [77, 3]
Generated Node #3: [77, 3] from Operation: 57/19=3
Current State: 74:[77, 3], Operations: ['75-18=57', '57/19=3']
Exploring Operation: 77-3=74, Resulting Numbers: [74]
74,74 equal: Goal Reached
| 4 |
[
48,
28,
15,
75
] | 16 | [
"48+28=76",
"75-15=60",
"76-60=16"
] | Current State: 16:[48, 28, 15, 75], Operations: []
Exploring Operation: 48+28=76, Resulting Numbers: [15, 75, 76]
Generated Node #2: [15, 75, 76] from Operation: 48+28=76
Current State: 16:[15, 75, 76], Operations: ['48+28=76']
Exploring Operation: 75-15=60, Resulting Numbers: [76, 60]
Generated Node #3: [76, 60] from Operation: 75-15=60
Current State: 16:[76, 60], Operations: ['48+28=76', '75-15=60']
Exploring Operation: 76-60=16, Resulting Numbers: [16]
16,16 equal: Goal Reached
| 4 |
[
50,
77,
82,
13
] | 58 | [
"50+77=127",
"82-13=69",
"127-69=58"
] | Current State: 58:[50, 77, 82, 13], Operations: []
Exploring Operation: 50+77=127, Resulting Numbers: [82, 13, 127]
Generated Node #2: [82, 13, 127] from Operation: 50+77=127
Current State: 58:[82, 13, 127], Operations: ['50+77=127']
Exploring Operation: 82-13=69, Resulting Numbers: [127, 69]
Generated Node #3: [127, 69] from Operation: 82-13=69
Current State: 58:[127, 69], Operations: ['50+77=127', '82-13=69']
Exploring Operation: 127-69=58, Resulting Numbers: [58]
58,58 equal: Goal Reached
| 4 |
[
51,
2,
82,
86
] | 90 | [
"51+82=133",
"86/2=43",
"133-43=90"
] | Current State: 90:[51, 2, 82, 86], Operations: []
Exploring Operation: 51+82=133, Resulting Numbers: [2, 86, 133]
Generated Node #2: [2, 86, 133] from Operation: 51+82=133
Current State: 90:[2, 86, 133], Operations: ['51+82=133']
Exploring Operation: 86/2=43, Resulting Numbers: [133, 43]
Generated Node #3: [133, 43] from Operation: 86/2=43
Current State: 90:[133, 43], Operations: ['51+82=133', '86/2=43']
Exploring Operation: 133-43=90, Resulting Numbers: [90]
90,90 equal: Goal Reached
| 4 |
[
34,
17,
14,
49
] | 70 | [
"34/17=2",
"49-14=35",
"2*35=70"
] | Current State: 70:[34, 17, 14, 49], Operations: []
Exploring Operation: 34/17=2, Resulting Numbers: [14, 49, 2]
Generated Node #2: [14, 49, 2] from Operation: 34/17=2
Current State: 70:[14, 49, 2], Operations: ['34/17=2']
Exploring Operation: 49-14=35, Resulting Numbers: [2, 35]
Generated Node #3: [2, 35] from Operation: 49-14=35
Current State: 70:[2, 35], Operations: ['34/17=2', '49-14=35']
Exploring Operation: 2*35=70, Resulting Numbers: [70]
70,70 equal: Goal Reached
| 4 |
[
7,
61,
9,
83
] | 51 | [
"7+83=90",
"90/9=10",
"61-10=51"
] | Current State: 51:[7, 61, 9, 83], Operations: []
Exploring Operation: 7+83=90, Resulting Numbers: [61, 9, 90]
Generated Node #2: [61, 9, 90] from Operation: 7+83=90
Current State: 51:[61, 9, 90], Operations: ['7+83=90']
Exploring Operation: 90/9=10, Resulting Numbers: [61, 10]
Generated Node #3: [61, 10] from Operation: 90/9=10
Current State: 51:[61, 10], Operations: ['7+83=90', '90/9=10']
Exploring Operation: 61-10=51, Resulting Numbers: [51]
51,51 equal: Goal Reached
| 4 |
[
2,
53,
33,
98
] | 77 | [
"98-33=65",
"2*65=130",
"130-53=77"
] | Current State: 77:[2, 53, 33, 98], Operations: []
Exploring Operation: 98-33=65, Resulting Numbers: [2, 53, 65]
Generated Node #2: [2, 53, 65] from Operation: 98-33=65
Current State: 77:[2, 53, 65], Operations: ['98-33=65']
Exploring Operation: 2*65=130, Resulting Numbers: [53, 130]
Generated Node #3: [53, 130] from Operation: 2*65=130
Current State: 77:[53, 130], Operations: ['98-33=65', '2*65=130']
Exploring Operation: 130-53=77, Resulting Numbers: [77]
77,77 equal: Goal Reached
| 4 |
[
34,
65,
7,
4
] | 34 | [
"65-34=31",
"7-4=3",
"31+3=34"
] | Current State: 34:[34, 65, 7, 4], Operations: []
Exploring Operation: 65-34=31, Resulting Numbers: [7, 4, 31]
Generated Node #2: [7, 4, 31] from Operation: 65-34=31
Current State: 34:[7, 4, 31], Operations: ['65-34=31']
Exploring Operation: 7-4=3, Resulting Numbers: [31, 3]
Generated Node #3: [31, 3] from Operation: 7-4=3
Current State: 34:[31, 3], Operations: ['65-34=31', '7-4=3']
Exploring Operation: 31+3=34, Resulting Numbers: [34]
34,34 equal: Goal Reached
| 4 |
[
74,
99,
99,
11
] | 56 | [
"99+99=198",
"198/11=18",
"74-18=56"
] | Current State: 56:[74, 99, 99, 11], Operations: []
Exploring Operation: 99+99=198, Resulting Numbers: [74, 11, 198]
Generated Node #2: [74, 11, 198] from Operation: 99+99=198
Current State: 56:[74, 11, 198], Operations: ['99+99=198']
Exploring Operation: 198/11=18, Resulting Numbers: [74, 18]
Generated Node #3: [74, 18] from Operation: 198/11=18
Current State: 56:[74, 18], Operations: ['99+99=198', '198/11=18']
Exploring Operation: 74-18=56, Resulting Numbers: [56]
56,56 equal: Goal Reached
| 4 |
[
11,
73,
62,
60
] | 31 | [
"73-11=62",
"62-60=2",
"62/2=31"
] | Current State: 31:[11, 73, 62, 60], Operations: []
Exploring Operation: 73-11=62, Resulting Numbers: [62, 60, 62]
Generated Node #2: [62, 60, 62] from Operation: 73-11=62
Current State: 31:[62, 60, 62], Operations: ['73-11=62']
Exploring Operation: 62-60=2, Resulting Numbers: [2]
2,31 equal: Goal Reached
Exploring Operation: 62/2=31, Resulting Numbers: [31]
31,31 equal: Goal Reached
| 4 |
[
30,
3,
57,
1
] | 12 | [
"30+1=31",
"57/3=19",
"31-19=12"
] | Current State: 12:[30, 3, 57, 1], Operations: []
Exploring Operation: 30+1=31, Resulting Numbers: [3, 57, 31]
Generated Node #2: [3, 57, 31] from Operation: 30+1=31
Current State: 12:[3, 57, 31], Operations: ['30+1=31']
Exploring Operation: 57/3=19, Resulting Numbers: [31, 19]
Generated Node #3: [31, 19] from Operation: 57/3=19
Current State: 12:[31, 19], Operations: ['30+1=31', '57/3=19']
Exploring Operation: 31-19=12, Resulting Numbers: [12]
12,12 equal: Goal Reached
| 4 |
[
47,
45,
73,
68
] | 97 | [
"47+45=92",
"73-68=5",
"92+5=97"
] | Current State: 97:[47, 45, 73, 68], Operations: []
Exploring Operation: 47+45=92, Resulting Numbers: [73, 68, 92]
Generated Node #2: [73, 68, 92] from Operation: 47+45=92
Current State: 97:[73, 68, 92], Operations: ['47+45=92']
Exploring Operation: 73-68=5, Resulting Numbers: [92, 5]
Generated Node #3: [92, 5] from Operation: 73-68=5
Current State: 97:[92, 5], Operations: ['47+45=92', '73-68=5']
Exploring Operation: 92+5=97, Resulting Numbers: [97]
97,97 equal: Goal Reached
| 4 |
[
8,
38,
58,
25
] | 40 | [
"58-8=50",
"50/25=2",
"38+2=40"
] | Current State: 40:[8, 38, 58, 25], Operations: []
Exploring Operation: 58-8=50, Resulting Numbers: [38, 25, 50]
Generated Node #2: [38, 25, 50] from Operation: 58-8=50
Current State: 40:[38, 25, 50], Operations: ['58-8=50']
Exploring Operation: 50/25=2, Resulting Numbers: [38, 2]
Generated Node #3: [38, 2] from Operation: 50/25=2
Current State: 40:[38, 2], Operations: ['58-8=50', '50/25=2']
Exploring Operation: 38+2=40, Resulting Numbers: [40]
40,40 equal: Goal Reached
| 4 |
[
93,
48,
35,
22
] | 32 | [
"93-48=45",
"35-22=13",
"45-13=32"
] | Current State: 32:[93, 48, 35, 22], Operations: []
Exploring Operation: 93-48=45, Resulting Numbers: [35, 22, 45]
Generated Node #2: [35, 22, 45] from Operation: 93-48=45
Current State: 32:[35, 22, 45], Operations: ['93-48=45']
Exploring Operation: 35-22=13, Resulting Numbers: [45, 13]
Generated Node #3: [45, 13] from Operation: 35-22=13
Current State: 32:[45, 13], Operations: ['93-48=45', '35-22=13']
Exploring Operation: 45-13=32, Resulting Numbers: [32]
32,32 equal: Goal Reached
| 4 |
[
9,
67,
19,
72
] | 94 | [
"72/9=8",
"67+19=86",
"8+86=94"
] | Current State: 94:[9, 67, 19, 72], Operations: []
Exploring Operation: 72/9=8, Resulting Numbers: [67, 19, 8]
Generated Node #2: [67, 19, 8] from Operation: 72/9=8
Current State: 94:[67, 19, 8], Operations: ['72/9=8']
Exploring Operation: 67+19=86, Resulting Numbers: [8, 86]
Generated Node #3: [8, 86] from Operation: 67+19=86
Current State: 94:[8, 86], Operations: ['72/9=8', '67+19=86']
Exploring Operation: 8+86=94, Resulting Numbers: [94]
94,94 equal: Goal Reached
| 4 |
[
34,
63,
60,
37
] | 65 | [
"63-60=3",
"34*3=102",
"102-37=65"
] | Current State: 65:[34, 63, 60, 37], Operations: []
Exploring Operation: 63-60=3, Resulting Numbers: [34, 37, 3]
Generated Node #2: [34, 37, 3] from Operation: 63-60=3
Current State: 65:[34, 37, 3], Operations: ['63-60=3']
Exploring Operation: 34*3=102, Resulting Numbers: [37, 102]
Generated Node #3: [37, 102] from Operation: 34*3=102
Current State: 65:[37, 102], Operations: ['63-60=3', '34*3=102']
Exploring Operation: 102-37=65, Resulting Numbers: [65]
65,65 equal: Goal Reached
| 4 |
[
7,
9,
46,
14
] | 53 | [
"9-7=2",
"14/2=7",
"46+7=53"
] | Current State: 53:[7, 9, 46, 14], Operations: []
Exploring Operation: 9-7=2, Resulting Numbers: [46, 14, 2]
Generated Node #2: [46, 14, 2] from Operation: 9-7=2
Current State: 53:[46, 14, 2], Operations: ['9-7=2']
Exploring Operation: 14/2=7, Resulting Numbers: [46, 7]
Generated Node #3: [46, 7] from Operation: 14/2=7
Current State: 53:[46, 7], Operations: ['9-7=2', '14/2=7']
Exploring Operation: 46+7=53, Resulting Numbers: [53]
53,53 equal: Goal Reached
| 4 |
[
83,
8,
28,
32
] | 95 | [
"83+8=91",
"32-28=4",
"91+4=95"
] | Current State: 95:[83, 8, 28, 32], Operations: []
Exploring Operation: 83+8=91, Resulting Numbers: [28, 32, 91]
Generated Node #2: [28, 32, 91] from Operation: 83+8=91
Current State: 95:[28, 32, 91], Operations: ['83+8=91']
Exploring Operation: 32-28=4, Resulting Numbers: [91, 4]
Generated Node #3: [91, 4] from Operation: 32-28=4
Current State: 95:[91, 4], Operations: ['83+8=91', '32-28=4']
Exploring Operation: 91+4=95, Resulting Numbers: [95]
95,95 equal: Goal Reached
| 4 |
[
14,
48,
72,
15
] | 64 | [
"14*72=1008",
"1008-48=960",
"960/15=64"
] | Current State: 64:[14, 48, 72, 15], Operations: []
Exploring Operation: 14*72=1008, Resulting Numbers: [48, 15, 1008]
Generated Node #2: [48, 15, 1008] from Operation: 14*72=1008
Current State: 64:[48, 15, 1008], Operations: ['14*72=1008']
Exploring Operation: 1008-48=960, Resulting Numbers: [15, 960]
Generated Node #3: [15, 960] from Operation: 1008-48=960
Current State: 64:[15, 960], Operations: ['14*72=1008', '1008-48=960']
Exploring Operation: 960/15=64, Resulting Numbers: [64]
64,64 equal: Goal Reached
| 4 |
[
31,
88,
48,
39
] | 66 | [
"88-31=57",
"48-39=9",
"57+9=66"
] | Current State: 66:[31, 88, 48, 39], Operations: []
Exploring Operation: 88-31=57, Resulting Numbers: [48, 39, 57]
Generated Node #2: [48, 39, 57] from Operation: 88-31=57
Current State: 66:[48, 39, 57], Operations: ['88-31=57']
Exploring Operation: 48-39=9, Resulting Numbers: [57, 9]
Generated Node #3: [57, 9] from Operation: 48-39=9
Current State: 66:[57, 9], Operations: ['88-31=57', '48-39=9']
Exploring Operation: 57+9=66, Resulting Numbers: [66]
66,66 equal: Goal Reached
| 4 |
[
17,
42,
17,
49
] | 41 | [
"42-17=25",
"17+49=66",
"66-25=41"
] | Current State: 41:[17, 42, 17, 49], Operations: []
Exploring Operation: 42-17=25, Resulting Numbers: [49, 25]
Generated Node #2: [49, 25] from Operation: 42-17=25
Current State: 41:[49, 25], Operations: ['42-17=25']
Exploring Operation: 17+49=66, Resulting Numbers: [25, 66]
Generated Node #3: [25, 66] from Operation: 17+49=66
Current State: 41:[25, 66], Operations: ['42-17=25', '17+49=66']
Exploring Operation: 66-25=41, Resulting Numbers: [41]
41,41 equal: Goal Reached
| 4 |
[
51,
53,
31,
98
] | 69 | [
"53-51=2",
"98-31=67",
"2+67=69"
] | Current State: 69:[51, 53, 31, 98], Operations: []
Exploring Operation: 53-51=2, Resulting Numbers: [31, 98, 2]
Generated Node #2: [31, 98, 2] from Operation: 53-51=2
Current State: 69:[31, 98, 2], Operations: ['53-51=2']
Exploring Operation: 98-31=67, Resulting Numbers: [2, 67]
Generated Node #3: [2, 67] from Operation: 98-31=67
Current State: 69:[2, 67], Operations: ['53-51=2', '98-31=67']
Exploring Operation: 2+67=69, Resulting Numbers: [69]
69,69 equal: Goal Reached
| 4 |
[
81,
19,
97,
10
] | 25 | [
"81-19=62",
"97-10=87",
"87-62=25"
] | Current State: 25:[81, 19, 97, 10], Operations: []
Exploring Operation: 81-19=62, Resulting Numbers: [97, 10, 62]
Generated Node #2: [97, 10, 62] from Operation: 81-19=62
Current State: 25:[97, 10, 62], Operations: ['81-19=62']
Exploring Operation: 97-10=87, Resulting Numbers: [62, 87]
Generated Node #3: [62, 87] from Operation: 97-10=87
Current State: 25:[62, 87], Operations: ['81-19=62', '97-10=87']
Exploring Operation: 87-62=25, Resulting Numbers: [25]
25,25 equal: Goal Reached
| 4 |
[
2,
4,
90,
33
] | 84 | [
"4*33=132",
"132-90=42",
"2*42=84"
] | Current State: 84:[2, 4, 90, 33], Operations: []
Exploring Operation: 4*33=132, Resulting Numbers: [2, 90, 132]
Generated Node #2: [2, 90, 132] from Operation: 4*33=132
Current State: 84:[2, 90, 132], Operations: ['4*33=132']
Exploring Operation: 132-90=42, Resulting Numbers: [2, 42]
Generated Node #3: [2, 42] from Operation: 132-90=42
Current State: 84:[2, 42], Operations: ['4*33=132', '132-90=42']
Exploring Operation: 2*42=84, Resulting Numbers: [84]
84,84 equal: Goal Reached
| 4 |
[
53,
83,
7,
30
] | 99 | [
"53+83=136",
"7+30=37",
"136-37=99"
] | Current State: 99:[53, 83, 7, 30], Operations: []
Exploring Operation: 53+83=136, Resulting Numbers: [7, 30, 136]
Generated Node #2: [7, 30, 136] from Operation: 53+83=136
Current State: 99:[7, 30, 136], Operations: ['53+83=136']
Exploring Operation: 7+30=37, Resulting Numbers: [136, 37]
Generated Node #3: [136, 37] from Operation: 7+30=37
Current State: 99:[136, 37], Operations: ['53+83=136', '7+30=37']
Exploring Operation: 136-37=99, Resulting Numbers: [99]
99,99 equal: Goal Reached
| 4 |
[
3,
40,
5,
99
] | 94 | [
"3+5=8",
"40/8=5",
"99-5=94"
] | Current State: 94:[3, 40, 5, 99], Operations: []
Exploring Operation: 3+5=8, Resulting Numbers: [40, 99, 8]
Generated Node #2: [40, 99, 8] from Operation: 3+5=8
Current State: 94:[40, 99, 8], Operations: ['3+5=8']
Exploring Operation: 40/8=5, Resulting Numbers: [99, 5]
Generated Node #3: [99, 5] from Operation: 40/8=5
Current State: 94:[99, 5], Operations: ['3+5=8', '40/8=5']
Exploring Operation: 99-5=94, Resulting Numbers: [94]
94,94 equal: Goal Reached
| 4 |
[
20,
28,
12,
33
] | 22 | [
"28-20=8",
"33*8=264",
"264/12=22"
] | Current State: 22:[20, 28, 12, 33], Operations: []
Exploring Operation: 28-20=8, Resulting Numbers: [12, 33, 8]
Generated Node #2: [12, 33, 8] from Operation: 28-20=8
Current State: 22:[12, 33, 8], Operations: ['28-20=8']
Exploring Operation: 33*8=264, Resulting Numbers: [12, 264]
Generated Node #3: [12, 264] from Operation: 33*8=264
Current State: 22:[12, 264], Operations: ['28-20=8', '33*8=264']
Exploring Operation: 264/12=22, Resulting Numbers: [22]
22,22 equal: Goal Reached
| 4 |
[
18,
61,
25,
69
] | 15 | [
"18+61=79",
"25+69=94",
"94-79=15"
] | Current State: 15:[18, 61, 25, 69], Operations: []
Exploring Operation: 18+61=79, Resulting Numbers: [25, 69, 79]
Generated Node #2: [25, 69, 79] from Operation: 18+61=79
Current State: 15:[25, 69, 79], Operations: ['18+61=79']
Exploring Operation: 25+69=94, Resulting Numbers: [79, 94]
Generated Node #3: [79, 94] from Operation: 25+69=94
Current State: 15:[79, 94], Operations: ['18+61=79', '25+69=94']
Exploring Operation: 94-79=15, Resulting Numbers: [15]
15,15 equal: Goal Reached
| 4 |
[
81,
4,
59,
69
] | 43 | [
"81+4=85",
"59+69=128",
"128-85=43"
] | Current State: 43:[81, 4, 59, 69], Operations: []
Exploring Operation: 81+4=85, Resulting Numbers: [59, 69, 85]
Generated Node #2: [59, 69, 85] from Operation: 81+4=85
Current State: 43:[59, 69, 85], Operations: ['81+4=85']
Exploring Operation: 59+69=128, Resulting Numbers: [85, 128]
Generated Node #3: [85, 128] from Operation: 59+69=128
Current State: 43:[85, 128], Operations: ['81+4=85', '59+69=128']
Exploring Operation: 128-85=43, Resulting Numbers: [43]
43,43 equal: Goal Reached
| 4 |
[
22,
59,
23,
51
] | 64 | [
"59*23=1357",
"51+1357=1408",
"1408/22=64"
] | Current State: 64:[22, 59, 23, 51], Operations: []
Exploring Operation: 59*23=1357, Resulting Numbers: [22, 51, 1357]
Generated Node #2: [22, 51, 1357] from Operation: 59*23=1357
Current State: 64:[22, 51, 1357], Operations: ['59*23=1357']
Exploring Operation: 51+1357=1408, Resulting Numbers: [22, 1408]
Generated Node #3: [22, 1408] from Operation: 51+1357=1408
Current State: 64:[22, 1408], Operations: ['59*23=1357', '51+1357=1408']
Exploring Operation: 1408/22=64, Resulting Numbers: [64]
64,64 equal: Goal Reached
| 4 |
[
47,
17,
94,
7
] | 41 | [
"94/47=2",
"17*2=34",
"7+34=41"
] | Current State: 41:[47, 17, 94, 7], Operations: []
Exploring Operation: 94/47=2, Resulting Numbers: [17, 7, 2]
Generated Node #2: [17, 7, 2] from Operation: 94/47=2
Current State: 41:[17, 7, 2], Operations: ['94/47=2']
Exploring Operation: 17*2=34, Resulting Numbers: [7, 34]
Generated Node #3: [7, 34] from Operation: 17*2=34
Current State: 41:[7, 34], Operations: ['94/47=2', '17*2=34']
Exploring Operation: 7+34=41, Resulting Numbers: [41]
41,41 equal: Goal Reached
| 4 |
[
64,
14,
7,
56
] | 15 | [
"64+14=78",
"7+56=63",
"78-63=15"
] | Current State: 15:[64, 14, 7, 56], Operations: []
Exploring Operation: 64+14=78, Resulting Numbers: [7, 56, 78]
Generated Node #2: [7, 56, 78] from Operation: 64+14=78
Current State: 15:[7, 56, 78], Operations: ['64+14=78']
Exploring Operation: 7+56=63, Resulting Numbers: [78, 63]
Generated Node #3: [78, 63] from Operation: 7+56=63
Current State: 15:[78, 63], Operations: ['64+14=78', '7+56=63']
Exploring Operation: 78-63=15, Resulting Numbers: [15]
15,15 equal: Goal Reached
| 4 |
[
81,
46,
91,
63
] | 99 | [
"81+46=127",
"91-63=28",
"127-28=99"
] | Current State: 99:[81, 46, 91, 63], Operations: []
Exploring Operation: 81+46=127, Resulting Numbers: [91, 63, 127]
Generated Node #2: [91, 63, 127] from Operation: 81+46=127
Current State: 99:[91, 63, 127], Operations: ['81+46=127']
Exploring Operation: 91-63=28, Resulting Numbers: [127, 28]
Generated Node #3: [127, 28] from Operation: 91-63=28
Current State: 99:[127, 28], Operations: ['81+46=127', '91-63=28']
Exploring Operation: 127-28=99, Resulting Numbers: [99]
99,99 equal: Goal Reached
| 4 |
[
88,
42,
41,
2
] | 90 | [
"88+2=90",
"42-41=1",
"90*1=90"
] | Current State: 90:[88, 42, 41, 2], Operations: []
Exploring Operation: 88+2=90, Resulting Numbers: [42, 41, 90]
Generated Node #2: [42, 41, 90] from Operation: 88+2=90
Current State: 90:[42, 41, 90], Operations: ['88+2=90']
Exploring Operation: 42-41=1, Resulting Numbers: [90, 1]
Generated Node #3: [90, 1] from Operation: 42-41=1
Current State: 90:[90, 1], Operations: ['88+2=90', '42-41=1']
Exploring Operation: 90*1=90, Resulting Numbers: [90]
90,90 equal: Goal Reached
| 4 |
[
52,
37,
90,
62
] | 68 | [
"52-37=15",
"90/15=6",
"62+6=68"
] | Current State: 68:[52, 37, 90, 62], Operations: []
Exploring Operation: 52-37=15, Resulting Numbers: [90, 62, 15]
Generated Node #2: [90, 62, 15] from Operation: 52-37=15
Current State: 68:[90, 62, 15], Operations: ['52-37=15']
Exploring Operation: 90/15=6, Resulting Numbers: [62, 6]
Generated Node #3: [62, 6] from Operation: 90/15=6
Current State: 68:[62, 6], Operations: ['52-37=15', '90/15=6']
Exploring Operation: 62+6=68, Resulting Numbers: [68]
68,68 equal: Goal Reached
| 4 |
[
45,
61,
26,
6
] | 60 | [
"61-45=16",
"26-16=10",
"6*10=60"
] | Current State: 60:[45, 61, 26, 6], Operations: []
Exploring Operation: 61-45=16, Resulting Numbers: [26, 6, 16]
Generated Node #2: [26, 6, 16] from Operation: 61-45=16
Current State: 60:[26, 6, 16], Operations: ['61-45=16']
Exploring Operation: 26-16=10, Resulting Numbers: [6, 10]
Generated Node #3: [6, 10] from Operation: 26-16=10
Current State: 60:[6, 10], Operations: ['61-45=16', '26-16=10']
Exploring Operation: 6*10=60, Resulting Numbers: [60]
60,60 equal: Goal Reached
| 4 |
[
36,
49,
26,
24
] | 10 | [
"36*26=936",
"936/24=39",
"49-39=10"
] | Current State: 10:[36, 49, 26, 24], Operations: []
Exploring Operation: 36*26=936, Resulting Numbers: [49, 24, 936]
Generated Node #2: [49, 24, 936] from Operation: 36*26=936
Current State: 10:[49, 24, 936], Operations: ['36*26=936']
Exploring Operation: 936/24=39, Resulting Numbers: [49, 39]
Generated Node #3: [49, 39] from Operation: 936/24=39
Current State: 10:[49, 39], Operations: ['36*26=936', '936/24=39']
Exploring Operation: 49-39=10, Resulting Numbers: [10]
10,10 equal: Goal Reached
| 4 |
[
12,
48,
37,
9
] | 10 | [
"48-12=36",
"37+9=46",
"46-36=10"
] | Current State: 10:[12, 48, 37, 9], Operations: []
Exploring Operation: 48-12=36, Resulting Numbers: [37, 9, 36]
Generated Node #2: [37, 9, 36] from Operation: 48-12=36
Current State: 10:[37, 9, 36], Operations: ['48-12=36']
Exploring Operation: 37+9=46, Resulting Numbers: [36, 46]
Generated Node #3: [36, 46] from Operation: 37+9=46
Current State: 10:[36, 46], Operations: ['48-12=36', '37+9=46']
Exploring Operation: 46-36=10, Resulting Numbers: [10]
10,10 equal: Goal Reached
| 4 |
[
72,
73,
70,
40
] | 35 | [
"72+73=145",
"70+40=110",
"145-110=35"
] | Current State: 35:[72, 73, 70, 40], Operations: []
Exploring Operation: 72+73=145, Resulting Numbers: [70, 40, 145]
Generated Node #2: [70, 40, 145] from Operation: 72+73=145
Current State: 35:[70, 40, 145], Operations: ['72+73=145']
Exploring Operation: 70+40=110, Resulting Numbers: [145, 110]
Generated Node #3: [145, 110] from Operation: 70+40=110
Current State: 35:[145, 110], Operations: ['72+73=145', '70+40=110']
Exploring Operation: 145-110=35, Resulting Numbers: [35]
35,35 equal: Goal Reached
| 4 |
[
90,
6,
26,
96
] | 87 | [
"6+26=32",
"96/32=3",
"90-3=87"
] | Current State: 87:[90, 6, 26, 96], Operations: []
Exploring Operation: 6+26=32, Resulting Numbers: [90, 96, 32]
Generated Node #2: [90, 96, 32] from Operation: 6+26=32
Current State: 87:[90, 96, 32], Operations: ['6+26=32']
Exploring Operation: 96/32=3, Resulting Numbers: [90, 3]
Generated Node #3: [90, 3] from Operation: 96/32=3
Current State: 87:[90, 3], Operations: ['6+26=32', '96/32=3']
Exploring Operation: 90-3=87, Resulting Numbers: [87]
87,87 equal: Goal Reached
| 4 |
[
5,
12,
18,
90
] | 45 | [
"18+90=108",
"5*108=540",
"540/12=45"
] | Current State: 45:[5, 12, 18, 90], Operations: []
Exploring Operation: 18+90=108, Resulting Numbers: [5, 12, 108]
Generated Node #2: [5, 12, 108] from Operation: 18+90=108
Current State: 45:[5, 12, 108], Operations: ['18+90=108']
Exploring Operation: 5*108=540, Resulting Numbers: [12, 540]
Generated Node #3: [12, 540] from Operation: 5*108=540
Current State: 45:[12, 540], Operations: ['18+90=108', '5*108=540']
Exploring Operation: 540/12=45, Resulting Numbers: [45]
45,45 equal: Goal Reached
| 4 |
[
4,
13,
7,
10
] | 83 | [
"13-4=9",
"10*9=90",
"90-7=83"
] | Current State: 83:[4, 13, 7, 10], Operations: []
Exploring Operation: 13-4=9, Resulting Numbers: [7, 10, 9]
Generated Node #2: [7, 10, 9] from Operation: 13-4=9
Current State: 83:[7, 10, 9], Operations: ['13-4=9']
Exploring Operation: 10*9=90, Resulting Numbers: [7, 90]
Generated Node #3: [7, 90] from Operation: 10*9=90
Current State: 83:[7, 90], Operations: ['13-4=9', '10*9=90']
Exploring Operation: 90-7=83, Resulting Numbers: [83]
83,83 equal: Goal Reached
| 4 |
[
28,
16,
56,
41
] | 29 | [
"28+16=44",
"56-41=15",
"44-15=29"
] | Current State: 29:[28, 16, 56, 41], Operations: []
Exploring Operation: 28+16=44, Resulting Numbers: [56, 41, 44]
Generated Node #2: [56, 41, 44] from Operation: 28+16=44
Current State: 29:[56, 41, 44], Operations: ['28+16=44']
Exploring Operation: 56-41=15, Resulting Numbers: [44, 15]
Generated Node #3: [44, 15] from Operation: 56-41=15
Current State: 29:[44, 15], Operations: ['28+16=44', '56-41=15']
Exploring Operation: 44-15=29, Resulting Numbers: [29]
29,29 equal: Goal Reached
| 4 |
[
50,
18,
71,
42
] | 73 | [
"50-42=8",
"18*8=144",
"144-71=73"
] | Current State: 73:[50, 18, 71, 42], Operations: []
Exploring Operation: 50-42=8, Resulting Numbers: [18, 71, 8]
Generated Node #2: [18, 71, 8] from Operation: 50-42=8
Current State: 73:[18, 71, 8], Operations: ['50-42=8']
Exploring Operation: 18*8=144, Resulting Numbers: [71, 144]
Generated Node #3: [71, 144] from Operation: 18*8=144
Current State: 73:[71, 144], Operations: ['50-42=8', '18*8=144']
Exploring Operation: 144-71=73, Resulting Numbers: [73]
73,73 equal: Goal Reached
| 4 |
[
25,
86,
45,
51
] | 55 | [
"86-25=61",
"51-45=6",
"61-6=55"
] | Current State: 55:[25, 86, 45, 51], Operations: []
Exploring Operation: 86-25=61, Resulting Numbers: [45, 51, 61]
Generated Node #2: [45, 51, 61] from Operation: 86-25=61
Current State: 55:[45, 51, 61], Operations: ['86-25=61']
Exploring Operation: 51-45=6, Resulting Numbers: [61, 6]
Generated Node #3: [61, 6] from Operation: 51-45=6
Current State: 55:[61, 6], Operations: ['86-25=61', '51-45=6']
Exploring Operation: 61-6=55, Resulting Numbers: [55]
55,55 equal: Goal Reached
| 4 |
[
34,
15,
26,
81
] | 39 | [
"34-26=8",
"15*8=120",
"120-81=39"
] | Current State: 39:[34, 15, 26, 81], Operations: []
Exploring Operation: 34-26=8, Resulting Numbers: [15, 81, 8]
Generated Node #2: [15, 81, 8] from Operation: 34-26=8
Current State: 39:[15, 81, 8], Operations: ['34-26=8']
Exploring Operation: 15*8=120, Resulting Numbers: [81, 120]
Generated Node #3: [81, 120] from Operation: 15*8=120
Current State: 39:[81, 120], Operations: ['34-26=8', '15*8=120']
Exploring Operation: 120-81=39, Resulting Numbers: [39]
39,39 equal: Goal Reached
| 4 |
[
54,
9,
18,
6
] | 69 | [
"54-9=45",
"18+6=24",
"45+24=69"
] | Current State: 69:[54, 9, 18, 6], Operations: []
Exploring Operation: 54-9=45, Resulting Numbers: [18, 6, 45]
Generated Node #2: [18, 6, 45] from Operation: 54-9=45
Current State: 69:[18, 6, 45], Operations: ['54-9=45']
Exploring Operation: 18+6=24, Resulting Numbers: [45, 24]
Generated Node #3: [45, 24] from Operation: 18+6=24
Current State: 69:[45, 24], Operations: ['54-9=45', '18+6=24']
Exploring Operation: 45+24=69, Resulting Numbers: [69]
69,69 equal: Goal Reached
| 4 |
[
29,
92,
10,
71
] | 80 | [
"92-29=63",
"71-63=8",
"10*8=80"
] | Current State: 80:[29, 92, 10, 71], Operations: []
Exploring Operation: 92-29=63, Resulting Numbers: [10, 71, 63]
Generated Node #2: [10, 71, 63] from Operation: 92-29=63
Current State: 80:[10, 71, 63], Operations: ['92-29=63']
Exploring Operation: 71-63=8, Resulting Numbers: [10, 8]
Generated Node #3: [10, 8] from Operation: 71-63=8
Current State: 80:[10, 8], Operations: ['92-29=63', '71-63=8']
Exploring Operation: 10*8=80, Resulting Numbers: [80]
80,80 equal: Goal Reached
| 4 |
[
31,
42,
15,
81
] | 93 | [
"31*81=2511",
"42-15=27",
"2511/27=93"
] | Current State: 93:[31, 42, 15, 81], Operations: []
Exploring Operation: 31*81=2511, Resulting Numbers: [42, 15, 2511]
Generated Node #2: [42, 15, 2511] from Operation: 31*81=2511
Current State: 93:[42, 15, 2511], Operations: ['31*81=2511']
Exploring Operation: 42-15=27, Resulting Numbers: [2511, 27]
Generated Node #3: [2511, 27] from Operation: 42-15=27
Current State: 93:[2511, 27], Operations: ['31*81=2511', '42-15=27']
Exploring Operation: 2511/27=93, Resulting Numbers: [93]
93,93 equal: Goal Reached
| 4 |
[
92,
8,
13,
2
] | 99 | [
"92-8=84",
"13+2=15",
"84+15=99"
] | Current State: 99:[92, 8, 13, 2], Operations: []
Exploring Operation: 92-8=84, Resulting Numbers: [13, 2, 84]
Generated Node #2: [13, 2, 84] from Operation: 92-8=84
Current State: 99:[13, 2, 84], Operations: ['92-8=84']
Exploring Operation: 13+2=15, Resulting Numbers: [84, 15]
Generated Node #3: [84, 15] from Operation: 13+2=15
Current State: 99:[84, 15], Operations: ['92-8=84', '13+2=15']
Exploring Operation: 84+15=99, Resulting Numbers: [99]
99,99 equal: Goal Reached
| 4 |
[
1,
91,
11,
9
] | 70 | [
"91-1=90",
"11+9=20",
"90-20=70"
] | Current State: 70:[1, 91, 11, 9], Operations: []
Exploring Operation: 91-1=90, Resulting Numbers: [11, 9, 90]
Generated Node #2: [11, 9, 90] from Operation: 91-1=90
Current State: 70:[11, 9, 90], Operations: ['91-1=90']
Exploring Operation: 11+9=20, Resulting Numbers: [90, 20]
Generated Node #3: [90, 20] from Operation: 11+9=20
Current State: 70:[90, 20], Operations: ['91-1=90', '11+9=20']
Exploring Operation: 90-20=70, Resulting Numbers: [70]
70,70 equal: Goal Reached
| 4 |
[
60,
55,
83,
19
] | 97 | [
"60-55=5",
"83+19=102",
"102-5=97"
] | Current State: 97:[60, 55, 83, 19], Operations: []
Exploring Operation: 60-55=5, Resulting Numbers: [83, 19, 5]
Generated Node #2: [83, 19, 5] from Operation: 60-55=5
Current State: 97:[83, 19, 5], Operations: ['60-55=5']
Exploring Operation: 83+19=102, Resulting Numbers: [5, 102]
Generated Node #3: [5, 102] from Operation: 83+19=102
Current State: 97:[5, 102], Operations: ['60-55=5', '83+19=102']
Exploring Operation: 102-5=97, Resulting Numbers: [97]
97,97 equal: Goal Reached
| 4 |
[
97,
76,
39,
43
] | 31 | [
"76*39=2964",
"43+2964=3007",
"3007/97=31"
] | Current State: 31:[97, 76, 39, 43], Operations: []
Exploring Operation: 76*39=2964, Resulting Numbers: [97, 43, 2964]
Generated Node #2: [97, 43, 2964] from Operation: 76*39=2964
Current State: 31:[97, 43, 2964], Operations: ['76*39=2964']
Exploring Operation: 43+2964=3007, Resulting Numbers: [97, 3007]
Generated Node #3: [97, 3007] from Operation: 43+2964=3007
Current State: 31:[97, 3007], Operations: ['76*39=2964', '43+2964=3007']
Exploring Operation: 3007/97=31, Resulting Numbers: [31]
31,31 equal: Goal Reached
| 4 |
[
42,
90,
6,
71
] | 69 | [
"90-6=84",
"84/42=2",
"71-2=69"
] | Current State: 69:[42, 90, 6, 71], Operations: []
Exploring Operation: 90-6=84, Resulting Numbers: [42, 71, 84]
Generated Node #2: [42, 71, 84] from Operation: 90-6=84
Current State: 69:[42, 71, 84], Operations: ['90-6=84']
Exploring Operation: 84/42=2, Resulting Numbers: [71, 2]
Generated Node #3: [71, 2] from Operation: 84/42=2
Current State: 69:[71, 2], Operations: ['90-6=84', '84/42=2']
Exploring Operation: 71-2=69, Resulting Numbers: [69]
69,69 equal: Goal Reached
| 4 |
[
93,
87,
6,
15
] | 45 | [
"93+87=180",
"180/6=30",
"15+30=45"
] | Current State: 45:[93, 87, 6, 15], Operations: []
Exploring Operation: 93+87=180, Resulting Numbers: [6, 15, 180]
Generated Node #2: [6, 15, 180] from Operation: 93+87=180
Current State: 45:[6, 15, 180], Operations: ['93+87=180']
Exploring Operation: 180/6=30, Resulting Numbers: [15, 30]
Generated Node #3: [15, 30] from Operation: 180/6=30
Current State: 45:[15, 30], Operations: ['93+87=180', '180/6=30']
Exploring Operation: 15+30=45, Resulting Numbers: [45]
45,45 equal: Goal Reached
| 4 |
[
26,
22,
17,
3
] | 65 | [
"26-22=4",
"17*4=68",
"68-3=65"
] | Current State: 65:[26, 22, 17, 3], Operations: []
Exploring Operation: 26-22=4, Resulting Numbers: [17, 3, 4]
Generated Node #2: [17, 3, 4] from Operation: 26-22=4
Current State: 65:[17, 3, 4], Operations: ['26-22=4']
Exploring Operation: 17*4=68, Resulting Numbers: [3, 68]
Generated Node #3: [3, 68] from Operation: 17*4=68
Current State: 65:[3, 68], Operations: ['26-22=4', '17*4=68']
Exploring Operation: 68-3=65, Resulting Numbers: [65]
65,65 equal: Goal Reached
| 4 |
[
76,
39,
52,
41
] | 28 | [
"41-39=2",
"52*2=104",
"104-76=28"
] | Current State: 28:[76, 39, 52, 41], Operations: []
Exploring Operation: 41-39=2, Resulting Numbers: [76, 52, 2]
Generated Node #2: [76, 52, 2] from Operation: 41-39=2
Current State: 28:[76, 52, 2], Operations: ['41-39=2']
Exploring Operation: 52*2=104, Resulting Numbers: [76, 104]
Generated Node #3: [76, 104] from Operation: 52*2=104
Current State: 28:[76, 104], Operations: ['41-39=2', '52*2=104']
Exploring Operation: 104-76=28, Resulting Numbers: [28]
28,28 equal: Goal Reached
| 4 |
[
67,
98,
23,
16
] | 27 | [
"67*23=1541",
"98*16=1568",
"1568-1541=27"
] | Current State: 27:[67, 98, 23, 16], Operations: []
Exploring Operation: 67*23=1541, Resulting Numbers: [98, 16, 1541]
Generated Node #2: [98, 16, 1541] from Operation: 67*23=1541
Current State: 27:[98, 16, 1541], Operations: ['67*23=1541']
Exploring Operation: 98*16=1568, Resulting Numbers: [1541, 1568]
Generated Node #3: [1541, 1568] from Operation: 98*16=1568
Current State: 27:[1541, 1568], Operations: ['67*23=1541', '98*16=1568']
Exploring Operation: 1568-1541=27, Resulting Numbers: [27]
27,27 equal: Goal Reached
| 4 |
[
14,
64,
22,
15
] | 56 | [
"22-14=8",
"15*8=120",
"120-64=56"
] | Current State: 56:[14, 64, 22, 15], Operations: []
Exploring Operation: 22-14=8, Resulting Numbers: [64, 15, 8]
Generated Node #2: [64, 15, 8] from Operation: 22-14=8
Current State: 56:[64, 15, 8], Operations: ['22-14=8']
Exploring Operation: 15*8=120, Resulting Numbers: [64, 120]
Generated Node #3: [64, 120] from Operation: 15*8=120
Current State: 56:[64, 120], Operations: ['22-14=8', '15*8=120']
Exploring Operation: 120-64=56, Resulting Numbers: [56]
56,56 equal: Goal Reached
| 4 |
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