nums listlengths 4 4 | target int64 10 100 | solution listlengths 3 3 | optimal_path stringlengths 282 529 | start_size int64 4 4 |
|---|---|---|---|---|
[
12,
59,
92,
41
] | 20 | [
"12+59=71",
"92-41=51",
"71-51=20"
] | Current State: 20:[12, 59, 92, 41], Operations: []
Exploring Operation: 12+59=71, Resulting Numbers: [92, 41, 71]
Generated Node #2: [92, 41, 71] from Operation: 12+59=71
Current State: 20:[92, 41, 71], Operations: ['12+59=71']
Exploring Operation: 92-41=51, Resulting Numbers: [71, 51]
Generated Node #3: [71, 51] from Operation: 92-41=51
Current State: 20:[71, 51], Operations: ['12+59=71', '92-41=51']
Exploring Operation: 71-51=20, Resulting Numbers: [20]
20,20 equal: Goal Reached
| 4 |
[
92,
45,
13,
4
] | 55 | [
"92/4=23",
"45-13=32",
"23+32=55"
] | Current State: 55:[92, 45, 13, 4], Operations: []
Exploring Operation: 92/4=23, Resulting Numbers: [45, 13, 23]
Generated Node #2: [45, 13, 23] from Operation: 92/4=23
Current State: 55:[45, 13, 23], Operations: ['92/4=23']
Exploring Operation: 45-13=32, Resulting Numbers: [23, 32]
Generated Node #3: [23, 32] from Operation: 45-13=32
Current State: 55:[23, 32], Operations: ['92/4=23', '45-13=32']
Exploring Operation: 23+32=55, Resulting Numbers: [55]
55,55 equal: Goal Reached
| 4 |
[
10,
7,
5,
55
] | 70 | [
"10-7=3",
"5*3=15",
"55+15=70"
] | Current State: 70:[10, 7, 5, 55], Operations: []
Exploring Operation: 10-7=3, Resulting Numbers: [5, 55, 3]
Generated Node #2: [5, 55, 3] from Operation: 10-7=3
Current State: 70:[5, 55, 3], Operations: ['10-7=3']
Exploring Operation: 5*3=15, Resulting Numbers: [55, 15]
Generated Node #3: [55, 15] from Operation: 5*3=15
Current State: 70:[55, 15], Operations: ['10-7=3', '5*3=15']
Exploring Operation: 55+15=70, Resulting Numbers: [70]
70,70 equal: Goal Reached
| 4 |
[
14,
76,
66,
15
] | 68 | [
"14*15=210",
"76+66=142",
"210-142=68"
] | Current State: 68:[14, 76, 66, 15], Operations: []
Exploring Operation: 14*15=210, Resulting Numbers: [76, 66, 210]
Generated Node #2: [76, 66, 210] from Operation: 14*15=210
Current State: 68:[76, 66, 210], Operations: ['14*15=210']
Exploring Operation: 76+66=142, Resulting Numbers: [210, 142]
Generated Node #3: [210, 142] from Operation: 76+66=142
Current State: 68:[210, 142], Operations: ['14*15=210', '76+66=142']
Exploring Operation: 210-142=68, Resulting Numbers: [68]
68,68 equal: Goal Reached
| 4 |
[
91,
76,
49,
8
] | 26 | [
"91-76=15",
"49-8=41",
"41-15=26"
] | Current State: 26:[91, 76, 49, 8], Operations: []
Exploring Operation: 91-76=15, Resulting Numbers: [49, 8, 15]
Generated Node #2: [49, 8, 15] from Operation: 91-76=15
Current State: 26:[49, 8, 15], Operations: ['91-76=15']
Exploring Operation: 49-8=41, Resulting Numbers: [15, 41]
Generated Node #3: [15, 41] from Operation: 49-8=41
Current State: 26:[15, 41], Operations: ['91-76=15', '49-8=41']
Exploring Operation: 41-15=26, Resulting Numbers: [26]
26,26 equal: Goal Reached
| 4 |
[
79,
63,
66,
56
] | 45 | [
"79+56=135",
"66-63=3",
"135/3=45"
] | Current State: 45:[79, 63, 66, 56], Operations: []
Exploring Operation: 79+56=135, Resulting Numbers: [63, 66, 135]
Generated Node #2: [63, 66, 135] from Operation: 79+56=135
Current State: 45:[63, 66, 135], Operations: ['79+56=135']
Exploring Operation: 66-63=3, Resulting Numbers: [135, 3]
Generated Node #3: [135, 3] from Operation: 66-63=3
Current State: 45:[135, 3], Operations: ['79+56=135', '66-63=3']
Exploring Operation: 135/3=45, Resulting Numbers: [45]
45,45 equal: Goal Reached
| 4 |
[
90,
68,
61,
11
] | 63 | [
"90-68=22",
"22/11=2",
"61+2=63"
] | Current State: 63:[90, 68, 61, 11], Operations: []
Exploring Operation: 90-68=22, Resulting Numbers: [61, 11, 22]
Generated Node #2: [61, 11, 22] from Operation: 90-68=22
Current State: 63:[61, 11, 22], Operations: ['90-68=22']
Exploring Operation: 22/11=2, Resulting Numbers: [61, 2]
Generated Node #3: [61, 2] from Operation: 22/11=2
Current State: 63:[61, 2], Operations: ['90-68=22', '22/11=2']
Exploring Operation: 61+2=63, Resulting Numbers: [63]
63,63 equal: Goal Reached
| 4 |
[
23,
28,
65,
69
] | 64 | [
"69-65=4",
"23*4=92",
"92-28=64"
] | Current State: 64:[23, 28, 65, 69], Operations: []
Exploring Operation: 69-65=4, Resulting Numbers: [23, 28, 4]
Generated Node #2: [23, 28, 4] from Operation: 69-65=4
Current State: 64:[23, 28, 4], Operations: ['69-65=4']
Exploring Operation: 23*4=92, Resulting Numbers: [28, 92]
Generated Node #3: [28, 92] from Operation: 23*4=92
Current State: 64:[28, 92], Operations: ['69-65=4', '23*4=92']
Exploring Operation: 92-28=64, Resulting Numbers: [64]
64,64 equal: Goal Reached
| 4 |
[
90,
33,
20,
89
] | 13 | [
"90-89=1",
"33-20=13",
"1*13=13"
] | Current State: 13:[90, 33, 20, 89], Operations: []
Exploring Operation: 90-89=1, Resulting Numbers: [33, 20, 1]
Generated Node #2: [33, 20, 1] from Operation: 90-89=1
Current State: 13:[33, 20, 1], Operations: ['90-89=1']
Exploring Operation: 33-20=13, Resulting Numbers: [1, 13]
Generated Node #3: [1, 13] from Operation: 33-20=13
Current State: 13:[1, 13], Operations: ['90-89=1', '33-20=13']
Exploring Operation: 1*13=13, Resulting Numbers: [13]
13,13 equal: Goal Reached
| 4 |
[
81,
93,
41,
7
] | 36 | [
"93-81=12",
"41+7=48",
"48-12=36"
] | Current State: 36:[81, 93, 41, 7], Operations: []
Exploring Operation: 93-81=12, Resulting Numbers: [41, 7, 12]
Generated Node #2: [41, 7, 12] from Operation: 93-81=12
Current State: 36:[41, 7, 12], Operations: ['93-81=12']
Exploring Operation: 41+7=48, Resulting Numbers: [12, 48]
Generated Node #3: [12, 48] from Operation: 41+7=48
Current State: 36:[12, 48], Operations: ['93-81=12', '41+7=48']
Exploring Operation: 48-12=36, Resulting Numbers: [36]
36,36 equal: Goal Reached
| 4 |
[
41,
1,
87,
56
] | 71 | [
"41-1=40",
"87-56=31",
"40+31=71"
] | Current State: 71:[41, 1, 87, 56], Operations: []
Exploring Operation: 41-1=40, Resulting Numbers: [87, 56, 40]
Generated Node #2: [87, 56, 40] from Operation: 41-1=40
Current State: 71:[87, 56, 40], Operations: ['41-1=40']
Exploring Operation: 87-56=31, Resulting Numbers: [40, 31]
Generated Node #3: [40, 31] from Operation: 87-56=31
Current State: 71:[40, 31], Operations: ['41-1=40', '87-56=31']
Exploring Operation: 40+31=71, Resulting Numbers: [71]
71,71 equal: Goal Reached
| 4 |
[
35,
82,
51,
32
] | 71 | [
"35-32=3",
"51*3=153",
"153-82=71"
] | Current State: 71:[35, 82, 51, 32], Operations: []
Exploring Operation: 35-32=3, Resulting Numbers: [82, 51, 3]
Generated Node #2: [82, 51, 3] from Operation: 35-32=3
Current State: 71:[82, 51, 3], Operations: ['35-32=3']
Exploring Operation: 51*3=153, Resulting Numbers: [82, 153]
Generated Node #3: [82, 153] from Operation: 51*3=153
Current State: 71:[82, 153], Operations: ['35-32=3', '51*3=153']
Exploring Operation: 153-82=71, Resulting Numbers: [71]
71,71 equal: Goal Reached
| 4 |
[
46,
39,
41,
3
] | 95 | [
"41-39=2",
"46*2=92",
"3+92=95"
] | Current State: 95:[46, 39, 41, 3], Operations: []
Exploring Operation: 41-39=2, Resulting Numbers: [46, 3, 2]
Generated Node #2: [46, 3, 2] from Operation: 41-39=2
Current State: 95:[46, 3, 2], Operations: ['41-39=2']
Exploring Operation: 46*2=92, Resulting Numbers: [3, 92]
Generated Node #3: [3, 92] from Operation: 46*2=92
Current State: 95:[3, 92], Operations: ['41-39=2', '46*2=92']
Exploring Operation: 3+92=95, Resulting Numbers: [95]
95,95 equal: Goal Reached
| 4 |
[
39,
29,
13,
38
] | 64 | [
"39/13=3",
"29+38=67",
"67-3=64"
] | Current State: 64:[39, 29, 13, 38], Operations: []
Exploring Operation: 39/13=3, Resulting Numbers: [29, 38, 3]
Generated Node #2: [29, 38, 3] from Operation: 39/13=3
Current State: 64:[29, 38, 3], Operations: ['39/13=3']
Exploring Operation: 29+38=67, Resulting Numbers: [3, 67]
Generated Node #3: [3, 67] from Operation: 29+38=67
Current State: 64:[3, 67], Operations: ['39/13=3', '29+38=67']
Exploring Operation: 67-3=64, Resulting Numbers: [64]
64,64 equal: Goal Reached
| 4 |
[
2,
8,
53,
30
] | 62 | [
"8+53=61",
"61-30=31",
"2*31=62"
] | Current State: 62:[2, 8, 53, 30], Operations: []
Exploring Operation: 8+53=61, Resulting Numbers: [2, 30, 61]
Generated Node #2: [2, 30, 61] from Operation: 8+53=61
Current State: 62:[2, 30, 61], Operations: ['8+53=61']
Exploring Operation: 61-30=31, Resulting Numbers: [2, 31]
Generated Node #3: [2, 31] from Operation: 61-30=31
Current State: 62:[2, 31], Operations: ['8+53=61', '61-30=31']
Exploring Operation: 2*31=62, Resulting Numbers: [62]
62,62 equal: Goal Reached
| 4 |
[
91,
73,
42,
15
] | 39 | [
"91-73=18",
"42+15=57",
"57-18=39"
] | Current State: 39:[91, 73, 42, 15], Operations: []
Exploring Operation: 91-73=18, Resulting Numbers: [42, 15, 18]
Generated Node #2: [42, 15, 18] from Operation: 91-73=18
Current State: 39:[42, 15, 18], Operations: ['91-73=18']
Exploring Operation: 42+15=57, Resulting Numbers: [18, 57]
Generated Node #3: [18, 57] from Operation: 42+15=57
Current State: 39:[18, 57], Operations: ['91-73=18', '42+15=57']
Exploring Operation: 57-18=39, Resulting Numbers: [39]
39,39 equal: Goal Reached
| 4 |
[
43,
24,
76,
92
] | 51 | [
"43+24=67",
"92-76=16",
"67-16=51"
] | Current State: 51:[43, 24, 76, 92], Operations: []
Exploring Operation: 43+24=67, Resulting Numbers: [76, 92, 67]
Generated Node #2: [76, 92, 67] from Operation: 43+24=67
Current State: 51:[76, 92, 67], Operations: ['43+24=67']
Exploring Operation: 92-76=16, Resulting Numbers: [67, 16]
Generated Node #3: [67, 16] from Operation: 92-76=16
Current State: 51:[67, 16], Operations: ['43+24=67', '92-76=16']
Exploring Operation: 67-16=51, Resulting Numbers: [51]
51,51 equal: Goal Reached
| 4 |
[
18,
90,
38,
54
] | 95 | [
"54-18=36",
"90*38=3420",
"3420/36=95"
] | Current State: 95:[18, 90, 38, 54], Operations: []
Exploring Operation: 54-18=36, Resulting Numbers: [90, 38, 36]
Generated Node #2: [90, 38, 36] from Operation: 54-18=36
Current State: 95:[90, 38, 36], Operations: ['54-18=36']
Exploring Operation: 90*38=3420, Resulting Numbers: [36, 3420]
Generated Node #3: [36, 3420] from Operation: 90*38=3420
Current State: 95:[36, 3420], Operations: ['54-18=36', '90*38=3420']
Exploring Operation: 3420/36=95, Resulting Numbers: [95]
95,95 equal: Goal Reached
| 4 |
[
42,
77,
74,
13
] | 87 | [
"42-13=29",
"77-74=3",
"29*3=87"
] | Current State: 87:[42, 77, 74, 13], Operations: []
Exploring Operation: 42-13=29, Resulting Numbers: [77, 74, 29]
Generated Node #2: [77, 74, 29] from Operation: 42-13=29
Current State: 87:[77, 74, 29], Operations: ['42-13=29']
Exploring Operation: 77-74=3, Resulting Numbers: [29, 3]
Generated Node #3: [29, 3] from Operation: 77-74=3
Current State: 87:[29, 3], Operations: ['42-13=29', '77-74=3']
Exploring Operation: 29*3=87, Resulting Numbers: [87]
87,87 equal: Goal Reached
| 4 |
[
22,
82,
9,
84
] | 32 | [
"22*9=198",
"82+84=166",
"198-166=32"
] | Current State: 32:[22, 82, 9, 84], Operations: []
Exploring Operation: 22*9=198, Resulting Numbers: [82, 84, 198]
Generated Node #2: [82, 84, 198] from Operation: 22*9=198
Current State: 32:[82, 84, 198], Operations: ['22*9=198']
Exploring Operation: 82+84=166, Resulting Numbers: [198, 166]
Generated Node #3: [198, 166] from Operation: 82+84=166
Current State: 32:[198, 166], Operations: ['22*9=198', '82+84=166']
Exploring Operation: 198-166=32, Resulting Numbers: [32]
32,32 equal: Goal Reached
| 4 |
[
62,
29,
10,
32
] | 32 | [
"62-32=30",
"30/10=3",
"29+3=32"
] | Current State: 32:[62, 29, 10, 32], Operations: []
Exploring Operation: 62-32=30, Resulting Numbers: [29, 10, 30]
Generated Node #2: [29, 10, 30] from Operation: 62-32=30
Current State: 32:[29, 10, 30], Operations: ['62-32=30']
Exploring Operation: 30/10=3, Resulting Numbers: [29, 3]
Generated Node #3: [29, 3] from Operation: 30/10=3
Current State: 32:[29, 3], Operations: ['62-32=30', '30/10=3']
Exploring Operation: 29+3=32, Resulting Numbers: [32]
32,32 equal: Goal Reached
| 4 |
[
36,
1,
50,
22
] | 64 | [
"36*1=36",
"50-22=28",
"36+28=64"
] | Current State: 64:[36, 1, 50, 22], Operations: []
Exploring Operation: 36*1=36, Resulting Numbers: [50, 22, 36]
Generated Node #2: [50, 22, 36] from Operation: 36*1=36
Current State: 64:[50, 22, 36], Operations: ['36*1=36']
Exploring Operation: 50-22=28, Resulting Numbers: [36, 28]
Generated Node #3: [36, 28] from Operation: 50-22=28
Current State: 64:[36, 28], Operations: ['36*1=36', '50-22=28']
Exploring Operation: 36+28=64, Resulting Numbers: [64]
64,64 equal: Goal Reached
| 4 |
[
9,
9,
35,
64
] | 18 | [
"9*9=81",
"35+64=99",
"99-81=18"
] | Current State: 18:[9, 9, 35, 64], Operations: []
Exploring Operation: 9*9=81, Resulting Numbers: [35, 64, 81]
Generated Node #2: [35, 64, 81] from Operation: 9*9=81
Current State: 18:[35, 64, 81], Operations: ['9*9=81']
Exploring Operation: 35+64=99, Resulting Numbers: [81, 99]
Generated Node #3: [81, 99] from Operation: 35+64=99
Current State: 18:[81, 99], Operations: ['9*9=81', '35+64=99']
Exploring Operation: 99-81=18, Resulting Numbers: [18]
18,18 equal: Goal Reached
| 4 |
[
72,
6,
39,
3
] | 37 | [
"72+39=111",
"6-3=3",
"111/3=37"
] | Current State: 37:[72, 6, 39, 3], Operations: []
Exploring Operation: 72+39=111, Resulting Numbers: [6, 3, 111]
Generated Node #2: [6, 3, 111] from Operation: 72+39=111
Current State: 37:[6, 3, 111], Operations: ['72+39=111']
Exploring Operation: 6-3=3, Resulting Numbers: [111, 3]
Generated Node #3: [111, 3] from Operation: 6-3=3
Current State: 37:[111, 3], Operations: ['72+39=111', '6-3=3']
Exploring Operation: 111/3=37, Resulting Numbers: [37]
37,37 equal: Goal Reached
| 4 |
[
15,
57,
9,
26
] | 52 | [
"15*9=135",
"57+26=83",
"135-83=52"
] | Current State: 52:[15, 57, 9, 26], Operations: []
Exploring Operation: 15*9=135, Resulting Numbers: [57, 26, 135]
Generated Node #2: [57, 26, 135] from Operation: 15*9=135
Current State: 52:[57, 26, 135], Operations: ['15*9=135']
Exploring Operation: 57+26=83, Resulting Numbers: [135, 83]
Generated Node #3: [135, 83] from Operation: 57+26=83
Current State: 52:[135, 83], Operations: ['15*9=135', '57+26=83']
Exploring Operation: 135-83=52, Resulting Numbers: [52]
52,52 equal: Goal Reached
| 4 |
[
20,
40,
15,
6
] | 41 | [
"40-20=20",
"15+6=21",
"20+21=41"
] | Current State: 41:[20, 40, 15, 6], Operations: []
Exploring Operation: 40-20=20, Resulting Numbers: [15, 6, 20]
Generated Node #2: [15, 6, 20] from Operation: 40-20=20
Current State: 41:[15, 6, 20], Operations: ['40-20=20']
Exploring Operation: 15+6=21, Resulting Numbers: [20, 21]
Generated Node #3: [20, 21] from Operation: 15+6=21
Current State: 41:[20, 21], Operations: ['40-20=20', '15+6=21']
Exploring Operation: 20+21=41, Resulting Numbers: [41]
41,41 equal: Goal Reached
| 4 |
[
90,
31,
71,
54
] | 24 | [
"71-31=40",
"54*40=2160",
"2160/90=24"
] | Current State: 24:[90, 31, 71, 54], Operations: []
Exploring Operation: 71-31=40, Resulting Numbers: [90, 54, 40]
Generated Node #2: [90, 54, 40] from Operation: 71-31=40
Current State: 24:[90, 54, 40], Operations: ['71-31=40']
Exploring Operation: 54*40=2160, Resulting Numbers: [90, 2160]
Generated Node #3: [90, 2160] from Operation: 54*40=2160
Current State: 24:[90, 2160], Operations: ['71-31=40', '54*40=2160']
Exploring Operation: 2160/90=24, Resulting Numbers: [24]
24,24 equal: Goal Reached
| 4 |
[
19,
5,
2,
20
] | 62 | [
"19*2=38",
"5*20=100",
"100-38=62"
] | Current State: 62:[19, 5, 2, 20], Operations: []
Exploring Operation: 19*2=38, Resulting Numbers: [5, 20, 38]
Generated Node #2: [5, 20, 38] from Operation: 19*2=38
Current State: 62:[5, 20, 38], Operations: ['19*2=38']
Exploring Operation: 5*20=100, Resulting Numbers: [38, 100]
Generated Node #3: [38, 100] from Operation: 5*20=100
Current State: 62:[38, 100], Operations: ['19*2=38', '5*20=100']
Exploring Operation: 100-38=62, Resulting Numbers: [62]
62,62 equal: Goal Reached
| 4 |
[
10,
79,
91,
72
] | 36 | [
"10+79=89",
"91-89=2",
"72/2=36"
] | Current State: 36:[10, 79, 91, 72], Operations: []
Exploring Operation: 10+79=89, Resulting Numbers: [91, 72, 89]
Generated Node #2: [91, 72, 89] from Operation: 10+79=89
Current State: 36:[91, 72, 89], Operations: ['10+79=89']
Exploring Operation: 91-89=2, Resulting Numbers: [72, 2]
Generated Node #3: [72, 2] from Operation: 91-89=2
Current State: 36:[72, 2], Operations: ['10+79=89', '91-89=2']
Exploring Operation: 72/2=36, Resulting Numbers: [36]
36,36 equal: Goal Reached
| 4 |
[
46,
90,
2,
52
] | 53 | [
"46+52=98",
"90/2=45",
"98-45=53"
] | Current State: 53:[46, 90, 2, 52], Operations: []
Exploring Operation: 46+52=98, Resulting Numbers: [90, 2, 98]
Generated Node #2: [90, 2, 98] from Operation: 46+52=98
Current State: 53:[90, 2, 98], Operations: ['46+52=98']
Exploring Operation: 90/2=45, Resulting Numbers: [98, 45]
Generated Node #3: [98, 45] from Operation: 90/2=45
Current State: 53:[98, 45], Operations: ['46+52=98', '90/2=45']
Exploring Operation: 98-45=53, Resulting Numbers: [53]
53,53 equal: Goal Reached
| 4 |
[
87,
58,
25,
63
] | 57 | [
"87+58=145",
"25+63=88",
"145-88=57"
] | Current State: 57:[87, 58, 25, 63], Operations: []
Exploring Operation: 87+58=145, Resulting Numbers: [25, 63, 145]
Generated Node #2: [25, 63, 145] from Operation: 87+58=145
Current State: 57:[25, 63, 145], Operations: ['87+58=145']
Exploring Operation: 25+63=88, Resulting Numbers: [145, 88]
Generated Node #3: [145, 88] from Operation: 25+63=88
Current State: 57:[145, 88], Operations: ['87+58=145', '25+63=88']
Exploring Operation: 145-88=57, Resulting Numbers: [57]
57,57 equal: Goal Reached
| 4 |
[
85,
49,
21,
56
] | 71 | [
"85-49=36",
"56-21=35",
"36+35=71"
] | Current State: 71:[85, 49, 21, 56], Operations: []
Exploring Operation: 85-49=36, Resulting Numbers: [21, 56, 36]
Generated Node #2: [21, 56, 36] from Operation: 85-49=36
Current State: 71:[21, 56, 36], Operations: ['85-49=36']
Exploring Operation: 56-21=35, Resulting Numbers: [36, 35]
Generated Node #3: [36, 35] from Operation: 56-21=35
Current State: 71:[36, 35], Operations: ['85-49=36', '56-21=35']
Exploring Operation: 36+35=71, Resulting Numbers: [71]
71,71 equal: Goal Reached
| 4 |
[
83,
44,
49,
48
] | 51 | [
"83+49=132",
"132/44=3",
"48+3=51"
] | Current State: 51:[83, 44, 49, 48], Operations: []
Exploring Operation: 83+49=132, Resulting Numbers: [44, 48, 132]
Generated Node #2: [44, 48, 132] from Operation: 83+49=132
Current State: 51:[44, 48, 132], Operations: ['83+49=132']
Exploring Operation: 132/44=3, Resulting Numbers: [48, 3]
Generated Node #3: [48, 3] from Operation: 132/44=3
Current State: 51:[48, 3], Operations: ['83+49=132', '132/44=3']
Exploring Operation: 48+3=51, Resulting Numbers: [51]
51,51 equal: Goal Reached
| 4 |
[
44,
17,
11,
81
] | 13 | [
"44*17=748",
"748/11=68",
"81-68=13"
] | Current State: 13:[44, 17, 11, 81], Operations: []
Exploring Operation: 44*17=748, Resulting Numbers: [11, 81, 748]
Generated Node #2: [11, 81, 748] from Operation: 44*17=748
Current State: 13:[11, 81, 748], Operations: ['44*17=748']
Exploring Operation: 748/11=68, Resulting Numbers: [81, 68]
Generated Node #3: [81, 68] from Operation: 748/11=68
Current State: 13:[81, 68], Operations: ['44*17=748', '748/11=68']
Exploring Operation: 81-68=13, Resulting Numbers: [13]
13,13 equal: Goal Reached
| 4 |
[
84,
4,
60,
74
] | 28 | [
"74-60=14",
"4*14=56",
"84-56=28"
] | Current State: 28:[84, 4, 60, 74], Operations: []
Exploring Operation: 74-60=14, Resulting Numbers: [84, 4, 14]
Generated Node #2: [84, 4, 14] from Operation: 74-60=14
Current State: 28:[84, 4, 14], Operations: ['74-60=14']
Exploring Operation: 4*14=56, Resulting Numbers: [84, 56]
Generated Node #3: [84, 56] from Operation: 4*14=56
Current State: 28:[84, 56], Operations: ['74-60=14', '4*14=56']
Exploring Operation: 84-56=28, Resulting Numbers: [28]
28,28 equal: Goal Reached
| 4 |
[
8,
13,
43,
94
] | 87 | [
"13+43=56",
"56/8=7",
"94-7=87"
] | Current State: 87:[8, 13, 43, 94], Operations: []
Exploring Operation: 13+43=56, Resulting Numbers: [8, 94, 56]
Generated Node #2: [8, 94, 56] from Operation: 13+43=56
Current State: 87:[8, 94, 56], Operations: ['13+43=56']
Exploring Operation: 56/8=7, Resulting Numbers: [94, 7]
Generated Node #3: [94, 7] from Operation: 56/8=7
Current State: 87:[94, 7], Operations: ['13+43=56', '56/8=7']
Exploring Operation: 94-7=87, Resulting Numbers: [87]
87,87 equal: Goal Reached
| 4 |
[
24,
37,
36,
21
] | 71 | [
"24-21=3",
"36*3=108",
"108-37=71"
] | Current State: 71:[24, 37, 36, 21], Operations: []
Exploring Operation: 24-21=3, Resulting Numbers: [37, 36, 3]
Generated Node #2: [37, 36, 3] from Operation: 24-21=3
Current State: 71:[37, 36, 3], Operations: ['24-21=3']
Exploring Operation: 36*3=108, Resulting Numbers: [37, 108]
Generated Node #3: [37, 108] from Operation: 36*3=108
Current State: 71:[37, 108], Operations: ['24-21=3', '36*3=108']
Exploring Operation: 108-37=71, Resulting Numbers: [71]
71,71 equal: Goal Reached
| 4 |
[
96,
97,
34,
4
] | 29 | [
"97-96=1",
"34-4=30",
"30-1=29"
] | Current State: 29:[96, 97, 34, 4], Operations: []
Exploring Operation: 97-96=1, Resulting Numbers: [34, 4, 1]
Generated Node #2: [34, 4, 1] from Operation: 97-96=1
Current State: 29:[34, 4, 1], Operations: ['97-96=1']
Exploring Operation: 34-4=30, Resulting Numbers: [1, 30]
Generated Node #3: [1, 30] from Operation: 34-4=30
Current State: 29:[1, 30], Operations: ['97-96=1', '34-4=30']
Exploring Operation: 30-1=29, Resulting Numbers: [29]
29,29 equal: Goal Reached
| 4 |
[
93,
22,
7,
9
] | 42 | [
"22-7=15",
"9*15=135",
"135-93=42"
] | Current State: 42:[93, 22, 7, 9], Operations: []
Exploring Operation: 22-7=15, Resulting Numbers: [93, 9, 15]
Generated Node #2: [93, 9, 15] from Operation: 22-7=15
Current State: 42:[93, 9, 15], Operations: ['22-7=15']
Exploring Operation: 9*15=135, Resulting Numbers: [93, 135]
Generated Node #3: [93, 135] from Operation: 9*15=135
Current State: 42:[93, 135], Operations: ['22-7=15', '9*15=135']
Exploring Operation: 135-93=42, Resulting Numbers: [42]
42,42 equal: Goal Reached
| 4 |
[
36,
77,
14,
60
] | 39 | [
"36+77=113",
"14+60=74",
"113-74=39"
] | Current State: 39:[36, 77, 14, 60], Operations: []
Exploring Operation: 36+77=113, Resulting Numbers: [14, 60, 113]
Generated Node #2: [14, 60, 113] from Operation: 36+77=113
Current State: 39:[14, 60, 113], Operations: ['36+77=113']
Exploring Operation: 14+60=74, Resulting Numbers: [113, 74]
Generated Node #3: [113, 74] from Operation: 14+60=74
Current State: 39:[113, 74], Operations: ['36+77=113', '14+60=74']
Exploring Operation: 113-74=39, Resulting Numbers: [39]
39,39 equal: Goal Reached
| 4 |
[
2,
22,
95,
74
] | 64 | [
"95-74=21",
"2*21=42",
"22+42=64"
] | Current State: 64:[2, 22, 95, 74], Operations: []
Exploring Operation: 95-74=21, Resulting Numbers: [2, 22, 21]
Generated Node #2: [2, 22, 21] from Operation: 95-74=21
Current State: 64:[2, 22, 21], Operations: ['95-74=21']
Exploring Operation: 2*21=42, Resulting Numbers: [22, 42]
Generated Node #3: [22, 42] from Operation: 2*21=42
Current State: 64:[22, 42], Operations: ['95-74=21', '2*21=42']
Exploring Operation: 22+42=64, Resulting Numbers: [64]
64,64 equal: Goal Reached
| 4 |
[
70,
16,
76,
36
] | 58 | [
"70-16=54",
"76+36=112",
"112-54=58"
] | Current State: 58:[70, 16, 76, 36], Operations: []
Exploring Operation: 70-16=54, Resulting Numbers: [76, 36, 54]
Generated Node #2: [76, 36, 54] from Operation: 70-16=54
Current State: 58:[76, 36, 54], Operations: ['70-16=54']
Exploring Operation: 76+36=112, Resulting Numbers: [54, 112]
Generated Node #3: [54, 112] from Operation: 76+36=112
Current State: 58:[54, 112], Operations: ['70-16=54', '76+36=112']
Exploring Operation: 112-54=58, Resulting Numbers: [58]
58,58 equal: Goal Reached
| 4 |
[
17,
5,
21,
7
] | 13 | [
"21-17=4",
"5*4=20",
"20-7=13"
] | Current State: 13:[17, 5, 21, 7], Operations: []
Exploring Operation: 21-17=4, Resulting Numbers: [5, 7, 4]
Generated Node #2: [5, 7, 4] from Operation: 21-17=4
Current State: 13:[5, 7, 4], Operations: ['21-17=4']
Exploring Operation: 5*4=20, Resulting Numbers: [7, 20]
Generated Node #3: [7, 20] from Operation: 5*4=20
Current State: 13:[7, 20], Operations: ['21-17=4', '5*4=20']
Exploring Operation: 20-7=13, Resulting Numbers: [13]
13,13 equal: Goal Reached
| 4 |
[
27,
12,
65,
20
] | 84 | [
"27+12=39",
"65-20=45",
"39+45=84"
] | Current State: 84:[27, 12, 65, 20], Operations: []
Exploring Operation: 27+12=39, Resulting Numbers: [65, 20, 39]
Generated Node #2: [65, 20, 39] from Operation: 27+12=39
Current State: 84:[65, 20, 39], Operations: ['27+12=39']
Exploring Operation: 65-20=45, Resulting Numbers: [39, 45]
Generated Node #3: [39, 45] from Operation: 65-20=45
Current State: 84:[39, 45], Operations: ['27+12=39', '65-20=45']
Exploring Operation: 39+45=84, Resulting Numbers: [84]
84,84 equal: Goal Reached
| 4 |
[
12,
34,
60,
23
] | 72 | [
"34-23=11",
"12*11=132",
"132-60=72"
] | Current State: 72:[12, 34, 60, 23], Operations: []
Exploring Operation: 34-23=11, Resulting Numbers: [12, 60, 11]
Generated Node #2: [12, 60, 11] from Operation: 34-23=11
Current State: 72:[12, 60, 11], Operations: ['34-23=11']
Exploring Operation: 12*11=132, Resulting Numbers: [60, 132]
Generated Node #3: [60, 132] from Operation: 12*11=132
Current State: 72:[60, 132], Operations: ['34-23=11', '12*11=132']
Exploring Operation: 132-60=72, Resulting Numbers: [72]
72,72 equal: Goal Reached
| 4 |
[
10,
68,
15,
24
] | 32 | [
"15*24=360",
"360/10=36",
"68-36=32"
] | Current State: 32:[10, 68, 15, 24], Operations: []
Exploring Operation: 15*24=360, Resulting Numbers: [10, 68, 360]
Generated Node #2: [10, 68, 360] from Operation: 15*24=360
Current State: 32:[10, 68, 360], Operations: ['15*24=360']
Exploring Operation: 360/10=36, Resulting Numbers: [68, 36]
Generated Node #3: [68, 36] from Operation: 360/10=36
Current State: 32:[68, 36], Operations: ['15*24=360', '360/10=36']
Exploring Operation: 68-36=32, Resulting Numbers: [32]
32,32 equal: Goal Reached
| 4 |
[
78,
2,
89,
55
] | 95 | [
"89-55=34",
"34/2=17",
"78+17=95"
] | Current State: 95:[78, 2, 89, 55], Operations: []
Exploring Operation: 89-55=34, Resulting Numbers: [78, 2, 34]
Generated Node #2: [78, 2, 34] from Operation: 89-55=34
Current State: 95:[78, 2, 34], Operations: ['89-55=34']
Exploring Operation: 34/2=17, Resulting Numbers: [78, 17]
Generated Node #3: [78, 17] from Operation: 34/2=17
Current State: 95:[78, 17], Operations: ['89-55=34', '34/2=17']
Exploring Operation: 78+17=95, Resulting Numbers: [95]
95,95 equal: Goal Reached
| 4 |
[
5,
3,
59,
75
] | 95 | [
"59-3=56",
"75-56=19",
"5*19=95"
] | Current State: 95:[5, 3, 59, 75], Operations: []
Exploring Operation: 59-3=56, Resulting Numbers: [5, 75, 56]
Generated Node #2: [5, 75, 56] from Operation: 59-3=56
Current State: 95:[5, 75, 56], Operations: ['59-3=56']
Exploring Operation: 75-56=19, Resulting Numbers: [5, 19]
Generated Node #3: [5, 19] from Operation: 75-56=19
Current State: 95:[5, 19], Operations: ['59-3=56', '75-56=19']
Exploring Operation: 5*19=95, Resulting Numbers: [95]
95,95 equal: Goal Reached
| 4 |
[
21,
67,
19,
15
] | 80 | [
"67-21=46",
"19+15=34",
"46+34=80"
] | Current State: 80:[21, 67, 19, 15], Operations: []
Exploring Operation: 67-21=46, Resulting Numbers: [19, 15, 46]
Generated Node #2: [19, 15, 46] from Operation: 67-21=46
Current State: 80:[19, 15, 46], Operations: ['67-21=46']
Exploring Operation: 19+15=34, Resulting Numbers: [46, 34]
Generated Node #3: [46, 34] from Operation: 19+15=34
Current State: 80:[46, 34], Operations: ['67-21=46', '19+15=34']
Exploring Operation: 46+34=80, Resulting Numbers: [80]
80,80 equal: Goal Reached
| 4 |
[
66,
26,
85,
88
] | 43 | [
"66-26=40",
"88-85=3",
"40+3=43"
] | Current State: 43:[66, 26, 85, 88], Operations: []
Exploring Operation: 66-26=40, Resulting Numbers: [85, 88, 40]
Generated Node #2: [85, 88, 40] from Operation: 66-26=40
Current State: 43:[85, 88, 40], Operations: ['66-26=40']
Exploring Operation: 88-85=3, Resulting Numbers: [40, 3]
Generated Node #3: [40, 3] from Operation: 88-85=3
Current State: 43:[40, 3], Operations: ['66-26=40', '88-85=3']
Exploring Operation: 40+3=43, Resulting Numbers: [43]
43,43 equal: Goal Reached
| 4 |
[
15,
38,
81,
9
] | 92 | [
"15*9=135",
"81-38=43",
"135-43=92"
] | Current State: 92:[15, 38, 81, 9], Operations: []
Exploring Operation: 15*9=135, Resulting Numbers: [38, 81, 135]
Generated Node #2: [38, 81, 135] from Operation: 15*9=135
Current State: 92:[38, 81, 135], Operations: ['15*9=135']
Exploring Operation: 81-38=43, Resulting Numbers: [135, 43]
Generated Node #3: [135, 43] from Operation: 81-38=43
Current State: 92:[135, 43], Operations: ['15*9=135', '81-38=43']
Exploring Operation: 135-43=92, Resulting Numbers: [92]
92,92 equal: Goal Reached
| 4 |
[
33,
87,
26,
95
] | 56 | [
"33-26=7",
"95-87=8",
"7*8=56"
] | Current State: 56:[33, 87, 26, 95], Operations: []
Exploring Operation: 33-26=7, Resulting Numbers: [87, 95, 7]
Generated Node #2: [87, 95, 7] from Operation: 33-26=7
Current State: 56:[87, 95, 7], Operations: ['33-26=7']
Exploring Operation: 95-87=8, Resulting Numbers: [7, 8]
Generated Node #3: [7, 8] from Operation: 95-87=8
Current State: 56:[7, 8], Operations: ['33-26=7', '95-87=8']
Exploring Operation: 7*8=56, Resulting Numbers: [56]
56,56 equal: Goal Reached
| 4 |
[
1,
5,
15,
31
] | 91 | [
"5-1=4",
"15*4=60",
"31+60=91"
] | Current State: 91:[1, 5, 15, 31], Operations: []
Exploring Operation: 5-1=4, Resulting Numbers: [15, 31, 4]
Generated Node #2: [15, 31, 4] from Operation: 5-1=4
Current State: 91:[15, 31, 4], Operations: ['5-1=4']
Exploring Operation: 15*4=60, Resulting Numbers: [31, 60]
Generated Node #3: [31, 60] from Operation: 15*4=60
Current State: 91:[31, 60], Operations: ['5-1=4', '15*4=60']
Exploring Operation: 31+60=91, Resulting Numbers: [91]
91,91 equal: Goal Reached
| 4 |
[
9,
29,
70,
79
] | 30 | [
"9+70=79",
"79/79=1",
"29+1=30"
] | Current State: 30:[9, 29, 70, 79], Operations: []
Exploring Operation: 9+70=79, Resulting Numbers: [29, 79, 79]
Generated Node #2: [29, 79, 79] from Operation: 9+70=79
Current State: 30:[29, 79, 79], Operations: ['9+70=79']
Exploring Operation: 79/79=1, Resulting Numbers: [29, 1]
Generated Node #3: [29, 1] from Operation: 79/79=1
Current State: 30:[29, 1], Operations: ['9+70=79', '79/79=1']
Exploring Operation: 29+1=30, Resulting Numbers: [30]
30,30 equal: Goal Reached
| 4 |
[
24,
65,
58,
56
] | 32 | [
"65-58=7",
"56/7=8",
"24+8=32"
] | Current State: 32:[24, 65, 58, 56], Operations: []
Exploring Operation: 65-58=7, Resulting Numbers: [24, 56, 7]
Generated Node #2: [24, 56, 7] from Operation: 65-58=7
Current State: 32:[24, 56, 7], Operations: ['65-58=7']
Exploring Operation: 56/7=8, Resulting Numbers: [24, 8]
Generated Node #3: [24, 8] from Operation: 56/7=8
Current State: 32:[24, 8], Operations: ['65-58=7', '56/7=8']
Exploring Operation: 24+8=32, Resulting Numbers: [32]
32,32 equal: Goal Reached
| 4 |
[
58,
5,
20,
6
] | 92 | [
"5+20=25",
"6*25=150",
"150-58=92"
] | Current State: 92:[58, 5, 20, 6], Operations: []
Exploring Operation: 5+20=25, Resulting Numbers: [58, 6, 25]
Generated Node #2: [58, 6, 25] from Operation: 5+20=25
Current State: 92:[58, 6, 25], Operations: ['5+20=25']
Exploring Operation: 6*25=150, Resulting Numbers: [58, 150]
Generated Node #3: [58, 150] from Operation: 6*25=150
Current State: 92:[58, 150], Operations: ['5+20=25', '6*25=150']
Exploring Operation: 150-58=92, Resulting Numbers: [92]
92,92 equal: Goal Reached
| 4 |
[
76,
93,
64,
16
] | 97 | [
"93-76=17",
"64+16=80",
"17+80=97"
] | Current State: 97:[76, 93, 64, 16], Operations: []
Exploring Operation: 93-76=17, Resulting Numbers: [64, 16, 17]
Generated Node #2: [64, 16, 17] from Operation: 93-76=17
Current State: 97:[64, 16, 17], Operations: ['93-76=17']
Exploring Operation: 64+16=80, Resulting Numbers: [17, 80]
Generated Node #3: [17, 80] from Operation: 64+16=80
Current State: 97:[17, 80], Operations: ['93-76=17', '64+16=80']
Exploring Operation: 17+80=97, Resulting Numbers: [97]
97,97 equal: Goal Reached
| 4 |
[
11,
85,
98,
81
] | 55 | [
"11*85=935",
"98-81=17",
"935/17=55"
] | Current State: 55:[11, 85, 98, 81], Operations: []
Exploring Operation: 11*85=935, Resulting Numbers: [98, 81, 935]
Generated Node #2: [98, 81, 935] from Operation: 11*85=935
Current State: 55:[98, 81, 935], Operations: ['11*85=935']
Exploring Operation: 98-81=17, Resulting Numbers: [935, 17]
Generated Node #3: [935, 17] from Operation: 98-81=17
Current State: 55:[935, 17], Operations: ['11*85=935', '98-81=17']
Exploring Operation: 935/17=55, Resulting Numbers: [55]
55,55 equal: Goal Reached
| 4 |
[
81,
10,
7,
55
] | 96 | [
"81-55=26",
"10*7=70",
"26+70=96"
] | Current State: 96:[81, 10, 7, 55], Operations: []
Exploring Operation: 81-55=26, Resulting Numbers: [10, 7, 26]
Generated Node #2: [10, 7, 26] from Operation: 81-55=26
Current State: 96:[10, 7, 26], Operations: ['81-55=26']
Exploring Operation: 10*7=70, Resulting Numbers: [26, 70]
Generated Node #3: [26, 70] from Operation: 10*7=70
Current State: 96:[26, 70], Operations: ['81-55=26', '10*7=70']
Exploring Operation: 26+70=96, Resulting Numbers: [96]
96,96 equal: Goal Reached
| 4 |
[
25,
24,
4,
78
] | 83 | [
"25-24=1",
"4+78=82",
"1+82=83"
] | Current State: 83:[25, 24, 4, 78], Operations: []
Exploring Operation: 25-24=1, Resulting Numbers: [4, 78, 1]
Generated Node #2: [4, 78, 1] from Operation: 25-24=1
Current State: 83:[4, 78, 1], Operations: ['25-24=1']
Exploring Operation: 4+78=82, Resulting Numbers: [1, 82]
Generated Node #3: [1, 82] from Operation: 4+78=82
Current State: 83:[1, 82], Operations: ['25-24=1', '4+78=82']
Exploring Operation: 1+82=83, Resulting Numbers: [83]
83,83 equal: Goal Reached
| 4 |
[
58,
73,
74,
29
] | 30 | [
"73-58=15",
"74-29=45",
"45-15=30"
] | Current State: 30:[58, 73, 74, 29], Operations: []
Exploring Operation: 73-58=15, Resulting Numbers: [74, 29, 15]
Generated Node #2: [74, 29, 15] from Operation: 73-58=15
Current State: 30:[74, 29, 15], Operations: ['73-58=15']
Exploring Operation: 74-29=45, Resulting Numbers: [15, 45]
Generated Node #3: [15, 45] from Operation: 74-29=45
Current State: 30:[15, 45], Operations: ['73-58=15', '74-29=45']
Exploring Operation: 45-15=30, Resulting Numbers: [30]
30,30 equal: Goal Reached
| 4 |
[
60,
75,
10,
55
] | 77 | [
"60-55=5",
"10/5=2",
"75+2=77"
] | Current State: 77:[60, 75, 10, 55], Operations: []
Exploring Operation: 60-55=5, Resulting Numbers: [75, 10, 5]
Generated Node #2: [75, 10, 5] from Operation: 60-55=5
Current State: 77:[75, 10, 5], Operations: ['60-55=5']
Exploring Operation: 10/5=2, Resulting Numbers: [75, 2]
Generated Node #3: [75, 2] from Operation: 10/5=2
Current State: 77:[75, 2], Operations: ['60-55=5', '10/5=2']
Exploring Operation: 75+2=77, Resulting Numbers: [77]
77,77 equal: Goal Reached
| 4 |
[
26,
48,
32,
62
] | 23 | [
"26*48=1248",
"1248/32=39",
"62-39=23"
] | Current State: 23:[26, 48, 32, 62], Operations: []
Exploring Operation: 26*48=1248, Resulting Numbers: [32, 62, 1248]
Generated Node #2: [32, 62, 1248] from Operation: 26*48=1248
Current State: 23:[32, 62, 1248], Operations: ['26*48=1248']
Exploring Operation: 1248/32=39, Resulting Numbers: [62, 39]
Generated Node #3: [62, 39] from Operation: 1248/32=39
Current State: 23:[62, 39], Operations: ['26*48=1248', '1248/32=39']
Exploring Operation: 62-39=23, Resulting Numbers: [23]
23,23 equal: Goal Reached
| 4 |
[
11,
3,
48,
66
] | 57 | [
"66/11=6",
"3+48=51",
"6+51=57"
] | Current State: 57:[11, 3, 48, 66], Operations: []
Exploring Operation: 66/11=6, Resulting Numbers: [3, 48, 6]
Generated Node #2: [3, 48, 6] from Operation: 66/11=6
Current State: 57:[3, 48, 6], Operations: ['66/11=6']
Exploring Operation: 3+48=51, Resulting Numbers: [6, 51]
Generated Node #3: [6, 51] from Operation: 3+48=51
Current State: 57:[6, 51], Operations: ['66/11=6', '3+48=51']
Exploring Operation: 6+51=57, Resulting Numbers: [57]
57,57 equal: Goal Reached
| 4 |
[
10,
78,
9,
82
] | 66 | [
"9*82=738",
"738-78=660",
"660/10=66"
] | Current State: 66:[10, 78, 9, 82], Operations: []
Exploring Operation: 9*82=738, Resulting Numbers: [10, 78, 738]
Generated Node #2: [10, 78, 738] from Operation: 9*82=738
Current State: 66:[10, 78, 738], Operations: ['9*82=738']
Exploring Operation: 738-78=660, Resulting Numbers: [10, 660]
Generated Node #3: [10, 660] from Operation: 738-78=660
Current State: 66:[10, 660], Operations: ['9*82=738', '738-78=660']
Exploring Operation: 660/10=66, Resulting Numbers: [66]
66,66 equal: Goal Reached
| 4 |
[
95,
74,
9,
86
] | 74 | [
"95+74=169",
"9+86=95",
"169-95=74"
] | Current State: 74:[95, 74, 9, 86], Operations: []
Exploring Operation: 95+74=169, Resulting Numbers: [9, 86, 169]
Generated Node #2: [9, 86, 169] from Operation: 95+74=169
Current State: 74:[9, 86, 169], Operations: ['95+74=169']
Exploring Operation: 9+86=95, Resulting Numbers: [169, 95]
Generated Node #3: [169, 95] from Operation: 9+86=95
Current State: 74:[169, 95], Operations: ['95+74=169', '9+86=95']
Exploring Operation: 169-95=74, Resulting Numbers: [74]
74,74 equal: Goal Reached
| 4 |
[
88,
5,
10,
88
] | 88 | [
"88*10=880",
"880/5=176",
"176-88=88"
] | Current State: 88:[88, 5, 10, 88], Operations: []
Exploring Operation: 88*10=880, Resulting Numbers: [5, 880]
Generated Node #2: [5, 880] from Operation: 88*10=880
Current State: 88:[5, 880], Operations: ['88*10=880']
Exploring Operation: 880/5=176, Resulting Numbers: [176]
176,88 equal: Goal Reached
Exploring Operation: 176-88=88, Resulting Numbers: [88]
88,88 equal: Goal Reached
| 4 |
[
27,
17,
75,
14
] | 79 | [
"27-17=10",
"75+14=89",
"89-10=79"
] | Current State: 79:[27, 17, 75, 14], Operations: []
Exploring Operation: 27-17=10, Resulting Numbers: [75, 14, 10]
Generated Node #2: [75, 14, 10] from Operation: 27-17=10
Current State: 79:[75, 14, 10], Operations: ['27-17=10']
Exploring Operation: 75+14=89, Resulting Numbers: [10, 89]
Generated Node #3: [10, 89] from Operation: 75+14=89
Current State: 79:[10, 89], Operations: ['27-17=10', '75+14=89']
Exploring Operation: 89-10=79, Resulting Numbers: [79]
79,79 equal: Goal Reached
| 4 |
[
20,
17,
16,
25
] | 23 | [
"20-17=3",
"16*3=48",
"48-25=23"
] | Current State: 23:[20, 17, 16, 25], Operations: []
Exploring Operation: 20-17=3, Resulting Numbers: [16, 25, 3]
Generated Node #2: [16, 25, 3] from Operation: 20-17=3
Current State: 23:[16, 25, 3], Operations: ['20-17=3']
Exploring Operation: 16*3=48, Resulting Numbers: [25, 48]
Generated Node #3: [25, 48] from Operation: 16*3=48
Current State: 23:[25, 48], Operations: ['20-17=3', '16*3=48']
Exploring Operation: 48-25=23, Resulting Numbers: [23]
23,23 equal: Goal Reached
| 4 |
[
58,
21,
27,
23
] | 56 | [
"23-21=2",
"58/2=29",
"27+29=56"
] | Current State: 56:[58, 21, 27, 23], Operations: []
Exploring Operation: 23-21=2, Resulting Numbers: [58, 27, 2]
Generated Node #2: [58, 27, 2] from Operation: 23-21=2
Current State: 56:[58, 27, 2], Operations: ['23-21=2']
Exploring Operation: 58/2=29, Resulting Numbers: [27, 29]
Generated Node #3: [27, 29] from Operation: 58/2=29
Current State: 56:[27, 29], Operations: ['23-21=2', '58/2=29']
Exploring Operation: 27+29=56, Resulting Numbers: [56]
56,56 equal: Goal Reached
| 4 |
[
15,
64,
12,
91
] | 81 | [
"15-12=3",
"91-64=27",
"3*27=81"
] | Current State: 81:[15, 64, 12, 91], Operations: []
Exploring Operation: 15-12=3, Resulting Numbers: [64, 91, 3]
Generated Node #2: [64, 91, 3] from Operation: 15-12=3
Current State: 81:[64, 91, 3], Operations: ['15-12=3']
Exploring Operation: 91-64=27, Resulting Numbers: [3, 27]
Generated Node #3: [3, 27] from Operation: 91-64=27
Current State: 81:[3, 27], Operations: ['15-12=3', '91-64=27']
Exploring Operation: 3*27=81, Resulting Numbers: [81]
81,81 equal: Goal Reached
| 4 |
[
16,
15,
95,
88
] | 83 | [
"95-15=80",
"80/16=5",
"88-5=83"
] | Current State: 83:[16, 15, 95, 88], Operations: []
Exploring Operation: 95-15=80, Resulting Numbers: [16, 88, 80]
Generated Node #2: [16, 88, 80] from Operation: 95-15=80
Current State: 83:[16, 88, 80], Operations: ['95-15=80']
Exploring Operation: 80/16=5, Resulting Numbers: [88, 5]
Generated Node #3: [88, 5] from Operation: 80/16=5
Current State: 83:[88, 5], Operations: ['95-15=80', '80/16=5']
Exploring Operation: 88-5=83, Resulting Numbers: [83]
83,83 equal: Goal Reached
| 4 |
[
72,
85,
12,
30
] | 80 | [
"72/12=6",
"30/6=5",
"85-5=80"
] | Current State: 80:[72, 85, 12, 30], Operations: []
Exploring Operation: 72/12=6, Resulting Numbers: [85, 30, 6]
Generated Node #2: [85, 30, 6] from Operation: 72/12=6
Current State: 80:[85, 30, 6], Operations: ['72/12=6']
Exploring Operation: 30/6=5, Resulting Numbers: [85, 5]
Generated Node #3: [85, 5] from Operation: 30/6=5
Current State: 80:[85, 5], Operations: ['72/12=6', '30/6=5']
Exploring Operation: 85-5=80, Resulting Numbers: [80]
80,80 equal: Goal Reached
| 4 |
[
1,
76,
82,
96
] | 15 | [
"82-76=6",
"96/6=16",
"16-1=15"
] | Current State: 15:[1, 76, 82, 96], Operations: []
Exploring Operation: 82-76=6, Resulting Numbers: [1, 96, 6]
Generated Node #2: [1, 96, 6] from Operation: 82-76=6
Current State: 15:[1, 96, 6], Operations: ['82-76=6']
Exploring Operation: 96/6=16, Resulting Numbers: [1, 16]
Generated Node #3: [1, 16] from Operation: 96/6=16
Current State: 15:[1, 16], Operations: ['82-76=6', '96/6=16']
Exploring Operation: 16-1=15, Resulting Numbers: [15]
15,15 equal: Goal Reached
| 4 |
[
21,
15,
1,
2
] | 37 | [
"21+15=36",
"2-1=1",
"36+1=37"
] | Current State: 37:[21, 15, 1, 2], Operations: []
Exploring Operation: 21+15=36, Resulting Numbers: [1, 2, 36]
Generated Node #2: [1, 2, 36] from Operation: 21+15=36
Current State: 37:[1, 2, 36], Operations: ['21+15=36']
Exploring Operation: 2-1=1, Resulting Numbers: [36, 1]
Generated Node #3: [36, 1] from Operation: 2-1=1
Current State: 37:[36, 1], Operations: ['21+15=36', '2-1=1']
Exploring Operation: 36+1=37, Resulting Numbers: [37]
37,37 equal: Goal Reached
| 4 |
[
14,
65,
5,
36
] | 63 | [
"14+36=50",
"65/5=13",
"50+13=63"
] | Current State: 63:[14, 65, 5, 36], Operations: []
Exploring Operation: 14+36=50, Resulting Numbers: [65, 5, 50]
Generated Node #2: [65, 5, 50] from Operation: 14+36=50
Current State: 63:[65, 5, 50], Operations: ['14+36=50']
Exploring Operation: 65/5=13, Resulting Numbers: [50, 13]
Generated Node #3: [50, 13] from Operation: 65/5=13
Current State: 63:[50, 13], Operations: ['14+36=50', '65/5=13']
Exploring Operation: 50+13=63, Resulting Numbers: [63]
63,63 equal: Goal Reached
| 4 |
[
59,
57,
26,
67
] | 39 | [
"59-57=2",
"67-26=41",
"41-2=39"
] | Current State: 39:[59, 57, 26, 67], Operations: []
Exploring Operation: 59-57=2, Resulting Numbers: [26, 67, 2]
Generated Node #2: [26, 67, 2] from Operation: 59-57=2
Current State: 39:[26, 67, 2], Operations: ['59-57=2']
Exploring Operation: 67-26=41, Resulting Numbers: [2, 41]
Generated Node #3: [2, 41] from Operation: 67-26=41
Current State: 39:[2, 41], Operations: ['59-57=2', '67-26=41']
Exploring Operation: 41-2=39, Resulting Numbers: [39]
39,39 equal: Goal Reached
| 4 |
[
38,
79,
46,
56
] | 51 | [
"79-38=41",
"56-46=10",
"41+10=51"
] | Current State: 51:[38, 79, 46, 56], Operations: []
Exploring Operation: 79-38=41, Resulting Numbers: [46, 56, 41]
Generated Node #2: [46, 56, 41] from Operation: 79-38=41
Current State: 51:[46, 56, 41], Operations: ['79-38=41']
Exploring Operation: 56-46=10, Resulting Numbers: [41, 10]
Generated Node #3: [41, 10] from Operation: 56-46=10
Current State: 51:[41, 10], Operations: ['79-38=41', '56-46=10']
Exploring Operation: 41+10=51, Resulting Numbers: [51]
51,51 equal: Goal Reached
| 4 |
[
3,
26,
55,
4
] | 23 | [
"26+55=81",
"81/3=27",
"27-4=23"
] | Current State: 23:[3, 26, 55, 4], Operations: []
Exploring Operation: 26+55=81, Resulting Numbers: [3, 4, 81]
Generated Node #2: [3, 4, 81] from Operation: 26+55=81
Current State: 23:[3, 4, 81], Operations: ['26+55=81']
Exploring Operation: 81/3=27, Resulting Numbers: [4, 27]
Generated Node #3: [4, 27] from Operation: 81/3=27
Current State: 23:[4, 27], Operations: ['26+55=81', '81/3=27']
Exploring Operation: 27-4=23, Resulting Numbers: [23]
23,23 equal: Goal Reached
| 4 |
[
27,
40,
59,
69
] | 23 | [
"40-27=13",
"69-59=10",
"13+10=23"
] | Current State: 23:[27, 40, 59, 69], Operations: []
Exploring Operation: 40-27=13, Resulting Numbers: [59, 69, 13]
Generated Node #2: [59, 69, 13] from Operation: 40-27=13
Current State: 23:[59, 69, 13], Operations: ['40-27=13']
Exploring Operation: 69-59=10, Resulting Numbers: [13, 10]
Generated Node #3: [13, 10] from Operation: 69-59=10
Current State: 23:[13, 10], Operations: ['40-27=13', '69-59=10']
Exploring Operation: 13+10=23, Resulting Numbers: [23]
23,23 equal: Goal Reached
| 4 |
[
45,
26,
7,
31
] | 72 | [
"45-31=14",
"7*14=98",
"98-26=72"
] | Current State: 72:[45, 26, 7, 31], Operations: []
Exploring Operation: 45-31=14, Resulting Numbers: [26, 7, 14]
Generated Node #2: [26, 7, 14] from Operation: 45-31=14
Current State: 72:[26, 7, 14], Operations: ['45-31=14']
Exploring Operation: 7*14=98, Resulting Numbers: [26, 98]
Generated Node #3: [26, 98] from Operation: 7*14=98
Current State: 72:[26, 98], Operations: ['45-31=14', '7*14=98']
Exploring Operation: 98-26=72, Resulting Numbers: [72]
72,72 equal: Goal Reached
| 4 |
[
33,
56,
48,
82
] | 55 | [
"33+56=89",
"82-48=34",
"89-34=55"
] | Current State: 55:[33, 56, 48, 82], Operations: []
Exploring Operation: 33+56=89, Resulting Numbers: [48, 82, 89]
Generated Node #2: [48, 82, 89] from Operation: 33+56=89
Current State: 55:[48, 82, 89], Operations: ['33+56=89']
Exploring Operation: 82-48=34, Resulting Numbers: [89, 34]
Generated Node #3: [89, 34] from Operation: 82-48=34
Current State: 55:[89, 34], Operations: ['33+56=89', '82-48=34']
Exploring Operation: 89-34=55, Resulting Numbers: [55]
55,55 equal: Goal Reached
| 4 |
[
30,
5,
28,
62
] | 65 | [
"30-5=25",
"28+62=90",
"90-25=65"
] | Current State: 65:[30, 5, 28, 62], Operations: []
Exploring Operation: 30-5=25, Resulting Numbers: [28, 62, 25]
Generated Node #2: [28, 62, 25] from Operation: 30-5=25
Current State: 65:[28, 62, 25], Operations: ['30-5=25']
Exploring Operation: 28+62=90, Resulting Numbers: [25, 90]
Generated Node #3: [25, 90] from Operation: 28+62=90
Current State: 65:[25, 90], Operations: ['30-5=25', '28+62=90']
Exploring Operation: 90-25=65, Resulting Numbers: [65]
65,65 equal: Goal Reached
| 4 |
[
13,
29,
50,
80
] | 45 | [
"29-13=16",
"80/16=5",
"50-5=45"
] | Current State: 45:[13, 29, 50, 80], Operations: []
Exploring Operation: 29-13=16, Resulting Numbers: [50, 80, 16]
Generated Node #2: [50, 80, 16] from Operation: 29-13=16
Current State: 45:[50, 80, 16], Operations: ['29-13=16']
Exploring Operation: 80/16=5, Resulting Numbers: [50, 5]
Generated Node #3: [50, 5] from Operation: 80/16=5
Current State: 45:[50, 5], Operations: ['29-13=16', '80/16=5']
Exploring Operation: 50-5=45, Resulting Numbers: [45]
45,45 equal: Goal Reached
| 4 |
[
43,
34,
65,
64
] | 52 | [
"43+34=77",
"65+64=129",
"129-77=52"
] | Current State: 52:[43, 34, 65, 64], Operations: []
Exploring Operation: 43+34=77, Resulting Numbers: [65, 64, 77]
Generated Node #2: [65, 64, 77] from Operation: 43+34=77
Current State: 52:[65, 64, 77], Operations: ['43+34=77']
Exploring Operation: 65+64=129, Resulting Numbers: [77, 129]
Generated Node #3: [77, 129] from Operation: 65+64=129
Current State: 52:[77, 129], Operations: ['43+34=77', '65+64=129']
Exploring Operation: 129-77=52, Resulting Numbers: [52]
52,52 equal: Goal Reached
| 4 |
[
82,
26,
66,
46
] | 41 | [
"82*46=3772",
"26+66=92",
"3772/92=41"
] | Current State: 41:[82, 26, 66, 46], Operations: []
Exploring Operation: 82*46=3772, Resulting Numbers: [26, 66, 3772]
Generated Node #2: [26, 66, 3772] from Operation: 82*46=3772
Current State: 41:[26, 66, 3772], Operations: ['82*46=3772']
Exploring Operation: 26+66=92, Resulting Numbers: [3772, 92]
Generated Node #3: [3772, 92] from Operation: 26+66=92
Current State: 41:[3772, 92], Operations: ['82*46=3772', '26+66=92']
Exploring Operation: 3772/92=41, Resulting Numbers: [41]
41,41 equal: Goal Reached
| 4 |
[
19,
67,
93,
85
] | 20 | [
"19*93=1767",
"1767-67=1700",
"1700/85=20"
] | Current State: 20:[19, 67, 93, 85], Operations: []
Exploring Operation: 19*93=1767, Resulting Numbers: [67, 85, 1767]
Generated Node #2: [67, 85, 1767] from Operation: 19*93=1767
Current State: 20:[67, 85, 1767], Operations: ['19*93=1767']
Exploring Operation: 1767-67=1700, Resulting Numbers: [85, 1700]
Generated Node #3: [85, 1700] from Operation: 1767-67=1700
Current State: 20:[85, 1700], Operations: ['19*93=1767', '1767-67=1700']
Exploring Operation: 1700/85=20, Resulting Numbers: [20]
20,20 equal: Goal Reached
| 4 |
[
4,
12,
32,
12
] | 92 | [
"4*12=48",
"32+12=44",
"48+44=92"
] | Current State: 92:[4, 12, 32, 12], Operations: []
Exploring Operation: 4*12=48, Resulting Numbers: [32, 48]
Generated Node #2: [32, 48] from Operation: 4*12=48
Current State: 92:[32, 48], Operations: ['4*12=48']
Exploring Operation: 32+12=44, Resulting Numbers: [48, 44]
Generated Node #3: [48, 44] from Operation: 32+12=44
Current State: 92:[48, 44], Operations: ['4*12=48', '32+12=44']
Exploring Operation: 48+44=92, Resulting Numbers: [92]
92,92 equal: Goal Reached
| 4 |
[
53,
52,
68,
5
] | 42 | [
"53+52=105",
"68-5=63",
"105-63=42"
] | Current State: 42:[53, 52, 68, 5], Operations: []
Exploring Operation: 53+52=105, Resulting Numbers: [68, 5, 105]
Generated Node #2: [68, 5, 105] from Operation: 53+52=105
Current State: 42:[68, 5, 105], Operations: ['53+52=105']
Exploring Operation: 68-5=63, Resulting Numbers: [105, 63]
Generated Node #3: [105, 63] from Operation: 68-5=63
Current State: 42:[105, 63], Operations: ['53+52=105', '68-5=63']
Exploring Operation: 105-63=42, Resulting Numbers: [42]
42,42 equal: Goal Reached
| 4 |
[
5,
57,
54,
11
] | 52 | [
"5*11=55",
"57-54=3",
"55-3=52"
] | Current State: 52:[5, 57, 54, 11], Operations: []
Exploring Operation: 5*11=55, Resulting Numbers: [57, 54, 55]
Generated Node #2: [57, 54, 55] from Operation: 5*11=55
Current State: 52:[57, 54, 55], Operations: ['5*11=55']
Exploring Operation: 57-54=3, Resulting Numbers: [55, 3]
Generated Node #3: [55, 3] from Operation: 57-54=3
Current State: 52:[55, 3], Operations: ['5*11=55', '57-54=3']
Exploring Operation: 55-3=52, Resulting Numbers: [52]
52,52 equal: Goal Reached
| 4 |
[
24,
8,
44,
15
] | 44 | [
"24-8=16",
"16-15=1",
"44*1=44"
] | Current State: 44:[24, 8, 44, 15], Operations: []
Exploring Operation: 24-8=16, Resulting Numbers: [44, 15, 16]
Generated Node #2: [44, 15, 16] from Operation: 24-8=16
Current State: 44:[44, 15, 16], Operations: ['24-8=16']
Exploring Operation: 16-15=1, Resulting Numbers: [44, 1]
Generated Node #3: [44, 1] from Operation: 16-15=1
Current State: 44:[44, 1], Operations: ['24-8=16', '16-15=1']
Exploring Operation: 44*1=44, Resulting Numbers: [44]
44,44 equal: Goal Reached
| 4 |
[
59,
11,
83,
33
] | 21 | [
"83-59=24",
"33/11=3",
"24-3=21"
] | Current State: 21:[59, 11, 83, 33], Operations: []
Exploring Operation: 83-59=24, Resulting Numbers: [11, 33, 24]
Generated Node #2: [11, 33, 24] from Operation: 83-59=24
Current State: 21:[11, 33, 24], Operations: ['83-59=24']
Exploring Operation: 33/11=3, Resulting Numbers: [24, 3]
Generated Node #3: [24, 3] from Operation: 33/11=3
Current State: 21:[24, 3], Operations: ['83-59=24', '33/11=3']
Exploring Operation: 24-3=21, Resulting Numbers: [21]
21,21 equal: Goal Reached
| 4 |
[
9,
40,
85,
2
] | 34 | [
"9+40=49",
"85-2=83",
"83-49=34"
] | Current State: 34:[9, 40, 85, 2], Operations: []
Exploring Operation: 9+40=49, Resulting Numbers: [85, 2, 49]
Generated Node #2: [85, 2, 49] from Operation: 9+40=49
Current State: 34:[85, 2, 49], Operations: ['9+40=49']
Exploring Operation: 85-2=83, Resulting Numbers: [49, 83]
Generated Node #3: [49, 83] from Operation: 85-2=83
Current State: 34:[49, 83], Operations: ['9+40=49', '85-2=83']
Exploring Operation: 83-49=34, Resulting Numbers: [34]
34,34 equal: Goal Reached
| 4 |
[
83,
60,
10,
58
] | 91 | [
"83-60=23",
"10+58=68",
"23+68=91"
] | Current State: 91:[83, 60, 10, 58], Operations: []
Exploring Operation: 83-60=23, Resulting Numbers: [10, 58, 23]
Generated Node #2: [10, 58, 23] from Operation: 83-60=23
Current State: 91:[10, 58, 23], Operations: ['83-60=23']
Exploring Operation: 10+58=68, Resulting Numbers: [23, 68]
Generated Node #3: [23, 68] from Operation: 10+58=68
Current State: 91:[23, 68], Operations: ['83-60=23', '10+58=68']
Exploring Operation: 23+68=91, Resulting Numbers: [91]
91,91 equal: Goal Reached
| 4 |
[
16,
22,
53,
43
] | 16 | [
"22-16=6",
"53+43=96",
"96/6=16"
] | Current State: 16:[16, 22, 53, 43], Operations: []
Exploring Operation: 22-16=6, Resulting Numbers: [53, 43, 6]
Generated Node #2: [53, 43, 6] from Operation: 22-16=6
Current State: 16:[53, 43, 6], Operations: ['22-16=6']
Exploring Operation: 53+43=96, Resulting Numbers: [6, 96]
Generated Node #3: [6, 96] from Operation: 53+43=96
Current State: 16:[6, 96], Operations: ['22-16=6', '53+43=96']
Exploring Operation: 96/6=16, Resulting Numbers: [16]
16,16 equal: Goal Reached
| 4 |
[
46,
86,
63,
48
] | 40 | [
"48-46=2",
"63*2=126",
"126-86=40"
] | Current State: 40:[46, 86, 63, 48], Operations: []
Exploring Operation: 48-46=2, Resulting Numbers: [86, 63, 2]
Generated Node #2: [86, 63, 2] from Operation: 48-46=2
Current State: 40:[86, 63, 2], Operations: ['48-46=2']
Exploring Operation: 63*2=126, Resulting Numbers: [86, 126]
Generated Node #3: [86, 126] from Operation: 63*2=126
Current State: 40:[86, 126], Operations: ['48-46=2', '63*2=126']
Exploring Operation: 126-86=40, Resulting Numbers: [40]
40,40 equal: Goal Reached
| 4 |
[
84,
50,
86,
2
] | 24 | [
"84+50=134",
"134-86=48",
"48/2=24"
] | Current State: 24:[84, 50, 86, 2], Operations: []
Exploring Operation: 84+50=134, Resulting Numbers: [86, 2, 134]
Generated Node #2: [86, 2, 134] from Operation: 84+50=134
Current State: 24:[86, 2, 134], Operations: ['84+50=134']
Exploring Operation: 134-86=48, Resulting Numbers: [2, 48]
Generated Node #3: [2, 48] from Operation: 134-86=48
Current State: 24:[2, 48], Operations: ['84+50=134', '134-86=48']
Exploring Operation: 48/2=24, Resulting Numbers: [24]
24,24 equal: Goal Reached
| 4 |
[
43,
4,
20,
92
] | 15 | [
"20+92=112",
"112/4=28",
"43-28=15"
] | Current State: 15:[43, 4, 20, 92], Operations: []
Exploring Operation: 20+92=112, Resulting Numbers: [43, 4, 112]
Generated Node #2: [43, 4, 112] from Operation: 20+92=112
Current State: 15:[43, 4, 112], Operations: ['20+92=112']
Exploring Operation: 112/4=28, Resulting Numbers: [43, 28]
Generated Node #3: [43, 28] from Operation: 112/4=28
Current State: 15:[43, 28], Operations: ['20+92=112', '112/4=28']
Exploring Operation: 43-28=15, Resulting Numbers: [15]
15,15 equal: Goal Reached
| 4 |
[
73,
8,
15,
21
] | 68 | [
"73-21=52",
"8*15=120",
"120-52=68"
] | Current State: 68:[73, 8, 15, 21], Operations: []
Exploring Operation: 73-21=52, Resulting Numbers: [8, 15, 52]
Generated Node #2: [8, 15, 52] from Operation: 73-21=52
Current State: 68:[8, 15, 52], Operations: ['73-21=52']
Exploring Operation: 8*15=120, Resulting Numbers: [52, 120]
Generated Node #3: [52, 120] from Operation: 8*15=120
Current State: 68:[52, 120], Operations: ['73-21=52', '8*15=120']
Exploring Operation: 120-52=68, Resulting Numbers: [68]
68,68 equal: Goal Reached
| 4 |
[
15,
18,
3,
96
] | 64 | [
"15-3=12",
"96*12=1152",
"1152/18=64"
] | Current State: 64:[15, 18, 3, 96], Operations: []
Exploring Operation: 15-3=12, Resulting Numbers: [18, 96, 12]
Generated Node #2: [18, 96, 12] from Operation: 15-3=12
Current State: 64:[18, 96, 12], Operations: ['15-3=12']
Exploring Operation: 96*12=1152, Resulting Numbers: [18, 1152]
Generated Node #3: [18, 1152] from Operation: 96*12=1152
Current State: 64:[18, 1152], Operations: ['15-3=12', '96*12=1152']
Exploring Operation: 1152/18=64, Resulting Numbers: [64]
64,64 equal: Goal Reached
| 4 |
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