nums listlengths 4 4 | target int64 10 100 | solution listlengths 3 3 | optimal_path stringlengths 282 529 | start_size int64 4 4 |
|---|---|---|---|---|
[
57,
80,
66,
84
] | 63 | [
"80-66=14",
"84/14=6",
"57+6=63"
] | Current State: 63:[57, 80, 66, 84], Operations: []
Exploring Operation: 80-66=14, Resulting Numbers: [57, 84, 14]
Generated Node #2: [57, 84, 14] from Operation: 80-66=14
Current State: 63:[57, 84, 14], Operations: ['80-66=14']
Exploring Operation: 84/14=6, Resulting Numbers: [57, 6]
Generated Node #3: [57, 6] from Operation: 84/14=6
Current State: 63:[57, 6], Operations: ['80-66=14', '84/14=6']
Exploring Operation: 57+6=63, Resulting Numbers: [63]
63,63 equal: Goal Reached
| 4 |
[
47,
52,
80,
36
] | 17 | [
"47+52=99",
"80+36=116",
"116-99=17"
] | Current State: 17:[47, 52, 80, 36], Operations: []
Exploring Operation: 47+52=99, Resulting Numbers: [80, 36, 99]
Generated Node #2: [80, 36, 99] from Operation: 47+52=99
Current State: 17:[80, 36, 99], Operations: ['47+52=99']
Exploring Operation: 80+36=116, Resulting Numbers: [99, 116]
Generated Node #3: [99, 116] from Operation: 80+36=116
Current State: 17:[99, 116], Operations: ['47+52=99', '80+36=116']
Exploring Operation: 116-99=17, Resulting Numbers: [17]
17,17 equal: Goal Reached
| 4 |
[
67,
83,
86,
33
] | 32 | [
"86-83=3",
"33*3=99",
"99-67=32"
] | Current State: 32:[67, 83, 86, 33], Operations: []
Exploring Operation: 86-83=3, Resulting Numbers: [67, 33, 3]
Generated Node #2: [67, 33, 3] from Operation: 86-83=3
Current State: 32:[67, 33, 3], Operations: ['86-83=3']
Exploring Operation: 33*3=99, Resulting Numbers: [67, 99]
Generated Node #3: [67, 99] from Operation: 33*3=99
Current State: 32:[67, 99], Operations: ['86-83=3', '33*3=99']
Exploring Operation: 99-67=32, Resulting Numbers: [32]
32,32 equal: Goal Reached
| 4 |
[
11,
3,
89,
98
] | 66 | [
"11+89=100",
"98+100=198",
"198/3=66"
] | Current State: 66:[11, 3, 89, 98], Operations: []
Exploring Operation: 11+89=100, Resulting Numbers: [3, 98, 100]
Generated Node #2: [3, 98, 100] from Operation: 11+89=100
Current State: 66:[3, 98, 100], Operations: ['11+89=100']
Exploring Operation: 98+100=198, Resulting Numbers: [3, 198]
Generated Node #3: [3, 198] from Operation: 98+100=198
Current State: 66:[3, 198], Operations: ['11+89=100', '98+100=198']
Exploring Operation: 198/3=66, Resulting Numbers: [66]
66,66 equal: Goal Reached
| 4 |
[
18,
74,
36,
45
] | 95 | [
"74-36=38",
"45*38=1710",
"1710/18=95"
] | Current State: 95:[18, 74, 36, 45], Operations: []
Exploring Operation: 74-36=38, Resulting Numbers: [18, 45, 38]
Generated Node #2: [18, 45, 38] from Operation: 74-36=38
Current State: 95:[18, 45, 38], Operations: ['74-36=38']
Exploring Operation: 45*38=1710, Resulting Numbers: [18, 1710]
Generated Node #3: [18, 1710] from Operation: 45*38=1710
Current State: 95:[18, 1710], Operations: ['74-36=38', '45*38=1710']
Exploring Operation: 1710/18=95, Resulting Numbers: [95]
95,95 equal: Goal Reached
| 4 |
[
9,
26,
34,
68
] | 69 | [
"9+26=35",
"68-34=34",
"35+34=69"
] | Current State: 69:[9, 26, 34, 68], Operations: []
Exploring Operation: 9+26=35, Resulting Numbers: [34, 68, 35]
Generated Node #2: [34, 68, 35] from Operation: 9+26=35
Current State: 69:[34, 68, 35], Operations: ['9+26=35']
Exploring Operation: 68-34=34, Resulting Numbers: [35, 34]
Generated Node #3: [35, 34] from Operation: 68-34=34
Current State: 69:[35, 34], Operations: ['9+26=35', '68-34=34']
Exploring Operation: 35+34=69, Resulting Numbers: [69]
69,69 equal: Goal Reached
| 4 |
[
9,
8,
22,
74
] | 34 | [
"9*22=198",
"74+198=272",
"272/8=34"
] | Current State: 34:[9, 8, 22, 74], Operations: []
Exploring Operation: 9*22=198, Resulting Numbers: [8, 74, 198]
Generated Node #2: [8, 74, 198] from Operation: 9*22=198
Current State: 34:[8, 74, 198], Operations: ['9*22=198']
Exploring Operation: 74+198=272, Resulting Numbers: [8, 272]
Generated Node #3: [8, 272] from Operation: 74+198=272
Current State: 34:[8, 272], Operations: ['9*22=198', '74+198=272']
Exploring Operation: 272/8=34, Resulting Numbers: [34]
34,34 equal: Goal Reached
| 4 |
[
70,
15,
5,
12
] | 61 | [
"70*12=840",
"840/15=56",
"5+56=61"
] | Current State: 61:[70, 15, 5, 12], Operations: []
Exploring Operation: 70*12=840, Resulting Numbers: [15, 5, 840]
Generated Node #2: [15, 5, 840] from Operation: 70*12=840
Current State: 61:[15, 5, 840], Operations: ['70*12=840']
Exploring Operation: 840/15=56, Resulting Numbers: [5, 56]
Generated Node #3: [5, 56] from Operation: 840/15=56
Current State: 61:[5, 56], Operations: ['70*12=840', '840/15=56']
Exploring Operation: 5+56=61, Resulting Numbers: [61]
61,61 equal: Goal Reached
| 4 |
[
73,
17,
2,
14
] | 98 | [
"73-17=56",
"2*56=112",
"112-14=98"
] | Current State: 98:[73, 17, 2, 14], Operations: []
Exploring Operation: 73-17=56, Resulting Numbers: [2, 14, 56]
Generated Node #2: [2, 14, 56] from Operation: 73-17=56
Current State: 98:[2, 14, 56], Operations: ['73-17=56']
Exploring Operation: 2*56=112, Resulting Numbers: [14, 112]
Generated Node #3: [14, 112] from Operation: 2*56=112
Current State: 98:[14, 112], Operations: ['73-17=56', '2*56=112']
Exploring Operation: 112-14=98, Resulting Numbers: [98]
98,98 equal: Goal Reached
| 4 |
[
58,
63,
59,
76
] | 77 | [
"63-59=4",
"76/4=19",
"58+19=77"
] | Current State: 77:[58, 63, 59, 76], Operations: []
Exploring Operation: 63-59=4, Resulting Numbers: [58, 76, 4]
Generated Node #2: [58, 76, 4] from Operation: 63-59=4
Current State: 77:[58, 76, 4], Operations: ['63-59=4']
Exploring Operation: 76/4=19, Resulting Numbers: [58, 19]
Generated Node #3: [58, 19] from Operation: 76/4=19
Current State: 77:[58, 19], Operations: ['63-59=4', '76/4=19']
Exploring Operation: 58+19=77, Resulting Numbers: [77]
77,77 equal: Goal Reached
| 4 |
[
43,
78,
35,
88
] | 87 | [
"78-43=35",
"35/35=1",
"88-1=87"
] | Current State: 87:[43, 78, 35, 88], Operations: []
Exploring Operation: 78-43=35, Resulting Numbers: [35, 88, 35]
Generated Node #2: [35, 88, 35] from Operation: 78-43=35
Current State: 87:[35, 88, 35], Operations: ['78-43=35']
Exploring Operation: 35/35=1, Resulting Numbers: [88, 1]
Generated Node #3: [88, 1] from Operation: 35/35=1
Current State: 87:[88, 1], Operations: ['78-43=35', '35/35=1']
Exploring Operation: 88-1=87, Resulting Numbers: [87]
87,87 equal: Goal Reached
| 4 |
[
53,
54,
39,
33
] | 44 | [
"39-33=6",
"54/6=9",
"53-9=44"
] | Current State: 44:[53, 54, 39, 33], Operations: []
Exploring Operation: 39-33=6, Resulting Numbers: [53, 54, 6]
Generated Node #2: [53, 54, 6] from Operation: 39-33=6
Current State: 44:[53, 54, 6], Operations: ['39-33=6']
Exploring Operation: 54/6=9, Resulting Numbers: [53, 9]
Generated Node #3: [53, 9] from Operation: 54/6=9
Current State: 44:[53, 9], Operations: ['39-33=6', '54/6=9']
Exploring Operation: 53-9=44, Resulting Numbers: [44]
44,44 equal: Goal Reached
| 4 |
[
7,
10,
23,
23
] | 77 | [
"23*23=529",
"10+529=539",
"539/7=77"
] | Current State: 77:[7, 10, 23, 23], Operations: []
Exploring Operation: 23*23=529, Resulting Numbers: [7, 10, 529]
Generated Node #2: [7, 10, 529] from Operation: 23*23=529
Current State: 77:[7, 10, 529], Operations: ['23*23=529']
Exploring Operation: 10+529=539, Resulting Numbers: [7, 539]
Generated Node #3: [7, 539] from Operation: 10+529=539
Current State: 77:[7, 539], Operations: ['23*23=529', '10+529=539']
Exploring Operation: 539/7=77, Resulting Numbers: [77]
77,77 equal: Goal Reached
| 4 |
[
41,
82,
26,
57
] | 81 | [
"82/41=2",
"26+57=83",
"83-2=81"
] | Current State: 81:[41, 82, 26, 57], Operations: []
Exploring Operation: 82/41=2, Resulting Numbers: [26, 57, 2]
Generated Node #2: [26, 57, 2] from Operation: 82/41=2
Current State: 81:[26, 57, 2], Operations: ['82/41=2']
Exploring Operation: 26+57=83, Resulting Numbers: [2, 83]
Generated Node #3: [2, 83] from Operation: 26+57=83
Current State: 81:[2, 83], Operations: ['82/41=2', '26+57=83']
Exploring Operation: 83-2=81, Resulting Numbers: [81]
81,81 equal: Goal Reached
| 4 |
[
78,
77,
17,
68
] | 93 | [
"78-68=10",
"17*10=170",
"170-77=93"
] | Current State: 93:[78, 77, 17, 68], Operations: []
Exploring Operation: 78-68=10, Resulting Numbers: [77, 17, 10]
Generated Node #2: [77, 17, 10] from Operation: 78-68=10
Current State: 93:[77, 17, 10], Operations: ['78-68=10']
Exploring Operation: 17*10=170, Resulting Numbers: [77, 170]
Generated Node #3: [77, 170] from Operation: 17*10=170
Current State: 93:[77, 170], Operations: ['78-68=10', '17*10=170']
Exploring Operation: 170-77=93, Resulting Numbers: [93]
93,93 equal: Goal Reached
| 4 |
[
90,
2,
55,
3
] | 37 | [
"2+3=5",
"90/5=18",
"55-18=37"
] | Current State: 37:[90, 2, 55, 3], Operations: []
Exploring Operation: 2+3=5, Resulting Numbers: [90, 55, 5]
Generated Node #2: [90, 55, 5] from Operation: 2+3=5
Current State: 37:[90, 55, 5], Operations: ['2+3=5']
Exploring Operation: 90/5=18, Resulting Numbers: [55, 18]
Generated Node #3: [55, 18] from Operation: 90/5=18
Current State: 37:[55, 18], Operations: ['2+3=5', '90/5=18']
Exploring Operation: 55-18=37, Resulting Numbers: [37]
37,37 equal: Goal Reached
| 4 |
[
65,
89,
5,
70
] | 38 | [
"89-65=24",
"70/5=14",
"24+14=38"
] | Current State: 38:[65, 89, 5, 70], Operations: []
Exploring Operation: 89-65=24, Resulting Numbers: [5, 70, 24]
Generated Node #2: [5, 70, 24] from Operation: 89-65=24
Current State: 38:[5, 70, 24], Operations: ['89-65=24']
Exploring Operation: 70/5=14, Resulting Numbers: [24, 14]
Generated Node #3: [24, 14] from Operation: 70/5=14
Current State: 38:[24, 14], Operations: ['89-65=24', '70/5=14']
Exploring Operation: 24+14=38, Resulting Numbers: [38]
38,38 equal: Goal Reached
| 4 |
[
57,
45,
68,
22
] | 55 | [
"68+22=90",
"90/45=2",
"57-2=55"
] | Current State: 55:[57, 45, 68, 22], Operations: []
Exploring Operation: 68+22=90, Resulting Numbers: [57, 45, 90]
Generated Node #2: [57, 45, 90] from Operation: 68+22=90
Current State: 55:[57, 45, 90], Operations: ['68+22=90']
Exploring Operation: 90/45=2, Resulting Numbers: [57, 2]
Generated Node #3: [57, 2] from Operation: 90/45=2
Current State: 55:[57, 2], Operations: ['68+22=90', '90/45=2']
Exploring Operation: 57-2=55, Resulting Numbers: [55]
55,55 equal: Goal Reached
| 4 |
[
48,
70,
48,
5
] | 70 | [
"48-48=0",
"5*0=0",
"70+0=70"
] | Current State: 70:[48, 70, 48, 5], Operations: []
Exploring Operation: 48-48=0, Resulting Numbers: [70, 5, 0]
Generated Node #2: [70, 5, 0] from Operation: 48-48=0
Current State: 70:[70, 5, 0], Operations: ['48-48=0']
Exploring Operation: 5*0=0, Resulting Numbers: [70, 0]
Generated Node #3: [70, 0] from Operation: 5*0=0
Current State: 70:[70, 0], Operations: ['48-48=0', '5*0=0']
Exploring Operation: 70+0=70, Resulting Numbers: [70]
70,70 equal: Goal Reached
| 4 |
[
57,
93,
72,
95
] | 87 | [
"95-93=2",
"72*2=144",
"144-57=87"
] | Current State: 87:[57, 93, 72, 95], Operations: []
Exploring Operation: 95-93=2, Resulting Numbers: [57, 72, 2]
Generated Node #2: [57, 72, 2] from Operation: 95-93=2
Current State: 87:[57, 72, 2], Operations: ['95-93=2']
Exploring Operation: 72*2=144, Resulting Numbers: [57, 144]
Generated Node #3: [57, 144] from Operation: 72*2=144
Current State: 87:[57, 144], Operations: ['95-93=2', '72*2=144']
Exploring Operation: 144-57=87, Resulting Numbers: [87]
87,87 equal: Goal Reached
| 4 |
[
68,
54,
44,
26
] | 65 | [
"44-26=18",
"54/18=3",
"68-3=65"
] | Current State: 65:[68, 54, 44, 26], Operations: []
Exploring Operation: 44-26=18, Resulting Numbers: [68, 54, 18]
Generated Node #2: [68, 54, 18] from Operation: 44-26=18
Current State: 65:[68, 54, 18], Operations: ['44-26=18']
Exploring Operation: 54/18=3, Resulting Numbers: [68, 3]
Generated Node #3: [68, 3] from Operation: 54/18=3
Current State: 65:[68, 3], Operations: ['44-26=18', '54/18=3']
Exploring Operation: 68-3=65, Resulting Numbers: [65]
65,65 equal: Goal Reached
| 4 |
[
31,
14,
48,
5
] | 37 | [
"31-14=17",
"5*17=85",
"85-48=37"
] | Current State: 37:[31, 14, 48, 5], Operations: []
Exploring Operation: 31-14=17, Resulting Numbers: [48, 5, 17]
Generated Node #2: [48, 5, 17] from Operation: 31-14=17
Current State: 37:[48, 5, 17], Operations: ['31-14=17']
Exploring Operation: 5*17=85, Resulting Numbers: [48, 85]
Generated Node #3: [48, 85] from Operation: 5*17=85
Current State: 37:[48, 85], Operations: ['31-14=17', '5*17=85']
Exploring Operation: 85-48=37, Resulting Numbers: [37]
37,37 equal: Goal Reached
| 4 |
[
80,
84,
21,
41
] | 21 | [
"80*21=1680",
"1680/84=20",
"41-20=21"
] | Current State: 21:[80, 84, 21, 41], Operations: []
Exploring Operation: 80*21=1680, Resulting Numbers: [84, 41, 1680]
Generated Node #2: [84, 41, 1680] from Operation: 80*21=1680
Current State: 21:[84, 41, 1680], Operations: ['80*21=1680']
Exploring Operation: 1680/84=20, Resulting Numbers: [41, 20]
Generated Node #3: [41, 20] from Operation: 1680/84=20
Current State: 21:[41, 20], Operations: ['80*21=1680', '1680/84=20']
Exploring Operation: 41-20=21, Resulting Numbers: [21]
21,21 equal: Goal Reached
| 4 |
[
56,
73,
38,
51
] | 41 | [
"73-56=17",
"51/17=3",
"38+3=41"
] | Current State: 41:[56, 73, 38, 51], Operations: []
Exploring Operation: 73-56=17, Resulting Numbers: [38, 51, 17]
Generated Node #2: [38, 51, 17] from Operation: 73-56=17
Current State: 41:[38, 51, 17], Operations: ['73-56=17']
Exploring Operation: 51/17=3, Resulting Numbers: [38, 3]
Generated Node #3: [38, 3] from Operation: 51/17=3
Current State: 41:[38, 3], Operations: ['73-56=17', '51/17=3']
Exploring Operation: 38+3=41, Resulting Numbers: [41]
41,41 equal: Goal Reached
| 4 |
[
62,
14,
52,
8
] | 16 | [
"62+14=76",
"52+8=60",
"76-60=16"
] | Current State: 16:[62, 14, 52, 8], Operations: []
Exploring Operation: 62+14=76, Resulting Numbers: [52, 8, 76]
Generated Node #2: [52, 8, 76] from Operation: 62+14=76
Current State: 16:[52, 8, 76], Operations: ['62+14=76']
Exploring Operation: 52+8=60, Resulting Numbers: [76, 60]
Generated Node #3: [76, 60] from Operation: 52+8=60
Current State: 16:[76, 60], Operations: ['62+14=76', '52+8=60']
Exploring Operation: 76-60=16, Resulting Numbers: [16]
16,16 equal: Goal Reached
| 4 |
[
65,
7,
11,
4
] | 41 | [
"65*7=455",
"455-4=451",
"451/11=41"
] | Current State: 41:[65, 7, 11, 4], Operations: []
Exploring Operation: 65*7=455, Resulting Numbers: [11, 4, 455]
Generated Node #2: [11, 4, 455] from Operation: 65*7=455
Current State: 41:[11, 4, 455], Operations: ['65*7=455']
Exploring Operation: 455-4=451, Resulting Numbers: [11, 451]
Generated Node #3: [11, 451] from Operation: 455-4=451
Current State: 41:[11, 451], Operations: ['65*7=455', '455-4=451']
Exploring Operation: 451/11=41, Resulting Numbers: [41]
41,41 equal: Goal Reached
| 4 |
[
68,
24,
72,
20
] | 56 | [
"72-68=4",
"20*4=80",
"80-24=56"
] | Current State: 56:[68, 24, 72, 20], Operations: []
Exploring Operation: 72-68=4, Resulting Numbers: [24, 20, 4]
Generated Node #2: [24, 20, 4] from Operation: 72-68=4
Current State: 56:[24, 20, 4], Operations: ['72-68=4']
Exploring Operation: 20*4=80, Resulting Numbers: [24, 80]
Generated Node #3: [24, 80] from Operation: 20*4=80
Current State: 56:[24, 80], Operations: ['72-68=4', '20*4=80']
Exploring Operation: 80-24=56, Resulting Numbers: [56]
56,56 equal: Goal Reached
| 4 |
[
11,
68,
20,
23
] | 48 | [
"20*23=460",
"68+460=528",
"528/11=48"
] | Current State: 48:[11, 68, 20, 23], Operations: []
Exploring Operation: 20*23=460, Resulting Numbers: [11, 68, 460]
Generated Node #2: [11, 68, 460] from Operation: 20*23=460
Current State: 48:[11, 68, 460], Operations: ['20*23=460']
Exploring Operation: 68+460=528, Resulting Numbers: [11, 528]
Generated Node #3: [11, 528] from Operation: 68+460=528
Current State: 48:[11, 528], Operations: ['20*23=460', '68+460=528']
Exploring Operation: 528/11=48, Resulting Numbers: [48]
48,48 equal: Goal Reached
| 4 |
[
67,
67,
70,
85
] | 16 | [
"67/67=1",
"85-70=15",
"1+15=16"
] | Current State: 16:[67, 67, 70, 85], Operations: []
Exploring Operation: 67/67=1, Resulting Numbers: [70, 85, 1]
Generated Node #2: [70, 85, 1] from Operation: 67/67=1
Current State: 16:[70, 85, 1], Operations: ['67/67=1']
Exploring Operation: 85-70=15, Resulting Numbers: [1, 15]
Generated Node #3: [1, 15] from Operation: 85-70=15
Current State: 16:[1, 15], Operations: ['67/67=1', '85-70=15']
Exploring Operation: 1+15=16, Resulting Numbers: [16]
16,16 equal: Goal Reached
| 4 |
[
95,
4,
7,
49
] | 94 | [
"95+7=102",
"4*49=196",
"196-102=94"
] | Current State: 94:[95, 4, 7, 49], Operations: []
Exploring Operation: 95+7=102, Resulting Numbers: [4, 49, 102]
Generated Node #2: [4, 49, 102] from Operation: 95+7=102
Current State: 94:[4, 49, 102], Operations: ['95+7=102']
Exploring Operation: 4*49=196, Resulting Numbers: [102, 196]
Generated Node #3: [102, 196] from Operation: 4*49=196
Current State: 94:[102, 196], Operations: ['95+7=102', '4*49=196']
Exploring Operation: 196-102=94, Resulting Numbers: [94]
94,94 equal: Goal Reached
| 4 |
[
23,
16,
5,
27
] | 62 | [
"23-16=7",
"5*7=35",
"27+35=62"
] | Current State: 62:[23, 16, 5, 27], Operations: []
Exploring Operation: 23-16=7, Resulting Numbers: [5, 27, 7]
Generated Node #2: [5, 27, 7] from Operation: 23-16=7
Current State: 62:[5, 27, 7], Operations: ['23-16=7']
Exploring Operation: 5*7=35, Resulting Numbers: [27, 35]
Generated Node #3: [27, 35] from Operation: 5*7=35
Current State: 62:[27, 35], Operations: ['23-16=7', '5*7=35']
Exploring Operation: 27+35=62, Resulting Numbers: [62]
62,62 equal: Goal Reached
| 4 |
[
28,
32,
58,
90
] | 44 | [
"28*90=2520",
"32+2520=2552",
"2552/58=44"
] | Current State: 44:[28, 32, 58, 90], Operations: []
Exploring Operation: 28*90=2520, Resulting Numbers: [32, 58, 2520]
Generated Node #2: [32, 58, 2520] from Operation: 28*90=2520
Current State: 44:[32, 58, 2520], Operations: ['28*90=2520']
Exploring Operation: 32+2520=2552, Resulting Numbers: [58, 2552]
Generated Node #3: [58, 2552] from Operation: 32+2520=2552
Current State: 44:[58, 2552], Operations: ['28*90=2520', '32+2520=2552']
Exploring Operation: 2552/58=44, Resulting Numbers: [44]
44,44 equal: Goal Reached
| 4 |
[
61,
4,
82,
2
] | 82 | [
"82-61=21",
"4*21=84",
"84-2=82"
] | Current State: 82:[61, 4, 82, 2], Operations: []
Exploring Operation: 82-61=21, Resulting Numbers: [4, 2, 21]
Generated Node #2: [4, 2, 21] from Operation: 82-61=21
Current State: 82:[4, 2, 21], Operations: ['82-61=21']
Exploring Operation: 4*21=84, Resulting Numbers: [2, 84]
Generated Node #3: [2, 84] from Operation: 4*21=84
Current State: 82:[2, 84], Operations: ['82-61=21', '4*21=84']
Exploring Operation: 84-2=82, Resulting Numbers: [82]
82,82 equal: Goal Reached
| 4 |
[
78,
2,
63,
54
] | 51 | [
"78-54=24",
"24/2=12",
"63-12=51"
] | Current State: 51:[78, 2, 63, 54], Operations: []
Exploring Operation: 78-54=24, Resulting Numbers: [2, 63, 24]
Generated Node #2: [2, 63, 24] from Operation: 78-54=24
Current State: 51:[2, 63, 24], Operations: ['78-54=24']
Exploring Operation: 24/2=12, Resulting Numbers: [63, 12]
Generated Node #3: [63, 12] from Operation: 24/2=12
Current State: 51:[63, 12], Operations: ['78-54=24', '24/2=12']
Exploring Operation: 63-12=51, Resulting Numbers: [51]
51,51 equal: Goal Reached
| 4 |
[
41,
86,
60,
36
] | 51 | [
"86-41=45",
"60+36=96",
"96-45=51"
] | Current State: 51:[41, 86, 60, 36], Operations: []
Exploring Operation: 86-41=45, Resulting Numbers: [60, 36, 45]
Generated Node #2: [60, 36, 45] from Operation: 86-41=45
Current State: 51:[60, 36, 45], Operations: ['86-41=45']
Exploring Operation: 60+36=96, Resulting Numbers: [45, 96]
Generated Node #3: [45, 96] from Operation: 60+36=96
Current State: 51:[45, 96], Operations: ['86-41=45', '60+36=96']
Exploring Operation: 96-45=51, Resulting Numbers: [51]
51,51 equal: Goal Reached
| 4 |
[
90,
9,
92,
68
] | 16 | [
"90/9=10",
"92+68=160",
"160/10=16"
] | Current State: 16:[90, 9, 92, 68], Operations: []
Exploring Operation: 90/9=10, Resulting Numbers: [92, 68, 10]
Generated Node #2: [92, 68, 10] from Operation: 90/9=10
Current State: 16:[92, 68, 10], Operations: ['90/9=10']
Exploring Operation: 92+68=160, Resulting Numbers: [10, 160]
Generated Node #3: [10, 160] from Operation: 92+68=160
Current State: 16:[10, 160], Operations: ['90/9=10', '92+68=160']
Exploring Operation: 160/10=16, Resulting Numbers: [16]
16,16 equal: Goal Reached
| 4 |
[
84,
17,
42,
28
] | 43 | [
"84/42=2",
"17+28=45",
"45-2=43"
] | Current State: 43:[84, 17, 42, 28], Operations: []
Exploring Operation: 84/42=2, Resulting Numbers: [17, 28, 2]
Generated Node #2: [17, 28, 2] from Operation: 84/42=2
Current State: 43:[17, 28, 2], Operations: ['84/42=2']
Exploring Operation: 17+28=45, Resulting Numbers: [2, 45]
Generated Node #3: [2, 45] from Operation: 17+28=45
Current State: 43:[2, 45], Operations: ['84/42=2', '17+28=45']
Exploring Operation: 45-2=43, Resulting Numbers: [43]
43,43 equal: Goal Reached
| 4 |
[
25,
28,
48,
13
] | 18 | [
"25+28=53",
"48-13=35",
"53-35=18"
] | Current State: 18:[25, 28, 48, 13], Operations: []
Exploring Operation: 25+28=53, Resulting Numbers: [48, 13, 53]
Generated Node #2: [48, 13, 53] from Operation: 25+28=53
Current State: 18:[48, 13, 53], Operations: ['25+28=53']
Exploring Operation: 48-13=35, Resulting Numbers: [53, 35]
Generated Node #3: [53, 35] from Operation: 48-13=35
Current State: 18:[53, 35], Operations: ['25+28=53', '48-13=35']
Exploring Operation: 53-35=18, Resulting Numbers: [18]
18,18 equal: Goal Reached
| 4 |
[
86,
7,
25,
43
] | 88 | [
"7+43=50",
"50/25=2",
"86+2=88"
] | Current State: 88:[86, 7, 25, 43], Operations: []
Exploring Operation: 7+43=50, Resulting Numbers: [86, 25, 50]
Generated Node #2: [86, 25, 50] from Operation: 7+43=50
Current State: 88:[86, 25, 50], Operations: ['7+43=50']
Exploring Operation: 50/25=2, Resulting Numbers: [86, 2]
Generated Node #3: [86, 2] from Operation: 50/25=2
Current State: 88:[86, 2], Operations: ['7+43=50', '50/25=2']
Exploring Operation: 86+2=88, Resulting Numbers: [88]
88,88 equal: Goal Reached
| 4 |
[
54,
76,
38,
33
] | 17 | [
"76-54=22",
"38-33=5",
"22-5=17"
] | Current State: 17:[54, 76, 38, 33], Operations: []
Exploring Operation: 76-54=22, Resulting Numbers: [38, 33, 22]
Generated Node #2: [38, 33, 22] from Operation: 76-54=22
Current State: 17:[38, 33, 22], Operations: ['76-54=22']
Exploring Operation: 38-33=5, Resulting Numbers: [22, 5]
Generated Node #3: [22, 5] from Operation: 38-33=5
Current State: 17:[22, 5], Operations: ['76-54=22', '38-33=5']
Exploring Operation: 22-5=17, Resulting Numbers: [17]
17,17 equal: Goal Reached
| 4 |
[
65,
36,
1,
44
] | 54 | [
"65+1=66",
"36*66=2376",
"2376/44=54"
] | Current State: 54:[65, 36, 1, 44], Operations: []
Exploring Operation: 65+1=66, Resulting Numbers: [36, 44, 66]
Generated Node #2: [36, 44, 66] from Operation: 65+1=66
Current State: 54:[36, 44, 66], Operations: ['65+1=66']
Exploring Operation: 36*66=2376, Resulting Numbers: [44, 2376]
Generated Node #3: [44, 2376] from Operation: 36*66=2376
Current State: 54:[44, 2376], Operations: ['65+1=66', '36*66=2376']
Exploring Operation: 2376/44=54, Resulting Numbers: [54]
54,54 equal: Goal Reached
| 4 |
[
85,
36,
91,
91
] | 85 | [
"91-85=6",
"36/6=6",
"91-6=85"
] | Current State: 85:[85, 36, 91, 91], Operations: []
Exploring Operation: 91-85=6, Resulting Numbers: [36, 6]
Generated Node #2: [36, 6] from Operation: 91-85=6
Current State: 85:[36, 6], Operations: ['91-85=6']
Exploring Operation: 36/6=6, Resulting Numbers: [6]
6,85 equal: Goal Reached
Exploring Operation: 91-6=85, Resulting Numbers: [85]
85,85 equal: Goal Reached
| 4 |
[
5,
51,
34,
90
] | 35 | [
"90/5=18",
"51-34=17",
"18+17=35"
] | Current State: 35:[5, 51, 34, 90], Operations: []
Exploring Operation: 90/5=18, Resulting Numbers: [51, 34, 18]
Generated Node #2: [51, 34, 18] from Operation: 90/5=18
Current State: 35:[51, 34, 18], Operations: ['90/5=18']
Exploring Operation: 51-34=17, Resulting Numbers: [18, 17]
Generated Node #3: [18, 17] from Operation: 51-34=17
Current State: 35:[18, 17], Operations: ['90/5=18', '51-34=17']
Exploring Operation: 18+17=35, Resulting Numbers: [35]
35,35 equal: Goal Reached
| 4 |
[
82,
52,
48,
45
] | 27 | [
"82-52=30",
"48-45=3",
"30-3=27"
] | Current State: 27:[82, 52, 48, 45], Operations: []
Exploring Operation: 82-52=30, Resulting Numbers: [48, 45, 30]
Generated Node #2: [48, 45, 30] from Operation: 82-52=30
Current State: 27:[48, 45, 30], Operations: ['82-52=30']
Exploring Operation: 48-45=3, Resulting Numbers: [30, 3]
Generated Node #3: [30, 3] from Operation: 48-45=3
Current State: 27:[30, 3], Operations: ['82-52=30', '48-45=3']
Exploring Operation: 30-3=27, Resulting Numbers: [27]
27,27 equal: Goal Reached
| 4 |
[
60,
78,
13,
7
] | 17 | [
"60*13=780",
"780/78=10",
"7+10=17"
] | Current State: 17:[60, 78, 13, 7], Operations: []
Exploring Operation: 60*13=780, Resulting Numbers: [78, 7, 780]
Generated Node #2: [78, 7, 780] from Operation: 60*13=780
Current State: 17:[78, 7, 780], Operations: ['60*13=780']
Exploring Operation: 780/78=10, Resulting Numbers: [7, 10]
Generated Node #3: [7, 10] from Operation: 780/78=10
Current State: 17:[7, 10], Operations: ['60*13=780', '780/78=10']
Exploring Operation: 7+10=17, Resulting Numbers: [17]
17,17 equal: Goal Reached
| 4 |
[
59,
78,
70,
78
] | 59 | [
"78-78=0",
"70*0=0",
"59+0=59"
] | Current State: 59:[59, 78, 70, 78], Operations: []
Exploring Operation: 78-78=0, Resulting Numbers: [59, 70, 0]
Generated Node #2: [59, 70, 0] from Operation: 78-78=0
Current State: 59:[59, 70, 0], Operations: ['78-78=0']
Exploring Operation: 70*0=0, Resulting Numbers: [59, 0]
Generated Node #3: [59, 0] from Operation: 70*0=0
Current State: 59:[59, 0], Operations: ['78-78=0', '70*0=0']
Exploring Operation: 59+0=59, Resulting Numbers: [59]
59,59 equal: Goal Reached
| 4 |
[
18,
12,
43,
24
] | 49 | [
"18+12=30",
"43-24=19",
"30+19=49"
] | Current State: 49:[18, 12, 43, 24], Operations: []
Exploring Operation: 18+12=30, Resulting Numbers: [43, 24, 30]
Generated Node #2: [43, 24, 30] from Operation: 18+12=30
Current State: 49:[43, 24, 30], Operations: ['18+12=30']
Exploring Operation: 43-24=19, Resulting Numbers: [30, 19]
Generated Node #3: [30, 19] from Operation: 43-24=19
Current State: 49:[30, 19], Operations: ['18+12=30', '43-24=19']
Exploring Operation: 30+19=49, Resulting Numbers: [49]
49,49 equal: Goal Reached
| 4 |
[
63,
84,
82,
16
] | 77 | [
"84-63=21",
"82+16=98",
"98-21=77"
] | Current State: 77:[63, 84, 82, 16], Operations: []
Exploring Operation: 84-63=21, Resulting Numbers: [82, 16, 21]
Generated Node #2: [82, 16, 21] from Operation: 84-63=21
Current State: 77:[82, 16, 21], Operations: ['84-63=21']
Exploring Operation: 82+16=98, Resulting Numbers: [21, 98]
Generated Node #3: [21, 98] from Operation: 82+16=98
Current State: 77:[21, 98], Operations: ['84-63=21', '82+16=98']
Exploring Operation: 98-21=77, Resulting Numbers: [77]
77,77 equal: Goal Reached
| 4 |
[
91,
56,
58,
21
] | 51 | [
"91+56=147",
"147/21=7",
"58-7=51"
] | Current State: 51:[91, 56, 58, 21], Operations: []
Exploring Operation: 91+56=147, Resulting Numbers: [58, 21, 147]
Generated Node #2: [58, 21, 147] from Operation: 91+56=147
Current State: 51:[58, 21, 147], Operations: ['91+56=147']
Exploring Operation: 147/21=7, Resulting Numbers: [58, 7]
Generated Node #3: [58, 7] from Operation: 147/21=7
Current State: 51:[58, 7], Operations: ['91+56=147', '147/21=7']
Exploring Operation: 58-7=51, Resulting Numbers: [51]
51,51 equal: Goal Reached
| 4 |
[
4,
76,
2,
18
] | 47 | [
"4-2=2",
"76+18=94",
"94/2=47"
] | Current State: 47:[4, 76, 2, 18], Operations: []
Exploring Operation: 4-2=2, Resulting Numbers: [76, 18, 2]
Generated Node #2: [76, 18, 2] from Operation: 4-2=2
Current State: 47:[76, 18, 2], Operations: ['4-2=2']
Exploring Operation: 76+18=94, Resulting Numbers: [2, 94]
Generated Node #3: [2, 94] from Operation: 76+18=94
Current State: 47:[2, 94], Operations: ['4-2=2', '76+18=94']
Exploring Operation: 94/2=47, Resulting Numbers: [47]
47,47 equal: Goal Reached
| 4 |
[
28,
42,
32,
1
] | 17 | [
"42-28=14",
"32-1=31",
"31-14=17"
] | Current State: 17:[28, 42, 32, 1], Operations: []
Exploring Operation: 42-28=14, Resulting Numbers: [32, 1, 14]
Generated Node #2: [32, 1, 14] from Operation: 42-28=14
Current State: 17:[32, 1, 14], Operations: ['42-28=14']
Exploring Operation: 32-1=31, Resulting Numbers: [14, 31]
Generated Node #3: [14, 31] from Operation: 32-1=31
Current State: 17:[14, 31], Operations: ['42-28=14', '32-1=31']
Exploring Operation: 31-14=17, Resulting Numbers: [17]
17,17 equal: Goal Reached
| 4 |
[
46,
41,
4,
3
] | 25 | [
"46+41=87",
"87/3=29",
"29-4=25"
] | Current State: 25:[46, 41, 4, 3], Operations: []
Exploring Operation: 46+41=87, Resulting Numbers: [4, 3, 87]
Generated Node #2: [4, 3, 87] from Operation: 46+41=87
Current State: 25:[4, 3, 87], Operations: ['46+41=87']
Exploring Operation: 87/3=29, Resulting Numbers: [4, 29]
Generated Node #3: [4, 29] from Operation: 87/3=29
Current State: 25:[4, 29], Operations: ['46+41=87', '87/3=29']
Exploring Operation: 29-4=25, Resulting Numbers: [25]
25,25 equal: Goal Reached
| 4 |
[
30,
46,
91,
55
] | 40 | [
"30+46=76",
"91-55=36",
"76-36=40"
] | Current State: 40:[30, 46, 91, 55], Operations: []
Exploring Operation: 30+46=76, Resulting Numbers: [91, 55, 76]
Generated Node #2: [91, 55, 76] from Operation: 30+46=76
Current State: 40:[91, 55, 76], Operations: ['30+46=76']
Exploring Operation: 91-55=36, Resulting Numbers: [76, 36]
Generated Node #3: [76, 36] from Operation: 91-55=36
Current State: 40:[76, 36], Operations: ['30+46=76', '91-55=36']
Exploring Operation: 76-36=40, Resulting Numbers: [40]
40,40 equal: Goal Reached
| 4 |
[
35,
79,
34,
39
] | 72 | [
"39-34=5",
"35/5=7",
"79-7=72"
] | Current State: 72:[35, 79, 34, 39], Operations: []
Exploring Operation: 39-34=5, Resulting Numbers: [35, 79, 5]
Generated Node #2: [35, 79, 5] from Operation: 39-34=5
Current State: 72:[35, 79, 5], Operations: ['39-34=5']
Exploring Operation: 35/5=7, Resulting Numbers: [79, 7]
Generated Node #3: [79, 7] from Operation: 35/5=7
Current State: 72:[79, 7], Operations: ['39-34=5', '35/5=7']
Exploring Operation: 79-7=72, Resulting Numbers: [72]
72,72 equal: Goal Reached
| 4 |
[
7,
68,
33,
93
] | 56 | [
"68+33=101",
"101-93=8",
"7*8=56"
] | Current State: 56:[7, 68, 33, 93], Operations: []
Exploring Operation: 68+33=101, Resulting Numbers: [7, 93, 101]
Generated Node #2: [7, 93, 101] from Operation: 68+33=101
Current State: 56:[7, 93, 101], Operations: ['68+33=101']
Exploring Operation: 101-93=8, Resulting Numbers: [7, 8]
Generated Node #3: [7, 8] from Operation: 101-93=8
Current State: 56:[7, 8], Operations: ['68+33=101', '101-93=8']
Exploring Operation: 7*8=56, Resulting Numbers: [56]
56,56 equal: Goal Reached
| 4 |
[
63,
5,
25,
31
] | 93 | [
"63-31=32",
"5*25=125",
"125-32=93"
] | Current State: 93:[63, 5, 25, 31], Operations: []
Exploring Operation: 63-31=32, Resulting Numbers: [5, 25, 32]
Generated Node #2: [5, 25, 32] from Operation: 63-31=32
Current State: 93:[5, 25, 32], Operations: ['63-31=32']
Exploring Operation: 5*25=125, Resulting Numbers: [32, 125]
Generated Node #3: [32, 125] from Operation: 5*25=125
Current State: 93:[32, 125], Operations: ['63-31=32', '5*25=125']
Exploring Operation: 125-32=93, Resulting Numbers: [93]
93,93 equal: Goal Reached
| 4 |
[
65,
12,
88,
44
] | 97 | [
"65-12=53",
"88-44=44",
"53+44=97"
] | Current State: 97:[65, 12, 88, 44], Operations: []
Exploring Operation: 65-12=53, Resulting Numbers: [88, 44, 53]
Generated Node #2: [88, 44, 53] from Operation: 65-12=53
Current State: 97:[88, 44, 53], Operations: ['65-12=53']
Exploring Operation: 88-44=44, Resulting Numbers: [53, 44]
Generated Node #3: [53, 44] from Operation: 88-44=44
Current State: 97:[53, 44], Operations: ['65-12=53', '88-44=44']
Exploring Operation: 53+44=97, Resulting Numbers: [97]
97,97 equal: Goal Reached
| 4 |
[
40,
44,
51,
75
] | 71 | [
"51-40=11",
"44/11=4",
"75-4=71"
] | Current State: 71:[40, 44, 51, 75], Operations: []
Exploring Operation: 51-40=11, Resulting Numbers: [44, 75, 11]
Generated Node #2: [44, 75, 11] from Operation: 51-40=11
Current State: 71:[44, 75, 11], Operations: ['51-40=11']
Exploring Operation: 44/11=4, Resulting Numbers: [75, 4]
Generated Node #3: [75, 4] from Operation: 44/11=4
Current State: 71:[75, 4], Operations: ['51-40=11', '44/11=4']
Exploring Operation: 75-4=71, Resulting Numbers: [71]
71,71 equal: Goal Reached
| 4 |
[
92,
71,
3,
2
] | 47 | [
"92+3=95",
"71*2=142",
"142-95=47"
] | Current State: 47:[92, 71, 3, 2], Operations: []
Exploring Operation: 92+3=95, Resulting Numbers: [71, 2, 95]
Generated Node #2: [71, 2, 95] from Operation: 92+3=95
Current State: 47:[71, 2, 95], Operations: ['92+3=95']
Exploring Operation: 71*2=142, Resulting Numbers: [95, 142]
Generated Node #3: [95, 142] from Operation: 71*2=142
Current State: 47:[95, 142], Operations: ['92+3=95', '71*2=142']
Exploring Operation: 142-95=47, Resulting Numbers: [47]
47,47 equal: Goal Reached
| 4 |
[
38,
59,
3,
16
] | 79 | [
"59-38=21",
"3*21=63",
"16+63=79"
] | Current State: 79:[38, 59, 3, 16], Operations: []
Exploring Operation: 59-38=21, Resulting Numbers: [3, 16, 21]
Generated Node #2: [3, 16, 21] from Operation: 59-38=21
Current State: 79:[3, 16, 21], Operations: ['59-38=21']
Exploring Operation: 3*21=63, Resulting Numbers: [16, 63]
Generated Node #3: [16, 63] from Operation: 3*21=63
Current State: 79:[16, 63], Operations: ['59-38=21', '3*21=63']
Exploring Operation: 16+63=79, Resulting Numbers: [79]
79,79 equal: Goal Reached
| 4 |
[
60,
56,
15,
22
] | 68 | [
"22-15=7",
"56/7=8",
"60+8=68"
] | Current State: 68:[60, 56, 15, 22], Operations: []
Exploring Operation: 22-15=7, Resulting Numbers: [60, 56, 7]
Generated Node #2: [60, 56, 7] from Operation: 22-15=7
Current State: 68:[60, 56, 7], Operations: ['22-15=7']
Exploring Operation: 56/7=8, Resulting Numbers: [60, 8]
Generated Node #3: [60, 8] from Operation: 56/7=8
Current State: 68:[60, 8], Operations: ['22-15=7', '56/7=8']
Exploring Operation: 60+8=68, Resulting Numbers: [68]
68,68 equal: Goal Reached
| 4 |
[
76,
78,
16,
3
] | 17 | [
"78-76=2",
"16+3=19",
"19-2=17"
] | Current State: 17:[76, 78, 16, 3], Operations: []
Exploring Operation: 78-76=2, Resulting Numbers: [16, 3, 2]
Generated Node #2: [16, 3, 2] from Operation: 78-76=2
Current State: 17:[16, 3, 2], Operations: ['78-76=2']
Exploring Operation: 16+3=19, Resulting Numbers: [2, 19]
Generated Node #3: [2, 19] from Operation: 16+3=19
Current State: 17:[2, 19], Operations: ['78-76=2', '16+3=19']
Exploring Operation: 19-2=17, Resulting Numbers: [17]
17,17 equal: Goal Reached
| 4 |
[
66,
29,
87,
81
] | 43 | [
"66-29=37",
"87-81=6",
"37+6=43"
] | Current State: 43:[66, 29, 87, 81], Operations: []
Exploring Operation: 66-29=37, Resulting Numbers: [87, 81, 37]
Generated Node #2: [87, 81, 37] from Operation: 66-29=37
Current State: 43:[87, 81, 37], Operations: ['66-29=37']
Exploring Operation: 87-81=6, Resulting Numbers: [37, 6]
Generated Node #3: [37, 6] from Operation: 87-81=6
Current State: 43:[37, 6], Operations: ['66-29=37', '87-81=6']
Exploring Operation: 37+6=43, Resulting Numbers: [43]
43,43 equal: Goal Reached
| 4 |
[
46,
67,
71,
4
] | 96 | [
"67-46=21",
"71+4=75",
"21+75=96"
] | Current State: 96:[46, 67, 71, 4], Operations: []
Exploring Operation: 67-46=21, Resulting Numbers: [71, 4, 21]
Generated Node #2: [71, 4, 21] from Operation: 67-46=21
Current State: 96:[71, 4, 21], Operations: ['67-46=21']
Exploring Operation: 71+4=75, Resulting Numbers: [21, 75]
Generated Node #3: [21, 75] from Operation: 71+4=75
Current State: 96:[21, 75], Operations: ['67-46=21', '71+4=75']
Exploring Operation: 21+75=96, Resulting Numbers: [96]
96,96 equal: Goal Reached
| 4 |
[
90,
85,
65,
27
] | 97 | [
"90-85=5",
"65+27=92",
"5+92=97"
] | Current State: 97:[90, 85, 65, 27], Operations: []
Exploring Operation: 90-85=5, Resulting Numbers: [65, 27, 5]
Generated Node #2: [65, 27, 5] from Operation: 90-85=5
Current State: 97:[65, 27, 5], Operations: ['90-85=5']
Exploring Operation: 65+27=92, Resulting Numbers: [5, 92]
Generated Node #3: [5, 92] from Operation: 65+27=92
Current State: 97:[5, 92], Operations: ['90-85=5', '65+27=92']
Exploring Operation: 5+92=97, Resulting Numbers: [97]
97,97 equal: Goal Reached
| 4 |
[
82,
33,
3,
9
] | 31 | [
"82*3=246",
"33+246=279",
"279/9=31"
] | Current State: 31:[82, 33, 3, 9], Operations: []
Exploring Operation: 82*3=246, Resulting Numbers: [33, 9, 246]
Generated Node #2: [33, 9, 246] from Operation: 82*3=246
Current State: 31:[33, 9, 246], Operations: ['82*3=246']
Exploring Operation: 33+246=279, Resulting Numbers: [9, 279]
Generated Node #3: [9, 279] from Operation: 33+246=279
Current State: 31:[9, 279], Operations: ['82*3=246', '33+246=279']
Exploring Operation: 279/9=31, Resulting Numbers: [31]
31,31 equal: Goal Reached
| 4 |
[
37,
59,
33,
50
] | 13 | [
"37+59=96",
"33+50=83",
"96-83=13"
] | Current State: 13:[37, 59, 33, 50], Operations: []
Exploring Operation: 37+59=96, Resulting Numbers: [33, 50, 96]
Generated Node #2: [33, 50, 96] from Operation: 37+59=96
Current State: 13:[33, 50, 96], Operations: ['37+59=96']
Exploring Operation: 33+50=83, Resulting Numbers: [96, 83]
Generated Node #3: [96, 83] from Operation: 33+50=83
Current State: 13:[96, 83], Operations: ['37+59=96', '33+50=83']
Exploring Operation: 96-83=13, Resulting Numbers: [13]
13,13 equal: Goal Reached
| 4 |
[
96,
14,
1,
42
] | 41 | [
"96-14=82",
"42-1=41",
"82-41=41"
] | Current State: 41:[96, 14, 1, 42], Operations: []
Exploring Operation: 96-14=82, Resulting Numbers: [1, 42, 82]
Generated Node #2: [1, 42, 82] from Operation: 96-14=82
Current State: 41:[1, 42, 82], Operations: ['96-14=82']
Exploring Operation: 42-1=41, Resulting Numbers: [82, 41]
Generated Node #3: [82, 41] from Operation: 42-1=41
Current State: 41:[82, 41], Operations: ['96-14=82', '42-1=41']
Exploring Operation: 82-41=41, Resulting Numbers: [41]
41,41 equal: Goal Reached
| 4 |
[
66,
48,
99,
96
] | 78 | [
"99-96=3",
"48*3=144",
"144-66=78"
] | Current State: 78:[66, 48, 99, 96], Operations: []
Exploring Operation: 99-96=3, Resulting Numbers: [66, 48, 3]
Generated Node #2: [66, 48, 3] from Operation: 99-96=3
Current State: 78:[66, 48, 3], Operations: ['99-96=3']
Exploring Operation: 48*3=144, Resulting Numbers: [66, 144]
Generated Node #3: [66, 144] from Operation: 48*3=144
Current State: 78:[66, 144], Operations: ['99-96=3', '48*3=144']
Exploring Operation: 144-66=78, Resulting Numbers: [78]
78,78 equal: Goal Reached
| 4 |
[
41,
29,
5,
32
] | 25 | [
"41-29=12",
"5+32=37",
"37-12=25"
] | Current State: 25:[41, 29, 5, 32], Operations: []
Exploring Operation: 41-29=12, Resulting Numbers: [5, 32, 12]
Generated Node #2: [5, 32, 12] from Operation: 41-29=12
Current State: 25:[5, 32, 12], Operations: ['41-29=12']
Exploring Operation: 5+32=37, Resulting Numbers: [12, 37]
Generated Node #3: [12, 37] from Operation: 5+32=37
Current State: 25:[12, 37], Operations: ['41-29=12', '5+32=37']
Exploring Operation: 37-12=25, Resulting Numbers: [25]
25,25 equal: Goal Reached
| 4 |
[
50,
14,
7,
85
] | 28 | [
"50+14=64",
"7+85=92",
"92-64=28"
] | Current State: 28:[50, 14, 7, 85], Operations: []
Exploring Operation: 50+14=64, Resulting Numbers: [7, 85, 64]
Generated Node #2: [7, 85, 64] from Operation: 50+14=64
Current State: 28:[7, 85, 64], Operations: ['50+14=64']
Exploring Operation: 7+85=92, Resulting Numbers: [64, 92]
Generated Node #3: [64, 92] from Operation: 7+85=92
Current State: 28:[64, 92], Operations: ['50+14=64', '7+85=92']
Exploring Operation: 92-64=28, Resulting Numbers: [28]
28,28 equal: Goal Reached
| 4 |
[
10,
80,
3,
63
] | 51 | [
"10+80=90",
"63+90=153",
"153/3=51"
] | Current State: 51:[10, 80, 3, 63], Operations: []
Exploring Operation: 10+80=90, Resulting Numbers: [3, 63, 90]
Generated Node #2: [3, 63, 90] from Operation: 10+80=90
Current State: 51:[3, 63, 90], Operations: ['10+80=90']
Exploring Operation: 63+90=153, Resulting Numbers: [3, 153]
Generated Node #3: [3, 153] from Operation: 63+90=153
Current State: 51:[3, 153], Operations: ['10+80=90', '63+90=153']
Exploring Operation: 153/3=51, Resulting Numbers: [51]
51,51 equal: Goal Reached
| 4 |
[
78,
53,
95,
25
] | 94 | [
"78-53=25",
"25/25=1",
"95-1=94"
] | Current State: 94:[78, 53, 95, 25], Operations: []
Exploring Operation: 78-53=25, Resulting Numbers: [95, 25, 25]
Generated Node #2: [95, 25, 25] from Operation: 78-53=25
Current State: 94:[95, 25, 25], Operations: ['78-53=25']
Exploring Operation: 25/25=1, Resulting Numbers: [95, 1]
Generated Node #3: [95, 1] from Operation: 25/25=1
Current State: 94:[95, 1], Operations: ['78-53=25', '25/25=1']
Exploring Operation: 95-1=94, Resulting Numbers: [94]
94,94 equal: Goal Reached
| 4 |
[
71,
41,
34,
89
] | 85 | [
"71-41=30",
"89-34=55",
"30+55=85"
] | Current State: 85:[71, 41, 34, 89], Operations: []
Exploring Operation: 71-41=30, Resulting Numbers: [34, 89, 30]
Generated Node #2: [34, 89, 30] from Operation: 71-41=30
Current State: 85:[34, 89, 30], Operations: ['71-41=30']
Exploring Operation: 89-34=55, Resulting Numbers: [30, 55]
Generated Node #3: [30, 55] from Operation: 89-34=55
Current State: 85:[30, 55], Operations: ['71-41=30', '89-34=55']
Exploring Operation: 30+55=85, Resulting Numbers: [85]
85,85 equal: Goal Reached
| 4 |
[
37,
41,
23,
50
] | 77 | [
"41-37=4",
"23+50=73",
"4+73=77"
] | Current State: 77:[37, 41, 23, 50], Operations: []
Exploring Operation: 41-37=4, Resulting Numbers: [23, 50, 4]
Generated Node #2: [23, 50, 4] from Operation: 41-37=4
Current State: 77:[23, 50, 4], Operations: ['41-37=4']
Exploring Operation: 23+50=73, Resulting Numbers: [4, 73]
Generated Node #3: [4, 73] from Operation: 23+50=73
Current State: 77:[4, 73], Operations: ['41-37=4', '23+50=73']
Exploring Operation: 4+73=77, Resulting Numbers: [77]
77,77 equal: Goal Reached
| 4 |
[
63,
94,
3,
26
] | 61 | [
"63+94=157",
"26+157=183",
"183/3=61"
] | Current State: 61:[63, 94, 3, 26], Operations: []
Exploring Operation: 63+94=157, Resulting Numbers: [3, 26, 157]
Generated Node #2: [3, 26, 157] from Operation: 63+94=157
Current State: 61:[3, 26, 157], Operations: ['63+94=157']
Exploring Operation: 26+157=183, Resulting Numbers: [3, 183]
Generated Node #3: [3, 183] from Operation: 26+157=183
Current State: 61:[3, 183], Operations: ['63+94=157', '26+157=183']
Exploring Operation: 183/3=61, Resulting Numbers: [61]
61,61 equal: Goal Reached
| 4 |
[
31,
93,
98,
60
] | 78 | [
"93/31=3",
"60/3=20",
"98-20=78"
] | Current State: 78:[31, 93, 98, 60], Operations: []
Exploring Operation: 93/31=3, Resulting Numbers: [98, 60, 3]
Generated Node #2: [98, 60, 3] from Operation: 93/31=3
Current State: 78:[98, 60, 3], Operations: ['93/31=3']
Exploring Operation: 60/3=20, Resulting Numbers: [98, 20]
Generated Node #3: [98, 20] from Operation: 60/3=20
Current State: 78:[98, 20], Operations: ['93/31=3', '60/3=20']
Exploring Operation: 98-20=78, Resulting Numbers: [78]
78,78 equal: Goal Reached
| 4 |
[
5,
25,
41,
42
] | 42 | [
"5*25=125",
"41+42=83",
"125-83=42"
] | Current State: 42:[5, 25, 41, 42], Operations: []
Exploring Operation: 5*25=125, Resulting Numbers: [41, 42, 125]
Generated Node #2: [41, 42, 125] from Operation: 5*25=125
Current State: 42:[41, 42, 125], Operations: ['5*25=125']
Exploring Operation: 41+42=83, Resulting Numbers: [125, 83]
Generated Node #3: [125, 83] from Operation: 41+42=83
Current State: 42:[125, 83], Operations: ['5*25=125', '41+42=83']
Exploring Operation: 125-83=42, Resulting Numbers: [42]
42,42 equal: Goal Reached
| 4 |
[
20,
97,
3,
76
] | 37 | [
"20+97=117",
"117/3=39",
"76-39=37"
] | Current State: 37:[20, 97, 3, 76], Operations: []
Exploring Operation: 20+97=117, Resulting Numbers: [3, 76, 117]
Generated Node #2: [3, 76, 117] from Operation: 20+97=117
Current State: 37:[3, 76, 117], Operations: ['20+97=117']
Exploring Operation: 117/3=39, Resulting Numbers: [76, 39]
Generated Node #3: [76, 39] from Operation: 117/3=39
Current State: 37:[76, 39], Operations: ['20+97=117', '117/3=39']
Exploring Operation: 76-39=37, Resulting Numbers: [37]
37,37 equal: Goal Reached
| 4 |
[
83,
25,
27,
86
] | 48 | [
"86-83=3",
"25*3=75",
"75-27=48"
] | Current State: 48:[83, 25, 27, 86], Operations: []
Exploring Operation: 86-83=3, Resulting Numbers: [25, 27, 3]
Generated Node #2: [25, 27, 3] from Operation: 86-83=3
Current State: 48:[25, 27, 3], Operations: ['86-83=3']
Exploring Operation: 25*3=75, Resulting Numbers: [27, 75]
Generated Node #3: [27, 75] from Operation: 25*3=75
Current State: 48:[27, 75], Operations: ['86-83=3', '25*3=75']
Exploring Operation: 75-27=48, Resulting Numbers: [48]
48,48 equal: Goal Reached
| 4 |
[
11,
4,
36,
35
] | 27 | [
"11*4=44",
"36+35=71",
"71-44=27"
] | Current State: 27:[11, 4, 36, 35], Operations: []
Exploring Operation: 11*4=44, Resulting Numbers: [36, 35, 44]
Generated Node #2: [36, 35, 44] from Operation: 11*4=44
Current State: 27:[36, 35, 44], Operations: ['11*4=44']
Exploring Operation: 36+35=71, Resulting Numbers: [44, 71]
Generated Node #3: [44, 71] from Operation: 36+35=71
Current State: 27:[44, 71], Operations: ['11*4=44', '36+35=71']
Exploring Operation: 71-44=27, Resulting Numbers: [27]
27,27 equal: Goal Reached
| 4 |
[
63,
4,
7,
63
] | 29 | [
"63/63=1",
"4*7=28",
"1+28=29"
] | Current State: 29:[63, 4, 7, 63], Operations: []
Exploring Operation: 63/63=1, Resulting Numbers: [4, 7, 1]
Generated Node #2: [4, 7, 1] from Operation: 63/63=1
Current State: 29:[4, 7, 1], Operations: ['63/63=1']
Exploring Operation: 4*7=28, Resulting Numbers: [1, 28]
Generated Node #3: [1, 28] from Operation: 4*7=28
Current State: 29:[1, 28], Operations: ['63/63=1', '4*7=28']
Exploring Operation: 1+28=29, Resulting Numbers: [29]
29,29 equal: Goal Reached
| 4 |
[
18,
9,
55,
95
] | 31 | [
"18-9=9",
"95-55=40",
"40-9=31"
] | Current State: 31:[18, 9, 55, 95], Operations: []
Exploring Operation: 18-9=9, Resulting Numbers: [55, 95, 9]
Generated Node #2: [55, 95, 9] from Operation: 18-9=9
Current State: 31:[55, 95, 9], Operations: ['18-9=9']
Exploring Operation: 95-55=40, Resulting Numbers: [9, 40]
Generated Node #3: [9, 40] from Operation: 95-55=40
Current State: 31:[9, 40], Operations: ['18-9=9', '95-55=40']
Exploring Operation: 40-9=31, Resulting Numbers: [31]
31,31 equal: Goal Reached
| 4 |
[
67,
84,
16,
64
] | 97 | [
"84-67=17",
"16+64=80",
"17+80=97"
] | Current State: 97:[67, 84, 16, 64], Operations: []
Exploring Operation: 84-67=17, Resulting Numbers: [16, 64, 17]
Generated Node #2: [16, 64, 17] from Operation: 84-67=17
Current State: 97:[16, 64, 17], Operations: ['84-67=17']
Exploring Operation: 16+64=80, Resulting Numbers: [17, 80]
Generated Node #3: [17, 80] from Operation: 16+64=80
Current State: 97:[17, 80], Operations: ['84-67=17', '16+64=80']
Exploring Operation: 17+80=97, Resulting Numbers: [97]
97,97 equal: Goal Reached
| 4 |
[
56,
75,
27,
55
] | 47 | [
"75-56=19",
"55-27=28",
"19+28=47"
] | Current State: 47:[56, 75, 27, 55], Operations: []
Exploring Operation: 75-56=19, Resulting Numbers: [27, 55, 19]
Generated Node #2: [27, 55, 19] from Operation: 75-56=19
Current State: 47:[27, 55, 19], Operations: ['75-56=19']
Exploring Operation: 55-27=28, Resulting Numbers: [19, 28]
Generated Node #3: [19, 28] from Operation: 55-27=28
Current State: 47:[19, 28], Operations: ['75-56=19', '55-27=28']
Exploring Operation: 19+28=47, Resulting Numbers: [47]
47,47 equal: Goal Reached
| 4 |
[
25,
75,
63,
76
] | 73 | [
"63-25=38",
"76/38=2",
"75-2=73"
] | Current State: 73:[25, 75, 63, 76], Operations: []
Exploring Operation: 63-25=38, Resulting Numbers: [75, 76, 38]
Generated Node #2: [75, 76, 38] from Operation: 63-25=38
Current State: 73:[75, 76, 38], Operations: ['63-25=38']
Exploring Operation: 76/38=2, Resulting Numbers: [75, 2]
Generated Node #3: [75, 2] from Operation: 76/38=2
Current State: 73:[75, 2], Operations: ['63-25=38', '76/38=2']
Exploring Operation: 75-2=73, Resulting Numbers: [73]
73,73 equal: Goal Reached
| 4 |
[
98,
68,
1,
2
] | 63 | [
"98-1=97",
"68/2=34",
"97-34=63"
] | Current State: 63:[98, 68, 1, 2], Operations: []
Exploring Operation: 98-1=97, Resulting Numbers: [68, 2, 97]
Generated Node #2: [68, 2, 97] from Operation: 98-1=97
Current State: 63:[68, 2, 97], Operations: ['98-1=97']
Exploring Operation: 68/2=34, Resulting Numbers: [97, 34]
Generated Node #3: [97, 34] from Operation: 68/2=34
Current State: 63:[97, 34], Operations: ['98-1=97', '68/2=34']
Exploring Operation: 97-34=63, Resulting Numbers: [63]
63,63 equal: Goal Reached
| 4 |
[
64,
10,
86,
91
] | 62 | [
"91-86=5",
"10/5=2",
"64-2=62"
] | Current State: 62:[64, 10, 86, 91], Operations: []
Exploring Operation: 91-86=5, Resulting Numbers: [64, 10, 5]
Generated Node #2: [64, 10, 5] from Operation: 91-86=5
Current State: 62:[64, 10, 5], Operations: ['91-86=5']
Exploring Operation: 10/5=2, Resulting Numbers: [64, 2]
Generated Node #3: [64, 2] from Operation: 10/5=2
Current State: 62:[64, 2], Operations: ['91-86=5', '10/5=2']
Exploring Operation: 64-2=62, Resulting Numbers: [62]
62,62 equal: Goal Reached
| 4 |
[
92,
95,
35,
91
] | 53 | [
"95-92=3",
"91-35=56",
"56-3=53"
] | Current State: 53:[92, 95, 35, 91], Operations: []
Exploring Operation: 95-92=3, Resulting Numbers: [35, 91, 3]
Generated Node #2: [35, 91, 3] from Operation: 95-92=3
Current State: 53:[35, 91, 3], Operations: ['95-92=3']
Exploring Operation: 91-35=56, Resulting Numbers: [3, 56]
Generated Node #3: [3, 56] from Operation: 91-35=56
Current State: 53:[3, 56], Operations: ['95-92=3', '91-35=56']
Exploring Operation: 56-3=53, Resulting Numbers: [53]
53,53 equal: Goal Reached
| 4 |
[
90,
49,
37,
40
] | 36 | [
"90-49=41",
"37+40=77",
"77-41=36"
] | Current State: 36:[90, 49, 37, 40], Operations: []
Exploring Operation: 90-49=41, Resulting Numbers: [37, 40, 41]
Generated Node #2: [37, 40, 41] from Operation: 90-49=41
Current State: 36:[37, 40, 41], Operations: ['90-49=41']
Exploring Operation: 37+40=77, Resulting Numbers: [41, 77]
Generated Node #3: [41, 77] from Operation: 37+40=77
Current State: 36:[41, 77], Operations: ['90-49=41', '37+40=77']
Exploring Operation: 77-41=36, Resulting Numbers: [36]
36,36 equal: Goal Reached
| 4 |
[
35,
47,
50,
6
] | 70 | [
"35*6=210",
"50-47=3",
"210/3=70"
] | Current State: 70:[35, 47, 50, 6], Operations: []
Exploring Operation: 35*6=210, Resulting Numbers: [47, 50, 210]
Generated Node #2: [47, 50, 210] from Operation: 35*6=210
Current State: 70:[47, 50, 210], Operations: ['35*6=210']
Exploring Operation: 50-47=3, Resulting Numbers: [210, 3]
Generated Node #3: [210, 3] from Operation: 50-47=3
Current State: 70:[210, 3], Operations: ['35*6=210', '50-47=3']
Exploring Operation: 210/3=70, Resulting Numbers: [70]
70,70 equal: Goal Reached
| 4 |
[
2,
87,
33,
17
] | 86 | [
"2*17=34",
"87+33=120",
"120-34=86"
] | Current State: 86:[2, 87, 33, 17], Operations: []
Exploring Operation: 2*17=34, Resulting Numbers: [87, 33, 34]
Generated Node #2: [87, 33, 34] from Operation: 2*17=34
Current State: 86:[87, 33, 34], Operations: ['2*17=34']
Exploring Operation: 87+33=120, Resulting Numbers: [34, 120]
Generated Node #3: [34, 120] from Operation: 87+33=120
Current State: 86:[34, 120], Operations: ['2*17=34', '87+33=120']
Exploring Operation: 120-34=86, Resulting Numbers: [86]
86,86 equal: Goal Reached
| 4 |
[
66,
76,
81,
93
] | 22 | [
"76-66=10",
"93-81=12",
"10+12=22"
] | Current State: 22:[66, 76, 81, 93], Operations: []
Exploring Operation: 76-66=10, Resulting Numbers: [81, 93, 10]
Generated Node #2: [81, 93, 10] from Operation: 76-66=10
Current State: 22:[81, 93, 10], Operations: ['76-66=10']
Exploring Operation: 93-81=12, Resulting Numbers: [10, 12]
Generated Node #3: [10, 12] from Operation: 93-81=12
Current State: 22:[10, 12], Operations: ['76-66=10', '93-81=12']
Exploring Operation: 10+12=22, Resulting Numbers: [22]
22,22 equal: Goal Reached
| 4 |
[
35,
57,
51,
45
] | 40 | [
"35*57=1995",
"45+1995=2040",
"2040/51=40"
] | Current State: 40:[35, 57, 51, 45], Operations: []
Exploring Operation: 35*57=1995, Resulting Numbers: [51, 45, 1995]
Generated Node #2: [51, 45, 1995] from Operation: 35*57=1995
Current State: 40:[51, 45, 1995], Operations: ['35*57=1995']
Exploring Operation: 45+1995=2040, Resulting Numbers: [51, 2040]
Generated Node #3: [51, 2040] from Operation: 45+1995=2040
Current State: 40:[51, 2040], Operations: ['35*57=1995', '45+1995=2040']
Exploring Operation: 2040/51=40, Resulting Numbers: [40]
40,40 equal: Goal Reached
| 4 |
[
29,
44,
81,
82
] | 72 | [
"29+44=73",
"82-81=1",
"73-1=72"
] | Current State: 72:[29, 44, 81, 82], Operations: []
Exploring Operation: 29+44=73, Resulting Numbers: [81, 82, 73]
Generated Node #2: [81, 82, 73] from Operation: 29+44=73
Current State: 72:[81, 82, 73], Operations: ['29+44=73']
Exploring Operation: 82-81=1, Resulting Numbers: [73, 1]
Generated Node #3: [73, 1] from Operation: 82-81=1
Current State: 72:[73, 1], Operations: ['29+44=73', '82-81=1']
Exploring Operation: 73-1=72, Resulting Numbers: [72]
72,72 equal: Goal Reached
| 4 |
[
49,
20,
72,
27
] | 36 | [
"49-20=29",
"29-27=2",
"72/2=36"
] | Current State: 36:[49, 20, 72, 27], Operations: []
Exploring Operation: 49-20=29, Resulting Numbers: [72, 27, 29]
Generated Node #2: [72, 27, 29] from Operation: 49-20=29
Current State: 36:[72, 27, 29], Operations: ['49-20=29']
Exploring Operation: 29-27=2, Resulting Numbers: [72, 2]
Generated Node #3: [72, 2] from Operation: 29-27=2
Current State: 36:[72, 2], Operations: ['49-20=29', '29-27=2']
Exploring Operation: 72/2=36, Resulting Numbers: [36]
36,36 equal: Goal Reached
| 4 |
[
10,
7,
11,
14
] | 11 | [
"10+11=21",
"21/7=3",
"14-3=11"
] | Current State: 11:[10, 7, 11, 14], Operations: []
Exploring Operation: 10+11=21, Resulting Numbers: [7, 14, 21]
Generated Node #2: [7, 14, 21] from Operation: 10+11=21
Current State: 11:[7, 14, 21], Operations: ['10+11=21']
Exploring Operation: 21/7=3, Resulting Numbers: [14, 3]
Generated Node #3: [14, 3] from Operation: 21/7=3
Current State: 11:[14, 3], Operations: ['10+11=21', '21/7=3']
Exploring Operation: 14-3=11, Resulting Numbers: [11]
11,11 equal: Goal Reached
| 4 |
[
3,
52,
20,
12
] | 47 | [
"3+52=55",
"20-12=8",
"55-8=47"
] | Current State: 47:[3, 52, 20, 12], Operations: []
Exploring Operation: 3+52=55, Resulting Numbers: [20, 12, 55]
Generated Node #2: [20, 12, 55] from Operation: 3+52=55
Current State: 47:[20, 12, 55], Operations: ['3+52=55']
Exploring Operation: 20-12=8, Resulting Numbers: [55, 8]
Generated Node #3: [55, 8] from Operation: 20-12=8
Current State: 47:[55, 8], Operations: ['3+52=55', '20-12=8']
Exploring Operation: 55-8=47, Resulting Numbers: [47]
47,47 equal: Goal Reached
| 4 |
[
96,
90,
4,
32
] | 30 | [
"96-90=6",
"4+32=36",
"36-6=30"
] | Current State: 30:[96, 90, 4, 32], Operations: []
Exploring Operation: 96-90=6, Resulting Numbers: [4, 32, 6]
Generated Node #2: [4, 32, 6] from Operation: 96-90=6
Current State: 30:[4, 32, 6], Operations: ['96-90=6']
Exploring Operation: 4+32=36, Resulting Numbers: [6, 36]
Generated Node #3: [6, 36] from Operation: 4+32=36
Current State: 30:[6, 36], Operations: ['96-90=6', '4+32=36']
Exploring Operation: 36-6=30, Resulting Numbers: [30]
30,30 equal: Goal Reached
| 4 |
[
75,
19,
60,
64
] | 14 | [
"75-19=56",
"64-60=4",
"56/4=14"
] | Current State: 14:[75, 19, 60, 64], Operations: []
Exploring Operation: 75-19=56, Resulting Numbers: [60, 64, 56]
Generated Node #2: [60, 64, 56] from Operation: 75-19=56
Current State: 14:[60, 64, 56], Operations: ['75-19=56']
Exploring Operation: 64-60=4, Resulting Numbers: [56, 4]
Generated Node #3: [56, 4] from Operation: 64-60=4
Current State: 14:[56, 4], Operations: ['75-19=56', '64-60=4']
Exploring Operation: 56/4=14, Resulting Numbers: [14]
14,14 equal: Goal Reached
| 4 |
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