nums listlengths 4 4 | target int64 10 100 | solution listlengths 3 3 | optimal_path stringlengths 282 529 | start_size int64 4 4 |
|---|---|---|---|---|
[
2,
50,
6,
9
] | 47 | [
"2*6=12",
"50+9=59",
"59-12=47"
] | Current State: 47:[2, 50, 6, 9], Operations: []
Exploring Operation: 2*6=12, Resulting Numbers: [50, 9, 12]
Generated Node #2: [50, 9, 12] from Operation: 2*6=12
Current State: 47:[50, 9, 12], Operations: ['2*6=12']
Exploring Operation: 50+9=59, Resulting Numbers: [12, 59]
Generated Node #3: [12, 59] from Operation: 50+9=59
Current State: 47:[12, 59], Operations: ['2*6=12', '50+9=59']
Exploring Operation: 59-12=47, Resulting Numbers: [47]
47,47 equal: Goal Reached
| 4 |
[
27,
26,
44,
72
] | 26 | [
"27+44=71",
"72-71=1",
"26*1=26"
] | Current State: 26:[27, 26, 44, 72], Operations: []
Exploring Operation: 27+44=71, Resulting Numbers: [26, 72, 71]
Generated Node #2: [26, 72, 71] from Operation: 27+44=71
Current State: 26:[26, 72, 71], Operations: ['27+44=71']
Exploring Operation: 72-71=1, Resulting Numbers: [26, 1]
Generated Node #3: [26, 1] from Operation: 72-71=1
Current State: 26:[26, 1], Operations: ['27+44=71', '72-71=1']
Exploring Operation: 26*1=26, Resulting Numbers: [26]
26,26 equal: Goal Reached
| 4 |
[
30,
33,
59,
96
] | 61 | [
"96-30=66",
"66/33=2",
"59+2=61"
] | Current State: 61:[30, 33, 59, 96], Operations: []
Exploring Operation: 96-30=66, Resulting Numbers: [33, 59, 66]
Generated Node #2: [33, 59, 66] from Operation: 96-30=66
Current State: 61:[33, 59, 66], Operations: ['96-30=66']
Exploring Operation: 66/33=2, Resulting Numbers: [59, 2]
Generated Node #3: [59, 2] from Operation: 66/33=2
Current State: 61:[59, 2], Operations: ['96-30=66', '66/33=2']
Exploring Operation: 59+2=61, Resulting Numbers: [61]
61,61 equal: Goal Reached
| 4 |
[
9,
53,
88,
5
] | 43 | [
"88*5=440",
"440-53=387",
"387/9=43"
] | Current State: 43:[9, 53, 88, 5], Operations: []
Exploring Operation: 88*5=440, Resulting Numbers: [9, 53, 440]
Generated Node #2: [9, 53, 440] from Operation: 88*5=440
Current State: 43:[9, 53, 440], Operations: ['88*5=440']
Exploring Operation: 440-53=387, Resulting Numbers: [9, 387]
Generated Node #3: [9, 387] from Operation: 440-53=387
Current State: 43:[9, 387], Operations: ['88*5=440', '440-53=387']
Exploring Operation: 387/9=43, Resulting Numbers: [43]
43,43 equal: Goal Reached
| 4 |
[
44,
2,
5,
47
] | 21 | [
"47-44=3",
"2+5=7",
"3*7=21"
] | Current State: 21:[44, 2, 5, 47], Operations: []
Exploring Operation: 47-44=3, Resulting Numbers: [2, 5, 3]
Generated Node #2: [2, 5, 3] from Operation: 47-44=3
Current State: 21:[2, 5, 3], Operations: ['47-44=3']
Exploring Operation: 2+5=7, Resulting Numbers: [3, 7]
Generated Node #3: [3, 7] from Operation: 2+5=7
Current State: 21:[3, 7], Operations: ['47-44=3', '2+5=7']
Exploring Operation: 3*7=21, Resulting Numbers: [21]
21,21 equal: Goal Reached
| 4 |
[
88,
56,
78,
51
] | 47 | [
"78-56=22",
"88/22=4",
"51-4=47"
] | Current State: 47:[88, 56, 78, 51], Operations: []
Exploring Operation: 78-56=22, Resulting Numbers: [88, 51, 22]
Generated Node #2: [88, 51, 22] from Operation: 78-56=22
Current State: 47:[88, 51, 22], Operations: ['78-56=22']
Exploring Operation: 88/22=4, Resulting Numbers: [51, 4]
Generated Node #3: [51, 4] from Operation: 88/22=4
Current State: 47:[51, 4], Operations: ['78-56=22', '88/22=4']
Exploring Operation: 51-4=47, Resulting Numbers: [47]
47,47 equal: Goal Reached
| 4 |
[
5,
2,
22,
39
] | 64 | [
"5-2=3",
"22+39=61",
"3+61=64"
] | Current State: 64:[5, 2, 22, 39], Operations: []
Exploring Operation: 5-2=3, Resulting Numbers: [22, 39, 3]
Generated Node #2: [22, 39, 3] from Operation: 5-2=3
Current State: 64:[22, 39, 3], Operations: ['5-2=3']
Exploring Operation: 22+39=61, Resulting Numbers: [3, 61]
Generated Node #3: [3, 61] from Operation: 22+39=61
Current State: 64:[3, 61], Operations: ['5-2=3', '22+39=61']
Exploring Operation: 3+61=64, Resulting Numbers: [64]
64,64 equal: Goal Reached
| 4 |
[
95,
65,
32,
35
] | 93 | [
"95+65=160",
"32+35=67",
"160-67=93"
] | Current State: 93:[95, 65, 32, 35], Operations: []
Exploring Operation: 95+65=160, Resulting Numbers: [32, 35, 160]
Generated Node #2: [32, 35, 160] from Operation: 95+65=160
Current State: 93:[32, 35, 160], Operations: ['95+65=160']
Exploring Operation: 32+35=67, Resulting Numbers: [160, 67]
Generated Node #3: [160, 67] from Operation: 32+35=67
Current State: 93:[160, 67], Operations: ['95+65=160', '32+35=67']
Exploring Operation: 160-67=93, Resulting Numbers: [93]
93,93 equal: Goal Reached
| 4 |
[
90,
14,
76,
19
] | 18 | [
"90-14=76",
"76/76=1",
"19-1=18"
] | Current State: 18:[90, 14, 76, 19], Operations: []
Exploring Operation: 90-14=76, Resulting Numbers: [76, 19, 76]
Generated Node #2: [76, 19, 76] from Operation: 90-14=76
Current State: 18:[76, 19, 76], Operations: ['90-14=76']
Exploring Operation: 76/76=1, Resulting Numbers: [19, 1]
Generated Node #3: [19, 1] from Operation: 76/76=1
Current State: 18:[19, 1], Operations: ['90-14=76', '76/76=1']
Exploring Operation: 19-1=18, Resulting Numbers: [18]
18,18 equal: Goal Reached
| 4 |
[
9,
57,
3,
91
] | 63 | [
"91-9=82",
"57/3=19",
"82-19=63"
] | Current State: 63:[9, 57, 3, 91], Operations: []
Exploring Operation: 91-9=82, Resulting Numbers: [57, 3, 82]
Generated Node #2: [57, 3, 82] from Operation: 91-9=82
Current State: 63:[57, 3, 82], Operations: ['91-9=82']
Exploring Operation: 57/3=19, Resulting Numbers: [82, 19]
Generated Node #3: [82, 19] from Operation: 57/3=19
Current State: 63:[82, 19], Operations: ['91-9=82', '57/3=19']
Exploring Operation: 82-19=63, Resulting Numbers: [63]
63,63 equal: Goal Reached
| 4 |
[
50,
47,
58,
18
] | 79 | [
"50-47=3",
"58+18=76",
"3+76=79"
] | Current State: 79:[50, 47, 58, 18], Operations: []
Exploring Operation: 50-47=3, Resulting Numbers: [58, 18, 3]
Generated Node #2: [58, 18, 3] from Operation: 50-47=3
Current State: 79:[58, 18, 3], Operations: ['50-47=3']
Exploring Operation: 58+18=76, Resulting Numbers: [3, 76]
Generated Node #3: [3, 76] from Operation: 58+18=76
Current State: 79:[3, 76], Operations: ['50-47=3', '58+18=76']
Exploring Operation: 3+76=79, Resulting Numbers: [79]
79,79 equal: Goal Reached
| 4 |
[
42,
90,
45,
56
] | 37 | [
"90-42=48",
"56-45=11",
"48-11=37"
] | Current State: 37:[42, 90, 45, 56], Operations: []
Exploring Operation: 90-42=48, Resulting Numbers: [45, 56, 48]
Generated Node #2: [45, 56, 48] from Operation: 90-42=48
Current State: 37:[45, 56, 48], Operations: ['90-42=48']
Exploring Operation: 56-45=11, Resulting Numbers: [48, 11]
Generated Node #3: [48, 11] from Operation: 56-45=11
Current State: 37:[48, 11], Operations: ['90-42=48', '56-45=11']
Exploring Operation: 48-11=37, Resulting Numbers: [37]
37,37 equal: Goal Reached
| 4 |
[
54,
19,
37,
90
] | 49 | [
"37-19=18",
"90/18=5",
"54-5=49"
] | Current State: 49:[54, 19, 37, 90], Operations: []
Exploring Operation: 37-19=18, Resulting Numbers: [54, 90, 18]
Generated Node #2: [54, 90, 18] from Operation: 37-19=18
Current State: 49:[54, 90, 18], Operations: ['37-19=18']
Exploring Operation: 90/18=5, Resulting Numbers: [54, 5]
Generated Node #3: [54, 5] from Operation: 90/18=5
Current State: 49:[54, 5], Operations: ['37-19=18', '90/18=5']
Exploring Operation: 54-5=49, Resulting Numbers: [49]
49,49 equal: Goal Reached
| 4 |
[
99,
30,
70,
30
] | 42 | [
"99*30=2970",
"2970-30=2940",
"2940/70=42"
] | Current State: 42:[99, 30, 70, 30], Operations: []
Exploring Operation: 99*30=2970, Resulting Numbers: [70, 2970]
Generated Node #2: [70, 2970] from Operation: 99*30=2970
Current State: 42:[70, 2970], Operations: ['99*30=2970']
Exploring Operation: 2970-30=2940, Resulting Numbers: [70, 2940]
Generated Node #3: [70, 2940] from Operation: 2970-30=2940
Current State: 42:[70, 2940], Operations: ['99*30=2970', '2970-30=2940']
Exploring Operation: 2940/70=42, Resulting Numbers: [42]
42,42 equal: Goal Reached
| 4 |
[
24,
18,
10,
62
] | 54 | [
"10+62=72",
"72/24=3",
"18*3=54"
] | Current State: 54:[24, 18, 10, 62], Operations: []
Exploring Operation: 10+62=72, Resulting Numbers: [24, 18, 72]
Generated Node #2: [24, 18, 72] from Operation: 10+62=72
Current State: 54:[24, 18, 72], Operations: ['10+62=72']
Exploring Operation: 72/24=3, Resulting Numbers: [18, 3]
Generated Node #3: [18, 3] from Operation: 72/24=3
Current State: 54:[18, 3], Operations: ['10+62=72', '72/24=3']
Exploring Operation: 18*3=54, Resulting Numbers: [54]
54,54 equal: Goal Reached
| 4 |
[
1,
38,
27,
55
] | 45 | [
"38-1=37",
"27+55=82",
"82-37=45"
] | Current State: 45:[1, 38, 27, 55], Operations: []
Exploring Operation: 38-1=37, Resulting Numbers: [27, 55, 37]
Generated Node #2: [27, 55, 37] from Operation: 38-1=37
Current State: 45:[27, 55, 37], Operations: ['38-1=37']
Exploring Operation: 27+55=82, Resulting Numbers: [37, 82]
Generated Node #3: [37, 82] from Operation: 27+55=82
Current State: 45:[37, 82], Operations: ['38-1=37', '27+55=82']
Exploring Operation: 82-37=45, Resulting Numbers: [45]
45,45 equal: Goal Reached
| 4 |
[
11,
56,
40,
52
] | 55 | [
"11+56=67",
"52-40=12",
"67-12=55"
] | Current State: 55:[11, 56, 40, 52], Operations: []
Exploring Operation: 11+56=67, Resulting Numbers: [40, 52, 67]
Generated Node #2: [40, 52, 67] from Operation: 11+56=67
Current State: 55:[40, 52, 67], Operations: ['11+56=67']
Exploring Operation: 52-40=12, Resulting Numbers: [67, 12]
Generated Node #3: [67, 12] from Operation: 52-40=12
Current State: 55:[67, 12], Operations: ['11+56=67', '52-40=12']
Exploring Operation: 67-12=55, Resulting Numbers: [55]
55,55 equal: Goal Reached
| 4 |
[
54,
54,
50,
65
] | 14 | [
"54/54=1",
"65-50=15",
"15-1=14"
] | Current State: 14:[54, 54, 50, 65], Operations: []
Exploring Operation: 54/54=1, Resulting Numbers: [50, 65, 1]
Generated Node #2: [50, 65, 1] from Operation: 54/54=1
Current State: 14:[50, 65, 1], Operations: ['54/54=1']
Exploring Operation: 65-50=15, Resulting Numbers: [1, 15]
Generated Node #3: [1, 15] from Operation: 65-50=15
Current State: 14:[1, 15], Operations: ['54/54=1', '65-50=15']
Exploring Operation: 15-1=14, Resulting Numbers: [14]
14,14 equal: Goal Reached
| 4 |
[
92,
58,
81,
78
] | 82 | [
"81-58=23",
"92/23=4",
"78+4=82"
] | Current State: 82:[92, 58, 81, 78], Operations: []
Exploring Operation: 81-58=23, Resulting Numbers: [92, 78, 23]
Generated Node #2: [92, 78, 23] from Operation: 81-58=23
Current State: 82:[92, 78, 23], Operations: ['81-58=23']
Exploring Operation: 92/23=4, Resulting Numbers: [78, 4]
Generated Node #3: [78, 4] from Operation: 92/23=4
Current State: 82:[78, 4], Operations: ['81-58=23', '92/23=4']
Exploring Operation: 78+4=82, Resulting Numbers: [82]
82,82 equal: Goal Reached
| 4 |
[
80,
32,
14,
82
] | 16 | [
"80+32=112",
"14+82=96",
"112-96=16"
] | Current State: 16:[80, 32, 14, 82], Operations: []
Exploring Operation: 80+32=112, Resulting Numbers: [14, 82, 112]
Generated Node #2: [14, 82, 112] from Operation: 80+32=112
Current State: 16:[14, 82, 112], Operations: ['80+32=112']
Exploring Operation: 14+82=96, Resulting Numbers: [112, 96]
Generated Node #3: [112, 96] from Operation: 14+82=96
Current State: 16:[112, 96], Operations: ['80+32=112', '14+82=96']
Exploring Operation: 112-96=16, Resulting Numbers: [16]
16,16 equal: Goal Reached
| 4 |
[
54,
23,
57,
55
] | 29 | [
"54-23=31",
"57-55=2",
"31-2=29"
] | Current State: 29:[54, 23, 57, 55], Operations: []
Exploring Operation: 54-23=31, Resulting Numbers: [57, 55, 31]
Generated Node #2: [57, 55, 31] from Operation: 54-23=31
Current State: 29:[57, 55, 31], Operations: ['54-23=31']
Exploring Operation: 57-55=2, Resulting Numbers: [31, 2]
Generated Node #3: [31, 2] from Operation: 57-55=2
Current State: 29:[31, 2], Operations: ['54-23=31', '57-55=2']
Exploring Operation: 31-2=29, Resulting Numbers: [29]
29,29 equal: Goal Reached
| 4 |
[
69,
50,
87,
36
] | 68 | [
"69+50=119",
"87-36=51",
"119-51=68"
] | Current State: 68:[69, 50, 87, 36], Operations: []
Exploring Operation: 69+50=119, Resulting Numbers: [87, 36, 119]
Generated Node #2: [87, 36, 119] from Operation: 69+50=119
Current State: 68:[87, 36, 119], Operations: ['69+50=119']
Exploring Operation: 87-36=51, Resulting Numbers: [119, 51]
Generated Node #3: [119, 51] from Operation: 87-36=51
Current State: 68:[119, 51], Operations: ['69+50=119', '87-36=51']
Exploring Operation: 119-51=68, Resulting Numbers: [68]
68,68 equal: Goal Reached
| 4 |
[
93,
20,
24,
29
] | 97 | [
"29-24=5",
"20/5=4",
"93+4=97"
] | Current State: 97:[93, 20, 24, 29], Operations: []
Exploring Operation: 29-24=5, Resulting Numbers: [93, 20, 5]
Generated Node #2: [93, 20, 5] from Operation: 29-24=5
Current State: 97:[93, 20, 5], Operations: ['29-24=5']
Exploring Operation: 20/5=4, Resulting Numbers: [93, 4]
Generated Node #3: [93, 4] from Operation: 20/5=4
Current State: 97:[93, 4], Operations: ['29-24=5', '20/5=4']
Exploring Operation: 93+4=97, Resulting Numbers: [97]
97,97 equal: Goal Reached
| 4 |
[
4,
43,
13,
34
] | 80 | [
"4*34=136",
"43+13=56",
"136-56=80"
] | Current State: 80:[4, 43, 13, 34], Operations: []
Exploring Operation: 4*34=136, Resulting Numbers: [43, 13, 136]
Generated Node #2: [43, 13, 136] from Operation: 4*34=136
Current State: 80:[43, 13, 136], Operations: ['4*34=136']
Exploring Operation: 43+13=56, Resulting Numbers: [136, 56]
Generated Node #3: [136, 56] from Operation: 43+13=56
Current State: 80:[136, 56], Operations: ['4*34=136', '43+13=56']
Exploring Operation: 136-56=80, Resulting Numbers: [80]
80,80 equal: Goal Reached
| 4 |
[
68,
77,
68,
8
] | 11 | [
"68/68=1",
"8-1=7",
"77/7=11"
] | Current State: 11:[68, 77, 68, 8], Operations: []
Exploring Operation: 68/68=1, Resulting Numbers: [77, 8, 1]
Generated Node #2: [77, 8, 1] from Operation: 68/68=1
Current State: 11:[77, 8, 1], Operations: ['68/68=1']
Exploring Operation: 8-1=7, Resulting Numbers: [77, 7]
Generated Node #3: [77, 7] from Operation: 8-1=7
Current State: 11:[77, 7], Operations: ['68/68=1', '8-1=7']
Exploring Operation: 77/7=11, Resulting Numbers: [11]
11,11 equal: Goal Reached
| 4 |
[
36,
17,
60,
65
] | 72 | [
"36+17=53",
"60+65=125",
"125-53=72"
] | Current State: 72:[36, 17, 60, 65], Operations: []
Exploring Operation: 36+17=53, Resulting Numbers: [60, 65, 53]
Generated Node #2: [60, 65, 53] from Operation: 36+17=53
Current State: 72:[60, 65, 53], Operations: ['36+17=53']
Exploring Operation: 60+65=125, Resulting Numbers: [53, 125]
Generated Node #3: [53, 125] from Operation: 60+65=125
Current State: 72:[53, 125], Operations: ['36+17=53', '60+65=125']
Exploring Operation: 125-53=72, Resulting Numbers: [72]
72,72 equal: Goal Reached
| 4 |
[
25,
96,
85,
88
] | 74 | [
"96-25=71",
"88-85=3",
"71+3=74"
] | Current State: 74:[25, 96, 85, 88], Operations: []
Exploring Operation: 96-25=71, Resulting Numbers: [85, 88, 71]
Generated Node #2: [85, 88, 71] from Operation: 96-25=71
Current State: 74:[85, 88, 71], Operations: ['96-25=71']
Exploring Operation: 88-85=3, Resulting Numbers: [71, 3]
Generated Node #3: [71, 3] from Operation: 88-85=3
Current State: 74:[71, 3], Operations: ['96-25=71', '88-85=3']
Exploring Operation: 71+3=74, Resulting Numbers: [74]
74,74 equal: Goal Reached
| 4 |
[
8,
99,
85,
33
] | 74 | [
"85-8=77",
"99/33=3",
"77-3=74"
] | Current State: 74:[8, 99, 85, 33], Operations: []
Exploring Operation: 85-8=77, Resulting Numbers: [99, 33, 77]
Generated Node #2: [99, 33, 77] from Operation: 85-8=77
Current State: 74:[99, 33, 77], Operations: ['85-8=77']
Exploring Operation: 99/33=3, Resulting Numbers: [77, 3]
Generated Node #3: [77, 3] from Operation: 99/33=3
Current State: 74:[77, 3], Operations: ['85-8=77', '99/33=3']
Exploring Operation: 77-3=74, Resulting Numbers: [74]
74,74 equal: Goal Reached
| 4 |
[
8,
65,
67,
48
] | 58 | [
"65-8=57",
"67+48=115",
"115-57=58"
] | Current State: 58:[8, 65, 67, 48], Operations: []
Exploring Operation: 65-8=57, Resulting Numbers: [67, 48, 57]
Generated Node #2: [67, 48, 57] from Operation: 65-8=57
Current State: 58:[67, 48, 57], Operations: ['65-8=57']
Exploring Operation: 67+48=115, Resulting Numbers: [57, 115]
Generated Node #3: [57, 115] from Operation: 67+48=115
Current State: 58:[57, 115], Operations: ['65-8=57', '67+48=115']
Exploring Operation: 115-57=58, Resulting Numbers: [58]
58,58 equal: Goal Reached
| 4 |
[
16,
54,
1,
12
] | 58 | [
"16+54=70",
"1*12=12",
"70-12=58"
] | Current State: 58:[16, 54, 1, 12], Operations: []
Exploring Operation: 16+54=70, Resulting Numbers: [1, 12, 70]
Generated Node #2: [1, 12, 70] from Operation: 16+54=70
Current State: 58:[1, 12, 70], Operations: ['16+54=70']
Exploring Operation: 1*12=12, Resulting Numbers: [70, 12]
Generated Node #3: [70, 12] from Operation: 1*12=12
Current State: 58:[70, 12], Operations: ['16+54=70', '1*12=12']
Exploring Operation: 70-12=58, Resulting Numbers: [58]
58,58 equal: Goal Reached
| 4 |
[
10,
59,
17,
2
] | 71 | [
"10/2=5",
"59+17=76",
"76-5=71"
] | Current State: 71:[10, 59, 17, 2], Operations: []
Exploring Operation: 10/2=5, Resulting Numbers: [59, 17, 5]
Generated Node #2: [59, 17, 5] from Operation: 10/2=5
Current State: 71:[59, 17, 5], Operations: ['10/2=5']
Exploring Operation: 59+17=76, Resulting Numbers: [5, 76]
Generated Node #3: [5, 76] from Operation: 59+17=76
Current State: 71:[5, 76], Operations: ['10/2=5', '59+17=76']
Exploring Operation: 76-5=71, Resulting Numbers: [71]
71,71 equal: Goal Reached
| 4 |
[
45,
31,
19,
96
] | 37 | [
"31-19=12",
"96/12=8",
"45-8=37"
] | Current State: 37:[45, 31, 19, 96], Operations: []
Exploring Operation: 31-19=12, Resulting Numbers: [45, 96, 12]
Generated Node #2: [45, 96, 12] from Operation: 31-19=12
Current State: 37:[45, 96, 12], Operations: ['31-19=12']
Exploring Operation: 96/12=8, Resulting Numbers: [45, 8]
Generated Node #3: [45, 8] from Operation: 96/12=8
Current State: 37:[45, 8], Operations: ['31-19=12', '96/12=8']
Exploring Operation: 45-8=37, Resulting Numbers: [37]
37,37 equal: Goal Reached
| 4 |
[
39,
46,
44,
26
] | 77 | [
"46-39=7",
"44+26=70",
"7+70=77"
] | Current State: 77:[39, 46, 44, 26], Operations: []
Exploring Operation: 46-39=7, Resulting Numbers: [44, 26, 7]
Generated Node #2: [44, 26, 7] from Operation: 46-39=7
Current State: 77:[44, 26, 7], Operations: ['46-39=7']
Exploring Operation: 44+26=70, Resulting Numbers: [7, 70]
Generated Node #3: [7, 70] from Operation: 44+26=70
Current State: 77:[7, 70], Operations: ['46-39=7', '44+26=70']
Exploring Operation: 7+70=77, Resulting Numbers: [77]
77,77 equal: Goal Reached
| 4 |
[
14,
16,
28,
85
] | 55 | [
"16-14=2",
"85-28=57",
"57-2=55"
] | Current State: 55:[14, 16, 28, 85], Operations: []
Exploring Operation: 16-14=2, Resulting Numbers: [28, 85, 2]
Generated Node #2: [28, 85, 2] from Operation: 16-14=2
Current State: 55:[28, 85, 2], Operations: ['16-14=2']
Exploring Operation: 85-28=57, Resulting Numbers: [2, 57]
Generated Node #3: [2, 57] from Operation: 85-28=57
Current State: 55:[2, 57], Operations: ['16-14=2', '85-28=57']
Exploring Operation: 57-2=55, Resulting Numbers: [55]
55,55 equal: Goal Reached
| 4 |
[
45,
31,
57,
17
] | 36 | [
"45+31=76",
"57-17=40",
"76-40=36"
] | Current State: 36:[45, 31, 57, 17], Operations: []
Exploring Operation: 45+31=76, Resulting Numbers: [57, 17, 76]
Generated Node #2: [57, 17, 76] from Operation: 45+31=76
Current State: 36:[57, 17, 76], Operations: ['45+31=76']
Exploring Operation: 57-17=40, Resulting Numbers: [76, 40]
Generated Node #3: [76, 40] from Operation: 57-17=40
Current State: 36:[76, 40], Operations: ['45+31=76', '57-17=40']
Exploring Operation: 76-40=36, Resulting Numbers: [36]
36,36 equal: Goal Reached
| 4 |
[
86,
38,
40,
78
] | 16 | [
"86-78=8",
"40-38=2",
"8*2=16"
] | Current State: 16:[86, 38, 40, 78], Operations: []
Exploring Operation: 86-78=8, Resulting Numbers: [38, 40, 8]
Generated Node #2: [38, 40, 8] from Operation: 86-78=8
Current State: 16:[38, 40, 8], Operations: ['86-78=8']
Exploring Operation: 40-38=2, Resulting Numbers: [8, 2]
Generated Node #3: [8, 2] from Operation: 40-38=2
Current State: 16:[8, 2], Operations: ['86-78=8', '40-38=2']
Exploring Operation: 8*2=16, Resulting Numbers: [16]
16,16 equal: Goal Reached
| 4 |
[
9,
95,
76,
8
] | 19 | [
"9-8=1",
"95-76=19",
"1*19=19"
] | Current State: 19:[9, 95, 76, 8], Operations: []
Exploring Operation: 9-8=1, Resulting Numbers: [95, 76, 1]
Generated Node #2: [95, 76, 1] from Operation: 9-8=1
Current State: 19:[95, 76, 1], Operations: ['9-8=1']
Exploring Operation: 95-76=19, Resulting Numbers: [1, 19]
Generated Node #3: [1, 19] from Operation: 95-76=19
Current State: 19:[1, 19], Operations: ['9-8=1', '95-76=19']
Exploring Operation: 1*19=19, Resulting Numbers: [19]
19,19 equal: Goal Reached
| 4 |
[
65,
79,
45,
85
] | 77 | [
"45+85=130",
"130/65=2",
"79-2=77"
] | Current State: 77:[65, 79, 45, 85], Operations: []
Exploring Operation: 45+85=130, Resulting Numbers: [65, 79, 130]
Generated Node #2: [65, 79, 130] from Operation: 45+85=130
Current State: 77:[65, 79, 130], Operations: ['45+85=130']
Exploring Operation: 130/65=2, Resulting Numbers: [79, 2]
Generated Node #3: [79, 2] from Operation: 130/65=2
Current State: 77:[79, 2], Operations: ['45+85=130', '130/65=2']
Exploring Operation: 79-2=77, Resulting Numbers: [77]
77,77 equal: Goal Reached
| 4 |
[
10,
5,
74,
53
] | 55 | [
"74-10=64",
"64-53=11",
"5*11=55"
] | Current State: 55:[10, 5, 74, 53], Operations: []
Exploring Operation: 74-10=64, Resulting Numbers: [5, 53, 64]
Generated Node #2: [5, 53, 64] from Operation: 74-10=64
Current State: 55:[5, 53, 64], Operations: ['74-10=64']
Exploring Operation: 64-53=11, Resulting Numbers: [5, 11]
Generated Node #3: [5, 11] from Operation: 64-53=11
Current State: 55:[5, 11], Operations: ['74-10=64', '64-53=11']
Exploring Operation: 5*11=55, Resulting Numbers: [55]
55,55 equal: Goal Reached
| 4 |
[
73,
25,
25,
44
] | 73 | [
"25-25=0",
"44*0=0",
"73+0=73"
] | Current State: 73:[73, 25, 25, 44], Operations: []
Exploring Operation: 25-25=0, Resulting Numbers: [73, 44, 0]
Generated Node #2: [73, 44, 0] from Operation: 25-25=0
Current State: 73:[73, 44, 0], Operations: ['25-25=0']
Exploring Operation: 44*0=0, Resulting Numbers: [73, 0]
Generated Node #3: [73, 0] from Operation: 44*0=0
Current State: 73:[73, 0], Operations: ['25-25=0', '44*0=0']
Exploring Operation: 73+0=73, Resulting Numbers: [73]
73,73 equal: Goal Reached
| 4 |
[
34,
11,
15,
82
] | 54 | [
"15-11=4",
"34*4=136",
"136-82=54"
] | Current State: 54:[34, 11, 15, 82], Operations: []
Exploring Operation: 15-11=4, Resulting Numbers: [34, 82, 4]
Generated Node #2: [34, 82, 4] from Operation: 15-11=4
Current State: 54:[34, 82, 4], Operations: ['15-11=4']
Exploring Operation: 34*4=136, Resulting Numbers: [82, 136]
Generated Node #3: [82, 136] from Operation: 34*4=136
Current State: 54:[82, 136], Operations: ['15-11=4', '34*4=136']
Exploring Operation: 136-82=54, Resulting Numbers: [54]
54,54 equal: Goal Reached
| 4 |
[
77,
59,
53,
42
] | 84 | [
"59-53=6",
"42/6=7",
"77+7=84"
] | Current State: 84:[77, 59, 53, 42], Operations: []
Exploring Operation: 59-53=6, Resulting Numbers: [77, 42, 6]
Generated Node #2: [77, 42, 6] from Operation: 59-53=6
Current State: 84:[77, 42, 6], Operations: ['59-53=6']
Exploring Operation: 42/6=7, Resulting Numbers: [77, 7]
Generated Node #3: [77, 7] from Operation: 42/6=7
Current State: 84:[77, 7], Operations: ['59-53=6', '42/6=7']
Exploring Operation: 77+7=84, Resulting Numbers: [84]
84,84 equal: Goal Reached
| 4 |
[
82,
38,
74,
70
] | 39 | [
"38*74=2812",
"2812-82=2730",
"2730/70=39"
] | Current State: 39:[82, 38, 74, 70], Operations: []
Exploring Operation: 38*74=2812, Resulting Numbers: [82, 70, 2812]
Generated Node #2: [82, 70, 2812] from Operation: 38*74=2812
Current State: 39:[82, 70, 2812], Operations: ['38*74=2812']
Exploring Operation: 2812-82=2730, Resulting Numbers: [70, 2730]
Generated Node #3: [70, 2730] from Operation: 2812-82=2730
Current State: 39:[70, 2730], Operations: ['38*74=2812', '2812-82=2730']
Exploring Operation: 2730/70=39, Resulting Numbers: [39]
39,39 equal: Goal Reached
| 4 |
[
2,
28,
20,
82
] | 89 | [
"82/2=41",
"28+20=48",
"41+48=89"
] | Current State: 89:[2, 28, 20, 82], Operations: []
Exploring Operation: 82/2=41, Resulting Numbers: [28, 20, 41]
Generated Node #2: [28, 20, 41] from Operation: 82/2=41
Current State: 89:[28, 20, 41], Operations: ['82/2=41']
Exploring Operation: 28+20=48, Resulting Numbers: [41, 48]
Generated Node #3: [41, 48] from Operation: 28+20=48
Current State: 89:[41, 48], Operations: ['82/2=41', '28+20=48']
Exploring Operation: 41+48=89, Resulting Numbers: [89]
89,89 equal: Goal Reached
| 4 |
[
50,
34,
63,
73
] | 29 | [
"73-63=10",
"50/10=5",
"34-5=29"
] | Current State: 29:[50, 34, 63, 73], Operations: []
Exploring Operation: 73-63=10, Resulting Numbers: [50, 34, 10]
Generated Node #2: [50, 34, 10] from Operation: 73-63=10
Current State: 29:[50, 34, 10], Operations: ['73-63=10']
Exploring Operation: 50/10=5, Resulting Numbers: [34, 5]
Generated Node #3: [34, 5] from Operation: 50/10=5
Current State: 29:[34, 5], Operations: ['73-63=10', '50/10=5']
Exploring Operation: 34-5=29, Resulting Numbers: [29]
29,29 equal: Goal Reached
| 4 |
[
95,
33,
99,
99
] | 61 | [
"95-33=62",
"99/99=1",
"62-1=61"
] | Current State: 61:[95, 33, 99, 99], Operations: []
Exploring Operation: 95-33=62, Resulting Numbers: [99, 99, 62]
Generated Node #2: [99, 99, 62] from Operation: 95-33=62
Current State: 61:[99, 99, 62], Operations: ['95-33=62']
Exploring Operation: 99/99=1, Resulting Numbers: [62, 1]
Generated Node #3: [62, 1] from Operation: 99/99=1
Current State: 61:[62, 1], Operations: ['95-33=62', '99/99=1']
Exploring Operation: 62-1=61, Resulting Numbers: [61]
61,61 equal: Goal Reached
| 4 |
[
93,
86,
77,
56
] | 67 | [
"93-86=7",
"77/7=11",
"56+11=67"
] | Current State: 67:[93, 86, 77, 56], Operations: []
Exploring Operation: 93-86=7, Resulting Numbers: [77, 56, 7]
Generated Node #2: [77, 56, 7] from Operation: 93-86=7
Current State: 67:[77, 56, 7], Operations: ['93-86=7']
Exploring Operation: 77/7=11, Resulting Numbers: [56, 11]
Generated Node #3: [56, 11] from Operation: 77/7=11
Current State: 67:[56, 11], Operations: ['93-86=7', '77/7=11']
Exploring Operation: 56+11=67, Resulting Numbers: [67]
67,67 equal: Goal Reached
| 4 |
[
13,
16,
38,
28
] | 37 | [
"13+16=29",
"38+28=66",
"66-29=37"
] | Current State: 37:[13, 16, 38, 28], Operations: []
Exploring Operation: 13+16=29, Resulting Numbers: [38, 28, 29]
Generated Node #2: [38, 28, 29] from Operation: 13+16=29
Current State: 37:[38, 28, 29], Operations: ['13+16=29']
Exploring Operation: 38+28=66, Resulting Numbers: [29, 66]
Generated Node #3: [29, 66] from Operation: 38+28=66
Current State: 37:[29, 66], Operations: ['13+16=29', '38+28=66']
Exploring Operation: 66-29=37, Resulting Numbers: [37]
37,37 equal: Goal Reached
| 4 |
[
7,
51,
18,
63
] | 49 | [
"7*18=126",
"126/63=2",
"51-2=49"
] | Current State: 49:[7, 51, 18, 63], Operations: []
Exploring Operation: 7*18=126, Resulting Numbers: [51, 63, 126]
Generated Node #2: [51, 63, 126] from Operation: 7*18=126
Current State: 49:[51, 63, 126], Operations: ['7*18=126']
Exploring Operation: 126/63=2, Resulting Numbers: [51, 2]
Generated Node #3: [51, 2] from Operation: 126/63=2
Current State: 49:[51, 2], Operations: ['7*18=126', '126/63=2']
Exploring Operation: 51-2=49, Resulting Numbers: [49]
49,49 equal: Goal Reached
| 4 |
[
45,
83,
16,
31
] | 67 | [
"45*31=1395",
"83*16=1328",
"1395-1328=67"
] | Current State: 67:[45, 83, 16, 31], Operations: []
Exploring Operation: 45*31=1395, Resulting Numbers: [83, 16, 1395]
Generated Node #2: [83, 16, 1395] from Operation: 45*31=1395
Current State: 67:[83, 16, 1395], Operations: ['45*31=1395']
Exploring Operation: 83*16=1328, Resulting Numbers: [1395, 1328]
Generated Node #3: [1395, 1328] from Operation: 83*16=1328
Current State: 67:[1395, 1328], Operations: ['45*31=1395', '83*16=1328']
Exploring Operation: 1395-1328=67, Resulting Numbers: [67]
67,67 equal: Goal Reached
| 4 |
[
88,
71,
6,
60
] | 83 | [
"88-71=17",
"6+60=66",
"17+66=83"
] | Current State: 83:[88, 71, 6, 60], Operations: []
Exploring Operation: 88-71=17, Resulting Numbers: [6, 60, 17]
Generated Node #2: [6, 60, 17] from Operation: 88-71=17
Current State: 83:[6, 60, 17], Operations: ['88-71=17']
Exploring Operation: 6+60=66, Resulting Numbers: [17, 66]
Generated Node #3: [17, 66] from Operation: 6+60=66
Current State: 83:[17, 66], Operations: ['88-71=17', '6+60=66']
Exploring Operation: 17+66=83, Resulting Numbers: [83]
83,83 equal: Goal Reached
| 4 |
[
51,
27,
23,
6
] | 27 | [
"51-27=24",
"24/6=4",
"23+4=27"
] | Current State: 27:[51, 27, 23, 6], Operations: []
Exploring Operation: 51-27=24, Resulting Numbers: [23, 6, 24]
Generated Node #2: [23, 6, 24] from Operation: 51-27=24
Current State: 27:[23, 6, 24], Operations: ['51-27=24']
Exploring Operation: 24/6=4, Resulting Numbers: [23, 4]
Generated Node #3: [23, 4] from Operation: 24/6=4
Current State: 27:[23, 4], Operations: ['51-27=24', '24/6=4']
Exploring Operation: 23+4=27, Resulting Numbers: [27]
27,27 equal: Goal Reached
| 4 |
[
90,
77,
88,
54
] | 31 | [
"90-88=2",
"54*2=108",
"108-77=31"
] | Current State: 31:[90, 77, 88, 54], Operations: []
Exploring Operation: 90-88=2, Resulting Numbers: [77, 54, 2]
Generated Node #2: [77, 54, 2] from Operation: 90-88=2
Current State: 31:[77, 54, 2], Operations: ['90-88=2']
Exploring Operation: 54*2=108, Resulting Numbers: [77, 108]
Generated Node #3: [77, 108] from Operation: 54*2=108
Current State: 31:[77, 108], Operations: ['90-88=2', '54*2=108']
Exploring Operation: 108-77=31, Resulting Numbers: [31]
31,31 equal: Goal Reached
| 4 |
[
44,
72,
69,
66
] | 68 | [
"69-66=3",
"72/3=24",
"44+24=68"
] | Current State: 68:[44, 72, 69, 66], Operations: []
Exploring Operation: 69-66=3, Resulting Numbers: [44, 72, 3]
Generated Node #2: [44, 72, 3] from Operation: 69-66=3
Current State: 68:[44, 72, 3], Operations: ['69-66=3']
Exploring Operation: 72/3=24, Resulting Numbers: [44, 24]
Generated Node #3: [44, 24] from Operation: 72/3=24
Current State: 68:[44, 24], Operations: ['69-66=3', '72/3=24']
Exploring Operation: 44+24=68, Resulting Numbers: [68]
68,68 equal: Goal Reached
| 4 |
[
8,
17,
93,
2
] | 11 | [
"8+2=10",
"17+93=110",
"110/10=11"
] | Current State: 11:[8, 17, 93, 2], Operations: []
Exploring Operation: 8+2=10, Resulting Numbers: [17, 93, 10]
Generated Node #2: [17, 93, 10] from Operation: 8+2=10
Current State: 11:[17, 93, 10], Operations: ['8+2=10']
Exploring Operation: 17+93=110, Resulting Numbers: [10, 110]
Generated Node #3: [10, 110] from Operation: 17+93=110
Current State: 11:[10, 110], Operations: ['8+2=10', '17+93=110']
Exploring Operation: 110/10=11, Resulting Numbers: [11]
11,11 equal: Goal Reached
| 4 |
[
25,
50,
51,
47
] | 43 | [
"50/25=2",
"47*2=94",
"94-51=43"
] | Current State: 43:[25, 50, 51, 47], Operations: []
Exploring Operation: 50/25=2, Resulting Numbers: [51, 47, 2]
Generated Node #2: [51, 47, 2] from Operation: 50/25=2
Current State: 43:[51, 47, 2], Operations: ['50/25=2']
Exploring Operation: 47*2=94, Resulting Numbers: [51, 94]
Generated Node #3: [51, 94] from Operation: 47*2=94
Current State: 43:[51, 94], Operations: ['50/25=2', '47*2=94']
Exploring Operation: 94-51=43, Resulting Numbers: [43]
43,43 equal: Goal Reached
| 4 |
[
15,
71,
89,
59
] | 26 | [
"71-15=56",
"89-59=30",
"56-30=26"
] | Current State: 26:[15, 71, 89, 59], Operations: []
Exploring Operation: 71-15=56, Resulting Numbers: [89, 59, 56]
Generated Node #2: [89, 59, 56] from Operation: 71-15=56
Current State: 26:[89, 59, 56], Operations: ['71-15=56']
Exploring Operation: 89-59=30, Resulting Numbers: [56, 30]
Generated Node #3: [56, 30] from Operation: 89-59=30
Current State: 26:[56, 30], Operations: ['71-15=56', '89-59=30']
Exploring Operation: 56-30=26, Resulting Numbers: [26]
26,26 equal: Goal Reached
| 4 |
[
5,
17,
22,
10
] | 78 | [
"10/5=2",
"17+22=39",
"2*39=78"
] | Current State: 78:[5, 17, 22, 10], Operations: []
Exploring Operation: 10/5=2, Resulting Numbers: [17, 22, 2]
Generated Node #2: [17, 22, 2] from Operation: 10/5=2
Current State: 78:[17, 22, 2], Operations: ['10/5=2']
Exploring Operation: 17+22=39, Resulting Numbers: [2, 39]
Generated Node #3: [2, 39] from Operation: 17+22=39
Current State: 78:[2, 39], Operations: ['10/5=2', '17+22=39']
Exploring Operation: 2*39=78, Resulting Numbers: [78]
78,78 equal: Goal Reached
| 4 |
[
94,
10,
50,
60
] | 39 | [
"94-60=34",
"50/10=5",
"34+5=39"
] | Current State: 39:[94, 10, 50, 60], Operations: []
Exploring Operation: 94-60=34, Resulting Numbers: [10, 50, 34]
Generated Node #2: [10, 50, 34] from Operation: 94-60=34
Current State: 39:[10, 50, 34], Operations: ['94-60=34']
Exploring Operation: 50/10=5, Resulting Numbers: [34, 5]
Generated Node #3: [34, 5] from Operation: 50/10=5
Current State: 39:[34, 5], Operations: ['94-60=34', '50/10=5']
Exploring Operation: 34+5=39, Resulting Numbers: [39]
39,39 equal: Goal Reached
| 4 |
[
19,
99,
16,
87
] | 36 | [
"19-16=3",
"99-87=12",
"3*12=36"
] | Current State: 36:[19, 99, 16, 87], Operations: []
Exploring Operation: 19-16=3, Resulting Numbers: [99, 87, 3]
Generated Node #2: [99, 87, 3] from Operation: 19-16=3
Current State: 36:[99, 87, 3], Operations: ['19-16=3']
Exploring Operation: 99-87=12, Resulting Numbers: [3, 12]
Generated Node #3: [3, 12] from Operation: 99-87=12
Current State: 36:[3, 12], Operations: ['19-16=3', '99-87=12']
Exploring Operation: 3*12=36, Resulting Numbers: [36]
36,36 equal: Goal Reached
| 4 |
[
73,
75,
62,
74
] | 68 | [
"75-73=2",
"62+74=136",
"136/2=68"
] | Current State: 68:[73, 75, 62, 74], Operations: []
Exploring Operation: 75-73=2, Resulting Numbers: [62, 74, 2]
Generated Node #2: [62, 74, 2] from Operation: 75-73=2
Current State: 68:[62, 74, 2], Operations: ['75-73=2']
Exploring Operation: 62+74=136, Resulting Numbers: [2, 136]
Generated Node #3: [2, 136] from Operation: 62+74=136
Current State: 68:[2, 136], Operations: ['75-73=2', '62+74=136']
Exploring Operation: 136/2=68, Resulting Numbers: [68]
68,68 equal: Goal Reached
| 4 |
[
35,
1,
72,
28
] | 65 | [
"35*1=35",
"72+28=100",
"100-35=65"
] | Current State: 65:[35, 1, 72, 28], Operations: []
Exploring Operation: 35*1=35, Resulting Numbers: [72, 28, 35]
Generated Node #2: [72, 28, 35] from Operation: 35*1=35
Current State: 65:[72, 28, 35], Operations: ['35*1=35']
Exploring Operation: 72+28=100, Resulting Numbers: [35, 100]
Generated Node #3: [35, 100] from Operation: 72+28=100
Current State: 65:[35, 100], Operations: ['35*1=35', '72+28=100']
Exploring Operation: 100-35=65, Resulting Numbers: [65]
65,65 equal: Goal Reached
| 4 |
[
78,
24,
38,
44
] | 37 | [
"44-38=6",
"78/6=13",
"24+13=37"
] | Current State: 37:[78, 24, 38, 44], Operations: []
Exploring Operation: 44-38=6, Resulting Numbers: [78, 24, 6]
Generated Node #2: [78, 24, 6] from Operation: 44-38=6
Current State: 37:[78, 24, 6], Operations: ['44-38=6']
Exploring Operation: 78/6=13, Resulting Numbers: [24, 13]
Generated Node #3: [24, 13] from Operation: 78/6=13
Current State: 37:[24, 13], Operations: ['44-38=6', '78/6=13']
Exploring Operation: 24+13=37, Resulting Numbers: [37]
37,37 equal: Goal Reached
| 4 |
[
11,
86,
35,
82
] | 93 | [
"86+35=121",
"121/11=11",
"82+11=93"
] | Current State: 93:[11, 86, 35, 82], Operations: []
Exploring Operation: 86+35=121, Resulting Numbers: [11, 82, 121]
Generated Node #2: [11, 82, 121] from Operation: 86+35=121
Current State: 93:[11, 82, 121], Operations: ['86+35=121']
Exploring Operation: 121/11=11, Resulting Numbers: [82, 11]
Generated Node #3: [82, 11] from Operation: 121/11=11
Current State: 93:[82, 11], Operations: ['86+35=121', '121/11=11']
Exploring Operation: 82+11=93, Resulting Numbers: [93]
93,93 equal: Goal Reached
| 4 |
[
82,
72,
6,
48
] | 80 | [
"82-72=10",
"48/6=8",
"10*8=80"
] | Current State: 80:[82, 72, 6, 48], Operations: []
Exploring Operation: 82-72=10, Resulting Numbers: [6, 48, 10]
Generated Node #2: [6, 48, 10] from Operation: 82-72=10
Current State: 80:[6, 48, 10], Operations: ['82-72=10']
Exploring Operation: 48/6=8, Resulting Numbers: [10, 8]
Generated Node #3: [10, 8] from Operation: 48/6=8
Current State: 80:[10, 8], Operations: ['82-72=10', '48/6=8']
Exploring Operation: 10*8=80, Resulting Numbers: [80]
80,80 equal: Goal Reached
| 4 |
[
29,
37,
74,
3
] | 63 | [
"37-29=8",
"74-3=71",
"71-8=63"
] | Current State: 63:[29, 37, 74, 3], Operations: []
Exploring Operation: 37-29=8, Resulting Numbers: [74, 3, 8]
Generated Node #2: [74, 3, 8] from Operation: 37-29=8
Current State: 63:[74, 3, 8], Operations: ['37-29=8']
Exploring Operation: 74-3=71, Resulting Numbers: [8, 71]
Generated Node #3: [8, 71] from Operation: 74-3=71
Current State: 63:[8, 71], Operations: ['37-29=8', '74-3=71']
Exploring Operation: 71-8=63, Resulting Numbers: [63]
63,63 equal: Goal Reached
| 4 |
[
85,
79,
4,
58
] | 16 | [
"85-79=6",
"58+6=64",
"64/4=16"
] | Current State: 16:[85, 79, 4, 58], Operations: []
Exploring Operation: 85-79=6, Resulting Numbers: [4, 58, 6]
Generated Node #2: [4, 58, 6] from Operation: 85-79=6
Current State: 16:[4, 58, 6], Operations: ['85-79=6']
Exploring Operation: 58+6=64, Resulting Numbers: [4, 64]
Generated Node #3: [4, 64] from Operation: 58+6=64
Current State: 16:[4, 64], Operations: ['85-79=6', '58+6=64']
Exploring Operation: 64/4=16, Resulting Numbers: [16]
16,16 equal: Goal Reached
| 4 |
[
39,
56,
67,
43
] | 91 | [
"39*56=2184",
"67-43=24",
"2184/24=91"
] | Current State: 91:[39, 56, 67, 43], Operations: []
Exploring Operation: 39*56=2184, Resulting Numbers: [67, 43, 2184]
Generated Node #2: [67, 43, 2184] from Operation: 39*56=2184
Current State: 91:[67, 43, 2184], Operations: ['39*56=2184']
Exploring Operation: 67-43=24, Resulting Numbers: [2184, 24]
Generated Node #3: [2184, 24] from Operation: 67-43=24
Current State: 91:[2184, 24], Operations: ['39*56=2184', '67-43=24']
Exploring Operation: 2184/24=91, Resulting Numbers: [91]
91,91 equal: Goal Reached
| 4 |
[
84,
94,
76,
98
] | 21 | [
"94-76=18",
"98*18=1764",
"1764/84=21"
] | Current State: 21:[84, 94, 76, 98], Operations: []
Exploring Operation: 94-76=18, Resulting Numbers: [84, 98, 18]
Generated Node #2: [84, 98, 18] from Operation: 94-76=18
Current State: 21:[84, 98, 18], Operations: ['94-76=18']
Exploring Operation: 98*18=1764, Resulting Numbers: [84, 1764]
Generated Node #3: [84, 1764] from Operation: 98*18=1764
Current State: 21:[84, 1764], Operations: ['94-76=18', '98*18=1764']
Exploring Operation: 1764/84=21, Resulting Numbers: [21]
21,21 equal: Goal Reached
| 4 |
[
84,
18,
60,
52
] | 39 | [
"84-60=24",
"18*52=936",
"936/24=39"
] | Current State: 39:[84, 18, 60, 52], Operations: []
Exploring Operation: 84-60=24, Resulting Numbers: [18, 52, 24]
Generated Node #2: [18, 52, 24] from Operation: 84-60=24
Current State: 39:[18, 52, 24], Operations: ['84-60=24']
Exploring Operation: 18*52=936, Resulting Numbers: [24, 936]
Generated Node #3: [24, 936] from Operation: 18*52=936
Current State: 39:[24, 936], Operations: ['84-60=24', '18*52=936']
Exploring Operation: 936/24=39, Resulting Numbers: [39]
39,39 equal: Goal Reached
| 4 |
[
18,
87,
48,
85
] | 42 | [
"87-85=2",
"48/2=24",
"18+24=42"
] | Current State: 42:[18, 87, 48, 85], Operations: []
Exploring Operation: 87-85=2, Resulting Numbers: [18, 48, 2]
Generated Node #2: [18, 48, 2] from Operation: 87-85=2
Current State: 42:[18, 48, 2], Operations: ['87-85=2']
Exploring Operation: 48/2=24, Resulting Numbers: [18, 24]
Generated Node #3: [18, 24] from Operation: 48/2=24
Current State: 42:[18, 24], Operations: ['87-85=2', '48/2=24']
Exploring Operation: 18+24=42, Resulting Numbers: [42]
42,42 equal: Goal Reached
| 4 |
[
67,
62,
46,
1
] | 52 | [
"67-62=5",
"46+1=47",
"5+47=52"
] | Current State: 52:[67, 62, 46, 1], Operations: []
Exploring Operation: 67-62=5, Resulting Numbers: [46, 1, 5]
Generated Node #2: [46, 1, 5] from Operation: 67-62=5
Current State: 52:[46, 1, 5], Operations: ['67-62=5']
Exploring Operation: 46+1=47, Resulting Numbers: [5, 47]
Generated Node #3: [5, 47] from Operation: 46+1=47
Current State: 52:[5, 47], Operations: ['67-62=5', '46+1=47']
Exploring Operation: 5+47=52, Resulting Numbers: [52]
52,52 equal: Goal Reached
| 4 |
[
57,
36,
68,
2
] | 43 | [
"57+36=93",
"68*2=136",
"136-93=43"
] | Current State: 43:[57, 36, 68, 2], Operations: []
Exploring Operation: 57+36=93, Resulting Numbers: [68, 2, 93]
Generated Node #2: [68, 2, 93] from Operation: 57+36=93
Current State: 43:[68, 2, 93], Operations: ['57+36=93']
Exploring Operation: 68*2=136, Resulting Numbers: [93, 136]
Generated Node #3: [93, 136] from Operation: 68*2=136
Current State: 43:[93, 136], Operations: ['57+36=93', '68*2=136']
Exploring Operation: 136-93=43, Resulting Numbers: [43]
43,43 equal: Goal Reached
| 4 |
[
17,
73,
85,
91
] | 96 | [
"17+73=90",
"91-85=6",
"90+6=96"
] | Current State: 96:[17, 73, 85, 91], Operations: []
Exploring Operation: 17+73=90, Resulting Numbers: [85, 91, 90]
Generated Node #2: [85, 91, 90] from Operation: 17+73=90
Current State: 96:[85, 91, 90], Operations: ['17+73=90']
Exploring Operation: 91-85=6, Resulting Numbers: [90, 6]
Generated Node #3: [90, 6] from Operation: 91-85=6
Current State: 96:[90, 6], Operations: ['17+73=90', '91-85=6']
Exploring Operation: 90+6=96, Resulting Numbers: [96]
96,96 equal: Goal Reached
| 4 |
[
42,
36,
92,
21
] | 54 | [
"42/21=2",
"92-36=56",
"56-2=54"
] | Current State: 54:[42, 36, 92, 21], Operations: []
Exploring Operation: 42/21=2, Resulting Numbers: [36, 92, 2]
Generated Node #2: [36, 92, 2] from Operation: 42/21=2
Current State: 54:[36, 92, 2], Operations: ['42/21=2']
Exploring Operation: 92-36=56, Resulting Numbers: [2, 56]
Generated Node #3: [2, 56] from Operation: 92-36=56
Current State: 54:[2, 56], Operations: ['42/21=2', '92-36=56']
Exploring Operation: 56-2=54, Resulting Numbers: [54]
54,54 equal: Goal Reached
| 4 |
[
70,
10,
78,
84
] | 75 | [
"70*78=5460",
"5460/84=65",
"10+65=75"
] | Current State: 75:[70, 10, 78, 84], Operations: []
Exploring Operation: 70*78=5460, Resulting Numbers: [10, 84, 5460]
Generated Node #2: [10, 84, 5460] from Operation: 70*78=5460
Current State: 75:[10, 84, 5460], Operations: ['70*78=5460']
Exploring Operation: 5460/84=65, Resulting Numbers: [10, 65]
Generated Node #3: [10, 65] from Operation: 5460/84=65
Current State: 75:[10, 65], Operations: ['70*78=5460', '5460/84=65']
Exploring Operation: 10+65=75, Resulting Numbers: [75]
75,75 equal: Goal Reached
| 4 |
[
10,
49,
40,
96
] | 73 | [
"40/10=4",
"96/4=24",
"49+24=73"
] | Current State: 73:[10, 49, 40, 96], Operations: []
Exploring Operation: 40/10=4, Resulting Numbers: [49, 96, 4]
Generated Node #2: [49, 96, 4] from Operation: 40/10=4
Current State: 73:[49, 96, 4], Operations: ['40/10=4']
Exploring Operation: 96/4=24, Resulting Numbers: [49, 24]
Generated Node #3: [49, 24] from Operation: 96/4=24
Current State: 73:[49, 24], Operations: ['40/10=4', '96/4=24']
Exploring Operation: 49+24=73, Resulting Numbers: [73]
73,73 equal: Goal Reached
| 4 |
[
48,
24,
56,
14
] | 76 | [
"48+24=72",
"56/14=4",
"72+4=76"
] | Current State: 76:[48, 24, 56, 14], Operations: []
Exploring Operation: 48+24=72, Resulting Numbers: [56, 14, 72]
Generated Node #2: [56, 14, 72] from Operation: 48+24=72
Current State: 76:[56, 14, 72], Operations: ['48+24=72']
Exploring Operation: 56/14=4, Resulting Numbers: [72, 4]
Generated Node #3: [72, 4] from Operation: 56/14=4
Current State: 76:[72, 4], Operations: ['48+24=72', '56/14=4']
Exploring Operation: 72+4=76, Resulting Numbers: [76]
76,76 equal: Goal Reached
| 4 |
[
5,
89,
18,
88
] | 91 | [
"5*18=90",
"89-88=1",
"90+1=91"
] | Current State: 91:[5, 89, 18, 88], Operations: []
Exploring Operation: 5*18=90, Resulting Numbers: [89, 88, 90]
Generated Node #2: [89, 88, 90] from Operation: 5*18=90
Current State: 91:[89, 88, 90], Operations: ['5*18=90']
Exploring Operation: 89-88=1, Resulting Numbers: [90, 1]
Generated Node #3: [90, 1] from Operation: 89-88=1
Current State: 91:[90, 1], Operations: ['5*18=90', '89-88=1']
Exploring Operation: 90+1=91, Resulting Numbers: [91]
91,91 equal: Goal Reached
| 4 |
[
58,
9,
78,
96
] | 85 | [
"58+9=67",
"96-78=18",
"67+18=85"
] | Current State: 85:[58, 9, 78, 96], Operations: []
Exploring Operation: 58+9=67, Resulting Numbers: [78, 96, 67]
Generated Node #2: [78, 96, 67] from Operation: 58+9=67
Current State: 85:[78, 96, 67], Operations: ['58+9=67']
Exploring Operation: 96-78=18, Resulting Numbers: [67, 18]
Generated Node #3: [67, 18] from Operation: 96-78=18
Current State: 85:[67, 18], Operations: ['58+9=67', '96-78=18']
Exploring Operation: 67+18=85, Resulting Numbers: [85]
85,85 equal: Goal Reached
| 4 |
[
30,
2,
37,
7
] | 12 | [
"30+2=32",
"37+7=44",
"44-32=12"
] | Current State: 12:[30, 2, 37, 7], Operations: []
Exploring Operation: 30+2=32, Resulting Numbers: [37, 7, 32]
Generated Node #2: [37, 7, 32] from Operation: 30+2=32
Current State: 12:[37, 7, 32], Operations: ['30+2=32']
Exploring Operation: 37+7=44, Resulting Numbers: [32, 44]
Generated Node #3: [32, 44] from Operation: 37+7=44
Current State: 12:[32, 44], Operations: ['30+2=32', '37+7=44']
Exploring Operation: 44-32=12, Resulting Numbers: [12]
12,12 equal: Goal Reached
| 4 |
[
52,
87,
75,
23
] | 72 | [
"52-23=29",
"87/29=3",
"75-3=72"
] | Current State: 72:[52, 87, 75, 23], Operations: []
Exploring Operation: 52-23=29, Resulting Numbers: [87, 75, 29]
Generated Node #2: [87, 75, 29] from Operation: 52-23=29
Current State: 72:[87, 75, 29], Operations: ['52-23=29']
Exploring Operation: 87/29=3, Resulting Numbers: [75, 3]
Generated Node #3: [75, 3] from Operation: 87/29=3
Current State: 72:[75, 3], Operations: ['52-23=29', '87/29=3']
Exploring Operation: 75-3=72, Resulting Numbers: [72]
72,72 equal: Goal Reached
| 4 |
[
99,
90,
60,
81
] | 45 | [
"60*81=4860",
"4860/90=54",
"99-54=45"
] | Current State: 45:[99, 90, 60, 81], Operations: []
Exploring Operation: 60*81=4860, Resulting Numbers: [99, 90, 4860]
Generated Node #2: [99, 90, 4860] from Operation: 60*81=4860
Current State: 45:[99, 90, 4860], Operations: ['60*81=4860']
Exploring Operation: 4860/90=54, Resulting Numbers: [99, 54]
Generated Node #3: [99, 54] from Operation: 4860/90=54
Current State: 45:[99, 54], Operations: ['60*81=4860', '4860/90=54']
Exploring Operation: 99-54=45, Resulting Numbers: [45]
45,45 equal: Goal Reached
| 4 |
[
60,
33,
66,
11
] | 57 | [
"66-33=33",
"33/11=3",
"60-3=57"
] | Current State: 57:[60, 33, 66, 11], Operations: []
Exploring Operation: 66-33=33, Resulting Numbers: [60, 11, 33]
Generated Node #2: [60, 11, 33] from Operation: 66-33=33
Current State: 57:[60, 11, 33], Operations: ['66-33=33']
Exploring Operation: 33/11=3, Resulting Numbers: [60, 3]
Generated Node #3: [60, 3] from Operation: 33/11=3
Current State: 57:[60, 3], Operations: ['66-33=33', '33/11=3']
Exploring Operation: 60-3=57, Resulting Numbers: [57]
57,57 equal: Goal Reached
| 4 |
[
60,
78,
38,
50
] | 75 | [
"60*50=3000",
"78-38=40",
"3000/40=75"
] | Current State: 75:[60, 78, 38, 50], Operations: []
Exploring Operation: 60*50=3000, Resulting Numbers: [78, 38, 3000]
Generated Node #2: [78, 38, 3000] from Operation: 60*50=3000
Current State: 75:[78, 38, 3000], Operations: ['60*50=3000']
Exploring Operation: 78-38=40, Resulting Numbers: [3000, 40]
Generated Node #3: [3000, 40] from Operation: 78-38=40
Current State: 75:[3000, 40], Operations: ['60*50=3000', '78-38=40']
Exploring Operation: 3000/40=75, Resulting Numbers: [75]
75,75 equal: Goal Reached
| 4 |
[
97,
43,
8,
75
] | 73 | [
"97+43=140",
"75-8=67",
"140-67=73"
] | Current State: 73:[97, 43, 8, 75], Operations: []
Exploring Operation: 97+43=140, Resulting Numbers: [8, 75, 140]
Generated Node #2: [8, 75, 140] from Operation: 97+43=140
Current State: 73:[8, 75, 140], Operations: ['97+43=140']
Exploring Operation: 75-8=67, Resulting Numbers: [140, 67]
Generated Node #3: [140, 67] from Operation: 75-8=67
Current State: 73:[140, 67], Operations: ['97+43=140', '75-8=67']
Exploring Operation: 140-67=73, Resulting Numbers: [73]
73,73 equal: Goal Reached
| 4 |
[
43,
54,
57,
73
] | 27 | [
"54-43=11",
"73-57=16",
"11+16=27"
] | Current State: 27:[43, 54, 57, 73], Operations: []
Exploring Operation: 54-43=11, Resulting Numbers: [57, 73, 11]
Generated Node #2: [57, 73, 11] from Operation: 54-43=11
Current State: 27:[57, 73, 11], Operations: ['54-43=11']
Exploring Operation: 73-57=16, Resulting Numbers: [11, 16]
Generated Node #3: [11, 16] from Operation: 73-57=16
Current State: 27:[11, 16], Operations: ['54-43=11', '73-57=16']
Exploring Operation: 11+16=27, Resulting Numbers: [27]
27,27 equal: Goal Reached
| 4 |
[
31,
2,
68,
54
] | 20 | [
"68-31=37",
"2*37=74",
"74-54=20"
] | Current State: 20:[31, 2, 68, 54], Operations: []
Exploring Operation: 68-31=37, Resulting Numbers: [2, 54, 37]
Generated Node #2: [2, 54, 37] from Operation: 68-31=37
Current State: 20:[2, 54, 37], Operations: ['68-31=37']
Exploring Operation: 2*37=74, Resulting Numbers: [54, 74]
Generated Node #3: [54, 74] from Operation: 2*37=74
Current State: 20:[54, 74], Operations: ['68-31=37', '2*37=74']
Exploring Operation: 74-54=20, Resulting Numbers: [20]
20,20 equal: Goal Reached
| 4 |
[
82,
84,
50,
47
] | 95 | [
"84-82=2",
"50+47=97",
"97-2=95"
] | Current State: 95:[82, 84, 50, 47], Operations: []
Exploring Operation: 84-82=2, Resulting Numbers: [50, 47, 2]
Generated Node #2: [50, 47, 2] from Operation: 84-82=2
Current State: 95:[50, 47, 2], Operations: ['84-82=2']
Exploring Operation: 50+47=97, Resulting Numbers: [2, 97]
Generated Node #3: [2, 97] from Operation: 50+47=97
Current State: 95:[2, 97], Operations: ['84-82=2', '50+47=97']
Exploring Operation: 97-2=95, Resulting Numbers: [95]
95,95 equal: Goal Reached
| 4 |
[
72,
38,
44,
22
] | 17 | [
"72-38=34",
"44/22=2",
"34/2=17"
] | Current State: 17:[72, 38, 44, 22], Operations: []
Exploring Operation: 72-38=34, Resulting Numbers: [44, 22, 34]
Generated Node #2: [44, 22, 34] from Operation: 72-38=34
Current State: 17:[44, 22, 34], Operations: ['72-38=34']
Exploring Operation: 44/22=2, Resulting Numbers: [34, 2]
Generated Node #3: [34, 2] from Operation: 44/22=2
Current State: 17:[34, 2], Operations: ['72-38=34', '44/22=2']
Exploring Operation: 34/2=17, Resulting Numbers: [17]
17,17 equal: Goal Reached
| 4 |
[
30,
48,
21,
13
] | 27 | [
"30+48=78",
"78/13=6",
"21+6=27"
] | Current State: 27:[30, 48, 21, 13], Operations: []
Exploring Operation: 30+48=78, Resulting Numbers: [21, 13, 78]
Generated Node #2: [21, 13, 78] from Operation: 30+48=78
Current State: 27:[21, 13, 78], Operations: ['30+48=78']
Exploring Operation: 78/13=6, Resulting Numbers: [21, 6]
Generated Node #3: [21, 6] from Operation: 78/13=6
Current State: 27:[21, 6], Operations: ['30+48=78', '78/13=6']
Exploring Operation: 21+6=27, Resulting Numbers: [27]
27,27 equal: Goal Reached
| 4 |
[
85,
87,
56,
71
] | 99 | [
"87-85=2",
"56/2=28",
"71+28=99"
] | Current State: 99:[85, 87, 56, 71], Operations: []
Exploring Operation: 87-85=2, Resulting Numbers: [56, 71, 2]
Generated Node #2: [56, 71, 2] from Operation: 87-85=2
Current State: 99:[56, 71, 2], Operations: ['87-85=2']
Exploring Operation: 56/2=28, Resulting Numbers: [71, 28]
Generated Node #3: [71, 28] from Operation: 56/2=28
Current State: 99:[71, 28], Operations: ['87-85=2', '56/2=28']
Exploring Operation: 71+28=99, Resulting Numbers: [99]
99,99 equal: Goal Reached
| 4 |
[
58,
61,
12,
22
] | 37 | [
"61-58=3",
"12+22=34",
"3+34=37"
] | Current State: 37:[58, 61, 12, 22], Operations: []
Exploring Operation: 61-58=3, Resulting Numbers: [12, 22, 3]
Generated Node #2: [12, 22, 3] from Operation: 61-58=3
Current State: 37:[12, 22, 3], Operations: ['61-58=3']
Exploring Operation: 12+22=34, Resulting Numbers: [3, 34]
Generated Node #3: [3, 34] from Operation: 12+22=34
Current State: 37:[3, 34], Operations: ['61-58=3', '12+22=34']
Exploring Operation: 3+34=37, Resulting Numbers: [37]
37,37 equal: Goal Reached
| 4 |
[
2,
96,
4,
63
] | 74 | [
"96+4=100",
"100-63=37",
"2*37=74"
] | Current State: 74:[2, 96, 4, 63], Operations: []
Exploring Operation: 96+4=100, Resulting Numbers: [2, 63, 100]
Generated Node #2: [2, 63, 100] from Operation: 96+4=100
Current State: 74:[2, 63, 100], Operations: ['96+4=100']
Exploring Operation: 100-63=37, Resulting Numbers: [2, 37]
Generated Node #3: [2, 37] from Operation: 100-63=37
Current State: 74:[2, 37], Operations: ['96+4=100', '100-63=37']
Exploring Operation: 2*37=74, Resulting Numbers: [74]
74,74 equal: Goal Reached
| 4 |
[
37,
88,
54,
10
] | 35 | [
"54-10=44",
"88/44=2",
"37-2=35"
] | Current State: 35:[37, 88, 54, 10], Operations: []
Exploring Operation: 54-10=44, Resulting Numbers: [37, 88, 44]
Generated Node #2: [37, 88, 44] from Operation: 54-10=44
Current State: 35:[37, 88, 44], Operations: ['54-10=44']
Exploring Operation: 88/44=2, Resulting Numbers: [37, 2]
Generated Node #3: [37, 2] from Operation: 88/44=2
Current State: 35:[37, 2], Operations: ['54-10=44', '88/44=2']
Exploring Operation: 37-2=35, Resulting Numbers: [35]
35,35 equal: Goal Reached
| 4 |
[
25,
35,
74,
30
] | 44 | [
"25+35=60",
"74+30=104",
"104-60=44"
] | Current State: 44:[25, 35, 74, 30], Operations: []
Exploring Operation: 25+35=60, Resulting Numbers: [74, 30, 60]
Generated Node #2: [74, 30, 60] from Operation: 25+35=60
Current State: 44:[74, 30, 60], Operations: ['25+35=60']
Exploring Operation: 74+30=104, Resulting Numbers: [60, 104]
Generated Node #3: [60, 104] from Operation: 74+30=104
Current State: 44:[60, 104], Operations: ['25+35=60', '74+30=104']
Exploring Operation: 104-60=44, Resulting Numbers: [44]
44,44 equal: Goal Reached
| 4 |
[
64,
4,
2,
54
] | 50 | [
"2+54=56",
"56/4=14",
"64-14=50"
] | Current State: 50:[64, 4, 2, 54], Operations: []
Exploring Operation: 2+54=56, Resulting Numbers: [64, 4, 56]
Generated Node #2: [64, 4, 56] from Operation: 2+54=56
Current State: 50:[64, 4, 56], Operations: ['2+54=56']
Exploring Operation: 56/4=14, Resulting Numbers: [64, 14]
Generated Node #3: [64, 14] from Operation: 56/4=14
Current State: 50:[64, 14], Operations: ['2+54=56', '56/4=14']
Exploring Operation: 64-14=50, Resulting Numbers: [50]
50,50 equal: Goal Reached
| 4 |
[
62,
26,
60,
94
] | 10 | [
"62+26=88",
"94-88=6",
"60/6=10"
] | Current State: 10:[62, 26, 60, 94], Operations: []
Exploring Operation: 62+26=88, Resulting Numbers: [60, 94, 88]
Generated Node #2: [60, 94, 88] from Operation: 62+26=88
Current State: 10:[60, 94, 88], Operations: ['62+26=88']
Exploring Operation: 94-88=6, Resulting Numbers: [60, 6]
Generated Node #3: [60, 6] from Operation: 94-88=6
Current State: 10:[60, 6], Operations: ['62+26=88', '94-88=6']
Exploring Operation: 60/6=10, Resulting Numbers: [10]
10,10 equal: Goal Reached
| 4 |
[
91,
10,
99,
89
] | 81 | [
"91+89=180",
"180/10=18",
"99-18=81"
] | Current State: 81:[91, 10, 99, 89], Operations: []
Exploring Operation: 91+89=180, Resulting Numbers: [10, 99, 180]
Generated Node #2: [10, 99, 180] from Operation: 91+89=180
Current State: 81:[10, 99, 180], Operations: ['91+89=180']
Exploring Operation: 180/10=18, Resulting Numbers: [99, 18]
Generated Node #3: [99, 18] from Operation: 180/10=18
Current State: 81:[99, 18], Operations: ['91+89=180', '180/10=18']
Exploring Operation: 99-18=81, Resulting Numbers: [81]
81,81 equal: Goal Reached
| 4 |
[
95,
93,
3,
56
] | 62 | [
"95-93=2",
"3*2=6",
"56+6=62"
] | Current State: 62:[95, 93, 3, 56], Operations: []
Exploring Operation: 95-93=2, Resulting Numbers: [3, 56, 2]
Generated Node #2: [3, 56, 2] from Operation: 95-93=2
Current State: 62:[3, 56, 2], Operations: ['95-93=2']
Exploring Operation: 3*2=6, Resulting Numbers: [56, 6]
Generated Node #3: [56, 6] from Operation: 3*2=6
Current State: 62:[56, 6], Operations: ['95-93=2', '3*2=6']
Exploring Operation: 56+6=62, Resulting Numbers: [62]
62,62 equal: Goal Reached
| 4 |
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