nums listlengths 4 4 | target int64 10 100 | solution listlengths 3 3 | optimal_path stringlengths 282 529 | start_size int64 4 4 |
|---|---|---|---|---|
[
21,
87,
9,
58
] | 59 | [
"21+87=108",
"58-9=49",
"108-49=59"
] | Current State: 59:[21, 87, 9, 58], Operations: []
Exploring Operation: 21+87=108, Resulting Numbers: [9, 58, 108]
Generated Node #2: [9, 58, 108] from Operation: 21+87=108
Current State: 59:[9, 58, 108], Operations: ['21+87=108']
Exploring Operation: 58-9=49, Resulting Numbers: [108, 49]
Generated Node #3: [108, 49] from Operation: 58-9=49
Current State: 59:[108, 49], Operations: ['21+87=108', '58-9=49']
Exploring Operation: 108-49=59, Resulting Numbers: [59]
59,59 equal: Goal Reached
| 4 |
[
85,
47,
11,
60
] | 48 | [
"85+47=132",
"132/11=12",
"60-12=48"
] | Current State: 48:[85, 47, 11, 60], Operations: []
Exploring Operation: 85+47=132, Resulting Numbers: [11, 60, 132]
Generated Node #2: [11, 60, 132] from Operation: 85+47=132
Current State: 48:[11, 60, 132], Operations: ['85+47=132']
Exploring Operation: 132/11=12, Resulting Numbers: [60, 12]
Generated Node #3: [60, 12] from Operation: 132/11=12
Current State: 48:[60, 12], Operations: ['85+47=132', '132/11=12']
Exploring Operation: 60-12=48, Resulting Numbers: [48]
48,48 equal: Goal Reached
| 4 |
[
46,
84,
71,
7
] | 13 | [
"71-46=25",
"84/7=12",
"25-12=13"
] | Current State: 13:[46, 84, 71, 7], Operations: []
Exploring Operation: 71-46=25, Resulting Numbers: [84, 7, 25]
Generated Node #2: [84, 7, 25] from Operation: 71-46=25
Current State: 13:[84, 7, 25], Operations: ['71-46=25']
Exploring Operation: 84/7=12, Resulting Numbers: [25, 12]
Generated Node #3: [25, 12] from Operation: 84/7=12
Current State: 13:[25, 12], Operations: ['71-46=25', '84/7=12']
Exploring Operation: 25-12=13, Resulting Numbers: [13]
13,13 equal: Goal Reached
| 4 |
[
74,
3,
33,
66
] | 88 | [
"74-66=8",
"33/3=11",
"8*11=88"
] | Current State: 88:[74, 3, 33, 66], Operations: []
Exploring Operation: 74-66=8, Resulting Numbers: [3, 33, 8]
Generated Node #2: [3, 33, 8] from Operation: 74-66=8
Current State: 88:[3, 33, 8], Operations: ['74-66=8']
Exploring Operation: 33/3=11, Resulting Numbers: [8, 11]
Generated Node #3: [8, 11] from Operation: 33/3=11
Current State: 88:[8, 11], Operations: ['74-66=8', '33/3=11']
Exploring Operation: 8*11=88, Resulting Numbers: [88]
88,88 equal: Goal Reached
| 4 |
[
10,
99,
86,
30
] | 53 | [
"10+99=109",
"86-30=56",
"109-56=53"
] | Current State: 53:[10, 99, 86, 30], Operations: []
Exploring Operation: 10+99=109, Resulting Numbers: [86, 30, 109]
Generated Node #2: [86, 30, 109] from Operation: 10+99=109
Current State: 53:[86, 30, 109], Operations: ['10+99=109']
Exploring Operation: 86-30=56, Resulting Numbers: [109, 56]
Generated Node #3: [109, 56] from Operation: 86-30=56
Current State: 53:[109, 56], Operations: ['10+99=109', '86-30=56']
Exploring Operation: 109-56=53, Resulting Numbers: [53]
53,53 equal: Goal Reached
| 4 |
[
76,
36,
84,
8
] | 61 | [
"36+84=120",
"120/8=15",
"76-15=61"
] | Current State: 61:[76, 36, 84, 8], Operations: []
Exploring Operation: 36+84=120, Resulting Numbers: [76, 8, 120]
Generated Node #2: [76, 8, 120] from Operation: 36+84=120
Current State: 61:[76, 8, 120], Operations: ['36+84=120']
Exploring Operation: 120/8=15, Resulting Numbers: [76, 15]
Generated Node #3: [76, 15] from Operation: 120/8=15
Current State: 61:[76, 15], Operations: ['36+84=120', '120/8=15']
Exploring Operation: 76-15=61, Resulting Numbers: [61]
61,61 equal: Goal Reached
| 4 |
[
20,
20,
64,
68
] | 68 | [
"20-20=0",
"64*0=0",
"68+0=68"
] | Current State: 68:[20, 20, 64, 68], Operations: []
Exploring Operation: 20-20=0, Resulting Numbers: [64, 68, 0]
Generated Node #2: [64, 68, 0] from Operation: 20-20=0
Current State: 68:[64, 68, 0], Operations: ['20-20=0']
Exploring Operation: 64*0=0, Resulting Numbers: [68, 0]
Generated Node #3: [68, 0] from Operation: 64*0=0
Current State: 68:[68, 0], Operations: ['20-20=0', '64*0=0']
Exploring Operation: 68+0=68, Resulting Numbers: [68]
68,68 equal: Goal Reached
| 4 |
[
84,
69,
95,
28
] | 42 | [
"95-69=26",
"28-26=2",
"84/2=42"
] | Current State: 42:[84, 69, 95, 28], Operations: []
Exploring Operation: 95-69=26, Resulting Numbers: [84, 28, 26]
Generated Node #2: [84, 28, 26] from Operation: 95-69=26
Current State: 42:[84, 28, 26], Operations: ['95-69=26']
Exploring Operation: 28-26=2, Resulting Numbers: [84, 2]
Generated Node #3: [84, 2] from Operation: 28-26=2
Current State: 42:[84, 2], Operations: ['95-69=26', '28-26=2']
Exploring Operation: 84/2=42, Resulting Numbers: [42]
42,42 equal: Goal Reached
| 4 |
[
68,
8,
36,
7
] | 72 | [
"36-8=28",
"28/7=4",
"68+4=72"
] | Current State: 72:[68, 8, 36, 7], Operations: []
Exploring Operation: 36-8=28, Resulting Numbers: [68, 7, 28]
Generated Node #2: [68, 7, 28] from Operation: 36-8=28
Current State: 72:[68, 7, 28], Operations: ['36-8=28']
Exploring Operation: 28/7=4, Resulting Numbers: [68, 4]
Generated Node #3: [68, 4] from Operation: 28/7=4
Current State: 72:[68, 4], Operations: ['36-8=28', '28/7=4']
Exploring Operation: 68+4=72, Resulting Numbers: [72]
72,72 equal: Goal Reached
| 4 |
[
43,
70,
34,
48
] | 62 | [
"43*70=3010",
"3010-34=2976",
"2976/48=62"
] | Current State: 62:[43, 70, 34, 48], Operations: []
Exploring Operation: 43*70=3010, Resulting Numbers: [34, 48, 3010]
Generated Node #2: [34, 48, 3010] from Operation: 43*70=3010
Current State: 62:[34, 48, 3010], Operations: ['43*70=3010']
Exploring Operation: 3010-34=2976, Resulting Numbers: [48, 2976]
Generated Node #3: [48, 2976] from Operation: 3010-34=2976
Current State: 62:[48, 2976], Operations: ['43*70=3010', '3010-34=2976']
Exploring Operation: 2976/48=62, Resulting Numbers: [62]
62,62 equal: Goal Reached
| 4 |
[
29,
95,
58,
57
] | 49 | [
"95-29=66",
"58+57=115",
"115-66=49"
] | Current State: 49:[29, 95, 58, 57], Operations: []
Exploring Operation: 95-29=66, Resulting Numbers: [58, 57, 66]
Generated Node #2: [58, 57, 66] from Operation: 95-29=66
Current State: 49:[58, 57, 66], Operations: ['95-29=66']
Exploring Operation: 58+57=115, Resulting Numbers: [66, 115]
Generated Node #3: [66, 115] from Operation: 58+57=115
Current State: 49:[66, 115], Operations: ['95-29=66', '58+57=115']
Exploring Operation: 115-66=49, Resulting Numbers: [49]
49,49 equal: Goal Reached
| 4 |
[
55,
6,
88,
45
] | 66 | [
"88*45=3960",
"3960/55=72",
"72-6=66"
] | Current State: 66:[55, 6, 88, 45], Operations: []
Exploring Operation: 88*45=3960, Resulting Numbers: [55, 6, 3960]
Generated Node #2: [55, 6, 3960] from Operation: 88*45=3960
Current State: 66:[55, 6, 3960], Operations: ['88*45=3960']
Exploring Operation: 3960/55=72, Resulting Numbers: [6, 72]
Generated Node #3: [6, 72] from Operation: 3960/55=72
Current State: 66:[6, 72], Operations: ['88*45=3960', '3960/55=72']
Exploring Operation: 72-6=66, Resulting Numbers: [66]
66,66 equal: Goal Reached
| 4 |
[
22,
3,
24,
71
] | 77 | [
"24-22=2",
"3*2=6",
"71+6=77"
] | Current State: 77:[22, 3, 24, 71], Operations: []
Exploring Operation: 24-22=2, Resulting Numbers: [3, 71, 2]
Generated Node #2: [3, 71, 2] from Operation: 24-22=2
Current State: 77:[3, 71, 2], Operations: ['24-22=2']
Exploring Operation: 3*2=6, Resulting Numbers: [71, 6]
Generated Node #3: [71, 6] from Operation: 3*2=6
Current State: 77:[71, 6], Operations: ['24-22=2', '3*2=6']
Exploring Operation: 71+6=77, Resulting Numbers: [77]
77,77 equal: Goal Reached
| 4 |
[
2,
72,
93,
85
] | 56 | [
"93-85=8",
"2*8=16",
"72-16=56"
] | Current State: 56:[2, 72, 93, 85], Operations: []
Exploring Operation: 93-85=8, Resulting Numbers: [2, 72, 8]
Generated Node #2: [2, 72, 8] from Operation: 93-85=8
Current State: 56:[2, 72, 8], Operations: ['93-85=8']
Exploring Operation: 2*8=16, Resulting Numbers: [72, 16]
Generated Node #3: [72, 16] from Operation: 2*8=16
Current State: 56:[72, 16], Operations: ['93-85=8', '2*8=16']
Exploring Operation: 72-16=56, Resulting Numbers: [56]
56,56 equal: Goal Reached
| 4 |
[
83,
17,
5,
20
] | 98 | [
"20-17=3",
"5*3=15",
"83+15=98"
] | Current State: 98:[83, 17, 5, 20], Operations: []
Exploring Operation: 20-17=3, Resulting Numbers: [83, 5, 3]
Generated Node #2: [83, 5, 3] from Operation: 20-17=3
Current State: 98:[83, 5, 3], Operations: ['20-17=3']
Exploring Operation: 5*3=15, Resulting Numbers: [83, 15]
Generated Node #3: [83, 15] from Operation: 5*3=15
Current State: 98:[83, 15], Operations: ['20-17=3', '5*3=15']
Exploring Operation: 83+15=98, Resulting Numbers: [98]
98,98 equal: Goal Reached
| 4 |
[
78,
26,
14,
32
] | 49 | [
"78/26=3",
"14+32=46",
"3+46=49"
] | Current State: 49:[78, 26, 14, 32], Operations: []
Exploring Operation: 78/26=3, Resulting Numbers: [14, 32, 3]
Generated Node #2: [14, 32, 3] from Operation: 78/26=3
Current State: 49:[14, 32, 3], Operations: ['78/26=3']
Exploring Operation: 14+32=46, Resulting Numbers: [3, 46]
Generated Node #3: [3, 46] from Operation: 14+32=46
Current State: 49:[3, 46], Operations: ['78/26=3', '14+32=46']
Exploring Operation: 3+46=49, Resulting Numbers: [49]
49,49 equal: Goal Reached
| 4 |
[
19,
64,
76,
36
] | 73 | [
"76/19=4",
"36/4=9",
"64+9=73"
] | Current State: 73:[19, 64, 76, 36], Operations: []
Exploring Operation: 76/19=4, Resulting Numbers: [64, 36, 4]
Generated Node #2: [64, 36, 4] from Operation: 76/19=4
Current State: 73:[64, 36, 4], Operations: ['76/19=4']
Exploring Operation: 36/4=9, Resulting Numbers: [64, 9]
Generated Node #3: [64, 9] from Operation: 36/4=9
Current State: 73:[64, 9], Operations: ['76/19=4', '36/4=9']
Exploring Operation: 64+9=73, Resulting Numbers: [73]
73,73 equal: Goal Reached
| 4 |
[
8,
78,
62,
45
] | 37 | [
"78-8=70",
"62+45=107",
"107-70=37"
] | Current State: 37:[8, 78, 62, 45], Operations: []
Exploring Operation: 78-8=70, Resulting Numbers: [62, 45, 70]
Generated Node #2: [62, 45, 70] from Operation: 78-8=70
Current State: 37:[62, 45, 70], Operations: ['78-8=70']
Exploring Operation: 62+45=107, Resulting Numbers: [70, 107]
Generated Node #3: [70, 107] from Operation: 62+45=107
Current State: 37:[70, 107], Operations: ['78-8=70', '62+45=107']
Exploring Operation: 107-70=37, Resulting Numbers: [37]
37,37 equal: Goal Reached
| 4 |
[
51,
57,
19,
74
] | 22 | [
"74-57=17",
"51/17=3",
"19+3=22"
] | Current State: 22:[51, 57, 19, 74], Operations: []
Exploring Operation: 74-57=17, Resulting Numbers: [51, 19, 17]
Generated Node #2: [51, 19, 17] from Operation: 74-57=17
Current State: 22:[51, 19, 17], Operations: ['74-57=17']
Exploring Operation: 51/17=3, Resulting Numbers: [19, 3]
Generated Node #3: [19, 3] from Operation: 51/17=3
Current State: 22:[19, 3], Operations: ['74-57=17', '51/17=3']
Exploring Operation: 19+3=22, Resulting Numbers: [22]
22,22 equal: Goal Reached
| 4 |
[
86,
68,
22,
34
] | 27 | [
"86+68=154",
"154/22=7",
"34-7=27"
] | Current State: 27:[86, 68, 22, 34], Operations: []
Exploring Operation: 86+68=154, Resulting Numbers: [22, 34, 154]
Generated Node #2: [22, 34, 154] from Operation: 86+68=154
Current State: 27:[22, 34, 154], Operations: ['86+68=154']
Exploring Operation: 154/22=7, Resulting Numbers: [34, 7]
Generated Node #3: [34, 7] from Operation: 154/22=7
Current State: 27:[34, 7], Operations: ['86+68=154', '154/22=7']
Exploring Operation: 34-7=27, Resulting Numbers: [27]
27,27 equal: Goal Reached
| 4 |
[
20,
6,
71,
59
] | 48 | [
"71-20=51",
"59-51=8",
"6*8=48"
] | Current State: 48:[20, 6, 71, 59], Operations: []
Exploring Operation: 71-20=51, Resulting Numbers: [6, 59, 51]
Generated Node #2: [6, 59, 51] from Operation: 71-20=51
Current State: 48:[6, 59, 51], Operations: ['71-20=51']
Exploring Operation: 59-51=8, Resulting Numbers: [6, 8]
Generated Node #3: [6, 8] from Operation: 59-51=8
Current State: 48:[6, 8], Operations: ['71-20=51', '59-51=8']
Exploring Operation: 6*8=48, Resulting Numbers: [48]
48,48 equal: Goal Reached
| 4 |
[
7,
61,
74,
37
] | 31 | [
"7+61=68",
"74-37=37",
"68-37=31"
] | Current State: 31:[7, 61, 74, 37], Operations: []
Exploring Operation: 7+61=68, Resulting Numbers: [74, 37, 68]
Generated Node #2: [74, 37, 68] from Operation: 7+61=68
Current State: 31:[74, 37, 68], Operations: ['7+61=68']
Exploring Operation: 74-37=37, Resulting Numbers: [68, 37]
Generated Node #3: [68, 37] from Operation: 74-37=37
Current State: 31:[68, 37], Operations: ['7+61=68', '74-37=37']
Exploring Operation: 68-37=31, Resulting Numbers: [31]
31,31 equal: Goal Reached
| 4 |
[
82,
26,
22,
13
] | 91 | [
"82-26=56",
"22+13=35",
"56+35=91"
] | Current State: 91:[82, 26, 22, 13], Operations: []
Exploring Operation: 82-26=56, Resulting Numbers: [22, 13, 56]
Generated Node #2: [22, 13, 56] from Operation: 82-26=56
Current State: 91:[22, 13, 56], Operations: ['82-26=56']
Exploring Operation: 22+13=35, Resulting Numbers: [56, 35]
Generated Node #3: [56, 35] from Operation: 22+13=35
Current State: 91:[56, 35], Operations: ['82-26=56', '22+13=35']
Exploring Operation: 56+35=91, Resulting Numbers: [91]
91,91 equal: Goal Reached
| 4 |
[
14,
82,
3,
93
] | 53 | [
"14*3=42",
"93-82=11",
"42+11=53"
] | Current State: 53:[14, 82, 3, 93], Operations: []
Exploring Operation: 14*3=42, Resulting Numbers: [82, 93, 42]
Generated Node #2: [82, 93, 42] from Operation: 14*3=42
Current State: 53:[82, 93, 42], Operations: ['14*3=42']
Exploring Operation: 93-82=11, Resulting Numbers: [42, 11]
Generated Node #3: [42, 11] from Operation: 93-82=11
Current State: 53:[42, 11], Operations: ['14*3=42', '93-82=11']
Exploring Operation: 42+11=53, Resulting Numbers: [53]
53,53 equal: Goal Reached
| 4 |
[
40,
76,
61,
75
] | 20 | [
"40+76=116",
"61+75=136",
"136-116=20"
] | Current State: 20:[40, 76, 61, 75], Operations: []
Exploring Operation: 40+76=116, Resulting Numbers: [61, 75, 116]
Generated Node #2: [61, 75, 116] from Operation: 40+76=116
Current State: 20:[61, 75, 116], Operations: ['40+76=116']
Exploring Operation: 61+75=136, Resulting Numbers: [116, 136]
Generated Node #3: [116, 136] from Operation: 61+75=136
Current State: 20:[116, 136], Operations: ['40+76=116', '61+75=136']
Exploring Operation: 136-116=20, Resulting Numbers: [20]
20,20 equal: Goal Reached
| 4 |
[
72,
25,
28,
45
] | 64 | [
"72-25=47",
"45-28=17",
"47+17=64"
] | Current State: 64:[72, 25, 28, 45], Operations: []
Exploring Operation: 72-25=47, Resulting Numbers: [28, 45, 47]
Generated Node #2: [28, 45, 47] from Operation: 72-25=47
Current State: 64:[28, 45, 47], Operations: ['72-25=47']
Exploring Operation: 45-28=17, Resulting Numbers: [47, 17]
Generated Node #3: [47, 17] from Operation: 45-28=17
Current State: 64:[47, 17], Operations: ['72-25=47', '45-28=17']
Exploring Operation: 47+17=64, Resulting Numbers: [64]
64,64 equal: Goal Reached
| 4 |
[
43,
81,
54,
10
] | 80 | [
"43+81=124",
"54-10=44",
"124-44=80"
] | Current State: 80:[43, 81, 54, 10], Operations: []
Exploring Operation: 43+81=124, Resulting Numbers: [54, 10, 124]
Generated Node #2: [54, 10, 124] from Operation: 43+81=124
Current State: 80:[54, 10, 124], Operations: ['43+81=124']
Exploring Operation: 54-10=44, Resulting Numbers: [124, 44]
Generated Node #3: [124, 44] from Operation: 54-10=44
Current State: 80:[124, 44], Operations: ['43+81=124', '54-10=44']
Exploring Operation: 124-44=80, Resulting Numbers: [80]
80,80 equal: Goal Reached
| 4 |
[
65,
50,
1,
78
] | 37 | [
"65+50=115",
"1*78=78",
"115-78=37"
] | Current State: 37:[65, 50, 1, 78], Operations: []
Exploring Operation: 65+50=115, Resulting Numbers: [1, 78, 115]
Generated Node #2: [1, 78, 115] from Operation: 65+50=115
Current State: 37:[1, 78, 115], Operations: ['65+50=115']
Exploring Operation: 1*78=78, Resulting Numbers: [115, 78]
Generated Node #3: [115, 78] from Operation: 1*78=78
Current State: 37:[115, 78], Operations: ['65+50=115', '1*78=78']
Exploring Operation: 115-78=37, Resulting Numbers: [37]
37,37 equal: Goal Reached
| 4 |
[
89,
31,
11,
45
] | 24 | [
"89-31=58",
"45-11=34",
"58-34=24"
] | Current State: 24:[89, 31, 11, 45], Operations: []
Exploring Operation: 89-31=58, Resulting Numbers: [11, 45, 58]
Generated Node #2: [11, 45, 58] from Operation: 89-31=58
Current State: 24:[11, 45, 58], Operations: ['89-31=58']
Exploring Operation: 45-11=34, Resulting Numbers: [58, 34]
Generated Node #3: [58, 34] from Operation: 45-11=34
Current State: 24:[58, 34], Operations: ['89-31=58', '45-11=34']
Exploring Operation: 58-34=24, Resulting Numbers: [24]
24,24 equal: Goal Reached
| 4 |
[
46,
22,
82,
20
] | 78 | [
"46-22=24",
"82+20=102",
"102-24=78"
] | Current State: 78:[46, 22, 82, 20], Operations: []
Exploring Operation: 46-22=24, Resulting Numbers: [82, 20, 24]
Generated Node #2: [82, 20, 24] from Operation: 46-22=24
Current State: 78:[82, 20, 24], Operations: ['46-22=24']
Exploring Operation: 82+20=102, Resulting Numbers: [24, 102]
Generated Node #3: [24, 102] from Operation: 82+20=102
Current State: 78:[24, 102], Operations: ['46-22=24', '82+20=102']
Exploring Operation: 102-24=78, Resulting Numbers: [78]
78,78 equal: Goal Reached
| 4 |
[
22,
40,
77,
21
] | 34 | [
"22*21=462",
"462/77=6",
"40-6=34"
] | Current State: 34:[22, 40, 77, 21], Operations: []
Exploring Operation: 22*21=462, Resulting Numbers: [40, 77, 462]
Generated Node #2: [40, 77, 462] from Operation: 22*21=462
Current State: 34:[40, 77, 462], Operations: ['22*21=462']
Exploring Operation: 462/77=6, Resulting Numbers: [40, 6]
Generated Node #3: [40, 6] from Operation: 462/77=6
Current State: 34:[40, 6], Operations: ['22*21=462', '462/77=6']
Exploring Operation: 40-6=34, Resulting Numbers: [34]
34,34 equal: Goal Reached
| 4 |
[
34,
70,
32,
10
] | 90 | [
"34-32=2",
"10*2=20",
"70+20=90"
] | Current State: 90:[34, 70, 32, 10], Operations: []
Exploring Operation: 34-32=2, Resulting Numbers: [70, 10, 2]
Generated Node #2: [70, 10, 2] from Operation: 34-32=2
Current State: 90:[70, 10, 2], Operations: ['34-32=2']
Exploring Operation: 10*2=20, Resulting Numbers: [70, 20]
Generated Node #3: [70, 20] from Operation: 10*2=20
Current State: 90:[70, 20], Operations: ['34-32=2', '10*2=20']
Exploring Operation: 70+20=90, Resulting Numbers: [90]
90,90 equal: Goal Reached
| 4 |
[
80,
13,
3,
5
] | 87 | [
"80/5=16",
"13+16=29",
"3*29=87"
] | Current State: 87:[80, 13, 3, 5], Operations: []
Exploring Operation: 80/5=16, Resulting Numbers: [13, 3, 16]
Generated Node #2: [13, 3, 16] from Operation: 80/5=16
Current State: 87:[13, 3, 16], Operations: ['80/5=16']
Exploring Operation: 13+16=29, Resulting Numbers: [3, 29]
Generated Node #3: [3, 29] from Operation: 13+16=29
Current State: 87:[3, 29], Operations: ['80/5=16', '13+16=29']
Exploring Operation: 3*29=87, Resulting Numbers: [87]
87,87 equal: Goal Reached
| 4 |
[
42,
87,
99,
47
] | 69 | [
"42*99=4158",
"87*47=4089",
"4158-4089=69"
] | Current State: 69:[42, 87, 99, 47], Operations: []
Exploring Operation: 42*99=4158, Resulting Numbers: [87, 47, 4158]
Generated Node #2: [87, 47, 4158] from Operation: 42*99=4158
Current State: 69:[87, 47, 4158], Operations: ['42*99=4158']
Exploring Operation: 87*47=4089, Resulting Numbers: [4158, 4089]
Generated Node #3: [4158, 4089] from Operation: 87*47=4089
Current State: 69:[4158, 4089], Operations: ['42*99=4158', '87*47=4089']
Exploring Operation: 4158-4089=69, Resulting Numbers: [69]
69,69 equal: Goal Reached
| 4 |
[
13,
33,
86,
42
] | 82 | [
"13+33=46",
"86+42=128",
"128-46=82"
] | Current State: 82:[13, 33, 86, 42], Operations: []
Exploring Operation: 13+33=46, Resulting Numbers: [86, 42, 46]
Generated Node #2: [86, 42, 46] from Operation: 13+33=46
Current State: 82:[86, 42, 46], Operations: ['13+33=46']
Exploring Operation: 86+42=128, Resulting Numbers: [46, 128]
Generated Node #3: [46, 128] from Operation: 86+42=128
Current State: 82:[46, 128], Operations: ['13+33=46', '86+42=128']
Exploring Operation: 128-46=82, Resulting Numbers: [82]
82,82 equal: Goal Reached
| 4 |
[
38,
52,
56,
30
] | 64 | [
"38+52=90",
"56-30=26",
"90-26=64"
] | Current State: 64:[38, 52, 56, 30], Operations: []
Exploring Operation: 38+52=90, Resulting Numbers: [56, 30, 90]
Generated Node #2: [56, 30, 90] from Operation: 38+52=90
Current State: 64:[56, 30, 90], Operations: ['38+52=90']
Exploring Operation: 56-30=26, Resulting Numbers: [90, 26]
Generated Node #3: [90, 26] from Operation: 56-30=26
Current State: 64:[90, 26], Operations: ['38+52=90', '56-30=26']
Exploring Operation: 90-26=64, Resulting Numbers: [64]
64,64 equal: Goal Reached
| 4 |
[
13,
4,
96,
5
] | 48 | [
"13-5=8",
"4*96=384",
"384/8=48"
] | Current State: 48:[13, 4, 96, 5], Operations: []
Exploring Operation: 13-5=8, Resulting Numbers: [4, 96, 8]
Generated Node #2: [4, 96, 8] from Operation: 13-5=8
Current State: 48:[4, 96, 8], Operations: ['13-5=8']
Exploring Operation: 4*96=384, Resulting Numbers: [8, 384]
Generated Node #3: [8, 384] from Operation: 4*96=384
Current State: 48:[8, 384], Operations: ['13-5=8', '4*96=384']
Exploring Operation: 384/8=48, Resulting Numbers: [48]
48,48 equal: Goal Reached
| 4 |
[
74,
89,
97,
39
] | 73 | [
"89-74=15",
"97-39=58",
"15+58=73"
] | Current State: 73:[74, 89, 97, 39], Operations: []
Exploring Operation: 89-74=15, Resulting Numbers: [97, 39, 15]
Generated Node #2: [97, 39, 15] from Operation: 89-74=15
Current State: 73:[97, 39, 15], Operations: ['89-74=15']
Exploring Operation: 97-39=58, Resulting Numbers: [15, 58]
Generated Node #3: [15, 58] from Operation: 97-39=58
Current State: 73:[15, 58], Operations: ['89-74=15', '97-39=58']
Exploring Operation: 15+58=73, Resulting Numbers: [73]
73,73 equal: Goal Reached
| 4 |
[
36,
82,
2,
96
] | 53 | [
"82+96=178",
"178/2=89",
"89-36=53"
] | Current State: 53:[36, 82, 2, 96], Operations: []
Exploring Operation: 82+96=178, Resulting Numbers: [36, 2, 178]
Generated Node #2: [36, 2, 178] from Operation: 82+96=178
Current State: 53:[36, 2, 178], Operations: ['82+96=178']
Exploring Operation: 178/2=89, Resulting Numbers: [36, 89]
Generated Node #3: [36, 89] from Operation: 178/2=89
Current State: 53:[36, 89], Operations: ['82+96=178', '178/2=89']
Exploring Operation: 89-36=53, Resulting Numbers: [53]
53,53 equal: Goal Reached
| 4 |
[
60,
87,
88,
47
] | 12 | [
"60+87=147",
"88+47=135",
"147-135=12"
] | Current State: 12:[60, 87, 88, 47], Operations: []
Exploring Operation: 60+87=147, Resulting Numbers: [88, 47, 147]
Generated Node #2: [88, 47, 147] from Operation: 60+87=147
Current State: 12:[88, 47, 147], Operations: ['60+87=147']
Exploring Operation: 88+47=135, Resulting Numbers: [147, 135]
Generated Node #3: [147, 135] from Operation: 88+47=135
Current State: 12:[147, 135], Operations: ['60+87=147', '88+47=135']
Exploring Operation: 147-135=12, Resulting Numbers: [12]
12,12 equal: Goal Reached
| 4 |
[
97,
33,
71,
68
] | 61 | [
"97-33=64",
"71-68=3",
"64-3=61"
] | Current State: 61:[97, 33, 71, 68], Operations: []
Exploring Operation: 97-33=64, Resulting Numbers: [71, 68, 64]
Generated Node #2: [71, 68, 64] from Operation: 97-33=64
Current State: 61:[71, 68, 64], Operations: ['97-33=64']
Exploring Operation: 71-68=3, Resulting Numbers: [64, 3]
Generated Node #3: [64, 3] from Operation: 71-68=3
Current State: 61:[64, 3], Operations: ['97-33=64', '71-68=3']
Exploring Operation: 64-3=61, Resulting Numbers: [61]
61,61 equal: Goal Reached
| 4 |
[
15,
21,
38,
27
] | 19 | [
"15+27=42",
"21*38=798",
"798/42=19"
] | Current State: 19:[15, 21, 38, 27], Operations: []
Exploring Operation: 15+27=42, Resulting Numbers: [21, 38, 42]
Generated Node #2: [21, 38, 42] from Operation: 15+27=42
Current State: 19:[21, 38, 42], Operations: ['15+27=42']
Exploring Operation: 21*38=798, Resulting Numbers: [42, 798]
Generated Node #3: [42, 798] from Operation: 21*38=798
Current State: 19:[42, 798], Operations: ['15+27=42', '21*38=798']
Exploring Operation: 798/42=19, Resulting Numbers: [19]
19,19 equal: Goal Reached
| 4 |
[
54,
49,
93,
61
] | 71 | [
"54+49=103",
"93-61=32",
"103-32=71"
] | Current State: 71:[54, 49, 93, 61], Operations: []
Exploring Operation: 54+49=103, Resulting Numbers: [93, 61, 103]
Generated Node #2: [93, 61, 103] from Operation: 54+49=103
Current State: 71:[93, 61, 103], Operations: ['54+49=103']
Exploring Operation: 93-61=32, Resulting Numbers: [103, 32]
Generated Node #3: [103, 32] from Operation: 93-61=32
Current State: 71:[103, 32], Operations: ['54+49=103', '93-61=32']
Exploring Operation: 103-32=71, Resulting Numbers: [71]
71,71 equal: Goal Reached
| 4 |
[
93,
11,
49,
60
] | 15 | [
"93-49=44",
"11*60=660",
"660/44=15"
] | Current State: 15:[93, 11, 49, 60], Operations: []
Exploring Operation: 93-49=44, Resulting Numbers: [11, 60, 44]
Generated Node #2: [11, 60, 44] from Operation: 93-49=44
Current State: 15:[11, 60, 44], Operations: ['93-49=44']
Exploring Operation: 11*60=660, Resulting Numbers: [44, 660]
Generated Node #3: [44, 660] from Operation: 11*60=660
Current State: 15:[44, 660], Operations: ['93-49=44', '11*60=660']
Exploring Operation: 660/44=15, Resulting Numbers: [15]
15,15 equal: Goal Reached
| 4 |
[
70,
34,
48,
69
] | 92 | [
"70-34=36",
"48*69=3312",
"3312/36=92"
] | Current State: 92:[70, 34, 48, 69], Operations: []
Exploring Operation: 70-34=36, Resulting Numbers: [48, 69, 36]
Generated Node #2: [48, 69, 36] from Operation: 70-34=36
Current State: 92:[48, 69, 36], Operations: ['70-34=36']
Exploring Operation: 48*69=3312, Resulting Numbers: [36, 3312]
Generated Node #3: [36, 3312] from Operation: 48*69=3312
Current State: 92:[36, 3312], Operations: ['70-34=36', '48*69=3312']
Exploring Operation: 3312/36=92, Resulting Numbers: [92]
92,92 equal: Goal Reached
| 4 |
[
57,
34,
89,
68
] | 39 | [
"34*68=2312",
"2312-89=2223",
"2223/57=39"
] | Current State: 39:[57, 34, 89, 68], Operations: []
Exploring Operation: 34*68=2312, Resulting Numbers: [57, 89, 2312]
Generated Node #2: [57, 89, 2312] from Operation: 34*68=2312
Current State: 39:[57, 89, 2312], Operations: ['34*68=2312']
Exploring Operation: 2312-89=2223, Resulting Numbers: [57, 2223]
Generated Node #3: [57, 2223] from Operation: 2312-89=2223
Current State: 39:[57, 2223], Operations: ['34*68=2312', '2312-89=2223']
Exploring Operation: 2223/57=39, Resulting Numbers: [39]
39,39 equal: Goal Reached
| 4 |
[
69,
39,
49,
10
] | 41 | [
"69-49=20",
"20/10=2",
"39+2=41"
] | Current State: 41:[69, 39, 49, 10], Operations: []
Exploring Operation: 69-49=20, Resulting Numbers: [39, 10, 20]
Generated Node #2: [39, 10, 20] from Operation: 69-49=20
Current State: 41:[39, 10, 20], Operations: ['69-49=20']
Exploring Operation: 20/10=2, Resulting Numbers: [39, 2]
Generated Node #3: [39, 2] from Operation: 20/10=2
Current State: 41:[39, 2], Operations: ['69-49=20', '20/10=2']
Exploring Operation: 39+2=41, Resulting Numbers: [41]
41,41 equal: Goal Reached
| 4 |
[
14,
60,
28,
11
] | 57 | [
"14+60=74",
"28-11=17",
"74-17=57"
] | Current State: 57:[14, 60, 28, 11], Operations: []
Exploring Operation: 14+60=74, Resulting Numbers: [28, 11, 74]
Generated Node #2: [28, 11, 74] from Operation: 14+60=74
Current State: 57:[28, 11, 74], Operations: ['14+60=74']
Exploring Operation: 28-11=17, Resulting Numbers: [74, 17]
Generated Node #3: [74, 17] from Operation: 28-11=17
Current State: 57:[74, 17], Operations: ['14+60=74', '28-11=17']
Exploring Operation: 74-17=57, Resulting Numbers: [57]
57,57 equal: Goal Reached
| 4 |
[
82,
2,
34,
52
] | 49 | [
"82-52=30",
"30/2=15",
"34+15=49"
] | Current State: 49:[82, 2, 34, 52], Operations: []
Exploring Operation: 82-52=30, Resulting Numbers: [2, 34, 30]
Generated Node #2: [2, 34, 30] from Operation: 82-52=30
Current State: 49:[2, 34, 30], Operations: ['82-52=30']
Exploring Operation: 30/2=15, Resulting Numbers: [34, 15]
Generated Node #3: [34, 15] from Operation: 30/2=15
Current State: 49:[34, 15], Operations: ['82-52=30', '30/2=15']
Exploring Operation: 34+15=49, Resulting Numbers: [49]
49,49 equal: Goal Reached
| 4 |
[
45,
12,
23,
67
] | 57 | [
"45-12=33",
"23+67=90",
"90-33=57"
] | Current State: 57:[45, 12, 23, 67], Operations: []
Exploring Operation: 45-12=33, Resulting Numbers: [23, 67, 33]
Generated Node #2: [23, 67, 33] from Operation: 45-12=33
Current State: 57:[23, 67, 33], Operations: ['45-12=33']
Exploring Operation: 23+67=90, Resulting Numbers: [33, 90]
Generated Node #3: [33, 90] from Operation: 23+67=90
Current State: 57:[33, 90], Operations: ['45-12=33', '23+67=90']
Exploring Operation: 90-33=57, Resulting Numbers: [57]
57,57 equal: Goal Reached
| 4 |
[
76,
42,
25,
61
] | 32 | [
"76+42=118",
"25+61=86",
"118-86=32"
] | Current State: 32:[76, 42, 25, 61], Operations: []
Exploring Operation: 76+42=118, Resulting Numbers: [25, 61, 118]
Generated Node #2: [25, 61, 118] from Operation: 76+42=118
Current State: 32:[25, 61, 118], Operations: ['76+42=118']
Exploring Operation: 25+61=86, Resulting Numbers: [118, 86]
Generated Node #3: [118, 86] from Operation: 25+61=86
Current State: 32:[118, 86], Operations: ['76+42=118', '25+61=86']
Exploring Operation: 118-86=32, Resulting Numbers: [32]
32,32 equal: Goal Reached
| 4 |
[
35,
80,
45,
11
] | 88 | [
"45-35=10",
"80*11=880",
"880/10=88"
] | Current State: 88:[35, 80, 45, 11], Operations: []
Exploring Operation: 45-35=10, Resulting Numbers: [80, 11, 10]
Generated Node #2: [80, 11, 10] from Operation: 45-35=10
Current State: 88:[80, 11, 10], Operations: ['45-35=10']
Exploring Operation: 80*11=880, Resulting Numbers: [10, 880]
Generated Node #3: [10, 880] from Operation: 80*11=880
Current State: 88:[10, 880], Operations: ['45-35=10', '80*11=880']
Exploring Operation: 880/10=88, Resulting Numbers: [88]
88,88 equal: Goal Reached
| 4 |
[
78,
2,
56,
39
] | 28 | [
"78+56=134",
"134/2=67",
"67-39=28"
] | Current State: 28:[78, 2, 56, 39], Operations: []
Exploring Operation: 78+56=134, Resulting Numbers: [2, 39, 134]
Generated Node #2: [2, 39, 134] from Operation: 78+56=134
Current State: 28:[2, 39, 134], Operations: ['78+56=134']
Exploring Operation: 134/2=67, Resulting Numbers: [39, 67]
Generated Node #3: [39, 67] from Operation: 134/2=67
Current State: 28:[39, 67], Operations: ['78+56=134', '134/2=67']
Exploring Operation: 67-39=28, Resulting Numbers: [28]
28,28 equal: Goal Reached
| 4 |
[
30,
1,
77,
63
] | 15 | [
"30-1=29",
"77-63=14",
"29-14=15"
] | Current State: 15:[30, 1, 77, 63], Operations: []
Exploring Operation: 30-1=29, Resulting Numbers: [77, 63, 29]
Generated Node #2: [77, 63, 29] from Operation: 30-1=29
Current State: 15:[77, 63, 29], Operations: ['30-1=29']
Exploring Operation: 77-63=14, Resulting Numbers: [29, 14]
Generated Node #3: [29, 14] from Operation: 77-63=14
Current State: 15:[29, 14], Operations: ['30-1=29', '77-63=14']
Exploring Operation: 29-14=15, Resulting Numbers: [15]
15,15 equal: Goal Reached
| 4 |
[
46,
57,
18,
16
] | 35 | [
"18-16=2",
"46*2=92",
"92-57=35"
] | Current State: 35:[46, 57, 18, 16], Operations: []
Exploring Operation: 18-16=2, Resulting Numbers: [46, 57, 2]
Generated Node #2: [46, 57, 2] from Operation: 18-16=2
Current State: 35:[46, 57, 2], Operations: ['18-16=2']
Exploring Operation: 46*2=92, Resulting Numbers: [57, 92]
Generated Node #3: [57, 92] from Operation: 46*2=92
Current State: 35:[57, 92], Operations: ['18-16=2', '46*2=92']
Exploring Operation: 92-57=35, Resulting Numbers: [35]
35,35 equal: Goal Reached
| 4 |
[
34,
6,
37,
46
] | 51 | [
"46-37=9",
"34*9=306",
"306/6=51"
] | Current State: 51:[34, 6, 37, 46], Operations: []
Exploring Operation: 46-37=9, Resulting Numbers: [34, 6, 9]
Generated Node #2: [34, 6, 9] from Operation: 46-37=9
Current State: 51:[34, 6, 9], Operations: ['46-37=9']
Exploring Operation: 34*9=306, Resulting Numbers: [6, 306]
Generated Node #3: [6, 306] from Operation: 34*9=306
Current State: 51:[6, 306], Operations: ['46-37=9', '34*9=306']
Exploring Operation: 306/6=51, Resulting Numbers: [51]
51,51 equal: Goal Reached
| 4 |
[
88,
84,
75,
32
] | 53 | [
"88-84=4",
"32*4=128",
"128-75=53"
] | Current State: 53:[88, 84, 75, 32], Operations: []
Exploring Operation: 88-84=4, Resulting Numbers: [75, 32, 4]
Generated Node #2: [75, 32, 4] from Operation: 88-84=4
Current State: 53:[75, 32, 4], Operations: ['88-84=4']
Exploring Operation: 32*4=128, Resulting Numbers: [75, 128]
Generated Node #3: [75, 128] from Operation: 32*4=128
Current State: 53:[75, 128], Operations: ['88-84=4', '32*4=128']
Exploring Operation: 128-75=53, Resulting Numbers: [53]
53,53 equal: Goal Reached
| 4 |
[
12,
31,
22,
33
] | 56 | [
"33-31=2",
"22*2=44",
"12+44=56"
] | Current State: 56:[12, 31, 22, 33], Operations: []
Exploring Operation: 33-31=2, Resulting Numbers: [12, 22, 2]
Generated Node #2: [12, 22, 2] from Operation: 33-31=2
Current State: 56:[12, 22, 2], Operations: ['33-31=2']
Exploring Operation: 22*2=44, Resulting Numbers: [12, 44]
Generated Node #3: [12, 44] from Operation: 22*2=44
Current State: 56:[12, 44], Operations: ['33-31=2', '22*2=44']
Exploring Operation: 12+44=56, Resulting Numbers: [56]
56,56 equal: Goal Reached
| 4 |
[
24,
12,
98,
27
] | 59 | [
"24-12=12",
"98-27=71",
"71-12=59"
] | Current State: 59:[24, 12, 98, 27], Operations: []
Exploring Operation: 24-12=12, Resulting Numbers: [98, 27, 12]
Generated Node #2: [98, 27, 12] from Operation: 24-12=12
Current State: 59:[98, 27, 12], Operations: ['24-12=12']
Exploring Operation: 98-27=71, Resulting Numbers: [12, 71]
Generated Node #3: [12, 71] from Operation: 98-27=71
Current State: 59:[12, 71], Operations: ['24-12=12', '98-27=71']
Exploring Operation: 71-12=59, Resulting Numbers: [59]
59,59 equal: Goal Reached
| 4 |
[
54,
61,
97,
99
] | 88 | [
"99-97=2",
"54/2=27",
"61+27=88"
] | Current State: 88:[54, 61, 97, 99], Operations: []
Exploring Operation: 99-97=2, Resulting Numbers: [54, 61, 2]
Generated Node #2: [54, 61, 2] from Operation: 99-97=2
Current State: 88:[54, 61, 2], Operations: ['99-97=2']
Exploring Operation: 54/2=27, Resulting Numbers: [61, 27]
Generated Node #3: [61, 27] from Operation: 54/2=27
Current State: 88:[61, 27], Operations: ['99-97=2', '54/2=27']
Exploring Operation: 61+27=88, Resulting Numbers: [88]
88,88 equal: Goal Reached
| 4 |
[
15,
52,
9,
8
] | 68 | [
"15+52=67",
"9-8=1",
"67+1=68"
] | Current State: 68:[15, 52, 9, 8], Operations: []
Exploring Operation: 15+52=67, Resulting Numbers: [9, 8, 67]
Generated Node #2: [9, 8, 67] from Operation: 15+52=67
Current State: 68:[9, 8, 67], Operations: ['15+52=67']
Exploring Operation: 9-8=1, Resulting Numbers: [67, 1]
Generated Node #3: [67, 1] from Operation: 9-8=1
Current State: 68:[67, 1], Operations: ['15+52=67', '9-8=1']
Exploring Operation: 67+1=68, Resulting Numbers: [68]
68,68 equal: Goal Reached
| 4 |
[
37,
40,
23,
48
] | 28 | [
"40-37=3",
"48-23=25",
"3+25=28"
] | Current State: 28:[37, 40, 23, 48], Operations: []
Exploring Operation: 40-37=3, Resulting Numbers: [23, 48, 3]
Generated Node #2: [23, 48, 3] from Operation: 40-37=3
Current State: 28:[23, 48, 3], Operations: ['40-37=3']
Exploring Operation: 48-23=25, Resulting Numbers: [3, 25]
Generated Node #3: [3, 25] from Operation: 48-23=25
Current State: 28:[3, 25], Operations: ['40-37=3', '48-23=25']
Exploring Operation: 3+25=28, Resulting Numbers: [28]
28,28 equal: Goal Reached
| 4 |
[
49,
6,
17,
13
] | 11 | [
"49-13=36",
"36/6=6",
"17-6=11"
] | Current State: 11:[49, 6, 17, 13], Operations: []
Exploring Operation: 49-13=36, Resulting Numbers: [6, 17, 36]
Generated Node #2: [6, 17, 36] from Operation: 49-13=36
Current State: 11:[6, 17, 36], Operations: ['49-13=36']
Exploring Operation: 36/6=6, Resulting Numbers: [17, 6]
Generated Node #3: [17, 6] from Operation: 36/6=6
Current State: 11:[17, 6], Operations: ['49-13=36', '36/6=6']
Exploring Operation: 17-6=11, Resulting Numbers: [11]
11,11 equal: Goal Reached
| 4 |
[
73,
60,
72,
27
] | 88 | [
"73+60=133",
"72-27=45",
"133-45=88"
] | Current State: 88:[73, 60, 72, 27], Operations: []
Exploring Operation: 73+60=133, Resulting Numbers: [72, 27, 133]
Generated Node #2: [72, 27, 133] from Operation: 73+60=133
Current State: 88:[72, 27, 133], Operations: ['73+60=133']
Exploring Operation: 72-27=45, Resulting Numbers: [133, 45]
Generated Node #3: [133, 45] from Operation: 72-27=45
Current State: 88:[133, 45], Operations: ['73+60=133', '72-27=45']
Exploring Operation: 133-45=88, Resulting Numbers: [88]
88,88 equal: Goal Reached
| 4 |
[
66,
42,
35,
86
] | 24 | [
"86-66=20",
"42*20=840",
"840/35=24"
] | Current State: 24:[66, 42, 35, 86], Operations: []
Exploring Operation: 86-66=20, Resulting Numbers: [42, 35, 20]
Generated Node #2: [42, 35, 20] from Operation: 86-66=20
Current State: 24:[42, 35, 20], Operations: ['86-66=20']
Exploring Operation: 42*20=840, Resulting Numbers: [35, 840]
Generated Node #3: [35, 840] from Operation: 42*20=840
Current State: 24:[35, 840], Operations: ['86-66=20', '42*20=840']
Exploring Operation: 840/35=24, Resulting Numbers: [24]
24,24 equal: Goal Reached
| 4 |
[
13,
33,
87,
95
] | 47 | [
"87+95=182",
"182/13=14",
"33+14=47"
] | Current State: 47:[13, 33, 87, 95], Operations: []
Exploring Operation: 87+95=182, Resulting Numbers: [13, 33, 182]
Generated Node #2: [13, 33, 182] from Operation: 87+95=182
Current State: 47:[13, 33, 182], Operations: ['87+95=182']
Exploring Operation: 182/13=14, Resulting Numbers: [33, 14]
Generated Node #3: [33, 14] from Operation: 182/13=14
Current State: 47:[33, 14], Operations: ['87+95=182', '182/13=14']
Exploring Operation: 33+14=47, Resulting Numbers: [47]
47,47 equal: Goal Reached
| 4 |
[
69,
8,
56,
5
] | 34 | [
"56/8=7",
"5*7=35",
"69-35=34"
] | Current State: 34:[69, 8, 56, 5], Operations: []
Exploring Operation: 56/8=7, Resulting Numbers: [69, 5, 7]
Generated Node #2: [69, 5, 7] from Operation: 56/8=7
Current State: 34:[69, 5, 7], Operations: ['56/8=7']
Exploring Operation: 5*7=35, Resulting Numbers: [69, 35]
Generated Node #3: [69, 35] from Operation: 5*7=35
Current State: 34:[69, 35], Operations: ['56/8=7', '5*7=35']
Exploring Operation: 69-35=34, Resulting Numbers: [34]
34,34 equal: Goal Reached
| 4 |
[
96,
56,
79,
89
] | 99 | [
"79+89=168",
"168/56=3",
"96+3=99"
] | Current State: 99:[96, 56, 79, 89], Operations: []
Exploring Operation: 79+89=168, Resulting Numbers: [96, 56, 168]
Generated Node #2: [96, 56, 168] from Operation: 79+89=168
Current State: 99:[96, 56, 168], Operations: ['79+89=168']
Exploring Operation: 168/56=3, Resulting Numbers: [96, 3]
Generated Node #3: [96, 3] from Operation: 168/56=3
Current State: 99:[96, 3], Operations: ['79+89=168', '168/56=3']
Exploring Operation: 96+3=99, Resulting Numbers: [99]
99,99 equal: Goal Reached
| 4 |
[
85,
81,
27,
8
] | 61 | [
"81/27=3",
"8*3=24",
"85-24=61"
] | Current State: 61:[85, 81, 27, 8], Operations: []
Exploring Operation: 81/27=3, Resulting Numbers: [85, 8, 3]
Generated Node #2: [85, 8, 3] from Operation: 81/27=3
Current State: 61:[85, 8, 3], Operations: ['81/27=3']
Exploring Operation: 8*3=24, Resulting Numbers: [85, 24]
Generated Node #3: [85, 24] from Operation: 8*3=24
Current State: 61:[85, 24], Operations: ['81/27=3', '8*3=24']
Exploring Operation: 85-24=61, Resulting Numbers: [61]
61,61 equal: Goal Reached
| 4 |
[
50,
77,
12,
5
] | 10 | [
"77-50=27",
"12+5=17",
"27-17=10"
] | Current State: 10:[50, 77, 12, 5], Operations: []
Exploring Operation: 77-50=27, Resulting Numbers: [12, 5, 27]
Generated Node #2: [12, 5, 27] from Operation: 77-50=27
Current State: 10:[12, 5, 27], Operations: ['77-50=27']
Exploring Operation: 12+5=17, Resulting Numbers: [27, 17]
Generated Node #3: [27, 17] from Operation: 12+5=17
Current State: 10:[27, 17], Operations: ['77-50=27', '12+5=17']
Exploring Operation: 27-17=10, Resulting Numbers: [10]
10,10 equal: Goal Reached
| 4 |
[
21,
24,
9,
99
] | 87 | [
"24-21=3",
"99-9=90",
"90-3=87"
] | Current State: 87:[21, 24, 9, 99], Operations: []
Exploring Operation: 24-21=3, Resulting Numbers: [9, 99, 3]
Generated Node #2: [9, 99, 3] from Operation: 24-21=3
Current State: 87:[9, 99, 3], Operations: ['24-21=3']
Exploring Operation: 99-9=90, Resulting Numbers: [3, 90]
Generated Node #3: [3, 90] from Operation: 99-9=90
Current State: 87:[3, 90], Operations: ['24-21=3', '99-9=90']
Exploring Operation: 90-3=87, Resulting Numbers: [87]
87,87 equal: Goal Reached
| 4 |
[
70,
11,
14,
3
] | 38 | [
"70/14=5",
"11*3=33",
"5+33=38"
] | Current State: 38:[70, 11, 14, 3], Operations: []
Exploring Operation: 70/14=5, Resulting Numbers: [11, 3, 5]
Generated Node #2: [11, 3, 5] from Operation: 70/14=5
Current State: 38:[11, 3, 5], Operations: ['70/14=5']
Exploring Operation: 11*3=33, Resulting Numbers: [5, 33]
Generated Node #3: [5, 33] from Operation: 11*3=33
Current State: 38:[5, 33], Operations: ['70/14=5', '11*3=33']
Exploring Operation: 5+33=38, Resulting Numbers: [38]
38,38 equal: Goal Reached
| 4 |
[
60,
60,
75,
18
] | 56 | [
"60/60=1",
"75-18=57",
"57-1=56"
] | Current State: 56:[60, 60, 75, 18], Operations: []
Exploring Operation: 60/60=1, Resulting Numbers: [75, 18, 1]
Generated Node #2: [75, 18, 1] from Operation: 60/60=1
Current State: 56:[75, 18, 1], Operations: ['60/60=1']
Exploring Operation: 75-18=57, Resulting Numbers: [1, 57]
Generated Node #3: [1, 57] from Operation: 75-18=57
Current State: 56:[1, 57], Operations: ['60/60=1', '75-18=57']
Exploring Operation: 57-1=56, Resulting Numbers: [56]
56,56 equal: Goal Reached
| 4 |
[
70,
23,
23,
17
] | 41 | [
"70-23=47",
"23-17=6",
"47-6=41"
] | Current State: 41:[70, 23, 23, 17], Operations: []
Exploring Operation: 70-23=47, Resulting Numbers: [17, 47]
Generated Node #2: [17, 47] from Operation: 70-23=47
Current State: 41:[17, 47], Operations: ['70-23=47']
Exploring Operation: 23-17=6, Resulting Numbers: [47, 6]
Generated Node #3: [47, 6] from Operation: 23-17=6
Current State: 41:[47, 6], Operations: ['70-23=47', '23-17=6']
Exploring Operation: 47-6=41, Resulting Numbers: [41]
41,41 equal: Goal Reached
| 4 |
[
46,
4,
26,
52
] | 88 | [
"46*52=2392",
"2392/26=92",
"92-4=88"
] | Current State: 88:[46, 4, 26, 52], Operations: []
Exploring Operation: 46*52=2392, Resulting Numbers: [4, 26, 2392]
Generated Node #2: [4, 26, 2392] from Operation: 46*52=2392
Current State: 88:[4, 26, 2392], Operations: ['46*52=2392']
Exploring Operation: 2392/26=92, Resulting Numbers: [4, 92]
Generated Node #3: [4, 92] from Operation: 2392/26=92
Current State: 88:[4, 92], Operations: ['46*52=2392', '2392/26=92']
Exploring Operation: 92-4=88, Resulting Numbers: [88]
88,88 equal: Goal Reached
| 4 |
[
9,
59,
46,
13
] | 17 | [
"59-9=50",
"46-13=33",
"50-33=17"
] | Current State: 17:[9, 59, 46, 13], Operations: []
Exploring Operation: 59-9=50, Resulting Numbers: [46, 13, 50]
Generated Node #2: [46, 13, 50] from Operation: 59-9=50
Current State: 17:[46, 13, 50], Operations: ['59-9=50']
Exploring Operation: 46-13=33, Resulting Numbers: [50, 33]
Generated Node #3: [50, 33] from Operation: 46-13=33
Current State: 17:[50, 33], Operations: ['59-9=50', '46-13=33']
Exploring Operation: 50-33=17, Resulting Numbers: [17]
17,17 equal: Goal Reached
| 4 |
[
26,
76,
20,
18
] | 13 | [
"20+18=38",
"26*38=988",
"988/76=13"
] | Current State: 13:[26, 76, 20, 18], Operations: []
Exploring Operation: 20+18=38, Resulting Numbers: [26, 76, 38]
Generated Node #2: [26, 76, 38] from Operation: 20+18=38
Current State: 13:[26, 76, 38], Operations: ['20+18=38']
Exploring Operation: 26*38=988, Resulting Numbers: [76, 988]
Generated Node #3: [76, 988] from Operation: 26*38=988
Current State: 13:[76, 988], Operations: ['20+18=38', '26*38=988']
Exploring Operation: 988/76=13, Resulting Numbers: [13]
13,13 equal: Goal Reached
| 4 |
[
6,
95,
80,
85
] | 96 | [
"6+95=101",
"85-80=5",
"101-5=96"
] | Current State: 96:[6, 95, 80, 85], Operations: []
Exploring Operation: 6+95=101, Resulting Numbers: [80, 85, 101]
Generated Node #2: [80, 85, 101] from Operation: 6+95=101
Current State: 96:[80, 85, 101], Operations: ['6+95=101']
Exploring Operation: 85-80=5, Resulting Numbers: [101, 5]
Generated Node #3: [101, 5] from Operation: 85-80=5
Current State: 96:[101, 5], Operations: ['6+95=101', '85-80=5']
Exploring Operation: 101-5=96, Resulting Numbers: [96]
96,96 equal: Goal Reached
| 4 |
[
10,
63,
17,
25
] | 33 | [
"63+17=80",
"80/10=8",
"25+8=33"
] | Current State: 33:[10, 63, 17, 25], Operations: []
Exploring Operation: 63+17=80, Resulting Numbers: [10, 25, 80]
Generated Node #2: [10, 25, 80] from Operation: 63+17=80
Current State: 33:[10, 25, 80], Operations: ['63+17=80']
Exploring Operation: 80/10=8, Resulting Numbers: [25, 8]
Generated Node #3: [25, 8] from Operation: 80/10=8
Current State: 33:[25, 8], Operations: ['63+17=80', '80/10=8']
Exploring Operation: 25+8=33, Resulting Numbers: [33]
33,33 equal: Goal Reached
| 4 |
[
10,
40,
77,
45
] | 26 | [
"40+77=117",
"10*117=1170",
"1170/45=26"
] | Current State: 26:[10, 40, 77, 45], Operations: []
Exploring Operation: 40+77=117, Resulting Numbers: [10, 45, 117]
Generated Node #2: [10, 45, 117] from Operation: 40+77=117
Current State: 26:[10, 45, 117], Operations: ['40+77=117']
Exploring Operation: 10*117=1170, Resulting Numbers: [45, 1170]
Generated Node #3: [45, 1170] from Operation: 10*117=1170
Current State: 26:[45, 1170], Operations: ['40+77=117', '10*117=1170']
Exploring Operation: 1170/45=26, Resulting Numbers: [26]
26,26 equal: Goal Reached
| 4 |
[
29,
62,
14,
30
] | 48 | [
"30-29=1",
"62-14=48",
"1*48=48"
] | Current State: 48:[29, 62, 14, 30], Operations: []
Exploring Operation: 30-29=1, Resulting Numbers: [62, 14, 1]
Generated Node #2: [62, 14, 1] from Operation: 30-29=1
Current State: 48:[62, 14, 1], Operations: ['30-29=1']
Exploring Operation: 62-14=48, Resulting Numbers: [1, 48]
Generated Node #3: [1, 48] from Operation: 62-14=48
Current State: 48:[1, 48], Operations: ['30-29=1', '62-14=48']
Exploring Operation: 1*48=48, Resulting Numbers: [48]
48,48 equal: Goal Reached
| 4 |
[
32,
90,
79,
91
] | 48 | [
"32+90=122",
"79+91=170",
"170-122=48"
] | Current State: 48:[32, 90, 79, 91], Operations: []
Exploring Operation: 32+90=122, Resulting Numbers: [79, 91, 122]
Generated Node #2: [79, 91, 122] from Operation: 32+90=122
Current State: 48:[79, 91, 122], Operations: ['32+90=122']
Exploring Operation: 79+91=170, Resulting Numbers: [122, 170]
Generated Node #3: [122, 170] from Operation: 79+91=170
Current State: 48:[122, 170], Operations: ['32+90=122', '79+91=170']
Exploring Operation: 170-122=48, Resulting Numbers: [48]
48,48 equal: Goal Reached
| 4 |
[
9,
89,
83,
23
] | 93 | [
"9+83=92",
"92/23=4",
"89+4=93"
] | Current State: 93:[9, 89, 83, 23], Operations: []
Exploring Operation: 9+83=92, Resulting Numbers: [89, 23, 92]
Generated Node #2: [89, 23, 92] from Operation: 9+83=92
Current State: 93:[89, 23, 92], Operations: ['9+83=92']
Exploring Operation: 92/23=4, Resulting Numbers: [89, 4]
Generated Node #3: [89, 4] from Operation: 92/23=4
Current State: 93:[89, 4], Operations: ['9+83=92', '92/23=4']
Exploring Operation: 89+4=93, Resulting Numbers: [93]
93,93 equal: Goal Reached
| 4 |
[
76,
94,
19,
50
] | 87 | [
"94-76=18",
"19+50=69",
"18+69=87"
] | Current State: 87:[76, 94, 19, 50], Operations: []
Exploring Operation: 94-76=18, Resulting Numbers: [19, 50, 18]
Generated Node #2: [19, 50, 18] from Operation: 94-76=18
Current State: 87:[19, 50, 18], Operations: ['94-76=18']
Exploring Operation: 19+50=69, Resulting Numbers: [18, 69]
Generated Node #3: [18, 69] from Operation: 19+50=69
Current State: 87:[18, 69], Operations: ['94-76=18', '19+50=69']
Exploring Operation: 18+69=87, Resulting Numbers: [87]
87,87 equal: Goal Reached
| 4 |
[
58,
38,
60,
65
] | 68 | [
"58-38=20",
"60/20=3",
"65+3=68"
] | Current State: 68:[58, 38, 60, 65], Operations: []
Exploring Operation: 58-38=20, Resulting Numbers: [60, 65, 20]
Generated Node #2: [60, 65, 20] from Operation: 58-38=20
Current State: 68:[60, 65, 20], Operations: ['58-38=20']
Exploring Operation: 60/20=3, Resulting Numbers: [65, 3]
Generated Node #3: [65, 3] from Operation: 60/20=3
Current State: 68:[65, 3], Operations: ['58-38=20', '60/20=3']
Exploring Operation: 65+3=68, Resulting Numbers: [68]
68,68 equal: Goal Reached
| 4 |
[
33,
86,
13,
46
] | 91 | [
"86-33=53",
"53-46=7",
"13*7=91"
] | Current State: 91:[33, 86, 13, 46], Operations: []
Exploring Operation: 86-33=53, Resulting Numbers: [13, 46, 53]
Generated Node #2: [13, 46, 53] from Operation: 86-33=53
Current State: 91:[13, 46, 53], Operations: ['86-33=53']
Exploring Operation: 53-46=7, Resulting Numbers: [13, 7]
Generated Node #3: [13, 7] from Operation: 53-46=7
Current State: 91:[13, 7], Operations: ['86-33=53', '53-46=7']
Exploring Operation: 13*7=91, Resulting Numbers: [91]
91,91 equal: Goal Reached
| 4 |
[
4,
3,
21,
29
] | 56 | [
"4+3=7",
"29-21=8",
"7*8=56"
] | Current State: 56:[4, 3, 21, 29], Operations: []
Exploring Operation: 4+3=7, Resulting Numbers: [21, 29, 7]
Generated Node #2: [21, 29, 7] from Operation: 4+3=7
Current State: 56:[21, 29, 7], Operations: ['4+3=7']
Exploring Operation: 29-21=8, Resulting Numbers: [7, 8]
Generated Node #3: [7, 8] from Operation: 29-21=8
Current State: 56:[7, 8], Operations: ['4+3=7', '29-21=8']
Exploring Operation: 7*8=56, Resulting Numbers: [56]
56,56 equal: Goal Reached
| 4 |
[
18,
33,
29,
72
] | 16 | [
"72/18=4",
"33-29=4",
"4*4=16"
] | Current State: 16:[18, 33, 29, 72], Operations: []
Exploring Operation: 72/18=4, Resulting Numbers: [33, 29, 4]
Generated Node #2: [33, 29, 4] from Operation: 72/18=4
Current State: 16:[33, 29, 4], Operations: ['72/18=4']
Exploring Operation: 33-29=4, Resulting Numbers: [4, 4]
Generated Node #3: [4, 4] from Operation: 33-29=4
Current State: 16:[4, 4], Operations: ['72/18=4', '33-29=4']
Exploring Operation: 4*4=16, Resulting Numbers: [16]
16,16 equal: Goal Reached
| 4 |
[
42,
25,
13,
76
] | 84 | [
"42*76=3192",
"25+13=38",
"3192/38=84"
] | Current State: 84:[42, 25, 13, 76], Operations: []
Exploring Operation: 42*76=3192, Resulting Numbers: [25, 13, 3192]
Generated Node #2: [25, 13, 3192] from Operation: 42*76=3192
Current State: 84:[25, 13, 3192], Operations: ['42*76=3192']
Exploring Operation: 25+13=38, Resulting Numbers: [3192, 38]
Generated Node #3: [3192, 38] from Operation: 25+13=38
Current State: 84:[3192, 38], Operations: ['42*76=3192', '25+13=38']
Exploring Operation: 3192/38=84, Resulting Numbers: [84]
84,84 equal: Goal Reached
| 4 |
[
53,
66,
17,
82
] | 75 | [
"53+66=119",
"119/17=7",
"82-7=75"
] | Current State: 75:[53, 66, 17, 82], Operations: []
Exploring Operation: 53+66=119, Resulting Numbers: [17, 82, 119]
Generated Node #2: [17, 82, 119] from Operation: 53+66=119
Current State: 75:[17, 82, 119], Operations: ['53+66=119']
Exploring Operation: 119/17=7, Resulting Numbers: [82, 7]
Generated Node #3: [82, 7] from Operation: 119/17=7
Current State: 75:[82, 7], Operations: ['53+66=119', '119/17=7']
Exploring Operation: 82-7=75, Resulting Numbers: [75]
75,75 equal: Goal Reached
| 4 |
[
30,
62,
28,
10
] | 37 | [
"30/10=3",
"62-28=34",
"3+34=37"
] | Current State: 37:[30, 62, 28, 10], Operations: []
Exploring Operation: 30/10=3, Resulting Numbers: [62, 28, 3]
Generated Node #2: [62, 28, 3] from Operation: 30/10=3
Current State: 37:[62, 28, 3], Operations: ['30/10=3']
Exploring Operation: 62-28=34, Resulting Numbers: [3, 34]
Generated Node #3: [3, 34] from Operation: 62-28=34
Current State: 37:[3, 34], Operations: ['30/10=3', '62-28=34']
Exploring Operation: 3+34=37, Resulting Numbers: [37]
37,37 equal: Goal Reached
| 4 |
[
4,
10,
93,
26
] | 97 | [
"26-10=16",
"16/4=4",
"93+4=97"
] | Current State: 97:[4, 10, 93, 26], Operations: []
Exploring Operation: 26-10=16, Resulting Numbers: [4, 93, 16]
Generated Node #2: [4, 93, 16] from Operation: 26-10=16
Current State: 97:[4, 93, 16], Operations: ['26-10=16']
Exploring Operation: 16/4=4, Resulting Numbers: [93, 4]
Generated Node #3: [93, 4] from Operation: 16/4=4
Current State: 97:[93, 4], Operations: ['26-10=16', '16/4=4']
Exploring Operation: 93+4=97, Resulting Numbers: [97]
97,97 equal: Goal Reached
| 4 |
[
10,
4,
68,
99
] | 25 | [
"10-4=6",
"99-68=31",
"31-6=25"
] | Current State: 25:[10, 4, 68, 99], Operations: []
Exploring Operation: 10-4=6, Resulting Numbers: [68, 99, 6]
Generated Node #2: [68, 99, 6] from Operation: 10-4=6
Current State: 25:[68, 99, 6], Operations: ['10-4=6']
Exploring Operation: 99-68=31, Resulting Numbers: [6, 31]
Generated Node #3: [6, 31] from Operation: 99-68=31
Current State: 25:[6, 31], Operations: ['10-4=6', '99-68=31']
Exploring Operation: 31-6=25, Resulting Numbers: [25]
25,25 equal: Goal Reached
| 4 |
[
30,
85,
75,
12
] | 36 | [
"30*12=360",
"85-75=10",
"360/10=36"
] | Current State: 36:[30, 85, 75, 12], Operations: []
Exploring Operation: 30*12=360, Resulting Numbers: [85, 75, 360]
Generated Node #2: [85, 75, 360] from Operation: 30*12=360
Current State: 36:[85, 75, 360], Operations: ['30*12=360']
Exploring Operation: 85-75=10, Resulting Numbers: [360, 10]
Generated Node #3: [360, 10] from Operation: 85-75=10
Current State: 36:[360, 10], Operations: ['30*12=360', '85-75=10']
Exploring Operation: 360/10=36, Resulting Numbers: [36]
36,36 equal: Goal Reached
| 4 |
[
61,
40,
33,
89
] | 38 | [
"33+89=122",
"122/61=2",
"40-2=38"
] | Current State: 38:[61, 40, 33, 89], Operations: []
Exploring Operation: 33+89=122, Resulting Numbers: [61, 40, 122]
Generated Node #2: [61, 40, 122] from Operation: 33+89=122
Current State: 38:[61, 40, 122], Operations: ['33+89=122']
Exploring Operation: 122/61=2, Resulting Numbers: [40, 2]
Generated Node #3: [40, 2] from Operation: 122/61=2
Current State: 38:[40, 2], Operations: ['33+89=122', '122/61=2']
Exploring Operation: 40-2=38, Resulting Numbers: [38]
38,38 equal: Goal Reached
| 4 |
[
63,
37,
45,
58
] | 77 | [
"63-37=26",
"45+58=103",
"103-26=77"
] | Current State: 77:[63, 37, 45, 58], Operations: []
Exploring Operation: 63-37=26, Resulting Numbers: [45, 58, 26]
Generated Node #2: [45, 58, 26] from Operation: 63-37=26
Current State: 77:[45, 58, 26], Operations: ['63-37=26']
Exploring Operation: 45+58=103, Resulting Numbers: [26, 103]
Generated Node #3: [26, 103] from Operation: 45+58=103
Current State: 77:[26, 103], Operations: ['63-37=26', '45+58=103']
Exploring Operation: 103-26=77, Resulting Numbers: [77]
77,77 equal: Goal Reached
| 4 |
[
46,
85,
3,
14
] | 79 | [
"85+14=99",
"99/3=33",
"46+33=79"
] | Current State: 79:[46, 85, 3, 14], Operations: []
Exploring Operation: 85+14=99, Resulting Numbers: [46, 3, 99]
Generated Node #2: [46, 3, 99] from Operation: 85+14=99
Current State: 79:[46, 3, 99], Operations: ['85+14=99']
Exploring Operation: 99/3=33, Resulting Numbers: [46, 33]
Generated Node #3: [46, 33] from Operation: 99/3=33
Current State: 79:[46, 33], Operations: ['85+14=99', '99/3=33']
Exploring Operation: 46+33=79, Resulting Numbers: [79]
79,79 equal: Goal Reached
| 4 |
[
95,
76,
89,
90
] | 91 | [
"95-89=6",
"90/6=15",
"76+15=91"
] | Current State: 91:[95, 76, 89, 90], Operations: []
Exploring Operation: 95-89=6, Resulting Numbers: [76, 90, 6]
Generated Node #2: [76, 90, 6] from Operation: 95-89=6
Current State: 91:[76, 90, 6], Operations: ['95-89=6']
Exploring Operation: 90/6=15, Resulting Numbers: [76, 15]
Generated Node #3: [76, 15] from Operation: 90/6=15
Current State: 91:[76, 15], Operations: ['95-89=6', '90/6=15']
Exploring Operation: 76+15=91, Resulting Numbers: [91]
91,91 equal: Goal Reached
| 4 |
[
18,
13,
11,
63
] | 14 | [
"63-11=52",
"52/13=4",
"18-4=14"
] | Current State: 14:[18, 13, 11, 63], Operations: []
Exploring Operation: 63-11=52, Resulting Numbers: [18, 13, 52]
Generated Node #2: [18, 13, 52] from Operation: 63-11=52
Current State: 14:[18, 13, 52], Operations: ['63-11=52']
Exploring Operation: 52/13=4, Resulting Numbers: [18, 4]
Generated Node #3: [18, 4] from Operation: 52/13=4
Current State: 14:[18, 4], Operations: ['63-11=52', '52/13=4']
Exploring Operation: 18-4=14, Resulting Numbers: [14]
14,14 equal: Goal Reached
| 4 |
[
21,
52,
23,
8
] | 88 | [
"21+52=73",
"23-8=15",
"73+15=88"
] | Current State: 88:[21, 52, 23, 8], Operations: []
Exploring Operation: 21+52=73, Resulting Numbers: [23, 8, 73]
Generated Node #2: [23, 8, 73] from Operation: 21+52=73
Current State: 88:[23, 8, 73], Operations: ['21+52=73']
Exploring Operation: 23-8=15, Resulting Numbers: [73, 15]
Generated Node #3: [73, 15] from Operation: 23-8=15
Current State: 88:[73, 15], Operations: ['21+52=73', '23-8=15']
Exploring Operation: 73+15=88, Resulting Numbers: [88]
88,88 equal: Goal Reached
| 4 |
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