nums listlengths 4 4 | target int64 10 100 | solution listlengths 3 3 | optimal_path stringlengths 282 529 | start_size int64 4 4 |
|---|---|---|---|---|
[
16,
78,
43,
39
] | 14 | [
"43-39=4",
"16*4=64",
"78-64=14"
] | Current State: 14:[16, 78, 43, 39], Operations: []
Exploring Operation: 43-39=4, Resulting Numbers: [16, 78, 4]
Generated Node #2: [16, 78, 4] from Operation: 43-39=4
Current State: 14:[16, 78, 4], Operations: ['43-39=4']
Exploring Operation: 16*4=64, Resulting Numbers: [78, 64]
Generated Node #3: [78, 64] from Operation: 16*4=64
Current State: 14:[78, 64], Operations: ['43-39=4', '16*4=64']
Exploring Operation: 78-64=14, Resulting Numbers: [14]
14,14 equal: Goal Reached
| 4 |
[
32,
13,
5,
70
] | 77 | [
"32*5=160",
"13+70=83",
"160-83=77"
] | Current State: 77:[32, 13, 5, 70], Operations: []
Exploring Operation: 32*5=160, Resulting Numbers: [13, 70, 160]
Generated Node #2: [13, 70, 160] from Operation: 32*5=160
Current State: 77:[13, 70, 160], Operations: ['32*5=160']
Exploring Operation: 13+70=83, Resulting Numbers: [160, 83]
Generated Node #3: [160, 83] from Operation: 13+70=83
Current State: 77:[160, 83], Operations: ['32*5=160', '13+70=83']
Exploring Operation: 160-83=77, Resulting Numbers: [77]
77,77 equal: Goal Reached
| 4 |
[
5,
4,
19,
35
] | 36 | [
"5*4=20",
"35-19=16",
"20+16=36"
] | Current State: 36:[5, 4, 19, 35], Operations: []
Exploring Operation: 5*4=20, Resulting Numbers: [19, 35, 20]
Generated Node #2: [19, 35, 20] from Operation: 5*4=20
Current State: 36:[19, 35, 20], Operations: ['5*4=20']
Exploring Operation: 35-19=16, Resulting Numbers: [20, 16]
Generated Node #3: [20, 16] from Operation: 35-19=16
Current State: 36:[20, 16], Operations: ['5*4=20', '35-19=16']
Exploring Operation: 20+16=36, Resulting Numbers: [36]
36,36 equal: Goal Reached
| 4 |
[
93,
12,
23,
91
] | 96 | [
"93+91=184",
"12*184=2208",
"2208/23=96"
] | Current State: 96:[93, 12, 23, 91], Operations: []
Exploring Operation: 93+91=184, Resulting Numbers: [12, 23, 184]
Generated Node #2: [12, 23, 184] from Operation: 93+91=184
Current State: 96:[12, 23, 184], Operations: ['93+91=184']
Exploring Operation: 12*184=2208, Resulting Numbers: [23, 2208]
Generated Node #3: [23, 2208] from Operation: 12*184=2208
Current State: 96:[23, 2208], Operations: ['93+91=184', '12*184=2208']
Exploring Operation: 2208/23=96, Resulting Numbers: [96]
96,96 equal: Goal Reached
| 4 |
[
82,
66,
63,
15
] | 64 | [
"82-66=16",
"63-15=48",
"16+48=64"
] | Current State: 64:[82, 66, 63, 15], Operations: []
Exploring Operation: 82-66=16, Resulting Numbers: [63, 15, 16]
Generated Node #2: [63, 15, 16] from Operation: 82-66=16
Current State: 64:[63, 15, 16], Operations: ['82-66=16']
Exploring Operation: 63-15=48, Resulting Numbers: [16, 48]
Generated Node #3: [16, 48] from Operation: 63-15=48
Current State: 64:[16, 48], Operations: ['82-66=16', '63-15=48']
Exploring Operation: 16+48=64, Resulting Numbers: [64]
64,64 equal: Goal Reached
| 4 |
[
2,
87,
22,
60
] | 35 | [
"60/2=30",
"87-22=65",
"65-30=35"
] | Current State: 35:[2, 87, 22, 60], Operations: []
Exploring Operation: 60/2=30, Resulting Numbers: [87, 22, 30]
Generated Node #2: [87, 22, 30] from Operation: 60/2=30
Current State: 35:[87, 22, 30], Operations: ['60/2=30']
Exploring Operation: 87-22=65, Resulting Numbers: [30, 65]
Generated Node #3: [30, 65] from Operation: 87-22=65
Current State: 35:[30, 65], Operations: ['60/2=30', '87-22=65']
Exploring Operation: 65-30=35, Resulting Numbers: [35]
35,35 equal: Goal Reached
| 4 |
[
51,
21,
2,
66
] | 94 | [
"51-21=30",
"66-2=64",
"30+64=94"
] | Current State: 94:[51, 21, 2, 66], Operations: []
Exploring Operation: 51-21=30, Resulting Numbers: [2, 66, 30]
Generated Node #2: [2, 66, 30] from Operation: 51-21=30
Current State: 94:[2, 66, 30], Operations: ['51-21=30']
Exploring Operation: 66-2=64, Resulting Numbers: [30, 64]
Generated Node #3: [30, 64] from Operation: 66-2=64
Current State: 94:[30, 64], Operations: ['51-21=30', '66-2=64']
Exploring Operation: 30+64=94, Resulting Numbers: [94]
94,94 equal: Goal Reached
| 4 |
[
99,
56,
51,
14
] | 80 | [
"99-56=43",
"51-14=37",
"43+37=80"
] | Current State: 80:[99, 56, 51, 14], Operations: []
Exploring Operation: 99-56=43, Resulting Numbers: [51, 14, 43]
Generated Node #2: [51, 14, 43] from Operation: 99-56=43
Current State: 80:[51, 14, 43], Operations: ['99-56=43']
Exploring Operation: 51-14=37, Resulting Numbers: [43, 37]
Generated Node #3: [43, 37] from Operation: 51-14=37
Current State: 80:[43, 37], Operations: ['99-56=43', '51-14=37']
Exploring Operation: 43+37=80, Resulting Numbers: [80]
80,80 equal: Goal Reached
| 4 |
[
49,
27,
46,
43
] | 48 | [
"49-46=3",
"43-27=16",
"3*16=48"
] | Current State: 48:[49, 27, 46, 43], Operations: []
Exploring Operation: 49-46=3, Resulting Numbers: [27, 43, 3]
Generated Node #2: [27, 43, 3] from Operation: 49-46=3
Current State: 48:[27, 43, 3], Operations: ['49-46=3']
Exploring Operation: 43-27=16, Resulting Numbers: [3, 16]
Generated Node #3: [3, 16] from Operation: 43-27=16
Current State: 48:[3, 16], Operations: ['49-46=3', '43-27=16']
Exploring Operation: 3*16=48, Resulting Numbers: [48]
48,48 equal: Goal Reached
| 4 |
[
19,
66,
76,
96
] | 26 | [
"76/19=4",
"96-66=30",
"30-4=26"
] | Current State: 26:[19, 66, 76, 96], Operations: []
Exploring Operation: 76/19=4, Resulting Numbers: [66, 96, 4]
Generated Node #2: [66, 96, 4] from Operation: 76/19=4
Current State: 26:[66, 96, 4], Operations: ['76/19=4']
Exploring Operation: 96-66=30, Resulting Numbers: [4, 30]
Generated Node #3: [4, 30] from Operation: 96-66=30
Current State: 26:[4, 30], Operations: ['76/19=4', '96-66=30']
Exploring Operation: 30-4=26, Resulting Numbers: [26]
26,26 equal: Goal Reached
| 4 |
[
20,
34,
52,
94
] | 92 | [
"20+34=54",
"52+94=146",
"146-54=92"
] | Current State: 92:[20, 34, 52, 94], Operations: []
Exploring Operation: 20+34=54, Resulting Numbers: [52, 94, 54]
Generated Node #2: [52, 94, 54] from Operation: 20+34=54
Current State: 92:[52, 94, 54], Operations: ['20+34=54']
Exploring Operation: 52+94=146, Resulting Numbers: [54, 146]
Generated Node #3: [54, 146] from Operation: 52+94=146
Current State: 92:[54, 146], Operations: ['20+34=54', '52+94=146']
Exploring Operation: 146-54=92, Resulting Numbers: [92]
92,92 equal: Goal Reached
| 4 |
[
7,
29,
53,
10
] | 34 | [
"10-7=3",
"29*3=87",
"87-53=34"
] | Current State: 34:[7, 29, 53, 10], Operations: []
Exploring Operation: 10-7=3, Resulting Numbers: [29, 53, 3]
Generated Node #2: [29, 53, 3] from Operation: 10-7=3
Current State: 34:[29, 53, 3], Operations: ['10-7=3']
Exploring Operation: 29*3=87, Resulting Numbers: [53, 87]
Generated Node #3: [53, 87] from Operation: 29*3=87
Current State: 34:[53, 87], Operations: ['10-7=3', '29*3=87']
Exploring Operation: 87-53=34, Resulting Numbers: [34]
34,34 equal: Goal Reached
| 4 |
[
60,
16,
87,
2
] | 49 | [
"60+16=76",
"76/2=38",
"87-38=49"
] | Current State: 49:[60, 16, 87, 2], Operations: []
Exploring Operation: 60+16=76, Resulting Numbers: [87, 2, 76]
Generated Node #2: [87, 2, 76] from Operation: 60+16=76
Current State: 49:[87, 2, 76], Operations: ['60+16=76']
Exploring Operation: 76/2=38, Resulting Numbers: [87, 38]
Generated Node #3: [87, 38] from Operation: 76/2=38
Current State: 49:[87, 38], Operations: ['60+16=76', '76/2=38']
Exploring Operation: 87-38=49, Resulting Numbers: [49]
49,49 equal: Goal Reached
| 4 |
[
3,
4,
42,
33
] | 86 | [
"33/3=11",
"4*11=44",
"42+44=86"
] | Current State: 86:[3, 4, 42, 33], Operations: []
Exploring Operation: 33/3=11, Resulting Numbers: [4, 42, 11]
Generated Node #2: [4, 42, 11] from Operation: 33/3=11
Current State: 86:[4, 42, 11], Operations: ['33/3=11']
Exploring Operation: 4*11=44, Resulting Numbers: [42, 44]
Generated Node #3: [42, 44] from Operation: 4*11=44
Current State: 86:[42, 44], Operations: ['33/3=11', '4*11=44']
Exploring Operation: 42+44=86, Resulting Numbers: [86]
86,86 equal: Goal Reached
| 4 |
[
6,
4,
31,
68
] | 42 | [
"31-6=25",
"68/4=17",
"25+17=42"
] | Current State: 42:[6, 4, 31, 68], Operations: []
Exploring Operation: 31-6=25, Resulting Numbers: [4, 68, 25]
Generated Node #2: [4, 68, 25] from Operation: 31-6=25
Current State: 42:[4, 68, 25], Operations: ['31-6=25']
Exploring Operation: 68/4=17, Resulting Numbers: [25, 17]
Generated Node #3: [25, 17] from Operation: 68/4=17
Current State: 42:[25, 17], Operations: ['31-6=25', '68/4=17']
Exploring Operation: 25+17=42, Resulting Numbers: [42]
42,42 equal: Goal Reached
| 4 |
[
98,
12,
11,
14
] | 94 | [
"14-11=3",
"12/3=4",
"98-4=94"
] | Current State: 94:[98, 12, 11, 14], Operations: []
Exploring Operation: 14-11=3, Resulting Numbers: [98, 12, 3]
Generated Node #2: [98, 12, 3] from Operation: 14-11=3
Current State: 94:[98, 12, 3], Operations: ['14-11=3']
Exploring Operation: 12/3=4, Resulting Numbers: [98, 4]
Generated Node #3: [98, 4] from Operation: 12/3=4
Current State: 94:[98, 4], Operations: ['14-11=3', '12/3=4']
Exploring Operation: 98-4=94, Resulting Numbers: [94]
94,94 equal: Goal Reached
| 4 |
[
2,
78,
11,
46
] | 40 | [
"2+11=13",
"78/13=6",
"46-6=40"
] | Current State: 40:[2, 78, 11, 46], Operations: []
Exploring Operation: 2+11=13, Resulting Numbers: [78, 46, 13]
Generated Node #2: [78, 46, 13] from Operation: 2+11=13
Current State: 40:[78, 46, 13], Operations: ['2+11=13']
Exploring Operation: 78/13=6, Resulting Numbers: [46, 6]
Generated Node #3: [46, 6] from Operation: 78/13=6
Current State: 40:[46, 6], Operations: ['2+11=13', '78/13=6']
Exploring Operation: 46-6=40, Resulting Numbers: [40]
40,40 equal: Goal Reached
| 4 |
[
40,
3,
28,
87
] | 33 | [
"40-28=12",
"87+12=99",
"99/3=33"
] | Current State: 33:[40, 3, 28, 87], Operations: []
Exploring Operation: 40-28=12, Resulting Numbers: [3, 87, 12]
Generated Node #2: [3, 87, 12] from Operation: 40-28=12
Current State: 33:[3, 87, 12], Operations: ['40-28=12']
Exploring Operation: 87+12=99, Resulting Numbers: [3, 99]
Generated Node #3: [3, 99] from Operation: 87+12=99
Current State: 33:[3, 99], Operations: ['40-28=12', '87+12=99']
Exploring Operation: 99/3=33, Resulting Numbers: [33]
33,33 equal: Goal Reached
| 4 |
[
30,
12,
26,
58
] | 24 | [
"30+26=56",
"58-56=2",
"12*2=24"
] | Current State: 24:[30, 12, 26, 58], Operations: []
Exploring Operation: 30+26=56, Resulting Numbers: [12, 58, 56]
Generated Node #2: [12, 58, 56] from Operation: 30+26=56
Current State: 24:[12, 58, 56], Operations: ['30+26=56']
Exploring Operation: 58-56=2, Resulting Numbers: [12, 2]
Generated Node #3: [12, 2] from Operation: 58-56=2
Current State: 24:[12, 2], Operations: ['30+26=56', '58-56=2']
Exploring Operation: 12*2=24, Resulting Numbers: [24]
24,24 equal: Goal Reached
| 4 |
[
42,
79,
4,
62
] | 53 | [
"42+62=104",
"104/4=26",
"79-26=53"
] | Current State: 53:[42, 79, 4, 62], Operations: []
Exploring Operation: 42+62=104, Resulting Numbers: [79, 4, 104]
Generated Node #2: [79, 4, 104] from Operation: 42+62=104
Current State: 53:[79, 4, 104], Operations: ['42+62=104']
Exploring Operation: 104/4=26, Resulting Numbers: [79, 26]
Generated Node #3: [79, 26] from Operation: 104/4=26
Current State: 53:[79, 26], Operations: ['42+62=104', '104/4=26']
Exploring Operation: 79-26=53, Resulting Numbers: [53]
53,53 equal: Goal Reached
| 4 |
[
3,
19,
92,
1
] | 32 | [
"19+1=20",
"3*20=60",
"92-60=32"
] | Current State: 32:[3, 19, 92, 1], Operations: []
Exploring Operation: 19+1=20, Resulting Numbers: [3, 92, 20]
Generated Node #2: [3, 92, 20] from Operation: 19+1=20
Current State: 32:[3, 92, 20], Operations: ['19+1=20']
Exploring Operation: 3*20=60, Resulting Numbers: [92, 60]
Generated Node #3: [92, 60] from Operation: 3*20=60
Current State: 32:[92, 60], Operations: ['19+1=20', '3*20=60']
Exploring Operation: 92-60=32, Resulting Numbers: [32]
32,32 equal: Goal Reached
| 4 |
[
52,
4,
80,
53
] | 60 | [
"80-52=28",
"28/4=7",
"53+7=60"
] | Current State: 60:[52, 4, 80, 53], Operations: []
Exploring Operation: 80-52=28, Resulting Numbers: [4, 53, 28]
Generated Node #2: [4, 53, 28] from Operation: 80-52=28
Current State: 60:[4, 53, 28], Operations: ['80-52=28']
Exploring Operation: 28/4=7, Resulting Numbers: [53, 7]
Generated Node #3: [53, 7] from Operation: 28/4=7
Current State: 60:[53, 7], Operations: ['80-52=28', '28/4=7']
Exploring Operation: 53+7=60, Resulting Numbers: [60]
60,60 equal: Goal Reached
| 4 |
[
47,
85,
1,
87
] | 50 | [
"85-47=38",
"1+87=88",
"88-38=50"
] | Current State: 50:[47, 85, 1, 87], Operations: []
Exploring Operation: 85-47=38, Resulting Numbers: [1, 87, 38]
Generated Node #2: [1, 87, 38] from Operation: 85-47=38
Current State: 50:[1, 87, 38], Operations: ['85-47=38']
Exploring Operation: 1+87=88, Resulting Numbers: [38, 88]
Generated Node #3: [38, 88] from Operation: 1+87=88
Current State: 50:[38, 88], Operations: ['85-47=38', '1+87=88']
Exploring Operation: 88-38=50, Resulting Numbers: [50]
50,50 equal: Goal Reached
| 4 |
[
8,
17,
96,
16
] | 55 | [
"8+17=25",
"96-16=80",
"80-25=55"
] | Current State: 55:[8, 17, 96, 16], Operations: []
Exploring Operation: 8+17=25, Resulting Numbers: [96, 16, 25]
Generated Node #2: [96, 16, 25] from Operation: 8+17=25
Current State: 55:[96, 16, 25], Operations: ['8+17=25']
Exploring Operation: 96-16=80, Resulting Numbers: [25, 80]
Generated Node #3: [25, 80] from Operation: 96-16=80
Current State: 55:[25, 80], Operations: ['8+17=25', '96-16=80']
Exploring Operation: 80-25=55, Resulting Numbers: [55]
55,55 equal: Goal Reached
| 4 |
[
35,
59,
57,
18
] | 76 | [
"59-35=24",
"57*24=1368",
"1368/18=76"
] | Current State: 76:[35, 59, 57, 18], Operations: []
Exploring Operation: 59-35=24, Resulting Numbers: [57, 18, 24]
Generated Node #2: [57, 18, 24] from Operation: 59-35=24
Current State: 76:[57, 18, 24], Operations: ['59-35=24']
Exploring Operation: 57*24=1368, Resulting Numbers: [18, 1368]
Generated Node #3: [18, 1368] from Operation: 57*24=1368
Current State: 76:[18, 1368], Operations: ['59-35=24', '57*24=1368']
Exploring Operation: 1368/18=76, Resulting Numbers: [76]
76,76 equal: Goal Reached
| 4 |
[
24,
9,
21,
68
] | 41 | [
"24-21=3",
"9*3=27",
"68-27=41"
] | Current State: 41:[24, 9, 21, 68], Operations: []
Exploring Operation: 24-21=3, Resulting Numbers: [9, 68, 3]
Generated Node #2: [9, 68, 3] from Operation: 24-21=3
Current State: 41:[9, 68, 3], Operations: ['24-21=3']
Exploring Operation: 9*3=27, Resulting Numbers: [68, 27]
Generated Node #3: [68, 27] from Operation: 9*3=27
Current State: 41:[68, 27], Operations: ['24-21=3', '9*3=27']
Exploring Operation: 68-27=41, Resulting Numbers: [41]
41,41 equal: Goal Reached
| 4 |
[
78,
63,
36,
80
] | 90 | [
"80-78=2",
"63*2=126",
"126-36=90"
] | Current State: 90:[78, 63, 36, 80], Operations: []
Exploring Operation: 80-78=2, Resulting Numbers: [63, 36, 2]
Generated Node #2: [63, 36, 2] from Operation: 80-78=2
Current State: 90:[63, 36, 2], Operations: ['80-78=2']
Exploring Operation: 63*2=126, Resulting Numbers: [36, 126]
Generated Node #3: [36, 126] from Operation: 63*2=126
Current State: 90:[36, 126], Operations: ['80-78=2', '63*2=126']
Exploring Operation: 126-36=90, Resulting Numbers: [90]
90,90 equal: Goal Reached
| 4 |
[
3,
87,
34,
76
] | 67 | [
"87-76=11",
"3*11=33",
"34+33=67"
] | Current State: 67:[3, 87, 34, 76], Operations: []
Exploring Operation: 87-76=11, Resulting Numbers: [3, 34, 11]
Generated Node #2: [3, 34, 11] from Operation: 87-76=11
Current State: 67:[3, 34, 11], Operations: ['87-76=11']
Exploring Operation: 3*11=33, Resulting Numbers: [34, 33]
Generated Node #3: [34, 33] from Operation: 3*11=33
Current State: 67:[34, 33], Operations: ['87-76=11', '3*11=33']
Exploring Operation: 34+33=67, Resulting Numbers: [67]
67,67 equal: Goal Reached
| 4 |
[
88,
16,
21,
22
] | 22 | [
"88+22=110",
"21-16=5",
"110/5=22"
] | Current State: 22:[88, 16, 21, 22], Operations: []
Exploring Operation: 88+22=110, Resulting Numbers: [16, 21, 110]
Generated Node #2: [16, 21, 110] from Operation: 88+22=110
Current State: 22:[16, 21, 110], Operations: ['88+22=110']
Exploring Operation: 21-16=5, Resulting Numbers: [110, 5]
Generated Node #3: [110, 5] from Operation: 21-16=5
Current State: 22:[110, 5], Operations: ['88+22=110', '21-16=5']
Exploring Operation: 110/5=22, Resulting Numbers: [22]
22,22 equal: Goal Reached
| 4 |
[
54,
79,
96,
3
] | 87 | [
"54+96=150",
"79*3=237",
"237-150=87"
] | Current State: 87:[54, 79, 96, 3], Operations: []
Exploring Operation: 54+96=150, Resulting Numbers: [79, 3, 150]
Generated Node #2: [79, 3, 150] from Operation: 54+96=150
Current State: 87:[79, 3, 150], Operations: ['54+96=150']
Exploring Operation: 79*3=237, Resulting Numbers: [150, 237]
Generated Node #3: [150, 237] from Operation: 79*3=237
Current State: 87:[150, 237], Operations: ['54+96=150', '79*3=237']
Exploring Operation: 237-150=87, Resulting Numbers: [87]
87,87 equal: Goal Reached
| 4 |
[
10,
2,
32,
49
] | 89 | [
"10-2=8",
"32+49=81",
"8+81=89"
] | Current State: 89:[10, 2, 32, 49], Operations: []
Exploring Operation: 10-2=8, Resulting Numbers: [32, 49, 8]
Generated Node #2: [32, 49, 8] from Operation: 10-2=8
Current State: 89:[32, 49, 8], Operations: ['10-2=8']
Exploring Operation: 32+49=81, Resulting Numbers: [8, 81]
Generated Node #3: [8, 81] from Operation: 32+49=81
Current State: 89:[8, 81], Operations: ['10-2=8', '32+49=81']
Exploring Operation: 8+81=89, Resulting Numbers: [89]
89,89 equal: Goal Reached
| 4 |
[
20,
74,
34,
74
] | 20 | [
"74-74=0",
"34*0=0",
"20+0=20"
] | Current State: 20:[20, 74, 34, 74], Operations: []
Exploring Operation: 74-74=0, Resulting Numbers: [20, 34, 0]
Generated Node #2: [20, 34, 0] from Operation: 74-74=0
Current State: 20:[20, 34, 0], Operations: ['74-74=0']
Exploring Operation: 34*0=0, Resulting Numbers: [20, 0]
Generated Node #3: [20, 0] from Operation: 34*0=0
Current State: 20:[20, 0], Operations: ['74-74=0', '34*0=0']
Exploring Operation: 20+0=20, Resulting Numbers: [20]
20,20 equal: Goal Reached
| 4 |
[
2,
79,
22,
18
] | 81 | [
"79-2=77",
"22-18=4",
"77+4=81"
] | Current State: 81:[2, 79, 22, 18], Operations: []
Exploring Operation: 79-2=77, Resulting Numbers: [22, 18, 77]
Generated Node #2: [22, 18, 77] from Operation: 79-2=77
Current State: 81:[22, 18, 77], Operations: ['79-2=77']
Exploring Operation: 22-18=4, Resulting Numbers: [77, 4]
Generated Node #3: [77, 4] from Operation: 22-18=4
Current State: 81:[77, 4], Operations: ['79-2=77', '22-18=4']
Exploring Operation: 77+4=81, Resulting Numbers: [81]
81,81 equal: Goal Reached
| 4 |
[
85,
4,
70,
33
] | 44 | [
"85-4=81",
"70-33=37",
"81-37=44"
] | Current State: 44:[85, 4, 70, 33], Operations: []
Exploring Operation: 85-4=81, Resulting Numbers: [70, 33, 81]
Generated Node #2: [70, 33, 81] from Operation: 85-4=81
Current State: 44:[70, 33, 81], Operations: ['85-4=81']
Exploring Operation: 70-33=37, Resulting Numbers: [81, 37]
Generated Node #3: [81, 37] from Operation: 70-33=37
Current State: 44:[81, 37], Operations: ['85-4=81', '70-33=37']
Exploring Operation: 81-37=44, Resulting Numbers: [44]
44,44 equal: Goal Reached
| 4 |
[
2,
67,
62,
7
] | 25 | [
"7-2=5",
"67-62=5",
"5*5=25"
] | Current State: 25:[2, 67, 62, 7], Operations: []
Exploring Operation: 7-2=5, Resulting Numbers: [67, 62, 5]
Generated Node #2: [67, 62, 5] from Operation: 7-2=5
Current State: 25:[67, 62, 5], Operations: ['7-2=5']
Exploring Operation: 67-62=5, Resulting Numbers: [5, 5]
Generated Node #3: [5, 5] from Operation: 67-62=5
Current State: 25:[5, 5], Operations: ['7-2=5', '67-62=5']
Exploring Operation: 5*5=25, Resulting Numbers: [25]
25,25 equal: Goal Reached
| 4 |
[
5,
18,
27,
90
] | 36 | [
"5*90=450",
"18*27=486",
"486-450=36"
] | Current State: 36:[5, 18, 27, 90], Operations: []
Exploring Operation: 5*90=450, Resulting Numbers: [18, 27, 450]
Generated Node #2: [18, 27, 450] from Operation: 5*90=450
Current State: 36:[18, 27, 450], Operations: ['5*90=450']
Exploring Operation: 18*27=486, Resulting Numbers: [450, 486]
Generated Node #3: [450, 486] from Operation: 18*27=486
Current State: 36:[450, 486], Operations: ['5*90=450', '18*27=486']
Exploring Operation: 486-450=36, Resulting Numbers: [36]
36,36 equal: Goal Reached
| 4 |
[
20,
34,
57,
32
] | 35 | [
"20+34=54",
"57+32=89",
"89-54=35"
] | Current State: 35:[20, 34, 57, 32], Operations: []
Exploring Operation: 20+34=54, Resulting Numbers: [57, 32, 54]
Generated Node #2: [57, 32, 54] from Operation: 20+34=54
Current State: 35:[57, 32, 54], Operations: ['20+34=54']
Exploring Operation: 57+32=89, Resulting Numbers: [54, 89]
Generated Node #3: [54, 89] from Operation: 57+32=89
Current State: 35:[54, 89], Operations: ['20+34=54', '57+32=89']
Exploring Operation: 89-54=35, Resulting Numbers: [35]
35,35 equal: Goal Reached
| 4 |
[
94,
30,
39,
56
] | 34 | [
"94+56=150",
"150/30=5",
"39-5=34"
] | Current State: 34:[94, 30, 39, 56], Operations: []
Exploring Operation: 94+56=150, Resulting Numbers: [30, 39, 150]
Generated Node #2: [30, 39, 150] from Operation: 94+56=150
Current State: 34:[30, 39, 150], Operations: ['94+56=150']
Exploring Operation: 150/30=5, Resulting Numbers: [39, 5]
Generated Node #3: [39, 5] from Operation: 150/30=5
Current State: 34:[39, 5], Operations: ['94+56=150', '150/30=5']
Exploring Operation: 39-5=34, Resulting Numbers: [34]
34,34 equal: Goal Reached
| 4 |
[
2,
35,
32,
40
] | 96 | [
"2+35=37",
"40-37=3",
"32*3=96"
] | Current State: 96:[2, 35, 32, 40], Operations: []
Exploring Operation: 2+35=37, Resulting Numbers: [32, 40, 37]
Generated Node #2: [32, 40, 37] from Operation: 2+35=37
Current State: 96:[32, 40, 37], Operations: ['2+35=37']
Exploring Operation: 40-37=3, Resulting Numbers: [32, 3]
Generated Node #3: [32, 3] from Operation: 40-37=3
Current State: 96:[32, 3], Operations: ['2+35=37', '40-37=3']
Exploring Operation: 32*3=96, Resulting Numbers: [96]
96,96 equal: Goal Reached
| 4 |
[
8,
96,
24,
74
] | 37 | [
"96/8=12",
"24/12=2",
"74/2=37"
] | Current State: 37:[8, 96, 24, 74], Operations: []
Exploring Operation: 96/8=12, Resulting Numbers: [24, 74, 12]
Generated Node #2: [24, 74, 12] from Operation: 96/8=12
Current State: 37:[24, 74, 12], Operations: ['96/8=12']
Exploring Operation: 24/12=2, Resulting Numbers: [74, 2]
Generated Node #3: [74, 2] from Operation: 24/12=2
Current State: 37:[74, 2], Operations: ['96/8=12', '24/12=2']
Exploring Operation: 74/2=37, Resulting Numbers: [37]
37,37 equal: Goal Reached
| 4 |
[
54,
39,
49,
37
] | 27 | [
"54-39=15",
"49-37=12",
"15+12=27"
] | Current State: 27:[54, 39, 49, 37], Operations: []
Exploring Operation: 54-39=15, Resulting Numbers: [49, 37, 15]
Generated Node #2: [49, 37, 15] from Operation: 54-39=15
Current State: 27:[49, 37, 15], Operations: ['54-39=15']
Exploring Operation: 49-37=12, Resulting Numbers: [15, 12]
Generated Node #3: [15, 12] from Operation: 49-37=12
Current State: 27:[15, 12], Operations: ['54-39=15', '49-37=12']
Exploring Operation: 15+12=27, Resulting Numbers: [27]
27,27 equal: Goal Reached
| 4 |
[
2,
66,
1,
1
] | 70 | [
"2+66=68",
"1+1=2",
"68+2=70"
] | Current State: 70:[2, 66, 1, 1], Operations: []
Exploring Operation: 2+66=68, Resulting Numbers: [1, 1, 68]
Generated Node #2: [1, 1, 68] from Operation: 2+66=68
Current State: 70:[1, 1, 68], Operations: ['2+66=68']
Exploring Operation: 1+1=2, Resulting Numbers: [68, 2]
Generated Node #3: [68, 2] from Operation: 1+1=2
Current State: 70:[68, 2], Operations: ['2+66=68', '1+1=2']
Exploring Operation: 68+2=70, Resulting Numbers: [70]
70,70 equal: Goal Reached
| 4 |
[
82,
3,
25,
9
] | 68 | [
"9-3=6",
"25*6=150",
"150-82=68"
] | Current State: 68:[82, 3, 25, 9], Operations: []
Exploring Operation: 9-3=6, Resulting Numbers: [82, 25, 6]
Generated Node #2: [82, 25, 6] from Operation: 9-3=6
Current State: 68:[82, 25, 6], Operations: ['9-3=6']
Exploring Operation: 25*6=150, Resulting Numbers: [82, 150]
Generated Node #3: [82, 150] from Operation: 25*6=150
Current State: 68:[82, 150], Operations: ['9-3=6', '25*6=150']
Exploring Operation: 150-82=68, Resulting Numbers: [68]
68,68 equal: Goal Reached
| 4 |
[
3,
39,
8,
74
] | 53 | [
"39/3=13",
"74-8=66",
"66-13=53"
] | Current State: 53:[3, 39, 8, 74], Operations: []
Exploring Operation: 39/3=13, Resulting Numbers: [8, 74, 13]
Generated Node #2: [8, 74, 13] from Operation: 39/3=13
Current State: 53:[8, 74, 13], Operations: ['39/3=13']
Exploring Operation: 74-8=66, Resulting Numbers: [13, 66]
Generated Node #3: [13, 66] from Operation: 74-8=66
Current State: 53:[13, 66], Operations: ['39/3=13', '74-8=66']
Exploring Operation: 66-13=53, Resulting Numbers: [53]
53,53 equal: Goal Reached
| 4 |
[
18,
17,
42,
21
] | 98 | [
"18+17=35",
"42+21=63",
"35+63=98"
] | Current State: 98:[18, 17, 42, 21], Operations: []
Exploring Operation: 18+17=35, Resulting Numbers: [42, 21, 35]
Generated Node #2: [42, 21, 35] from Operation: 18+17=35
Current State: 98:[42, 21, 35], Operations: ['18+17=35']
Exploring Operation: 42+21=63, Resulting Numbers: [35, 63]
Generated Node #3: [35, 63] from Operation: 42+21=63
Current State: 98:[35, 63], Operations: ['18+17=35', '42+21=63']
Exploring Operation: 35+63=98, Resulting Numbers: [98]
98,98 equal: Goal Reached
| 4 |
[
52,
24,
48,
3
] | 60 | [
"52+24=76",
"48/3=16",
"76-16=60"
] | Current State: 60:[52, 24, 48, 3], Operations: []
Exploring Operation: 52+24=76, Resulting Numbers: [48, 3, 76]
Generated Node #2: [48, 3, 76] from Operation: 52+24=76
Current State: 60:[48, 3, 76], Operations: ['52+24=76']
Exploring Operation: 48/3=16, Resulting Numbers: [76, 16]
Generated Node #3: [76, 16] from Operation: 48/3=16
Current State: 60:[76, 16], Operations: ['52+24=76', '48/3=16']
Exploring Operation: 76-16=60, Resulting Numbers: [60]
60,60 equal: Goal Reached
| 4 |
[
60,
53,
71,
40
] | 82 | [
"60+53=113",
"71-40=31",
"113-31=82"
] | Current State: 82:[60, 53, 71, 40], Operations: []
Exploring Operation: 60+53=113, Resulting Numbers: [71, 40, 113]
Generated Node #2: [71, 40, 113] from Operation: 60+53=113
Current State: 82:[71, 40, 113], Operations: ['60+53=113']
Exploring Operation: 71-40=31, Resulting Numbers: [113, 31]
Generated Node #3: [113, 31] from Operation: 71-40=31
Current State: 82:[113, 31], Operations: ['60+53=113', '71-40=31']
Exploring Operation: 113-31=82, Resulting Numbers: [82]
82,82 equal: Goal Reached
| 4 |
[
1,
97,
96,
94
] | 33 | [
"97-94=3",
"96/3=32",
"1+32=33"
] | Current State: 33:[1, 97, 96, 94], Operations: []
Exploring Operation: 97-94=3, Resulting Numbers: [1, 96, 3]
Generated Node #2: [1, 96, 3] from Operation: 97-94=3
Current State: 33:[1, 96, 3], Operations: ['97-94=3']
Exploring Operation: 96/3=32, Resulting Numbers: [1, 32]
Generated Node #3: [1, 32] from Operation: 96/3=32
Current State: 33:[1, 32], Operations: ['97-94=3', '96/3=32']
Exploring Operation: 1+32=33, Resulting Numbers: [33]
33,33 equal: Goal Reached
| 4 |
[
61,
32,
36,
96
] | 100 | [
"61+36=97",
"96/32=3",
"97+3=100"
] | Current State: 100:[61, 32, 36, 96], Operations: []
Exploring Operation: 61+36=97, Resulting Numbers: [32, 96, 97]
Generated Node #2: [32, 96, 97] from Operation: 61+36=97
Current State: 100:[32, 96, 97], Operations: ['61+36=97']
Exploring Operation: 96/32=3, Resulting Numbers: [97, 3]
Generated Node #3: [97, 3] from Operation: 96/32=3
Current State: 100:[97, 3], Operations: ['61+36=97', '96/32=3']
Exploring Operation: 97+3=100, Resulting Numbers: [100]
100,100 equal: Goal Reached
| 4 |
[
44,
33,
30,
61
] | 80 | [
"44-33=11",
"30+61=91",
"91-11=80"
] | Current State: 80:[44, 33, 30, 61], Operations: []
Exploring Operation: 44-33=11, Resulting Numbers: [30, 61, 11]
Generated Node #2: [30, 61, 11] from Operation: 44-33=11
Current State: 80:[30, 61, 11], Operations: ['44-33=11']
Exploring Operation: 30+61=91, Resulting Numbers: [11, 91]
Generated Node #3: [11, 91] from Operation: 30+61=91
Current State: 80:[11, 91], Operations: ['44-33=11', '30+61=91']
Exploring Operation: 91-11=80, Resulting Numbers: [80]
80,80 equal: Goal Reached
| 4 |
[
67,
5,
98,
64
] | 90 | [
"67+5=72",
"98+64=162",
"162-72=90"
] | Current State: 90:[67, 5, 98, 64], Operations: []
Exploring Operation: 67+5=72, Resulting Numbers: [98, 64, 72]
Generated Node #2: [98, 64, 72] from Operation: 67+5=72
Current State: 90:[98, 64, 72], Operations: ['67+5=72']
Exploring Operation: 98+64=162, Resulting Numbers: [72, 162]
Generated Node #3: [72, 162] from Operation: 98+64=162
Current State: 90:[72, 162], Operations: ['67+5=72', '98+64=162']
Exploring Operation: 162-72=90, Resulting Numbers: [90]
90,90 equal: Goal Reached
| 4 |
[
84,
5,
31,
55
] | 42 | [
"84-31=53",
"55/5=11",
"53-11=42"
] | Current State: 42:[84, 5, 31, 55], Operations: []
Exploring Operation: 84-31=53, Resulting Numbers: [5, 55, 53]
Generated Node #2: [5, 55, 53] from Operation: 84-31=53
Current State: 42:[5, 55, 53], Operations: ['84-31=53']
Exploring Operation: 55/5=11, Resulting Numbers: [53, 11]
Generated Node #3: [53, 11] from Operation: 55/5=11
Current State: 42:[53, 11], Operations: ['84-31=53', '55/5=11']
Exploring Operation: 53-11=42, Resulting Numbers: [42]
42,42 equal: Goal Reached
| 4 |
[
47,
6,
8,
5
] | 45 | [
"8-5=3",
"6/3=2",
"47-2=45"
] | Current State: 45:[47, 6, 8, 5], Operations: []
Exploring Operation: 8-5=3, Resulting Numbers: [47, 6, 3]
Generated Node #2: [47, 6, 3] from Operation: 8-5=3
Current State: 45:[47, 6, 3], Operations: ['8-5=3']
Exploring Operation: 6/3=2, Resulting Numbers: [47, 2]
Generated Node #3: [47, 2] from Operation: 6/3=2
Current State: 45:[47, 2], Operations: ['8-5=3', '6/3=2']
Exploring Operation: 47-2=45, Resulting Numbers: [45]
45,45 equal: Goal Reached
| 4 |
[
10,
7,
56,
79
] | 65 | [
"10*7=70",
"56+79=135",
"135-70=65"
] | Current State: 65:[10, 7, 56, 79], Operations: []
Exploring Operation: 10*7=70, Resulting Numbers: [56, 79, 70]
Generated Node #2: [56, 79, 70] from Operation: 10*7=70
Current State: 65:[56, 79, 70], Operations: ['10*7=70']
Exploring Operation: 56+79=135, Resulting Numbers: [70, 135]
Generated Node #3: [70, 135] from Operation: 56+79=135
Current State: 65:[70, 135], Operations: ['10*7=70', '56+79=135']
Exploring Operation: 135-70=65, Resulting Numbers: [65]
65,65 equal: Goal Reached
| 4 |
[
47,
60,
99,
96
] | 81 | [
"99-96=3",
"47*3=141",
"141-60=81"
] | Current State: 81:[47, 60, 99, 96], Operations: []
Exploring Operation: 99-96=3, Resulting Numbers: [47, 60, 3]
Generated Node #2: [47, 60, 3] from Operation: 99-96=3
Current State: 81:[47, 60, 3], Operations: ['99-96=3']
Exploring Operation: 47*3=141, Resulting Numbers: [60, 141]
Generated Node #3: [60, 141] from Operation: 47*3=141
Current State: 81:[60, 141], Operations: ['99-96=3', '47*3=141']
Exploring Operation: 141-60=81, Resulting Numbers: [81]
81,81 equal: Goal Reached
| 4 |
[
42,
13,
12,
23
] | 37 | [
"42*12=504",
"504-23=481",
"481/13=37"
] | Current State: 37:[42, 13, 12, 23], Operations: []
Exploring Operation: 42*12=504, Resulting Numbers: [13, 23, 504]
Generated Node #2: [13, 23, 504] from Operation: 42*12=504
Current State: 37:[13, 23, 504], Operations: ['42*12=504']
Exploring Operation: 504-23=481, Resulting Numbers: [13, 481]
Generated Node #3: [13, 481] from Operation: 504-23=481
Current State: 37:[13, 481], Operations: ['42*12=504', '504-23=481']
Exploring Operation: 481/13=37, Resulting Numbers: [37]
37,37 equal: Goal Reached
| 4 |
[
97,
49,
2,
70
] | 70 | [
"49*2=98",
"98-97=1",
"70*1=70"
] | Current State: 70:[97, 49, 2, 70], Operations: []
Exploring Operation: 49*2=98, Resulting Numbers: [97, 70, 98]
Generated Node #2: [97, 70, 98] from Operation: 49*2=98
Current State: 70:[97, 70, 98], Operations: ['49*2=98']
Exploring Operation: 98-97=1, Resulting Numbers: [70, 1]
Generated Node #3: [70, 1] from Operation: 98-97=1
Current State: 70:[70, 1], Operations: ['49*2=98', '98-97=1']
Exploring Operation: 70*1=70, Resulting Numbers: [70]
70,70 equal: Goal Reached
| 4 |
[
9,
22,
19,
17
] | 86 | [
"22-17=5",
"19*5=95",
"95-9=86"
] | Current State: 86:[9, 22, 19, 17], Operations: []
Exploring Operation: 22-17=5, Resulting Numbers: [9, 19, 5]
Generated Node #2: [9, 19, 5] from Operation: 22-17=5
Current State: 86:[9, 19, 5], Operations: ['22-17=5']
Exploring Operation: 19*5=95, Resulting Numbers: [9, 95]
Generated Node #3: [9, 95] from Operation: 19*5=95
Current State: 86:[9, 95], Operations: ['22-17=5', '19*5=95']
Exploring Operation: 95-9=86, Resulting Numbers: [86]
86,86 equal: Goal Reached
| 4 |
[
46,
57,
8,
83
] | 12 | [
"46+57=103",
"8+83=91",
"103-91=12"
] | Current State: 12:[46, 57, 8, 83], Operations: []
Exploring Operation: 46+57=103, Resulting Numbers: [8, 83, 103]
Generated Node #2: [8, 83, 103] from Operation: 46+57=103
Current State: 12:[8, 83, 103], Operations: ['46+57=103']
Exploring Operation: 8+83=91, Resulting Numbers: [103, 91]
Generated Node #3: [103, 91] from Operation: 8+83=91
Current State: 12:[103, 91], Operations: ['46+57=103', '8+83=91']
Exploring Operation: 103-91=12, Resulting Numbers: [12]
12,12 equal: Goal Reached
| 4 |
[
63,
95,
52,
51
] | 71 | [
"95-63=32",
"52+51=103",
"103-32=71"
] | Current State: 71:[63, 95, 52, 51], Operations: []
Exploring Operation: 95-63=32, Resulting Numbers: [52, 51, 32]
Generated Node #2: [52, 51, 32] from Operation: 95-63=32
Current State: 71:[52, 51, 32], Operations: ['95-63=32']
Exploring Operation: 52+51=103, Resulting Numbers: [32, 103]
Generated Node #3: [32, 103] from Operation: 52+51=103
Current State: 71:[32, 103], Operations: ['95-63=32', '52+51=103']
Exploring Operation: 103-32=71, Resulting Numbers: [71]
71,71 equal: Goal Reached
| 4 |
[
40,
7,
80,
26
] | 35 | [
"80/40=2",
"7+26=33",
"2+33=35"
] | Current State: 35:[40, 7, 80, 26], Operations: []
Exploring Operation: 80/40=2, Resulting Numbers: [7, 26, 2]
Generated Node #2: [7, 26, 2] from Operation: 80/40=2
Current State: 35:[7, 26, 2], Operations: ['80/40=2']
Exploring Operation: 7+26=33, Resulting Numbers: [2, 33]
Generated Node #3: [2, 33] from Operation: 7+26=33
Current State: 35:[2, 33], Operations: ['80/40=2', '7+26=33']
Exploring Operation: 2+33=35, Resulting Numbers: [35]
35,35 equal: Goal Reached
| 4 |
[
2,
46,
41,
36
] | 97 | [
"2*46=92",
"41-36=5",
"92+5=97"
] | Current State: 97:[2, 46, 41, 36], Operations: []
Exploring Operation: 2*46=92, Resulting Numbers: [41, 36, 92]
Generated Node #2: [41, 36, 92] from Operation: 2*46=92
Current State: 97:[41, 36, 92], Operations: ['2*46=92']
Exploring Operation: 41-36=5, Resulting Numbers: [92, 5]
Generated Node #3: [92, 5] from Operation: 41-36=5
Current State: 97:[92, 5], Operations: ['2*46=92', '41-36=5']
Exploring Operation: 92+5=97, Resulting Numbers: [97]
97,97 equal: Goal Reached
| 4 |
[
6,
58,
47,
52
] | 69 | [
"6+58=64",
"52-47=5",
"64+5=69"
] | Current State: 69:[6, 58, 47, 52], Operations: []
Exploring Operation: 6+58=64, Resulting Numbers: [47, 52, 64]
Generated Node #2: [47, 52, 64] from Operation: 6+58=64
Current State: 69:[47, 52, 64], Operations: ['6+58=64']
Exploring Operation: 52-47=5, Resulting Numbers: [64, 5]
Generated Node #3: [64, 5] from Operation: 52-47=5
Current State: 69:[64, 5], Operations: ['6+58=64', '52-47=5']
Exploring Operation: 64+5=69, Resulting Numbers: [69]
69,69 equal: Goal Reached
| 4 |
[
95,
93,
63,
12
] | 69 | [
"95-93=2",
"12/2=6",
"63+6=69"
] | Current State: 69:[95, 93, 63, 12], Operations: []
Exploring Operation: 95-93=2, Resulting Numbers: [63, 12, 2]
Generated Node #2: [63, 12, 2] from Operation: 95-93=2
Current State: 69:[63, 12, 2], Operations: ['95-93=2']
Exploring Operation: 12/2=6, Resulting Numbers: [63, 6]
Generated Node #3: [63, 6] from Operation: 12/2=6
Current State: 69:[63, 6], Operations: ['95-93=2', '12/2=6']
Exploring Operation: 63+6=69, Resulting Numbers: [69]
69,69 equal: Goal Reached
| 4 |
[
29,
69,
75,
88
] | 85 | [
"29+69=98",
"88-75=13",
"98-13=85"
] | Current State: 85:[29, 69, 75, 88], Operations: []
Exploring Operation: 29+69=98, Resulting Numbers: [75, 88, 98]
Generated Node #2: [75, 88, 98] from Operation: 29+69=98
Current State: 85:[75, 88, 98], Operations: ['29+69=98']
Exploring Operation: 88-75=13, Resulting Numbers: [98, 13]
Generated Node #3: [98, 13] from Operation: 88-75=13
Current State: 85:[98, 13], Operations: ['29+69=98', '88-75=13']
Exploring Operation: 98-13=85, Resulting Numbers: [85]
85,85 equal: Goal Reached
| 4 |
[
68,
24,
19,
16
] | 56 | [
"68*16=1088",
"1088-24=1064",
"1064/19=56"
] | Current State: 56:[68, 24, 19, 16], Operations: []
Exploring Operation: 68*16=1088, Resulting Numbers: [24, 19, 1088]
Generated Node #2: [24, 19, 1088] from Operation: 68*16=1088
Current State: 56:[24, 19, 1088], Operations: ['68*16=1088']
Exploring Operation: 1088-24=1064, Resulting Numbers: [19, 1064]
Generated Node #3: [19, 1064] from Operation: 1088-24=1064
Current State: 56:[19, 1064], Operations: ['68*16=1088', '1088-24=1064']
Exploring Operation: 1064/19=56, Resulting Numbers: [56]
56,56 equal: Goal Reached
| 4 |
[
10,
14,
58,
6
] | 34 | [
"14-10=4",
"6*4=24",
"58-24=34"
] | Current State: 34:[10, 14, 58, 6], Operations: []
Exploring Operation: 14-10=4, Resulting Numbers: [58, 6, 4]
Generated Node #2: [58, 6, 4] from Operation: 14-10=4
Current State: 34:[58, 6, 4], Operations: ['14-10=4']
Exploring Operation: 6*4=24, Resulting Numbers: [58, 24]
Generated Node #3: [58, 24] from Operation: 6*4=24
Current State: 34:[58, 24], Operations: ['14-10=4', '6*4=24']
Exploring Operation: 58-24=34, Resulting Numbers: [34]
34,34 equal: Goal Reached
| 4 |
[
16,
89,
37,
13
] | 55 | [
"16+89=105",
"37+13=50",
"105-50=55"
] | Current State: 55:[16, 89, 37, 13], Operations: []
Exploring Operation: 16+89=105, Resulting Numbers: [37, 13, 105]
Generated Node #2: [37, 13, 105] from Operation: 16+89=105
Current State: 55:[37, 13, 105], Operations: ['16+89=105']
Exploring Operation: 37+13=50, Resulting Numbers: [105, 50]
Generated Node #3: [105, 50] from Operation: 37+13=50
Current State: 55:[105, 50], Operations: ['16+89=105', '37+13=50']
Exploring Operation: 105-50=55, Resulting Numbers: [55]
55,55 equal: Goal Reached
| 4 |
[
18,
87,
8,
45
] | 67 | [
"8*45=360",
"360/18=20",
"87-20=67"
] | Current State: 67:[18, 87, 8, 45], Operations: []
Exploring Operation: 8*45=360, Resulting Numbers: [18, 87, 360]
Generated Node #2: [18, 87, 360] from Operation: 8*45=360
Current State: 67:[18, 87, 360], Operations: ['8*45=360']
Exploring Operation: 360/18=20, Resulting Numbers: [87, 20]
Generated Node #3: [87, 20] from Operation: 360/18=20
Current State: 67:[87, 20], Operations: ['8*45=360', '360/18=20']
Exploring Operation: 87-20=67, Resulting Numbers: [67]
67,67 equal: Goal Reached
| 4 |
[
24,
11,
1,
20
] | 14 | [
"24+11=35",
"1+20=21",
"35-21=14"
] | Current State: 14:[24, 11, 1, 20], Operations: []
Exploring Operation: 24+11=35, Resulting Numbers: [1, 20, 35]
Generated Node #2: [1, 20, 35] from Operation: 24+11=35
Current State: 14:[1, 20, 35], Operations: ['24+11=35']
Exploring Operation: 1+20=21, Resulting Numbers: [35, 21]
Generated Node #3: [35, 21] from Operation: 1+20=21
Current State: 14:[35, 21], Operations: ['24+11=35', '1+20=21']
Exploring Operation: 35-21=14, Resulting Numbers: [14]
14,14 equal: Goal Reached
| 4 |
[
16,
3,
58,
6
] | 12 | [
"58-16=42",
"42-6=36",
"36/3=12"
] | Current State: 12:[16, 3, 58, 6], Operations: []
Exploring Operation: 58-16=42, Resulting Numbers: [3, 6, 42]
Generated Node #2: [3, 6, 42] from Operation: 58-16=42
Current State: 12:[3, 6, 42], Operations: ['58-16=42']
Exploring Operation: 42-6=36, Resulting Numbers: [3, 36]
Generated Node #3: [3, 36] from Operation: 42-6=36
Current State: 12:[3, 36], Operations: ['58-16=42', '42-6=36']
Exploring Operation: 36/3=12, Resulting Numbers: [12]
12,12 equal: Goal Reached
| 4 |
[
37,
25,
38,
45
] | 21 | [
"37+25=62",
"38+45=83",
"83-62=21"
] | Current State: 21:[37, 25, 38, 45], Operations: []
Exploring Operation: 37+25=62, Resulting Numbers: [38, 45, 62]
Generated Node #2: [38, 45, 62] from Operation: 37+25=62
Current State: 21:[38, 45, 62], Operations: ['37+25=62']
Exploring Operation: 38+45=83, Resulting Numbers: [62, 83]
Generated Node #3: [62, 83] from Operation: 38+45=83
Current State: 21:[62, 83], Operations: ['37+25=62', '38+45=83']
Exploring Operation: 83-62=21, Resulting Numbers: [21]
21,21 equal: Goal Reached
| 4 |
[
9,
61,
58,
42
] | 11 | [
"42-9=33",
"61-58=3",
"33/3=11"
] | Current State: 11:[9, 61, 58, 42], Operations: []
Exploring Operation: 42-9=33, Resulting Numbers: [61, 58, 33]
Generated Node #2: [61, 58, 33] from Operation: 42-9=33
Current State: 11:[61, 58, 33], Operations: ['42-9=33']
Exploring Operation: 61-58=3, Resulting Numbers: [33, 3]
Generated Node #3: [33, 3] from Operation: 61-58=3
Current State: 11:[33, 3], Operations: ['42-9=33', '61-58=3']
Exploring Operation: 33/3=11, Resulting Numbers: [11]
11,11 equal: Goal Reached
| 4 |
[
97,
3,
25,
23
] | 47 | [
"97-3=94",
"25-23=2",
"94/2=47"
] | Current State: 47:[97, 3, 25, 23], Operations: []
Exploring Operation: 97-3=94, Resulting Numbers: [25, 23, 94]
Generated Node #2: [25, 23, 94] from Operation: 97-3=94
Current State: 47:[25, 23, 94], Operations: ['97-3=94']
Exploring Operation: 25-23=2, Resulting Numbers: [94, 2]
Generated Node #3: [94, 2] from Operation: 25-23=2
Current State: 47:[94, 2], Operations: ['97-3=94', '25-23=2']
Exploring Operation: 94/2=47, Resulting Numbers: [47]
47,47 equal: Goal Reached
| 4 |
[
49,
49,
63,
39
] | 24 | [
"49-49=0",
"63-39=24",
"0+24=24"
] | Current State: 24:[49, 49, 63, 39], Operations: []
Exploring Operation: 49-49=0, Resulting Numbers: [63, 39, 0]
Generated Node #2: [63, 39, 0] from Operation: 49-49=0
Current State: 24:[63, 39, 0], Operations: ['49-49=0']
Exploring Operation: 63-39=24, Resulting Numbers: [0, 24]
Generated Node #3: [0, 24] from Operation: 63-39=24
Current State: 24:[0, 24], Operations: ['49-49=0', '63-39=24']
Exploring Operation: 0+24=24, Resulting Numbers: [24]
24,24 equal: Goal Reached
| 4 |
[
87,
89,
44,
91
] | 65 | [
"91-89=2",
"44/2=22",
"87-22=65"
] | Current State: 65:[87, 89, 44, 91], Operations: []
Exploring Operation: 91-89=2, Resulting Numbers: [87, 44, 2]
Generated Node #2: [87, 44, 2] from Operation: 91-89=2
Current State: 65:[87, 44, 2], Operations: ['91-89=2']
Exploring Operation: 44/2=22, Resulting Numbers: [87, 22]
Generated Node #3: [87, 22] from Operation: 44/2=22
Current State: 65:[87, 22], Operations: ['91-89=2', '44/2=22']
Exploring Operation: 87-22=65, Resulting Numbers: [65]
65,65 equal: Goal Reached
| 4 |
[
39,
40,
67,
4
] | 54 | [
"39+67=106",
"40*4=160",
"160-106=54"
] | Current State: 54:[39, 40, 67, 4], Operations: []
Exploring Operation: 39+67=106, Resulting Numbers: [40, 4, 106]
Generated Node #2: [40, 4, 106] from Operation: 39+67=106
Current State: 54:[40, 4, 106], Operations: ['39+67=106']
Exploring Operation: 40*4=160, Resulting Numbers: [106, 160]
Generated Node #3: [106, 160] from Operation: 40*4=160
Current State: 54:[106, 160], Operations: ['39+67=106', '40*4=160']
Exploring Operation: 160-106=54, Resulting Numbers: [54]
54,54 equal: Goal Reached
| 4 |
[
76,
65,
37,
8
] | 51 | [
"76-65=11",
"8*11=88",
"88-37=51"
] | Current State: 51:[76, 65, 37, 8], Operations: []
Exploring Operation: 76-65=11, Resulting Numbers: [37, 8, 11]
Generated Node #2: [37, 8, 11] from Operation: 76-65=11
Current State: 51:[37, 8, 11], Operations: ['76-65=11']
Exploring Operation: 8*11=88, Resulting Numbers: [37, 88]
Generated Node #3: [37, 88] from Operation: 8*11=88
Current State: 51:[37, 88], Operations: ['76-65=11', '8*11=88']
Exploring Operation: 88-37=51, Resulting Numbers: [51]
51,51 equal: Goal Reached
| 4 |
[
5,
73,
63,
43
] | 27 | [
"63-43=20",
"5*20=100",
"100-73=27"
] | Current State: 27:[5, 73, 63, 43], Operations: []
Exploring Operation: 63-43=20, Resulting Numbers: [5, 73, 20]
Generated Node #2: [5, 73, 20] from Operation: 63-43=20
Current State: 27:[5, 73, 20], Operations: ['63-43=20']
Exploring Operation: 5*20=100, Resulting Numbers: [73, 100]
Generated Node #3: [73, 100] from Operation: 5*20=100
Current State: 27:[73, 100], Operations: ['63-43=20', '5*20=100']
Exploring Operation: 100-73=27, Resulting Numbers: [27]
27,27 equal: Goal Reached
| 4 |
[
88,
11,
33,
95
] | 97 | [
"11+33=44",
"88/44=2",
"95+2=97"
] | Current State: 97:[88, 11, 33, 95], Operations: []
Exploring Operation: 11+33=44, Resulting Numbers: [88, 95, 44]
Generated Node #2: [88, 95, 44] from Operation: 11+33=44
Current State: 97:[88, 95, 44], Operations: ['11+33=44']
Exploring Operation: 88/44=2, Resulting Numbers: [95, 2]
Generated Node #3: [95, 2] from Operation: 88/44=2
Current State: 97:[95, 2], Operations: ['11+33=44', '88/44=2']
Exploring Operation: 95+2=97, Resulting Numbers: [97]
97,97 equal: Goal Reached
| 4 |
[
24,
6,
23,
65
] | 97 | [
"65-24=41",
"6*23=138",
"138-41=97"
] | Current State: 97:[24, 6, 23, 65], Operations: []
Exploring Operation: 65-24=41, Resulting Numbers: [6, 23, 41]
Generated Node #2: [6, 23, 41] from Operation: 65-24=41
Current State: 97:[6, 23, 41], Operations: ['65-24=41']
Exploring Operation: 6*23=138, Resulting Numbers: [41, 138]
Generated Node #3: [41, 138] from Operation: 6*23=138
Current State: 97:[41, 138], Operations: ['65-24=41', '6*23=138']
Exploring Operation: 138-41=97, Resulting Numbers: [97]
97,97 equal: Goal Reached
| 4 |
[
57,
89,
21,
42
] | 25 | [
"57*42=2394",
"2394/21=114",
"114-89=25"
] | Current State: 25:[57, 89, 21, 42], Operations: []
Exploring Operation: 57*42=2394, Resulting Numbers: [89, 21, 2394]
Generated Node #2: [89, 21, 2394] from Operation: 57*42=2394
Current State: 25:[89, 21, 2394], Operations: ['57*42=2394']
Exploring Operation: 2394/21=114, Resulting Numbers: [89, 114]
Generated Node #3: [89, 114] from Operation: 2394/21=114
Current State: 25:[89, 114], Operations: ['57*42=2394', '2394/21=114']
Exploring Operation: 114-89=25, Resulting Numbers: [25]
25,25 equal: Goal Reached
| 4 |
[
54,
36,
52,
56
] | 64 | [
"54-52=2",
"56/2=28",
"36+28=64"
] | Current State: 64:[54, 36, 52, 56], Operations: []
Exploring Operation: 54-52=2, Resulting Numbers: [36, 56, 2]
Generated Node #2: [36, 56, 2] from Operation: 54-52=2
Current State: 64:[36, 56, 2], Operations: ['54-52=2']
Exploring Operation: 56/2=28, Resulting Numbers: [36, 28]
Generated Node #3: [36, 28] from Operation: 56/2=28
Current State: 64:[36, 28], Operations: ['54-52=2', '56/2=28']
Exploring Operation: 36+28=64, Resulting Numbers: [64]
64,64 equal: Goal Reached
| 4 |
[
40,
52,
10,
74
] | 76 | [
"52-40=12",
"74-10=64",
"12+64=76"
] | Current State: 76:[40, 52, 10, 74], Operations: []
Exploring Operation: 52-40=12, Resulting Numbers: [10, 74, 12]
Generated Node #2: [10, 74, 12] from Operation: 52-40=12
Current State: 76:[10, 74, 12], Operations: ['52-40=12']
Exploring Operation: 74-10=64, Resulting Numbers: [12, 64]
Generated Node #3: [12, 64] from Operation: 74-10=64
Current State: 76:[12, 64], Operations: ['52-40=12', '74-10=64']
Exploring Operation: 12+64=76, Resulting Numbers: [76]
76,76 equal: Goal Reached
| 4 |
[
48,
32,
7,
16
] | 36 | [
"48/16=3",
"32+7=39",
"39-3=36"
] | Current State: 36:[48, 32, 7, 16], Operations: []
Exploring Operation: 48/16=3, Resulting Numbers: [32, 7, 3]
Generated Node #2: [32, 7, 3] from Operation: 48/16=3
Current State: 36:[32, 7, 3], Operations: ['48/16=3']
Exploring Operation: 32+7=39, Resulting Numbers: [3, 39]
Generated Node #3: [3, 39] from Operation: 32+7=39
Current State: 36:[3, 39], Operations: ['48/16=3', '32+7=39']
Exploring Operation: 39-3=36, Resulting Numbers: [36]
36,36 equal: Goal Reached
| 4 |
[
60,
41,
82,
61
] | 62 | [
"82/41=2",
"61*2=122",
"122-60=62"
] | Current State: 62:[60, 41, 82, 61], Operations: []
Exploring Operation: 82/41=2, Resulting Numbers: [60, 61, 2]
Generated Node #2: [60, 61, 2] from Operation: 82/41=2
Current State: 62:[60, 61, 2], Operations: ['82/41=2']
Exploring Operation: 61*2=122, Resulting Numbers: [60, 122]
Generated Node #3: [60, 122] from Operation: 61*2=122
Current State: 62:[60, 122], Operations: ['82/41=2', '61*2=122']
Exploring Operation: 122-60=62, Resulting Numbers: [62]
62,62 equal: Goal Reached
| 4 |
[
10,
63,
7,
89
] | 88 | [
"89-10=79",
"63/7=9",
"79+9=88"
] | Current State: 88:[10, 63, 7, 89], Operations: []
Exploring Operation: 89-10=79, Resulting Numbers: [63, 7, 79]
Generated Node #2: [63, 7, 79] from Operation: 89-10=79
Current State: 88:[63, 7, 79], Operations: ['89-10=79']
Exploring Operation: 63/7=9, Resulting Numbers: [79, 9]
Generated Node #3: [79, 9] from Operation: 63/7=9
Current State: 88:[79, 9], Operations: ['89-10=79', '63/7=9']
Exploring Operation: 79+9=88, Resulting Numbers: [88]
88,88 equal: Goal Reached
| 4 |
[
95,
20,
10,
40
] | 15 | [
"20/10=2",
"40*2=80",
"95-80=15"
] | Current State: 15:[95, 20, 10, 40], Operations: []
Exploring Operation: 20/10=2, Resulting Numbers: [95, 40, 2]
Generated Node #2: [95, 40, 2] from Operation: 20/10=2
Current State: 15:[95, 40, 2], Operations: ['20/10=2']
Exploring Operation: 40*2=80, Resulting Numbers: [95, 80]
Generated Node #3: [95, 80] from Operation: 40*2=80
Current State: 15:[95, 80], Operations: ['20/10=2', '40*2=80']
Exploring Operation: 95-80=15, Resulting Numbers: [15]
15,15 equal: Goal Reached
| 4 |
[
59,
85,
1,
6
] | 75 | [
"59+1=60",
"60/6=10",
"85-10=75"
] | Current State: 75:[59, 85, 1, 6], Operations: []
Exploring Operation: 59+1=60, Resulting Numbers: [85, 6, 60]
Generated Node #2: [85, 6, 60] from Operation: 59+1=60
Current State: 75:[85, 6, 60], Operations: ['59+1=60']
Exploring Operation: 60/6=10, Resulting Numbers: [85, 10]
Generated Node #3: [85, 10] from Operation: 60/6=10
Current State: 75:[85, 10], Operations: ['59+1=60', '60/6=10']
Exploring Operation: 85-10=75, Resulting Numbers: [75]
75,75 equal: Goal Reached
| 4 |
[
7,
54,
61,
82
] | 57 | [
"82-54=28",
"28/7=4",
"61-4=57"
] | Current State: 57:[7, 54, 61, 82], Operations: []
Exploring Operation: 82-54=28, Resulting Numbers: [7, 61, 28]
Generated Node #2: [7, 61, 28] from Operation: 82-54=28
Current State: 57:[7, 61, 28], Operations: ['82-54=28']
Exploring Operation: 28/7=4, Resulting Numbers: [61, 4]
Generated Node #3: [61, 4] from Operation: 28/7=4
Current State: 57:[61, 4], Operations: ['82-54=28', '28/7=4']
Exploring Operation: 61-4=57, Resulting Numbers: [57]
57,57 equal: Goal Reached
| 4 |
[
55,
40,
23,
6
] | 67 | [
"55-40=15",
"6*15=90",
"90-23=67"
] | Current State: 67:[55, 40, 23, 6], Operations: []
Exploring Operation: 55-40=15, Resulting Numbers: [23, 6, 15]
Generated Node #2: [23, 6, 15] from Operation: 55-40=15
Current State: 67:[23, 6, 15], Operations: ['55-40=15']
Exploring Operation: 6*15=90, Resulting Numbers: [23, 90]
Generated Node #3: [23, 90] from Operation: 6*15=90
Current State: 67:[23, 90], Operations: ['55-40=15', '6*15=90']
Exploring Operation: 90-23=67, Resulting Numbers: [67]
67,67 equal: Goal Reached
| 4 |
[
18,
84,
4,
56
] | 24 | [
"84*4=336",
"336/56=6",
"18+6=24"
] | Current State: 24:[18, 84, 4, 56], Operations: []
Exploring Operation: 84*4=336, Resulting Numbers: [18, 56, 336]
Generated Node #2: [18, 56, 336] from Operation: 84*4=336
Current State: 24:[18, 56, 336], Operations: ['84*4=336']
Exploring Operation: 336/56=6, Resulting Numbers: [18, 6]
Generated Node #3: [18, 6] from Operation: 336/56=6
Current State: 24:[18, 6], Operations: ['84*4=336', '336/56=6']
Exploring Operation: 18+6=24, Resulting Numbers: [24]
24,24 equal: Goal Reached
| 4 |
[
10,
71,
36,
2
] | 21 | [
"10+36=46",
"2*46=92",
"92-71=21"
] | Current State: 21:[10, 71, 36, 2], Operations: []
Exploring Operation: 10+36=46, Resulting Numbers: [71, 2, 46]
Generated Node #2: [71, 2, 46] from Operation: 10+36=46
Current State: 21:[71, 2, 46], Operations: ['10+36=46']
Exploring Operation: 2*46=92, Resulting Numbers: [71, 92]
Generated Node #3: [71, 92] from Operation: 2*46=92
Current State: 21:[71, 92], Operations: ['10+36=46', '2*46=92']
Exploring Operation: 92-71=21, Resulting Numbers: [21]
21,21 equal: Goal Reached
| 4 |
[
83,
31,
49,
25
] | 28 | [
"83-31=52",
"49-25=24",
"52-24=28"
] | Current State: 28:[83, 31, 49, 25], Operations: []
Exploring Operation: 83-31=52, Resulting Numbers: [49, 25, 52]
Generated Node #2: [49, 25, 52] from Operation: 83-31=52
Current State: 28:[49, 25, 52], Operations: ['83-31=52']
Exploring Operation: 49-25=24, Resulting Numbers: [52, 24]
Generated Node #3: [52, 24] from Operation: 49-25=24
Current State: 28:[52, 24], Operations: ['83-31=52', '49-25=24']
Exploring Operation: 52-24=28, Resulting Numbers: [28]
28,28 equal: Goal Reached
| 4 |
[
14,
33,
31,
33
] | 21 | [
"33-14=19",
"33-31=2",
"19+2=21"
] | Current State: 21:[14, 33, 31, 33], Operations: []
Exploring Operation: 33-14=19, Resulting Numbers: [31, 19]
Generated Node #2: [31, 19] from Operation: 33-14=19
Current State: 21:[31, 19], Operations: ['33-14=19']
Exploring Operation: 33-31=2, Resulting Numbers: [19, 2]
Generated Node #3: [19, 2] from Operation: 33-31=2
Current State: 21:[19, 2], Operations: ['33-14=19', '33-31=2']
Exploring Operation: 19+2=21, Resulting Numbers: [21]
21,21 equal: Goal Reached
| 4 |
[
35,
2,
49,
26
] | 67 | [
"35-26=9",
"2*9=18",
"49+18=67"
] | Current State: 67:[35, 2, 49, 26], Operations: []
Exploring Operation: 35-26=9, Resulting Numbers: [2, 49, 9]
Generated Node #2: [2, 49, 9] from Operation: 35-26=9
Current State: 67:[2, 49, 9], Operations: ['35-26=9']
Exploring Operation: 2*9=18, Resulting Numbers: [49, 18]
Generated Node #3: [49, 18] from Operation: 2*9=18
Current State: 67:[49, 18], Operations: ['35-26=9', '2*9=18']
Exploring Operation: 49+18=67, Resulting Numbers: [67]
67,67 equal: Goal Reached
| 4 |
[
47,
41,
11,
94
] | 89 | [
"47-41=6",
"94-11=83",
"6+83=89"
] | Current State: 89:[47, 41, 11, 94], Operations: []
Exploring Operation: 47-41=6, Resulting Numbers: [11, 94, 6]
Generated Node #2: [11, 94, 6] from Operation: 47-41=6
Current State: 89:[11, 94, 6], Operations: ['47-41=6']
Exploring Operation: 94-11=83, Resulting Numbers: [6, 83]
Generated Node #3: [6, 83] from Operation: 94-11=83
Current State: 89:[6, 83], Operations: ['47-41=6', '94-11=83']
Exploring Operation: 6+83=89, Resulting Numbers: [89]
89,89 equal: Goal Reached
| 4 |
[
38,
13,
34,
69
] | 16 | [
"38+13=51",
"69-34=35",
"51-35=16"
] | Current State: 16:[38, 13, 34, 69], Operations: []
Exploring Operation: 38+13=51, Resulting Numbers: [34, 69, 51]
Generated Node #2: [34, 69, 51] from Operation: 38+13=51
Current State: 16:[34, 69, 51], Operations: ['38+13=51']
Exploring Operation: 69-34=35, Resulting Numbers: [51, 35]
Generated Node #3: [51, 35] from Operation: 69-34=35
Current State: 16:[51, 35], Operations: ['38+13=51', '69-34=35']
Exploring Operation: 51-35=16, Resulting Numbers: [16]
16,16 equal: Goal Reached
| 4 |
[
51,
67,
42,
34
] | 95 | [
"42*34=1428",
"1428/51=28",
"67+28=95"
] | Current State: 95:[51, 67, 42, 34], Operations: []
Exploring Operation: 42*34=1428, Resulting Numbers: [51, 67, 1428]
Generated Node #2: [51, 67, 1428] from Operation: 42*34=1428
Current State: 95:[51, 67, 1428], Operations: ['42*34=1428']
Exploring Operation: 1428/51=28, Resulting Numbers: [67, 28]
Generated Node #3: [67, 28] from Operation: 1428/51=28
Current State: 95:[67, 28], Operations: ['42*34=1428', '1428/51=28']
Exploring Operation: 67+28=95, Resulting Numbers: [95]
95,95 equal: Goal Reached
| 4 |
[
69,
52,
29,
24
] | 70 | [
"69-52=17",
"29+24=53",
"17+53=70"
] | Current State: 70:[69, 52, 29, 24], Operations: []
Exploring Operation: 69-52=17, Resulting Numbers: [29, 24, 17]
Generated Node #2: [29, 24, 17] from Operation: 69-52=17
Current State: 70:[29, 24, 17], Operations: ['69-52=17']
Exploring Operation: 29+24=53, Resulting Numbers: [17, 53]
Generated Node #3: [17, 53] from Operation: 29+24=53
Current State: 70:[17, 53], Operations: ['69-52=17', '29+24=53']
Exploring Operation: 17+53=70, Resulting Numbers: [70]
70,70 equal: Goal Reached
| 4 |
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