nums listlengths 4 4 | target int64 10 100 | solution listlengths 3 3 | optimal_path stringlengths 282 529 | start_size int64 4 4 |
|---|---|---|---|---|
[
20,
13,
38,
33
] | 38 | [
"20+13=33",
"38+33=71",
"71-33=38"
] | Current State: 38:[20, 13, 38, 33], Operations: []
Exploring Operation: 20+13=33, Resulting Numbers: [38, 33, 33]
Generated Node #2: [38, 33, 33] from Operation: 20+13=33
Current State: 38:[38, 33, 33], Operations: ['20+13=33']
Exploring Operation: 38+33=71, Resulting Numbers: [71]
71,38 equal: Goal Reached
Exploring Operation: 71-33=38, Resulting Numbers: [38]
38,38 equal: Goal Reached
| 4 |
[
50,
18,
13,
77
] | 87 | [
"18-13=5",
"50/5=10",
"77+10=87"
] | Current State: 87:[50, 18, 13, 77], Operations: []
Exploring Operation: 18-13=5, Resulting Numbers: [50, 77, 5]
Generated Node #2: [50, 77, 5] from Operation: 18-13=5
Current State: 87:[50, 77, 5], Operations: ['18-13=5']
Exploring Operation: 50/5=10, Resulting Numbers: [77, 10]
Generated Node #3: [77, 10] from Operation: 50/5=10
Current State: 87:[77, 10], Operations: ['18-13=5', '50/5=10']
Exploring Operation: 77+10=87, Resulting Numbers: [87]
87,87 equal: Goal Reached
| 4 |
[
52,
14,
3,
53
] | 18 | [
"52-14=38",
"3+53=56",
"56-38=18"
] | Current State: 18:[52, 14, 3, 53], Operations: []
Exploring Operation: 52-14=38, Resulting Numbers: [3, 53, 38]
Generated Node #2: [3, 53, 38] from Operation: 52-14=38
Current State: 18:[3, 53, 38], Operations: ['52-14=38']
Exploring Operation: 3+53=56, Resulting Numbers: [38, 56]
Generated Node #3: [38, 56] from Operation: 3+53=56
Current State: 18:[38, 56], Operations: ['52-14=38', '3+53=56']
Exploring Operation: 56-38=18, Resulting Numbers: [18]
18,18 equal: Goal Reached
| 4 |
[
4,
20,
12,
5
] | 63 | [
"4*20=80",
"12+5=17",
"80-17=63"
] | Current State: 63:[4, 20, 12, 5], Operations: []
Exploring Operation: 4*20=80, Resulting Numbers: [12, 5, 80]
Generated Node #2: [12, 5, 80] from Operation: 4*20=80
Current State: 63:[12, 5, 80], Operations: ['4*20=80']
Exploring Operation: 12+5=17, Resulting Numbers: [80, 17]
Generated Node #3: [80, 17] from Operation: 12+5=17
Current State: 63:[80, 17], Operations: ['4*20=80', '12+5=17']
Exploring Operation: 80-17=63, Resulting Numbers: [63]
63,63 equal: Goal Reached
| 4 |
[
48,
92,
39,
51
] | 79 | [
"51-48=3",
"39/3=13",
"92-13=79"
] | Current State: 79:[48, 92, 39, 51], Operations: []
Exploring Operation: 51-48=3, Resulting Numbers: [92, 39, 3]
Generated Node #2: [92, 39, 3] from Operation: 51-48=3
Current State: 79:[92, 39, 3], Operations: ['51-48=3']
Exploring Operation: 39/3=13, Resulting Numbers: [92, 13]
Generated Node #3: [92, 13] from Operation: 39/3=13
Current State: 79:[92, 13], Operations: ['51-48=3', '39/3=13']
Exploring Operation: 92-13=79, Resulting Numbers: [79]
79,79 equal: Goal Reached
| 4 |
[
83,
25,
35,
1
] | 22 | [
"83-25=58",
"35+1=36",
"58-36=22"
] | Current State: 22:[83, 25, 35, 1], Operations: []
Exploring Operation: 83-25=58, Resulting Numbers: [35, 1, 58]
Generated Node #2: [35, 1, 58] from Operation: 83-25=58
Current State: 22:[35, 1, 58], Operations: ['83-25=58']
Exploring Operation: 35+1=36, Resulting Numbers: [58, 36]
Generated Node #3: [58, 36] from Operation: 35+1=36
Current State: 22:[58, 36], Operations: ['83-25=58', '35+1=36']
Exploring Operation: 58-36=22, Resulting Numbers: [22]
22,22 equal: Goal Reached
| 4 |
[
2,
17,
7,
69
] | 48 | [
"2+69=71",
"17*7=119",
"119-71=48"
] | Current State: 48:[2, 17, 7, 69], Operations: []
Exploring Operation: 2+69=71, Resulting Numbers: [17, 7, 71]
Generated Node #2: [17, 7, 71] from Operation: 2+69=71
Current State: 48:[17, 7, 71], Operations: ['2+69=71']
Exploring Operation: 17*7=119, Resulting Numbers: [71, 119]
Generated Node #3: [71, 119] from Operation: 17*7=119
Current State: 48:[71, 119], Operations: ['2+69=71', '17*7=119']
Exploring Operation: 119-71=48, Resulting Numbers: [48]
48,48 equal: Goal Reached
| 4 |
[
2,
88,
52,
96
] | 12 | [
"88/2=44",
"52-44=8",
"96/8=12"
] | Current State: 12:[2, 88, 52, 96], Operations: []
Exploring Operation: 88/2=44, Resulting Numbers: [52, 96, 44]
Generated Node #2: [52, 96, 44] from Operation: 88/2=44
Current State: 12:[52, 96, 44], Operations: ['88/2=44']
Exploring Operation: 52-44=8, Resulting Numbers: [96, 8]
Generated Node #3: [96, 8] from Operation: 52-44=8
Current State: 12:[96, 8], Operations: ['88/2=44', '52-44=8']
Exploring Operation: 96/8=12, Resulting Numbers: [12]
12,12 equal: Goal Reached
| 4 |
[
71,
4,
9,
55
] | 35 | [
"71+9=80",
"80/4=20",
"55-20=35"
] | Current State: 35:[71, 4, 9, 55], Operations: []
Exploring Operation: 71+9=80, Resulting Numbers: [4, 55, 80]
Generated Node #2: [4, 55, 80] from Operation: 71+9=80
Current State: 35:[4, 55, 80], Operations: ['71+9=80']
Exploring Operation: 80/4=20, Resulting Numbers: [55, 20]
Generated Node #3: [55, 20] from Operation: 80/4=20
Current State: 35:[55, 20], Operations: ['71+9=80', '80/4=20']
Exploring Operation: 55-20=35, Resulting Numbers: [35]
35,35 equal: Goal Reached
| 4 |
[
10,
23,
12,
3
] | 71 | [
"12-10=2",
"23*3=69",
"2+69=71"
] | Current State: 71:[10, 23, 12, 3], Operations: []
Exploring Operation: 12-10=2, Resulting Numbers: [23, 3, 2]
Generated Node #2: [23, 3, 2] from Operation: 12-10=2
Current State: 71:[23, 3, 2], Operations: ['12-10=2']
Exploring Operation: 23*3=69, Resulting Numbers: [2, 69]
Generated Node #3: [2, 69] from Operation: 23*3=69
Current State: 71:[2, 69], Operations: ['12-10=2', '23*3=69']
Exploring Operation: 2+69=71, Resulting Numbers: [71]
71,71 equal: Goal Reached
| 4 |
[
54,
45,
43,
4
] | 31 | [
"45-43=2",
"54/2=27",
"4+27=31"
] | Current State: 31:[54, 45, 43, 4], Operations: []
Exploring Operation: 45-43=2, Resulting Numbers: [54, 4, 2]
Generated Node #2: [54, 4, 2] from Operation: 45-43=2
Current State: 31:[54, 4, 2], Operations: ['45-43=2']
Exploring Operation: 54/2=27, Resulting Numbers: [4, 27]
Generated Node #3: [4, 27] from Operation: 54/2=27
Current State: 31:[4, 27], Operations: ['45-43=2', '54/2=27']
Exploring Operation: 4+27=31, Resulting Numbers: [31]
31,31 equal: Goal Reached
| 4 |
[
1,
87,
7,
86
] | 14 | [
"1+87=88",
"88-86=2",
"7*2=14"
] | Current State: 14:[1, 87, 7, 86], Operations: []
Exploring Operation: 1+87=88, Resulting Numbers: [7, 86, 88]
Generated Node #2: [7, 86, 88] from Operation: 1+87=88
Current State: 14:[7, 86, 88], Operations: ['1+87=88']
Exploring Operation: 88-86=2, Resulting Numbers: [7, 2]
Generated Node #3: [7, 2] from Operation: 88-86=2
Current State: 14:[7, 2], Operations: ['1+87=88', '88-86=2']
Exploring Operation: 7*2=14, Resulting Numbers: [14]
14,14 equal: Goal Reached
| 4 |
[
33,
6,
12,
39
] | 10 | [
"33*12=396",
"396-6=390",
"390/39=10"
] | Current State: 10:[33, 6, 12, 39], Operations: []
Exploring Operation: 33*12=396, Resulting Numbers: [6, 39, 396]
Generated Node #2: [6, 39, 396] from Operation: 33*12=396
Current State: 10:[6, 39, 396], Operations: ['33*12=396']
Exploring Operation: 396-6=390, Resulting Numbers: [39, 390]
Generated Node #3: [39, 390] from Operation: 396-6=390
Current State: 10:[39, 390], Operations: ['33*12=396', '396-6=390']
Exploring Operation: 390/39=10, Resulting Numbers: [10]
10,10 equal: Goal Reached
| 4 |
[
88,
4,
8,
76
] | 39 | [
"88-8=80",
"76+80=156",
"156/4=39"
] | Current State: 39:[88, 4, 8, 76], Operations: []
Exploring Operation: 88-8=80, Resulting Numbers: [4, 76, 80]
Generated Node #2: [4, 76, 80] from Operation: 88-8=80
Current State: 39:[4, 76, 80], Operations: ['88-8=80']
Exploring Operation: 76+80=156, Resulting Numbers: [4, 156]
Generated Node #3: [4, 156] from Operation: 76+80=156
Current State: 39:[4, 156], Operations: ['88-8=80', '76+80=156']
Exploring Operation: 156/4=39, Resulting Numbers: [39]
39,39 equal: Goal Reached
| 4 |
[
81,
97,
50,
33
] | 99 | [
"97-81=16",
"50+33=83",
"16+83=99"
] | Current State: 99:[81, 97, 50, 33], Operations: []
Exploring Operation: 97-81=16, Resulting Numbers: [50, 33, 16]
Generated Node #2: [50, 33, 16] from Operation: 97-81=16
Current State: 99:[50, 33, 16], Operations: ['97-81=16']
Exploring Operation: 50+33=83, Resulting Numbers: [16, 83]
Generated Node #3: [16, 83] from Operation: 50+33=83
Current State: 99:[16, 83], Operations: ['97-81=16', '50+33=83']
Exploring Operation: 16+83=99, Resulting Numbers: [99]
99,99 equal: Goal Reached
| 4 |
[
35,
60,
46,
82
] | 61 | [
"60-35=25",
"82-46=36",
"25+36=61"
] | Current State: 61:[35, 60, 46, 82], Operations: []
Exploring Operation: 60-35=25, Resulting Numbers: [46, 82, 25]
Generated Node #2: [46, 82, 25] from Operation: 60-35=25
Current State: 61:[46, 82, 25], Operations: ['60-35=25']
Exploring Operation: 82-46=36, Resulting Numbers: [25, 36]
Generated Node #3: [25, 36] from Operation: 82-46=36
Current State: 61:[25, 36], Operations: ['60-35=25', '82-46=36']
Exploring Operation: 25+36=61, Resulting Numbers: [61]
61,61 equal: Goal Reached
| 4 |
[
29,
70,
2,
14
] | 26 | [
"29+2=31",
"70/14=5",
"31-5=26"
] | Current State: 26:[29, 70, 2, 14], Operations: []
Exploring Operation: 29+2=31, Resulting Numbers: [70, 14, 31]
Generated Node #2: [70, 14, 31] from Operation: 29+2=31
Current State: 26:[70, 14, 31], Operations: ['29+2=31']
Exploring Operation: 70/14=5, Resulting Numbers: [31, 5]
Generated Node #3: [31, 5] from Operation: 70/14=5
Current State: 26:[31, 5], Operations: ['29+2=31', '70/14=5']
Exploring Operation: 31-5=26, Resulting Numbers: [26]
26,26 equal: Goal Reached
| 4 |
[
8,
21,
86,
39
] | 19 | [
"86-8=78",
"78/39=2",
"21-2=19"
] | Current State: 19:[8, 21, 86, 39], Operations: []
Exploring Operation: 86-8=78, Resulting Numbers: [21, 39, 78]
Generated Node #2: [21, 39, 78] from Operation: 86-8=78
Current State: 19:[21, 39, 78], Operations: ['86-8=78']
Exploring Operation: 78/39=2, Resulting Numbers: [21, 2]
Generated Node #3: [21, 2] from Operation: 78/39=2
Current State: 19:[21, 2], Operations: ['86-8=78', '78/39=2']
Exploring Operation: 21-2=19, Resulting Numbers: [19]
19,19 equal: Goal Reached
| 4 |
[
71,
27,
4,
15
] | 74 | [
"27-15=12",
"12/4=3",
"71+3=74"
] | Current State: 74:[71, 27, 4, 15], Operations: []
Exploring Operation: 27-15=12, Resulting Numbers: [71, 4, 12]
Generated Node #2: [71, 4, 12] from Operation: 27-15=12
Current State: 74:[71, 4, 12], Operations: ['27-15=12']
Exploring Operation: 12/4=3, Resulting Numbers: [71, 3]
Generated Node #3: [71, 3] from Operation: 12/4=3
Current State: 74:[71, 3], Operations: ['27-15=12', '12/4=3']
Exploring Operation: 71+3=74, Resulting Numbers: [74]
74,74 equal: Goal Reached
| 4 |
[
6,
63,
45,
30
] | 72 | [
"63-6=57",
"45-30=15",
"57+15=72"
] | Current State: 72:[6, 63, 45, 30], Operations: []
Exploring Operation: 63-6=57, Resulting Numbers: [45, 30, 57]
Generated Node #2: [45, 30, 57] from Operation: 63-6=57
Current State: 72:[45, 30, 57], Operations: ['63-6=57']
Exploring Operation: 45-30=15, Resulting Numbers: [57, 15]
Generated Node #3: [57, 15] from Operation: 45-30=15
Current State: 72:[57, 15], Operations: ['63-6=57', '45-30=15']
Exploring Operation: 57+15=72, Resulting Numbers: [72]
72,72 equal: Goal Reached
| 4 |
[
35,
5,
13,
23
] | 66 | [
"35-5=30",
"13+23=36",
"30+36=66"
] | Current State: 66:[35, 5, 13, 23], Operations: []
Exploring Operation: 35-5=30, Resulting Numbers: [13, 23, 30]
Generated Node #2: [13, 23, 30] from Operation: 35-5=30
Current State: 66:[13, 23, 30], Operations: ['35-5=30']
Exploring Operation: 13+23=36, Resulting Numbers: [30, 36]
Generated Node #3: [30, 36] from Operation: 13+23=36
Current State: 66:[30, 36], Operations: ['35-5=30', '13+23=36']
Exploring Operation: 30+36=66, Resulting Numbers: [66]
66,66 equal: Goal Reached
| 4 |
[
89,
20,
86,
14
] | 18 | [
"89-86=3",
"20-14=6",
"3*6=18"
] | Current State: 18:[89, 20, 86, 14], Operations: []
Exploring Operation: 89-86=3, Resulting Numbers: [20, 14, 3]
Generated Node #2: [20, 14, 3] from Operation: 89-86=3
Current State: 18:[20, 14, 3], Operations: ['89-86=3']
Exploring Operation: 20-14=6, Resulting Numbers: [3, 6]
Generated Node #3: [3, 6] from Operation: 20-14=6
Current State: 18:[3, 6], Operations: ['89-86=3', '20-14=6']
Exploring Operation: 3*6=18, Resulting Numbers: [18]
18,18 equal: Goal Reached
| 4 |
[
29,
5,
17,
39
] | 19 | [
"39-29=10",
"10/5=2",
"17+2=19"
] | Current State: 19:[29, 5, 17, 39], Operations: []
Exploring Operation: 39-29=10, Resulting Numbers: [5, 17, 10]
Generated Node #2: [5, 17, 10] from Operation: 39-29=10
Current State: 19:[5, 17, 10], Operations: ['39-29=10']
Exploring Operation: 10/5=2, Resulting Numbers: [17, 2]
Generated Node #3: [17, 2] from Operation: 10/5=2
Current State: 19:[17, 2], Operations: ['39-29=10', '10/5=2']
Exploring Operation: 17+2=19, Resulting Numbers: [19]
19,19 equal: Goal Reached
| 4 |
[
84,
62,
93,
21
] | 74 | [
"84+62=146",
"93-21=72",
"146-72=74"
] | Current State: 74:[84, 62, 93, 21], Operations: []
Exploring Operation: 84+62=146, Resulting Numbers: [93, 21, 146]
Generated Node #2: [93, 21, 146] from Operation: 84+62=146
Current State: 74:[93, 21, 146], Operations: ['84+62=146']
Exploring Operation: 93-21=72, Resulting Numbers: [146, 72]
Generated Node #3: [146, 72] from Operation: 93-21=72
Current State: 74:[146, 72], Operations: ['84+62=146', '93-21=72']
Exploring Operation: 146-72=74, Resulting Numbers: [74]
74,74 equal: Goal Reached
| 4 |
[
16,
88,
19,
72
] | 29 | [
"88+72=160",
"160/16=10",
"19+10=29"
] | Current State: 29:[16, 88, 19, 72], Operations: []
Exploring Operation: 88+72=160, Resulting Numbers: [16, 19, 160]
Generated Node #2: [16, 19, 160] from Operation: 88+72=160
Current State: 29:[16, 19, 160], Operations: ['88+72=160']
Exploring Operation: 160/16=10, Resulting Numbers: [19, 10]
Generated Node #3: [19, 10] from Operation: 160/16=10
Current State: 29:[19, 10], Operations: ['88+72=160', '160/16=10']
Exploring Operation: 19+10=29, Resulting Numbers: [29]
29,29 equal: Goal Reached
| 4 |
[
9,
29,
36,
27
] | 41 | [
"9*36=324",
"324/27=12",
"29+12=41"
] | Current State: 41:[9, 29, 36, 27], Operations: []
Exploring Operation: 9*36=324, Resulting Numbers: [29, 27, 324]
Generated Node #2: [29, 27, 324] from Operation: 9*36=324
Current State: 41:[29, 27, 324], Operations: ['9*36=324']
Exploring Operation: 324/27=12, Resulting Numbers: [29, 12]
Generated Node #3: [29, 12] from Operation: 324/27=12
Current State: 41:[29, 12], Operations: ['9*36=324', '324/27=12']
Exploring Operation: 29+12=41, Resulting Numbers: [41]
41,41 equal: Goal Reached
| 4 |
[
49,
36,
92,
6
] | 37 | [
"92-49=43",
"36/6=6",
"43-6=37"
] | Current State: 37:[49, 36, 92, 6], Operations: []
Exploring Operation: 92-49=43, Resulting Numbers: [36, 6, 43]
Generated Node #2: [36, 6, 43] from Operation: 92-49=43
Current State: 37:[36, 6, 43], Operations: ['92-49=43']
Exploring Operation: 36/6=6, Resulting Numbers: [43, 6]
Generated Node #3: [43, 6] from Operation: 36/6=6
Current State: 37:[43, 6], Operations: ['92-49=43', '36/6=6']
Exploring Operation: 43-6=37, Resulting Numbers: [37]
37,37 equal: Goal Reached
| 4 |
[
43,
61,
68,
35
] | 85 | [
"61-43=18",
"68+35=103",
"103-18=85"
] | Current State: 85:[43, 61, 68, 35], Operations: []
Exploring Operation: 61-43=18, Resulting Numbers: [68, 35, 18]
Generated Node #2: [68, 35, 18] from Operation: 61-43=18
Current State: 85:[68, 35, 18], Operations: ['61-43=18']
Exploring Operation: 68+35=103, Resulting Numbers: [18, 103]
Generated Node #3: [18, 103] from Operation: 68+35=103
Current State: 85:[18, 103], Operations: ['61-43=18', '68+35=103']
Exploring Operation: 103-18=85, Resulting Numbers: [85]
85,85 equal: Goal Reached
| 4 |
[
16,
37,
32,
79
] | 80 | [
"16*79=1264",
"37*32=1184",
"1264-1184=80"
] | Current State: 80:[16, 37, 32, 79], Operations: []
Exploring Operation: 16*79=1264, Resulting Numbers: [37, 32, 1264]
Generated Node #2: [37, 32, 1264] from Operation: 16*79=1264
Current State: 80:[37, 32, 1264], Operations: ['16*79=1264']
Exploring Operation: 37*32=1184, Resulting Numbers: [1264, 1184]
Generated Node #3: [1264, 1184] from Operation: 37*32=1184
Current State: 80:[1264, 1184], Operations: ['16*79=1264', '37*32=1184']
Exploring Operation: 1264-1184=80, Resulting Numbers: [80]
80,80 equal: Goal Reached
| 4 |
[
76,
33,
7,
94
] | 93 | [
"94-76=18",
"7*18=126",
"126-33=93"
] | Current State: 93:[76, 33, 7, 94], Operations: []
Exploring Operation: 94-76=18, Resulting Numbers: [33, 7, 18]
Generated Node #2: [33, 7, 18] from Operation: 94-76=18
Current State: 93:[33, 7, 18], Operations: ['94-76=18']
Exploring Operation: 7*18=126, Resulting Numbers: [33, 126]
Generated Node #3: [33, 126] from Operation: 7*18=126
Current State: 93:[33, 126], Operations: ['94-76=18', '7*18=126']
Exploring Operation: 126-33=93, Resulting Numbers: [93]
93,93 equal: Goal Reached
| 4 |
[
51,
48,
17,
96
] | 48 | [
"51*48=2448",
"2448/17=144",
"144-96=48"
] | Current State: 48:[51, 48, 17, 96], Operations: []
Exploring Operation: 51*48=2448, Resulting Numbers: [17, 96, 2448]
Generated Node #2: [17, 96, 2448] from Operation: 51*48=2448
Current State: 48:[17, 96, 2448], Operations: ['51*48=2448']
Exploring Operation: 2448/17=144, Resulting Numbers: [96, 144]
Generated Node #3: [96, 144] from Operation: 2448/17=144
Current State: 48:[96, 144], Operations: ['51*48=2448', '2448/17=144']
Exploring Operation: 144-96=48, Resulting Numbers: [48]
48,48 equal: Goal Reached
| 4 |
[
74,
40,
60,
27
] | 92 | [
"40*27=1080",
"1080/60=18",
"74+18=92"
] | Current State: 92:[74, 40, 60, 27], Operations: []
Exploring Operation: 40*27=1080, Resulting Numbers: [74, 60, 1080]
Generated Node #2: [74, 60, 1080] from Operation: 40*27=1080
Current State: 92:[74, 60, 1080], Operations: ['40*27=1080']
Exploring Operation: 1080/60=18, Resulting Numbers: [74, 18]
Generated Node #3: [74, 18] from Operation: 1080/60=18
Current State: 92:[74, 18], Operations: ['40*27=1080', '1080/60=18']
Exploring Operation: 74+18=92, Resulting Numbers: [92]
92,92 equal: Goal Reached
| 4 |
[
51,
19,
56,
58
] | 22 | [
"19*56=1064",
"58+1064=1122",
"1122/51=22"
] | Current State: 22:[51, 19, 56, 58], Operations: []
Exploring Operation: 19*56=1064, Resulting Numbers: [51, 58, 1064]
Generated Node #2: [51, 58, 1064] from Operation: 19*56=1064
Current State: 22:[51, 58, 1064], Operations: ['19*56=1064']
Exploring Operation: 58+1064=1122, Resulting Numbers: [51, 1122]
Generated Node #3: [51, 1122] from Operation: 58+1064=1122
Current State: 22:[51, 1122], Operations: ['19*56=1064', '58+1064=1122']
Exploring Operation: 1122/51=22, Resulting Numbers: [22]
22,22 equal: Goal Reached
| 4 |
[
11,
17,
67,
5
] | 97 | [
"17-11=6",
"5*6=30",
"67+30=97"
] | Current State: 97:[11, 17, 67, 5], Operations: []
Exploring Operation: 17-11=6, Resulting Numbers: [67, 5, 6]
Generated Node #2: [67, 5, 6] from Operation: 17-11=6
Current State: 97:[67, 5, 6], Operations: ['17-11=6']
Exploring Operation: 5*6=30, Resulting Numbers: [67, 30]
Generated Node #3: [67, 30] from Operation: 5*6=30
Current State: 97:[67, 30], Operations: ['17-11=6', '5*6=30']
Exploring Operation: 67+30=97, Resulting Numbers: [97]
97,97 equal: Goal Reached
| 4 |
[
41,
49,
94,
14
] | 100 | [
"49-41=8",
"94+14=108",
"108-8=100"
] | Current State: 100:[41, 49, 94, 14], Operations: []
Exploring Operation: 49-41=8, Resulting Numbers: [94, 14, 8]
Generated Node #2: [94, 14, 8] from Operation: 49-41=8
Current State: 100:[94, 14, 8], Operations: ['49-41=8']
Exploring Operation: 94+14=108, Resulting Numbers: [8, 108]
Generated Node #3: [8, 108] from Operation: 94+14=108
Current State: 100:[8, 108], Operations: ['49-41=8', '94+14=108']
Exploring Operation: 108-8=100, Resulting Numbers: [100]
100,100 equal: Goal Reached
| 4 |
[
49,
21,
21,
54
] | 47 | [
"49-21=28",
"21+54=75",
"75-28=47"
] | Current State: 47:[49, 21, 21, 54], Operations: []
Exploring Operation: 49-21=28, Resulting Numbers: [54, 28]
Generated Node #2: [54, 28] from Operation: 49-21=28
Current State: 47:[54, 28], Operations: ['49-21=28']
Exploring Operation: 21+54=75, Resulting Numbers: [28, 75]
Generated Node #3: [28, 75] from Operation: 21+54=75
Current State: 47:[28, 75], Operations: ['49-21=28', '21+54=75']
Exploring Operation: 75-28=47, Resulting Numbers: [47]
47,47 equal: Goal Reached
| 4 |
[
63,
51,
55,
37
] | 11 | [
"63-55=8",
"51+37=88",
"88/8=11"
] | Current State: 11:[63, 51, 55, 37], Operations: []
Exploring Operation: 63-55=8, Resulting Numbers: [51, 37, 8]
Generated Node #2: [51, 37, 8] from Operation: 63-55=8
Current State: 11:[51, 37, 8], Operations: ['63-55=8']
Exploring Operation: 51+37=88, Resulting Numbers: [8, 88]
Generated Node #3: [8, 88] from Operation: 51+37=88
Current State: 11:[8, 88], Operations: ['63-55=8', '51+37=88']
Exploring Operation: 88/8=11, Resulting Numbers: [11]
11,11 equal: Goal Reached
| 4 |
[
7,
41,
10,
18
] | 69 | [
"10-7=3",
"41-18=23",
"3*23=69"
] | Current State: 69:[7, 41, 10, 18], Operations: []
Exploring Operation: 10-7=3, Resulting Numbers: [41, 18, 3]
Generated Node #2: [41, 18, 3] from Operation: 10-7=3
Current State: 69:[41, 18, 3], Operations: ['10-7=3']
Exploring Operation: 41-18=23, Resulting Numbers: [3, 23]
Generated Node #3: [3, 23] from Operation: 41-18=23
Current State: 69:[3, 23], Operations: ['10-7=3', '41-18=23']
Exploring Operation: 3*23=69, Resulting Numbers: [69]
69,69 equal: Goal Reached
| 4 |
[
2,
6,
55,
14
] | 42 | [
"14/2=7",
"55-6=49",
"49-7=42"
] | Current State: 42:[2, 6, 55, 14], Operations: []
Exploring Operation: 14/2=7, Resulting Numbers: [6, 55, 7]
Generated Node #2: [6, 55, 7] from Operation: 14/2=7
Current State: 42:[6, 55, 7], Operations: ['14/2=7']
Exploring Operation: 55-6=49, Resulting Numbers: [7, 49]
Generated Node #3: [7, 49] from Operation: 55-6=49
Current State: 42:[7, 49], Operations: ['14/2=7', '55-6=49']
Exploring Operation: 49-7=42, Resulting Numbers: [42]
42,42 equal: Goal Reached
| 4 |
[
63,
42,
96,
21
] | 54 | [
"63-42=21",
"96-21=75",
"75-21=54"
] | Current State: 54:[63, 42, 96, 21], Operations: []
Exploring Operation: 63-42=21, Resulting Numbers: [96, 21, 21]
Generated Node #2: [96, 21, 21] from Operation: 63-42=21
Current State: 54:[96, 21, 21], Operations: ['63-42=21']
Exploring Operation: 96-21=75, Resulting Numbers: [75]
75,54 equal: Goal Reached
Exploring Operation: 75-21=54, Resulting Numbers: [54]
54,54 equal: Goal Reached
| 4 |
[
2,
79,
45,
34
] | 70 | [
"2+79=81",
"45-34=11",
"81-11=70"
] | Current State: 70:[2, 79, 45, 34], Operations: []
Exploring Operation: 2+79=81, Resulting Numbers: [45, 34, 81]
Generated Node #2: [45, 34, 81] from Operation: 2+79=81
Current State: 70:[45, 34, 81], Operations: ['2+79=81']
Exploring Operation: 45-34=11, Resulting Numbers: [81, 11]
Generated Node #3: [81, 11] from Operation: 45-34=11
Current State: 70:[81, 11], Operations: ['2+79=81', '45-34=11']
Exploring Operation: 81-11=70, Resulting Numbers: [70]
70,70 equal: Goal Reached
| 4 |
[
92,
39,
86,
86
] | 52 | [
"92-39=53",
"86/86=1",
"53-1=52"
] | Current State: 52:[92, 39, 86, 86], Operations: []
Exploring Operation: 92-39=53, Resulting Numbers: [86, 86, 53]
Generated Node #2: [86, 86, 53] from Operation: 92-39=53
Current State: 52:[86, 86, 53], Operations: ['92-39=53']
Exploring Operation: 86/86=1, Resulting Numbers: [53, 1]
Generated Node #3: [53, 1] from Operation: 86/86=1
Current State: 52:[53, 1], Operations: ['92-39=53', '86/86=1']
Exploring Operation: 53-1=52, Resulting Numbers: [52]
52,52 equal: Goal Reached
| 4 |
[
98,
7,
45,
41
] | 100 | [
"98/7=14",
"45+41=86",
"14+86=100"
] | Current State: 100:[98, 7, 45, 41], Operations: []
Exploring Operation: 98/7=14, Resulting Numbers: [45, 41, 14]
Generated Node #2: [45, 41, 14] from Operation: 98/7=14
Current State: 100:[45, 41, 14], Operations: ['98/7=14']
Exploring Operation: 45+41=86, Resulting Numbers: [14, 86]
Generated Node #3: [14, 86] from Operation: 45+41=86
Current State: 100:[14, 86], Operations: ['98/7=14', '45+41=86']
Exploring Operation: 14+86=100, Resulting Numbers: [100]
100,100 equal: Goal Reached
| 4 |
[
22,
46,
77,
24
] | 54 | [
"24-22=2",
"46/2=23",
"77-23=54"
] | Current State: 54:[22, 46, 77, 24], Operations: []
Exploring Operation: 24-22=2, Resulting Numbers: [46, 77, 2]
Generated Node #2: [46, 77, 2] from Operation: 24-22=2
Current State: 54:[46, 77, 2], Operations: ['24-22=2']
Exploring Operation: 46/2=23, Resulting Numbers: [77, 23]
Generated Node #3: [77, 23] from Operation: 46/2=23
Current State: 54:[77, 23], Operations: ['24-22=2', '46/2=23']
Exploring Operation: 77-23=54, Resulting Numbers: [54]
54,54 equal: Goal Reached
| 4 |
[
87,
24,
38,
30
] | 100 | [
"87+38=125",
"24*125=3000",
"3000/30=100"
] | Current State: 100:[87, 24, 38, 30], Operations: []
Exploring Operation: 87+38=125, Resulting Numbers: [24, 30, 125]
Generated Node #2: [24, 30, 125] from Operation: 87+38=125
Current State: 100:[24, 30, 125], Operations: ['87+38=125']
Exploring Operation: 24*125=3000, Resulting Numbers: [30, 3000]
Generated Node #3: [30, 3000] from Operation: 24*125=3000
Current State: 100:[30, 3000], Operations: ['87+38=125', '24*125=3000']
Exploring Operation: 3000/30=100, Resulting Numbers: [100]
100,100 equal: Goal Reached
| 4 |
[
84,
60,
41,
58
] | 75 | [
"84-60=24",
"41+58=99",
"99-24=75"
] | Current State: 75:[84, 60, 41, 58], Operations: []
Exploring Operation: 84-60=24, Resulting Numbers: [41, 58, 24]
Generated Node #2: [41, 58, 24] from Operation: 84-60=24
Current State: 75:[41, 58, 24], Operations: ['84-60=24']
Exploring Operation: 41+58=99, Resulting Numbers: [24, 99]
Generated Node #3: [24, 99] from Operation: 41+58=99
Current State: 75:[24, 99], Operations: ['84-60=24', '41+58=99']
Exploring Operation: 99-24=75, Resulting Numbers: [75]
75,75 equal: Goal Reached
| 4 |
[
16,
11,
47,
4
] | 67 | [
"16-11=5",
"4*5=20",
"47+20=67"
] | Current State: 67:[16, 11, 47, 4], Operations: []
Exploring Operation: 16-11=5, Resulting Numbers: [47, 4, 5]
Generated Node #2: [47, 4, 5] from Operation: 16-11=5
Current State: 67:[47, 4, 5], Operations: ['16-11=5']
Exploring Operation: 4*5=20, Resulting Numbers: [47, 20]
Generated Node #3: [47, 20] from Operation: 4*5=20
Current State: 67:[47, 20], Operations: ['16-11=5', '4*5=20']
Exploring Operation: 47+20=67, Resulting Numbers: [67]
67,67 equal: Goal Reached
| 4 |
[
94,
20,
96,
5
] | 13 | [
"94+20=114",
"96+5=101",
"114-101=13"
] | Current State: 13:[94, 20, 96, 5], Operations: []
Exploring Operation: 94+20=114, Resulting Numbers: [96, 5, 114]
Generated Node #2: [96, 5, 114] from Operation: 94+20=114
Current State: 13:[96, 5, 114], Operations: ['94+20=114']
Exploring Operation: 96+5=101, Resulting Numbers: [114, 101]
Generated Node #3: [114, 101] from Operation: 96+5=101
Current State: 13:[114, 101], Operations: ['94+20=114', '96+5=101']
Exploring Operation: 114-101=13, Resulting Numbers: [13]
13,13 equal: Goal Reached
| 4 |
[
87,
10,
90,
29
] | 20 | [
"87/29=3",
"90/3=30",
"30-10=20"
] | Current State: 20:[87, 10, 90, 29], Operations: []
Exploring Operation: 87/29=3, Resulting Numbers: [10, 90, 3]
Generated Node #2: [10, 90, 3] from Operation: 87/29=3
Current State: 20:[10, 90, 3], Operations: ['87/29=3']
Exploring Operation: 90/3=30, Resulting Numbers: [10, 30]
Generated Node #3: [10, 30] from Operation: 90/3=30
Current State: 20:[10, 30], Operations: ['87/29=3', '90/3=30']
Exploring Operation: 30-10=20, Resulting Numbers: [20]
20,20 equal: Goal Reached
| 4 |
[
4,
98,
12,
81
] | 31 | [
"4*12=48",
"98-81=17",
"48-17=31"
] | Current State: 31:[4, 98, 12, 81], Operations: []
Exploring Operation: 4*12=48, Resulting Numbers: [98, 81, 48]
Generated Node #2: [98, 81, 48] from Operation: 4*12=48
Current State: 31:[98, 81, 48], Operations: ['4*12=48']
Exploring Operation: 98-81=17, Resulting Numbers: [48, 17]
Generated Node #3: [48, 17] from Operation: 98-81=17
Current State: 31:[48, 17], Operations: ['4*12=48', '98-81=17']
Exploring Operation: 48-17=31, Resulting Numbers: [31]
31,31 equal: Goal Reached
| 4 |
[
40,
4,
10,
21
] | 80 | [
"40/10=4",
"4*21=84",
"84-4=80"
] | Current State: 80:[40, 4, 10, 21], Operations: []
Exploring Operation: 40/10=4, Resulting Numbers: [4, 21, 4]
Generated Node #2: [4, 21, 4] from Operation: 40/10=4
Current State: 80:[4, 21, 4], Operations: ['40/10=4']
Exploring Operation: 4*21=84, Resulting Numbers: [84]
84,80 equal: Goal Reached
Exploring Operation: 84-4=80, Resulting Numbers: [80]
80,80 equal: Goal Reached
| 4 |
[
16,
7,
90,
39
] | 74 | [
"16+7=23",
"90-39=51",
"23+51=74"
] | Current State: 74:[16, 7, 90, 39], Operations: []
Exploring Operation: 16+7=23, Resulting Numbers: [90, 39, 23]
Generated Node #2: [90, 39, 23] from Operation: 16+7=23
Current State: 74:[90, 39, 23], Operations: ['16+7=23']
Exploring Operation: 90-39=51, Resulting Numbers: [23, 51]
Generated Node #3: [23, 51] from Operation: 90-39=51
Current State: 74:[23, 51], Operations: ['16+7=23', '90-39=51']
Exploring Operation: 23+51=74, Resulting Numbers: [74]
74,74 equal: Goal Reached
| 4 |
[
9,
27,
83,
65
] | 54 | [
"9+27=36",
"83-65=18",
"36+18=54"
] | Current State: 54:[9, 27, 83, 65], Operations: []
Exploring Operation: 9+27=36, Resulting Numbers: [83, 65, 36]
Generated Node #2: [83, 65, 36] from Operation: 9+27=36
Current State: 54:[83, 65, 36], Operations: ['9+27=36']
Exploring Operation: 83-65=18, Resulting Numbers: [36, 18]
Generated Node #3: [36, 18] from Operation: 83-65=18
Current State: 54:[36, 18], Operations: ['9+27=36', '83-65=18']
Exploring Operation: 36+18=54, Resulting Numbers: [54]
54,54 equal: Goal Reached
| 4 |
[
37,
52,
15,
30
] | 13 | [
"52-37=15",
"30/15=2",
"15-2=13"
] | Current State: 13:[37, 52, 15, 30], Operations: []
Exploring Operation: 52-37=15, Resulting Numbers: [15, 30, 15]
Generated Node #2: [15, 30, 15] from Operation: 52-37=15
Current State: 13:[15, 30, 15], Operations: ['52-37=15']
Exploring Operation: 30/15=2, Resulting Numbers: [2]
2,13 equal: Goal Reached
Exploring Operation: 15-2=13, Resulting Numbers: [13]
13,13 equal: Goal Reached
| 4 |
[
69,
5,
23,
24
] | 67 | [
"69/23=3",
"24*3=72",
"72-5=67"
] | Current State: 67:[69, 5, 23, 24], Operations: []
Exploring Operation: 69/23=3, Resulting Numbers: [5, 24, 3]
Generated Node #2: [5, 24, 3] from Operation: 69/23=3
Current State: 67:[5, 24, 3], Operations: ['69/23=3']
Exploring Operation: 24*3=72, Resulting Numbers: [5, 72]
Generated Node #3: [5, 72] from Operation: 24*3=72
Current State: 67:[5, 72], Operations: ['69/23=3', '24*3=72']
Exploring Operation: 72-5=67, Resulting Numbers: [67]
67,67 equal: Goal Reached
| 4 |
[
46,
23,
63,
65
] | 67 | [
"46+23=69",
"65-63=2",
"69-2=67"
] | Current State: 67:[46, 23, 63, 65], Operations: []
Exploring Operation: 46+23=69, Resulting Numbers: [63, 65, 69]
Generated Node #2: [63, 65, 69] from Operation: 46+23=69
Current State: 67:[63, 65, 69], Operations: ['46+23=69']
Exploring Operation: 65-63=2, Resulting Numbers: [69, 2]
Generated Node #3: [69, 2] from Operation: 65-63=2
Current State: 67:[69, 2], Operations: ['46+23=69', '65-63=2']
Exploring Operation: 69-2=67, Resulting Numbers: [67]
67,67 equal: Goal Reached
| 4 |
[
71,
25,
77,
55
] | 86 | [
"71-25=46",
"77+55=132",
"132-46=86"
] | Current State: 86:[71, 25, 77, 55], Operations: []
Exploring Operation: 71-25=46, Resulting Numbers: [77, 55, 46]
Generated Node #2: [77, 55, 46] from Operation: 71-25=46
Current State: 86:[77, 55, 46], Operations: ['71-25=46']
Exploring Operation: 77+55=132, Resulting Numbers: [46, 132]
Generated Node #3: [46, 132] from Operation: 77+55=132
Current State: 86:[46, 132], Operations: ['71-25=46', '77+55=132']
Exploring Operation: 132-46=86, Resulting Numbers: [86]
86,86 equal: Goal Reached
| 4 |
[
35,
61,
23,
12
] | 13 | [
"35*23=805",
"805-12=793",
"793/61=13"
] | Current State: 13:[35, 61, 23, 12], Operations: []
Exploring Operation: 35*23=805, Resulting Numbers: [61, 12, 805]
Generated Node #2: [61, 12, 805] from Operation: 35*23=805
Current State: 13:[61, 12, 805], Operations: ['35*23=805']
Exploring Operation: 805-12=793, Resulting Numbers: [61, 793]
Generated Node #3: [61, 793] from Operation: 805-12=793
Current State: 13:[61, 793], Operations: ['35*23=805', '805-12=793']
Exploring Operation: 793/61=13, Resulting Numbers: [13]
13,13 equal: Goal Reached
| 4 |
[
83,
13,
5,
87
] | 61 | [
"87-83=4",
"13*5=65",
"65-4=61"
] | Current State: 61:[83, 13, 5, 87], Operations: []
Exploring Operation: 87-83=4, Resulting Numbers: [13, 5, 4]
Generated Node #2: [13, 5, 4] from Operation: 87-83=4
Current State: 61:[13, 5, 4], Operations: ['87-83=4']
Exploring Operation: 13*5=65, Resulting Numbers: [4, 65]
Generated Node #3: [4, 65] from Operation: 13*5=65
Current State: 61:[4, 65], Operations: ['87-83=4', '13*5=65']
Exploring Operation: 65-4=61, Resulting Numbers: [61]
61,61 equal: Goal Reached
| 4 |
[
48,
76,
15,
78
] | 31 | [
"48+76=124",
"15+78=93",
"124-93=31"
] | Current State: 31:[48, 76, 15, 78], Operations: []
Exploring Operation: 48+76=124, Resulting Numbers: [15, 78, 124]
Generated Node #2: [15, 78, 124] from Operation: 48+76=124
Current State: 31:[15, 78, 124], Operations: ['48+76=124']
Exploring Operation: 15+78=93, Resulting Numbers: [124, 93]
Generated Node #3: [124, 93] from Operation: 15+78=93
Current State: 31:[124, 93], Operations: ['48+76=124', '15+78=93']
Exploring Operation: 124-93=31, Resulting Numbers: [31]
31,31 equal: Goal Reached
| 4 |
[
3,
12,
44,
40
] | 29 | [
"12/3=4",
"44/4=11",
"40-11=29"
] | Current State: 29:[3, 12, 44, 40], Operations: []
Exploring Operation: 12/3=4, Resulting Numbers: [44, 40, 4]
Generated Node #2: [44, 40, 4] from Operation: 12/3=4
Current State: 29:[44, 40, 4], Operations: ['12/3=4']
Exploring Operation: 44/4=11, Resulting Numbers: [40, 11]
Generated Node #3: [40, 11] from Operation: 44/4=11
Current State: 29:[40, 11], Operations: ['12/3=4', '44/4=11']
Exploring Operation: 40-11=29, Resulting Numbers: [29]
29,29 equal: Goal Reached
| 4 |
[
88,
6,
62,
12
] | 18 | [
"88*6=528",
"528/12=44",
"62-44=18"
] | Current State: 18:[88, 6, 62, 12], Operations: []
Exploring Operation: 88*6=528, Resulting Numbers: [62, 12, 528]
Generated Node #2: [62, 12, 528] from Operation: 88*6=528
Current State: 18:[62, 12, 528], Operations: ['88*6=528']
Exploring Operation: 528/12=44, Resulting Numbers: [62, 44]
Generated Node #3: [62, 44] from Operation: 528/12=44
Current State: 18:[62, 44], Operations: ['88*6=528', '528/12=44']
Exploring Operation: 62-44=18, Resulting Numbers: [18]
18,18 equal: Goal Reached
| 4 |
[
2,
28,
18,
68
] | 57 | [
"28+18=46",
"68+46=114",
"114/2=57"
] | Current State: 57:[2, 28, 18, 68], Operations: []
Exploring Operation: 28+18=46, Resulting Numbers: [2, 68, 46]
Generated Node #2: [2, 68, 46] from Operation: 28+18=46
Current State: 57:[2, 68, 46], Operations: ['28+18=46']
Exploring Operation: 68+46=114, Resulting Numbers: [2, 114]
Generated Node #3: [2, 114] from Operation: 68+46=114
Current State: 57:[2, 114], Operations: ['28+18=46', '68+46=114']
Exploring Operation: 114/2=57, Resulting Numbers: [57]
57,57 equal: Goal Reached
| 4 |
[
7,
62,
47,
19
] | 83 | [
"62-7=55",
"47-19=28",
"55+28=83"
] | Current State: 83:[7, 62, 47, 19], Operations: []
Exploring Operation: 62-7=55, Resulting Numbers: [47, 19, 55]
Generated Node #2: [47, 19, 55] from Operation: 62-7=55
Current State: 83:[47, 19, 55], Operations: ['62-7=55']
Exploring Operation: 47-19=28, Resulting Numbers: [55, 28]
Generated Node #3: [55, 28] from Operation: 47-19=28
Current State: 83:[55, 28], Operations: ['62-7=55', '47-19=28']
Exploring Operation: 55+28=83, Resulting Numbers: [83]
83,83 equal: Goal Reached
| 4 |
[
89,
76,
52,
70
] | 43 | [
"89+76=165",
"52+70=122",
"165-122=43"
] | Current State: 43:[89, 76, 52, 70], Operations: []
Exploring Operation: 89+76=165, Resulting Numbers: [52, 70, 165]
Generated Node #2: [52, 70, 165] from Operation: 89+76=165
Current State: 43:[52, 70, 165], Operations: ['89+76=165']
Exploring Operation: 52+70=122, Resulting Numbers: [165, 122]
Generated Node #3: [165, 122] from Operation: 52+70=122
Current State: 43:[165, 122], Operations: ['89+76=165', '52+70=122']
Exploring Operation: 165-122=43, Resulting Numbers: [43]
43,43 equal: Goal Reached
| 4 |
[
46,
90,
32,
76
] | 29 | [
"76-46=30",
"90/30=3",
"32-3=29"
] | Current State: 29:[46, 90, 32, 76], Operations: []
Exploring Operation: 76-46=30, Resulting Numbers: [90, 32, 30]
Generated Node #2: [90, 32, 30] from Operation: 76-46=30
Current State: 29:[90, 32, 30], Operations: ['76-46=30']
Exploring Operation: 90/30=3, Resulting Numbers: [32, 3]
Generated Node #3: [32, 3] from Operation: 90/30=3
Current State: 29:[32, 3], Operations: ['76-46=30', '90/30=3']
Exploring Operation: 32-3=29, Resulting Numbers: [29]
29,29 equal: Goal Reached
| 4 |
[
93,
56,
27,
15
] | 14 | [
"93+15=108",
"56*27=1512",
"1512/108=14"
] | Current State: 14:[93, 56, 27, 15], Operations: []
Exploring Operation: 93+15=108, Resulting Numbers: [56, 27, 108]
Generated Node #2: [56, 27, 108] from Operation: 93+15=108
Current State: 14:[56, 27, 108], Operations: ['93+15=108']
Exploring Operation: 56*27=1512, Resulting Numbers: [108, 1512]
Generated Node #3: [108, 1512] from Operation: 56*27=1512
Current State: 14:[108, 1512], Operations: ['93+15=108', '56*27=1512']
Exploring Operation: 1512/108=14, Resulting Numbers: [14]
14,14 equal: Goal Reached
| 4 |
[
12,
96,
83,
82
] | 85 | [
"96-12=84",
"83-82=1",
"84+1=85"
] | Current State: 85:[12, 96, 83, 82], Operations: []
Exploring Operation: 96-12=84, Resulting Numbers: [83, 82, 84]
Generated Node #2: [83, 82, 84] from Operation: 96-12=84
Current State: 85:[83, 82, 84], Operations: ['96-12=84']
Exploring Operation: 83-82=1, Resulting Numbers: [84, 1]
Generated Node #3: [84, 1] from Operation: 83-82=1
Current State: 85:[84, 1], Operations: ['96-12=84', '83-82=1']
Exploring Operation: 84+1=85, Resulting Numbers: [85]
85,85 equal: Goal Reached
| 4 |
[
33,
44,
59,
5
] | 23 | [
"33+44=77",
"59-5=54",
"77-54=23"
] | Current State: 23:[33, 44, 59, 5], Operations: []
Exploring Operation: 33+44=77, Resulting Numbers: [59, 5, 77]
Generated Node #2: [59, 5, 77] from Operation: 33+44=77
Current State: 23:[59, 5, 77], Operations: ['33+44=77']
Exploring Operation: 59-5=54, Resulting Numbers: [77, 54]
Generated Node #3: [77, 54] from Operation: 59-5=54
Current State: 23:[77, 54], Operations: ['33+44=77', '59-5=54']
Exploring Operation: 77-54=23, Resulting Numbers: [23]
23,23 equal: Goal Reached
| 4 |
[
11,
22,
44,
15
] | 92 | [
"11+22=33",
"44+15=59",
"33+59=92"
] | Current State: 92:[11, 22, 44, 15], Operations: []
Exploring Operation: 11+22=33, Resulting Numbers: [44, 15, 33]
Generated Node #2: [44, 15, 33] from Operation: 11+22=33
Current State: 92:[44, 15, 33], Operations: ['11+22=33']
Exploring Operation: 44+15=59, Resulting Numbers: [33, 59]
Generated Node #3: [33, 59] from Operation: 44+15=59
Current State: 92:[33, 59], Operations: ['11+22=33', '44+15=59']
Exploring Operation: 33+59=92, Resulting Numbers: [92]
92,92 equal: Goal Reached
| 4 |
[
88,
70,
92,
3
] | 12 | [
"88*3=264",
"92-70=22",
"264/22=12"
] | Current State: 12:[88, 70, 92, 3], Operations: []
Exploring Operation: 88*3=264, Resulting Numbers: [70, 92, 264]
Generated Node #2: [70, 92, 264] from Operation: 88*3=264
Current State: 12:[70, 92, 264], Operations: ['88*3=264']
Exploring Operation: 92-70=22, Resulting Numbers: [264, 22]
Generated Node #3: [264, 22] from Operation: 92-70=22
Current State: 12:[264, 22], Operations: ['88*3=264', '92-70=22']
Exploring Operation: 264/22=12, Resulting Numbers: [12]
12,12 equal: Goal Reached
| 4 |
[
73,
40,
8,
88
] | 57 | [
"40+88=128",
"128/8=16",
"73-16=57"
] | Current State: 57:[73, 40, 8, 88], Operations: []
Exploring Operation: 40+88=128, Resulting Numbers: [73, 8, 128]
Generated Node #2: [73, 8, 128] from Operation: 40+88=128
Current State: 57:[73, 8, 128], Operations: ['40+88=128']
Exploring Operation: 128/8=16, Resulting Numbers: [73, 16]
Generated Node #3: [73, 16] from Operation: 128/8=16
Current State: 57:[73, 16], Operations: ['40+88=128', '128/8=16']
Exploring Operation: 73-16=57, Resulting Numbers: [57]
57,57 equal: Goal Reached
| 4 |
[
21,
98,
46,
14
] | 18 | [
"46-21=25",
"98/14=7",
"25-7=18"
] | Current State: 18:[21, 98, 46, 14], Operations: []
Exploring Operation: 46-21=25, Resulting Numbers: [98, 14, 25]
Generated Node #2: [98, 14, 25] from Operation: 46-21=25
Current State: 18:[98, 14, 25], Operations: ['46-21=25']
Exploring Operation: 98/14=7, Resulting Numbers: [25, 7]
Generated Node #3: [25, 7] from Operation: 98/14=7
Current State: 18:[25, 7], Operations: ['46-21=25', '98/14=7']
Exploring Operation: 25-7=18, Resulting Numbers: [18]
18,18 equal: Goal Reached
| 4 |
[
34,
34,
4,
90
] | 90 | [
"34-34=0",
"4*0=0",
"90+0=90"
] | Current State: 90:[34, 34, 4, 90], Operations: []
Exploring Operation: 34-34=0, Resulting Numbers: [4, 90, 0]
Generated Node #2: [4, 90, 0] from Operation: 34-34=0
Current State: 90:[4, 90, 0], Operations: ['34-34=0']
Exploring Operation: 4*0=0, Resulting Numbers: [90, 0]
Generated Node #3: [90, 0] from Operation: 4*0=0
Current State: 90:[90, 0], Operations: ['34-34=0', '4*0=0']
Exploring Operation: 90+0=90, Resulting Numbers: [90]
90,90 equal: Goal Reached
| 4 |
[
54,
78,
75,
13
] | 70 | [
"54+78=132",
"75-13=62",
"132-62=70"
] | Current State: 70:[54, 78, 75, 13], Operations: []
Exploring Operation: 54+78=132, Resulting Numbers: [75, 13, 132]
Generated Node #2: [75, 13, 132] from Operation: 54+78=132
Current State: 70:[75, 13, 132], Operations: ['54+78=132']
Exploring Operation: 75-13=62, Resulting Numbers: [132, 62]
Generated Node #3: [132, 62] from Operation: 75-13=62
Current State: 70:[132, 62], Operations: ['54+78=132', '75-13=62']
Exploring Operation: 132-62=70, Resulting Numbers: [70]
70,70 equal: Goal Reached
| 4 |
[
16,
74,
11,
31
] | 11 | [
"16+74=90",
"31+90=121",
"121/11=11"
] | Current State: 11:[16, 74, 11, 31], Operations: []
Exploring Operation: 16+74=90, Resulting Numbers: [11, 31, 90]
Generated Node #2: [11, 31, 90] from Operation: 16+74=90
Current State: 11:[11, 31, 90], Operations: ['16+74=90']
Exploring Operation: 31+90=121, Resulting Numbers: [11, 121]
Generated Node #3: [11, 121] from Operation: 31+90=121
Current State: 11:[11, 121], Operations: ['16+74=90', '31+90=121']
Exploring Operation: 121/11=11, Resulting Numbers: [11]
11,11 equal: Goal Reached
| 4 |
[
68,
26,
26,
30
] | 14 | [
"68-26=42",
"26+30=56",
"56-42=14"
] | Current State: 14:[68, 26, 26, 30], Operations: []
Exploring Operation: 68-26=42, Resulting Numbers: [30, 42]
Generated Node #2: [30, 42] from Operation: 68-26=42
Current State: 14:[30, 42], Operations: ['68-26=42']
Exploring Operation: 26+30=56, Resulting Numbers: [42, 56]
Generated Node #3: [42, 56] from Operation: 26+30=56
Current State: 14:[42, 56], Operations: ['68-26=42', '26+30=56']
Exploring Operation: 56-42=14, Resulting Numbers: [14]
14,14 equal: Goal Reached
| 4 |
[
29,
36,
6,
70
] | 57 | [
"36-29=7",
"70-6=64",
"64-7=57"
] | Current State: 57:[29, 36, 6, 70], Operations: []
Exploring Operation: 36-29=7, Resulting Numbers: [6, 70, 7]
Generated Node #2: [6, 70, 7] from Operation: 36-29=7
Current State: 57:[6, 70, 7], Operations: ['36-29=7']
Exploring Operation: 70-6=64, Resulting Numbers: [7, 64]
Generated Node #3: [7, 64] from Operation: 70-6=64
Current State: 57:[7, 64], Operations: ['36-29=7', '70-6=64']
Exploring Operation: 64-7=57, Resulting Numbers: [57]
57,57 equal: Goal Reached
| 4 |
[
43,
93,
69,
29
] | 48 | [
"93-43=50",
"69+29=98",
"98-50=48"
] | Current State: 48:[43, 93, 69, 29], Operations: []
Exploring Operation: 93-43=50, Resulting Numbers: [69, 29, 50]
Generated Node #2: [69, 29, 50] from Operation: 93-43=50
Current State: 48:[69, 29, 50], Operations: ['93-43=50']
Exploring Operation: 69+29=98, Resulting Numbers: [50, 98]
Generated Node #3: [50, 98] from Operation: 69+29=98
Current State: 48:[50, 98], Operations: ['93-43=50', '69+29=98']
Exploring Operation: 98-50=48, Resulting Numbers: [48]
48,48 equal: Goal Reached
| 4 |
[
34,
3,
29,
51
] | 85 | [
"34-29=5",
"51/3=17",
"5*17=85"
] | Current State: 85:[34, 3, 29, 51], Operations: []
Exploring Operation: 34-29=5, Resulting Numbers: [3, 51, 5]
Generated Node #2: [3, 51, 5] from Operation: 34-29=5
Current State: 85:[3, 51, 5], Operations: ['34-29=5']
Exploring Operation: 51/3=17, Resulting Numbers: [5, 17]
Generated Node #3: [5, 17] from Operation: 51/3=17
Current State: 85:[5, 17], Operations: ['34-29=5', '51/3=17']
Exploring Operation: 5*17=85, Resulting Numbers: [85]
85,85 equal: Goal Reached
| 4 |
[
58,
66,
57,
37
] | 12 | [
"66-58=8",
"57-37=20",
"20-8=12"
] | Current State: 12:[58, 66, 57, 37], Operations: []
Exploring Operation: 66-58=8, Resulting Numbers: [57, 37, 8]
Generated Node #2: [57, 37, 8] from Operation: 66-58=8
Current State: 12:[57, 37, 8], Operations: ['66-58=8']
Exploring Operation: 57-37=20, Resulting Numbers: [8, 20]
Generated Node #3: [8, 20] from Operation: 57-37=20
Current State: 12:[8, 20], Operations: ['66-58=8', '57-37=20']
Exploring Operation: 20-8=12, Resulting Numbers: [12]
12,12 equal: Goal Reached
| 4 |
[
87,
80,
86,
47
] | 43 | [
"87-47=40",
"80/40=2",
"86/2=43"
] | Current State: 43:[87, 80, 86, 47], Operations: []
Exploring Operation: 87-47=40, Resulting Numbers: [80, 86, 40]
Generated Node #2: [80, 86, 40] from Operation: 87-47=40
Current State: 43:[80, 86, 40], Operations: ['87-47=40']
Exploring Operation: 80/40=2, Resulting Numbers: [86, 2]
Generated Node #3: [86, 2] from Operation: 80/40=2
Current State: 43:[86, 2], Operations: ['87-47=40', '80/40=2']
Exploring Operation: 86/2=43, Resulting Numbers: [43]
43,43 equal: Goal Reached
| 4 |
[
36,
6,
70,
71
] | 29 | [
"36-6=30",
"71-70=1",
"30-1=29"
] | Current State: 29:[36, 6, 70, 71], Operations: []
Exploring Operation: 36-6=30, Resulting Numbers: [70, 71, 30]
Generated Node #2: [70, 71, 30] from Operation: 36-6=30
Current State: 29:[70, 71, 30], Operations: ['36-6=30']
Exploring Operation: 71-70=1, Resulting Numbers: [30, 1]
Generated Node #3: [30, 1] from Operation: 71-70=1
Current State: 29:[30, 1], Operations: ['36-6=30', '71-70=1']
Exploring Operation: 30-1=29, Resulting Numbers: [29]
29,29 equal: Goal Reached
| 4 |
[
55,
21,
48,
50
] | 89 | [
"50-48=2",
"55*2=110",
"110-21=89"
] | Current State: 89:[55, 21, 48, 50], Operations: []
Exploring Operation: 50-48=2, Resulting Numbers: [55, 21, 2]
Generated Node #2: [55, 21, 2] from Operation: 50-48=2
Current State: 89:[55, 21, 2], Operations: ['50-48=2']
Exploring Operation: 55*2=110, Resulting Numbers: [21, 110]
Generated Node #3: [21, 110] from Operation: 55*2=110
Current State: 89:[21, 110], Operations: ['50-48=2', '55*2=110']
Exploring Operation: 110-21=89, Resulting Numbers: [89]
89,89 equal: Goal Reached
| 4 |
[
8,
56,
19,
2
] | 59 | [
"8*2=16",
"56+19=75",
"75-16=59"
] | Current State: 59:[8, 56, 19, 2], Operations: []
Exploring Operation: 8*2=16, Resulting Numbers: [56, 19, 16]
Generated Node #2: [56, 19, 16] from Operation: 8*2=16
Current State: 59:[56, 19, 16], Operations: ['8*2=16']
Exploring Operation: 56+19=75, Resulting Numbers: [16, 75]
Generated Node #3: [16, 75] from Operation: 56+19=75
Current State: 59:[16, 75], Operations: ['8*2=16', '56+19=75']
Exploring Operation: 75-16=59, Resulting Numbers: [59]
59,59 equal: Goal Reached
| 4 |
[
74,
12,
97,
88
] | 30 | [
"97+88=185",
"12*185=2220",
"2220/74=30"
] | Current State: 30:[74, 12, 97, 88], Operations: []
Exploring Operation: 97+88=185, Resulting Numbers: [74, 12, 185]
Generated Node #2: [74, 12, 185] from Operation: 97+88=185
Current State: 30:[74, 12, 185], Operations: ['97+88=185']
Exploring Operation: 12*185=2220, Resulting Numbers: [74, 2220]
Generated Node #3: [74, 2220] from Operation: 12*185=2220
Current State: 30:[74, 2220], Operations: ['97+88=185', '12*185=2220']
Exploring Operation: 2220/74=30, Resulting Numbers: [30]
30,30 equal: Goal Reached
| 4 |
[
42,
6,
14,
21
] | 91 | [
"14*21=294",
"294/6=49",
"42+49=91"
] | Current State: 91:[42, 6, 14, 21], Operations: []
Exploring Operation: 14*21=294, Resulting Numbers: [42, 6, 294]
Generated Node #2: [42, 6, 294] from Operation: 14*21=294
Current State: 91:[42, 6, 294], Operations: ['14*21=294']
Exploring Operation: 294/6=49, Resulting Numbers: [42, 49]
Generated Node #3: [42, 49] from Operation: 294/6=49
Current State: 91:[42, 49], Operations: ['14*21=294', '294/6=49']
Exploring Operation: 42+49=91, Resulting Numbers: [91]
91,91 equal: Goal Reached
| 4 |
[
42,
24,
33,
54
] | 29 | [
"42+54=96",
"96/24=4",
"33-4=29"
] | Current State: 29:[42, 24, 33, 54], Operations: []
Exploring Operation: 42+54=96, Resulting Numbers: [24, 33, 96]
Generated Node #2: [24, 33, 96] from Operation: 42+54=96
Current State: 29:[24, 33, 96], Operations: ['42+54=96']
Exploring Operation: 96/24=4, Resulting Numbers: [33, 4]
Generated Node #3: [33, 4] from Operation: 96/24=4
Current State: 29:[33, 4], Operations: ['42+54=96', '96/24=4']
Exploring Operation: 33-4=29, Resulting Numbers: [29]
29,29 equal: Goal Reached
| 4 |
[
32,
20,
73,
55
] | 76 | [
"32+20=52",
"73+55=128",
"128-52=76"
] | Current State: 76:[32, 20, 73, 55], Operations: []
Exploring Operation: 32+20=52, Resulting Numbers: [73, 55, 52]
Generated Node #2: [73, 55, 52] from Operation: 32+20=52
Current State: 76:[73, 55, 52], Operations: ['32+20=52']
Exploring Operation: 73+55=128, Resulting Numbers: [52, 128]
Generated Node #3: [52, 128] from Operation: 73+55=128
Current State: 76:[52, 128], Operations: ['32+20=52', '73+55=128']
Exploring Operation: 128-52=76, Resulting Numbers: [76]
76,76 equal: Goal Reached
| 4 |
[
54,
68,
66,
3
] | 28 | [
"54+66=120",
"120/3=40",
"68-40=28"
] | Current State: 28:[54, 68, 66, 3], Operations: []
Exploring Operation: 54+66=120, Resulting Numbers: [68, 3, 120]
Generated Node #2: [68, 3, 120] from Operation: 54+66=120
Current State: 28:[68, 3, 120], Operations: ['54+66=120']
Exploring Operation: 120/3=40, Resulting Numbers: [68, 40]
Generated Node #3: [68, 40] from Operation: 120/3=40
Current State: 28:[68, 40], Operations: ['54+66=120', '120/3=40']
Exploring Operation: 68-40=28, Resulting Numbers: [28]
28,28 equal: Goal Reached
| 4 |
[
61,
48,
60,
15
] | 49 | [
"48*15=720",
"720/60=12",
"61-12=49"
] | Current State: 49:[61, 48, 60, 15], Operations: []
Exploring Operation: 48*15=720, Resulting Numbers: [61, 60, 720]
Generated Node #2: [61, 60, 720] from Operation: 48*15=720
Current State: 49:[61, 60, 720], Operations: ['48*15=720']
Exploring Operation: 720/60=12, Resulting Numbers: [61, 12]
Generated Node #3: [61, 12] from Operation: 720/60=12
Current State: 49:[61, 12], Operations: ['48*15=720', '720/60=12']
Exploring Operation: 61-12=49, Resulting Numbers: [49]
49,49 equal: Goal Reached
| 4 |
[
97,
82,
24,
92
] | 83 | [
"97-82=15",
"92-24=68",
"15+68=83"
] | Current State: 83:[97, 82, 24, 92], Operations: []
Exploring Operation: 97-82=15, Resulting Numbers: [24, 92, 15]
Generated Node #2: [24, 92, 15] from Operation: 97-82=15
Current State: 83:[24, 92, 15], Operations: ['97-82=15']
Exploring Operation: 92-24=68, Resulting Numbers: [15, 68]
Generated Node #3: [15, 68] from Operation: 92-24=68
Current State: 83:[15, 68], Operations: ['97-82=15', '92-24=68']
Exploring Operation: 15+68=83, Resulting Numbers: [83]
83,83 equal: Goal Reached
| 4 |
[
40,
17,
8,
76
] | 61 | [
"40-17=23",
"8+76=84",
"84-23=61"
] | Current State: 61:[40, 17, 8, 76], Operations: []
Exploring Operation: 40-17=23, Resulting Numbers: [8, 76, 23]
Generated Node #2: [8, 76, 23] from Operation: 40-17=23
Current State: 61:[8, 76, 23], Operations: ['40-17=23']
Exploring Operation: 8+76=84, Resulting Numbers: [23, 84]
Generated Node #3: [23, 84] from Operation: 8+76=84
Current State: 61:[23, 84], Operations: ['40-17=23', '8+76=84']
Exploring Operation: 84-23=61, Resulting Numbers: [61]
61,61 equal: Goal Reached
| 4 |
[
22,
34,
10,
82
] | 72 | [
"22*34=748",
"10*82=820",
"820-748=72"
] | Current State: 72:[22, 34, 10, 82], Operations: []
Exploring Operation: 22*34=748, Resulting Numbers: [10, 82, 748]
Generated Node #2: [10, 82, 748] from Operation: 22*34=748
Current State: 72:[10, 82, 748], Operations: ['22*34=748']
Exploring Operation: 10*82=820, Resulting Numbers: [748, 820]
Generated Node #3: [748, 820] from Operation: 10*82=820
Current State: 72:[748, 820], Operations: ['22*34=748', '10*82=820']
Exploring Operation: 820-748=72, Resulting Numbers: [72]
72,72 equal: Goal Reached
| 4 |
[
26,
90,
32,
17
] | 19 | [
"90-26=64",
"64/32=2",
"17+2=19"
] | Current State: 19:[26, 90, 32, 17], Operations: []
Exploring Operation: 90-26=64, Resulting Numbers: [32, 17, 64]
Generated Node #2: [32, 17, 64] from Operation: 90-26=64
Current State: 19:[32, 17, 64], Operations: ['90-26=64']
Exploring Operation: 64/32=2, Resulting Numbers: [17, 2]
Generated Node #3: [17, 2] from Operation: 64/32=2
Current State: 19:[17, 2], Operations: ['90-26=64', '64/32=2']
Exploring Operation: 17+2=19, Resulting Numbers: [19]
19,19 equal: Goal Reached
| 4 |
[
32,
53,
55,
33
] | 17 | [
"55-53=2",
"32/2=16",
"33-16=17"
] | Current State: 17:[32, 53, 55, 33], Operations: []
Exploring Operation: 55-53=2, Resulting Numbers: [32, 33, 2]
Generated Node #2: [32, 33, 2] from Operation: 55-53=2
Current State: 17:[32, 33, 2], Operations: ['55-53=2']
Exploring Operation: 32/2=16, Resulting Numbers: [33, 16]
Generated Node #3: [33, 16] from Operation: 32/2=16
Current State: 17:[33, 16], Operations: ['55-53=2', '32/2=16']
Exploring Operation: 33-16=17, Resulting Numbers: [17]
17,17 equal: Goal Reached
| 4 |
[
48,
23,
10,
26
] | 35 | [
"48+23=71",
"10+26=36",
"71-36=35"
] | Current State: 35:[48, 23, 10, 26], Operations: []
Exploring Operation: 48+23=71, Resulting Numbers: [10, 26, 71]
Generated Node #2: [10, 26, 71] from Operation: 48+23=71
Current State: 35:[10, 26, 71], Operations: ['48+23=71']
Exploring Operation: 10+26=36, Resulting Numbers: [71, 36]
Generated Node #3: [71, 36] from Operation: 10+26=36
Current State: 35:[71, 36], Operations: ['48+23=71', '10+26=36']
Exploring Operation: 71-36=35, Resulting Numbers: [35]
35,35 equal: Goal Reached
| 4 |
[
72,
81,
6,
6
] | 68 | [
"72+6=78",
"78/6=13",
"81-13=68"
] | Current State: 68:[72, 81, 6, 6], Operations: []
Exploring Operation: 72+6=78, Resulting Numbers: [81, 78]
Generated Node #2: [81, 78] from Operation: 72+6=78
Current State: 68:[81, 78], Operations: ['72+6=78']
Exploring Operation: 78/6=13, Resulting Numbers: [81, 13]
Generated Node #3: [81, 13] from Operation: 78/6=13
Current State: 68:[81, 13], Operations: ['72+6=78', '78/6=13']
Exploring Operation: 81-13=68, Resulting Numbers: [68]
68,68 equal: Goal Reached
| 4 |
[
18,
57,
59,
91
] | 71 | [
"57-18=39",
"91-59=32",
"39+32=71"
] | Current State: 71:[18, 57, 59, 91], Operations: []
Exploring Operation: 57-18=39, Resulting Numbers: [59, 91, 39]
Generated Node #2: [59, 91, 39] from Operation: 57-18=39
Current State: 71:[59, 91, 39], Operations: ['57-18=39']
Exploring Operation: 91-59=32, Resulting Numbers: [39, 32]
Generated Node #3: [39, 32] from Operation: 91-59=32
Current State: 71:[39, 32], Operations: ['57-18=39', '91-59=32']
Exploring Operation: 39+32=71, Resulting Numbers: [71]
71,71 equal: Goal Reached
| 4 |
[
37,
36,
25,
76
] | 52 | [
"37-36=1",
"76-25=51",
"1+51=52"
] | Current State: 52:[37, 36, 25, 76], Operations: []
Exploring Operation: 37-36=1, Resulting Numbers: [25, 76, 1]
Generated Node #2: [25, 76, 1] from Operation: 37-36=1
Current State: 52:[25, 76, 1], Operations: ['37-36=1']
Exploring Operation: 76-25=51, Resulting Numbers: [1, 51]
Generated Node #3: [1, 51] from Operation: 76-25=51
Current State: 52:[1, 51], Operations: ['37-36=1', '76-25=51']
Exploring Operation: 1+51=52, Resulting Numbers: [52]
52,52 equal: Goal Reached
| 4 |
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