nums listlengths 4 4 | target int64 10 100 | solution listlengths 3 3 | optimal_path stringlengths 282 529 | start_size int64 4 4 |
|---|---|---|---|---|
[
7,
76,
49,
21
] | 80 | [
"49-21=28",
"28/7=4",
"76+4=80"
] | Current State: 80:[7, 76, 49, 21], Operations: []
Exploring Operation: 49-21=28, Resulting Numbers: [7, 76, 28]
Generated Node #2: [7, 76, 28] from Operation: 49-21=28
Current State: 80:[7, 76, 28], Operations: ['49-21=28']
Exploring Operation: 28/7=4, Resulting Numbers: [76, 4]
Generated Node #3: [76, 4] from Operation: 28/7=4
Current State: 80:[76, 4], Operations: ['49-21=28', '28/7=4']
Exploring Operation: 76+4=80, Resulting Numbers: [80]
80,80 equal: Goal Reached
| 4 |
[
10,
41,
23,
10
] | 19 | [
"10/10=1",
"41-23=18",
"1+18=19"
] | Current State: 19:[10, 41, 23, 10], Operations: []
Exploring Operation: 10/10=1, Resulting Numbers: [41, 23, 1]
Generated Node #2: [41, 23, 1] from Operation: 10/10=1
Current State: 19:[41, 23, 1], Operations: ['10/10=1']
Exploring Operation: 41-23=18, Resulting Numbers: [1, 18]
Generated Node #3: [1, 18] from Operation: 41-23=18
Current State: 19:[1, 18], Operations: ['10/10=1', '41-23=18']
Exploring Operation: 1+18=19, Resulting Numbers: [19]
19,19 equal: Goal Reached
| 4 |
[
45,
3,
22,
32
] | 17 | [
"45-32=13",
"3*13=39",
"39-22=17"
] | Current State: 17:[45, 3, 22, 32], Operations: []
Exploring Operation: 45-32=13, Resulting Numbers: [3, 22, 13]
Generated Node #2: [3, 22, 13] from Operation: 45-32=13
Current State: 17:[3, 22, 13], Operations: ['45-32=13']
Exploring Operation: 3*13=39, Resulting Numbers: [22, 39]
Generated Node #3: [22, 39] from Operation: 3*13=39
Current State: 17:[22, 39], Operations: ['45-32=13', '3*13=39']
Exploring Operation: 39-22=17, Resulting Numbers: [17]
17,17 equal: Goal Reached
| 4 |
[
58,
6,
67,
45
] | 48 | [
"58+6=64",
"67+45=112",
"112-64=48"
] | Current State: 48:[58, 6, 67, 45], Operations: []
Exploring Operation: 58+6=64, Resulting Numbers: [67, 45, 64]
Generated Node #2: [67, 45, 64] from Operation: 58+6=64
Current State: 48:[67, 45, 64], Operations: ['58+6=64']
Exploring Operation: 67+45=112, Resulting Numbers: [64, 112]
Generated Node #3: [64, 112] from Operation: 67+45=112
Current State: 48:[64, 112], Operations: ['58+6=64', '67+45=112']
Exploring Operation: 112-64=48, Resulting Numbers: [48]
48,48 equal: Goal Reached
| 4 |
[
13,
60,
15,
8
] | 72 | [
"60/15=4",
"13-4=9",
"8*9=72"
] | Current State: 72:[13, 60, 15, 8], Operations: []
Exploring Operation: 60/15=4, Resulting Numbers: [13, 8, 4]
Generated Node #2: [13, 8, 4] from Operation: 60/15=4
Current State: 72:[13, 8, 4], Operations: ['60/15=4']
Exploring Operation: 13-4=9, Resulting Numbers: [8, 9]
Generated Node #3: [8, 9] from Operation: 13-4=9
Current State: 72:[8, 9], Operations: ['60/15=4', '13-4=9']
Exploring Operation: 8*9=72, Resulting Numbers: [72]
72,72 equal: Goal Reached
| 4 |
[
32,
44,
63,
58
] | 60 | [
"44-32=12",
"63-58=5",
"12*5=60"
] | Current State: 60:[32, 44, 63, 58], Operations: []
Exploring Operation: 44-32=12, Resulting Numbers: [63, 58, 12]
Generated Node #2: [63, 58, 12] from Operation: 44-32=12
Current State: 60:[63, 58, 12], Operations: ['44-32=12']
Exploring Operation: 63-58=5, Resulting Numbers: [12, 5]
Generated Node #3: [12, 5] from Operation: 63-58=5
Current State: 60:[12, 5], Operations: ['44-32=12', '63-58=5']
Exploring Operation: 12*5=60, Resulting Numbers: [60]
60,60 equal: Goal Reached
| 4 |
[
92,
68,
92,
21
] | 47 | [
"92+68=160",
"92+21=113",
"160-113=47"
] | Current State: 47:[92, 68, 92, 21], Operations: []
Exploring Operation: 92+68=160, Resulting Numbers: [21, 160]
Generated Node #2: [21, 160] from Operation: 92+68=160
Current State: 47:[21, 160], Operations: ['92+68=160']
Exploring Operation: 92+21=113, Resulting Numbers: [160, 113]
Generated Node #3: [160, 113] from Operation: 92+21=113
Current State: 47:[160, 113], Operations: ['92+68=160', '92+21=113']
Exploring Operation: 160-113=47, Resulting Numbers: [47]
47,47 equal: Goal Reached
| 4 |
[
76,
2,
42,
30
] | 95 | [
"76+30=106",
"106/2=53",
"42+53=95"
] | Current State: 95:[76, 2, 42, 30], Operations: []
Exploring Operation: 76+30=106, Resulting Numbers: [2, 42, 106]
Generated Node #2: [2, 42, 106] from Operation: 76+30=106
Current State: 95:[2, 42, 106], Operations: ['76+30=106']
Exploring Operation: 106/2=53, Resulting Numbers: [42, 53]
Generated Node #3: [42, 53] from Operation: 106/2=53
Current State: 95:[42, 53], Operations: ['76+30=106', '106/2=53']
Exploring Operation: 42+53=95, Resulting Numbers: [95]
95,95 equal: Goal Reached
| 4 |
[
37,
43,
10,
38
] | 54 | [
"43-37=6",
"10+38=48",
"6+48=54"
] | Current State: 54:[37, 43, 10, 38], Operations: []
Exploring Operation: 43-37=6, Resulting Numbers: [10, 38, 6]
Generated Node #2: [10, 38, 6] from Operation: 43-37=6
Current State: 54:[10, 38, 6], Operations: ['43-37=6']
Exploring Operation: 10+38=48, Resulting Numbers: [6, 48]
Generated Node #3: [6, 48] from Operation: 10+38=48
Current State: 54:[6, 48], Operations: ['43-37=6', '10+38=48']
Exploring Operation: 6+48=54, Resulting Numbers: [54]
54,54 equal: Goal Reached
| 4 |
[
3,
50,
43,
87
] | 12 | [
"87-3=84",
"50-43=7",
"84/7=12"
] | Current State: 12:[3, 50, 43, 87], Operations: []
Exploring Operation: 87-3=84, Resulting Numbers: [50, 43, 84]
Generated Node #2: [50, 43, 84] from Operation: 87-3=84
Current State: 12:[50, 43, 84], Operations: ['87-3=84']
Exploring Operation: 50-43=7, Resulting Numbers: [84, 7]
Generated Node #3: [84, 7] from Operation: 50-43=7
Current State: 12:[84, 7], Operations: ['87-3=84', '50-43=7']
Exploring Operation: 84/7=12, Resulting Numbers: [12]
12,12 equal: Goal Reached
| 4 |
[
19,
26,
6,
78
] | 77 | [
"26-19=7",
"6+78=84",
"84-7=77"
] | Current State: 77:[19, 26, 6, 78], Operations: []
Exploring Operation: 26-19=7, Resulting Numbers: [6, 78, 7]
Generated Node #2: [6, 78, 7] from Operation: 26-19=7
Current State: 77:[6, 78, 7], Operations: ['26-19=7']
Exploring Operation: 6+78=84, Resulting Numbers: [7, 84]
Generated Node #3: [7, 84] from Operation: 6+78=84
Current State: 77:[7, 84], Operations: ['26-19=7', '6+78=84']
Exploring Operation: 84-7=77, Resulting Numbers: [77]
77,77 equal: Goal Reached
| 4 |
[
72,
43,
7,
10
] | 67 | [
"43+7=50",
"50/10=5",
"72-5=67"
] | Current State: 67:[72, 43, 7, 10], Operations: []
Exploring Operation: 43+7=50, Resulting Numbers: [72, 10, 50]
Generated Node #2: [72, 10, 50] from Operation: 43+7=50
Current State: 67:[72, 10, 50], Operations: ['43+7=50']
Exploring Operation: 50/10=5, Resulting Numbers: [72, 5]
Generated Node #3: [72, 5] from Operation: 50/10=5
Current State: 67:[72, 5], Operations: ['43+7=50', '50/10=5']
Exploring Operation: 72-5=67, Resulting Numbers: [67]
67,67 equal: Goal Reached
| 4 |
[
80,
40,
65,
15
] | 100 | [
"80/40=2",
"65-15=50",
"2*50=100"
] | Current State: 100:[80, 40, 65, 15], Operations: []
Exploring Operation: 80/40=2, Resulting Numbers: [65, 15, 2]
Generated Node #2: [65, 15, 2] from Operation: 80/40=2
Current State: 100:[65, 15, 2], Operations: ['80/40=2']
Exploring Operation: 65-15=50, Resulting Numbers: [2, 50]
Generated Node #3: [2, 50] from Operation: 65-15=50
Current State: 100:[2, 50], Operations: ['80/40=2', '65-15=50']
Exploring Operation: 2*50=100, Resulting Numbers: [100]
100,100 equal: Goal Reached
| 4 |
[
30,
85,
62,
17
] | 36 | [
"30+85=115",
"62+17=79",
"115-79=36"
] | Current State: 36:[30, 85, 62, 17], Operations: []
Exploring Operation: 30+85=115, Resulting Numbers: [62, 17, 115]
Generated Node #2: [62, 17, 115] from Operation: 30+85=115
Current State: 36:[62, 17, 115], Operations: ['30+85=115']
Exploring Operation: 62+17=79, Resulting Numbers: [115, 79]
Generated Node #3: [115, 79] from Operation: 62+17=79
Current State: 36:[115, 79], Operations: ['30+85=115', '62+17=79']
Exploring Operation: 115-79=36, Resulting Numbers: [36]
36,36 equal: Goal Reached
| 4 |
[
41,
1,
31,
4
] | 41 | [
"41-1=40",
"40/4=10",
"31+10=41"
] | Current State: 41:[41, 1, 31, 4], Operations: []
Exploring Operation: 41-1=40, Resulting Numbers: [31, 4, 40]
Generated Node #2: [31, 4, 40] from Operation: 41-1=40
Current State: 41:[31, 4, 40], Operations: ['41-1=40']
Exploring Operation: 40/4=10, Resulting Numbers: [31, 10]
Generated Node #3: [31, 10] from Operation: 40/4=10
Current State: 41:[31, 10], Operations: ['41-1=40', '40/4=10']
Exploring Operation: 31+10=41, Resulting Numbers: [41]
41,41 equal: Goal Reached
| 4 |
[
47,
89,
42,
27
] | 26 | [
"89-47=42",
"42/42=1",
"27-1=26"
] | Current State: 26:[47, 89, 42, 27], Operations: []
Exploring Operation: 89-47=42, Resulting Numbers: [42, 27, 42]
Generated Node #2: [42, 27, 42] from Operation: 89-47=42
Current State: 26:[42, 27, 42], Operations: ['89-47=42']
Exploring Operation: 42/42=1, Resulting Numbers: [27, 1]
Generated Node #3: [27, 1] from Operation: 42/42=1
Current State: 26:[27, 1], Operations: ['89-47=42', '42/42=1']
Exploring Operation: 27-1=26, Resulting Numbers: [26]
26,26 equal: Goal Reached
| 4 |
[
14,
49,
2,
37
] | 24 | [
"14+49=63",
"2+37=39",
"63-39=24"
] | Current State: 24:[14, 49, 2, 37], Operations: []
Exploring Operation: 14+49=63, Resulting Numbers: [2, 37, 63]
Generated Node #2: [2, 37, 63] from Operation: 14+49=63
Current State: 24:[2, 37, 63], Operations: ['14+49=63']
Exploring Operation: 2+37=39, Resulting Numbers: [63, 39]
Generated Node #3: [63, 39] from Operation: 2+37=39
Current State: 24:[63, 39], Operations: ['14+49=63', '2+37=39']
Exploring Operation: 63-39=24, Resulting Numbers: [24]
24,24 equal: Goal Reached
| 4 |
[
6,
4,
85,
40
] | 55 | [
"6+4=10",
"85-40=45",
"10+45=55"
] | Current State: 55:[6, 4, 85, 40], Operations: []
Exploring Operation: 6+4=10, Resulting Numbers: [85, 40, 10]
Generated Node #2: [85, 40, 10] from Operation: 6+4=10
Current State: 55:[85, 40, 10], Operations: ['6+4=10']
Exploring Operation: 85-40=45, Resulting Numbers: [10, 45]
Generated Node #3: [10, 45] from Operation: 85-40=45
Current State: 55:[10, 45], Operations: ['6+4=10', '85-40=45']
Exploring Operation: 10+45=55, Resulting Numbers: [55]
55,55 equal: Goal Reached
| 4 |
[
21,
34,
39,
47
] | 31 | [
"21+34=55",
"39+47=86",
"86-55=31"
] | Current State: 31:[21, 34, 39, 47], Operations: []
Exploring Operation: 21+34=55, Resulting Numbers: [39, 47, 55]
Generated Node #2: [39, 47, 55] from Operation: 21+34=55
Current State: 31:[39, 47, 55], Operations: ['21+34=55']
Exploring Operation: 39+47=86, Resulting Numbers: [55, 86]
Generated Node #3: [55, 86] from Operation: 39+47=86
Current State: 31:[55, 86], Operations: ['21+34=55', '39+47=86']
Exploring Operation: 86-55=31, Resulting Numbers: [31]
31,31 equal: Goal Reached
| 4 |
[
38,
22,
58,
38
] | 63 | [
"38*38=1444",
"1444-58=1386",
"1386/22=63"
] | Current State: 63:[38, 22, 58, 38], Operations: []
Exploring Operation: 38*38=1444, Resulting Numbers: [22, 58, 1444]
Generated Node #2: [22, 58, 1444] from Operation: 38*38=1444
Current State: 63:[22, 58, 1444], Operations: ['38*38=1444']
Exploring Operation: 1444-58=1386, Resulting Numbers: [22, 1386]
Generated Node #3: [22, 1386] from Operation: 1444-58=1386
Current State: 63:[22, 1386], Operations: ['38*38=1444', '1444-58=1386']
Exploring Operation: 1386/22=63, Resulting Numbers: [63]
63,63 equal: Goal Reached
| 4 |
[
16,
98,
79,
69
] | 66 | [
"98-16=82",
"79+69=148",
"148-82=66"
] | Current State: 66:[16, 98, 79, 69], Operations: []
Exploring Operation: 98-16=82, Resulting Numbers: [79, 69, 82]
Generated Node #2: [79, 69, 82] from Operation: 98-16=82
Current State: 66:[79, 69, 82], Operations: ['98-16=82']
Exploring Operation: 79+69=148, Resulting Numbers: [82, 148]
Generated Node #3: [82, 148] from Operation: 79+69=148
Current State: 66:[82, 148], Operations: ['98-16=82', '79+69=148']
Exploring Operation: 148-82=66, Resulting Numbers: [66]
66,66 equal: Goal Reached
| 4 |
[
15,
42,
39,
39
] | 18 | [
"15+39=54",
"42-39=3",
"54/3=18"
] | Current State: 18:[15, 42, 39, 39], Operations: []
Exploring Operation: 15+39=54, Resulting Numbers: [42, 54]
Generated Node #2: [42, 54] from Operation: 15+39=54
Current State: 18:[42, 54], Operations: ['15+39=54']
Exploring Operation: 42-39=3, Resulting Numbers: [54, 3]
Generated Node #3: [54, 3] from Operation: 42-39=3
Current State: 18:[54, 3], Operations: ['15+39=54', '42-39=3']
Exploring Operation: 54/3=18, Resulting Numbers: [18]
18,18 equal: Goal Reached
| 4 |
[
21,
23,
24,
17
] | 84 | [
"21*24=504",
"23-17=6",
"504/6=84"
] | Current State: 84:[21, 23, 24, 17], Operations: []
Exploring Operation: 21*24=504, Resulting Numbers: [23, 17, 504]
Generated Node #2: [23, 17, 504] from Operation: 21*24=504
Current State: 84:[23, 17, 504], Operations: ['21*24=504']
Exploring Operation: 23-17=6, Resulting Numbers: [504, 6]
Generated Node #3: [504, 6] from Operation: 23-17=6
Current State: 84:[504, 6], Operations: ['21*24=504', '23-17=6']
Exploring Operation: 504/6=84, Resulting Numbers: [84]
84,84 equal: Goal Reached
| 4 |
[
23,
3,
49,
24
] | 22 | [
"49-3=46",
"46/23=2",
"24-2=22"
] | Current State: 22:[23, 3, 49, 24], Operations: []
Exploring Operation: 49-3=46, Resulting Numbers: [23, 24, 46]
Generated Node #2: [23, 24, 46] from Operation: 49-3=46
Current State: 22:[23, 24, 46], Operations: ['49-3=46']
Exploring Operation: 46/23=2, Resulting Numbers: [24, 2]
Generated Node #3: [24, 2] from Operation: 46/23=2
Current State: 22:[24, 2], Operations: ['49-3=46', '46/23=2']
Exploring Operation: 24-2=22, Resulting Numbers: [22]
22,22 equal: Goal Reached
| 4 |
[
11,
43,
64,
39
] | 57 | [
"43-11=32",
"64-39=25",
"32+25=57"
] | Current State: 57:[11, 43, 64, 39], Operations: []
Exploring Operation: 43-11=32, Resulting Numbers: [64, 39, 32]
Generated Node #2: [64, 39, 32] from Operation: 43-11=32
Current State: 57:[64, 39, 32], Operations: ['43-11=32']
Exploring Operation: 64-39=25, Resulting Numbers: [32, 25]
Generated Node #3: [32, 25] from Operation: 64-39=25
Current State: 57:[32, 25], Operations: ['43-11=32', '64-39=25']
Exploring Operation: 32+25=57, Resulting Numbers: [57]
57,57 equal: Goal Reached
| 4 |
[
60,
70,
30,
2
] | 65 | [
"60-30=30",
"70/2=35",
"30+35=65"
] | Current State: 65:[60, 70, 30, 2], Operations: []
Exploring Operation: 60-30=30, Resulting Numbers: [70, 2, 30]
Generated Node #2: [70, 2, 30] from Operation: 60-30=30
Current State: 65:[70, 2, 30], Operations: ['60-30=30']
Exploring Operation: 70/2=35, Resulting Numbers: [30, 35]
Generated Node #3: [30, 35] from Operation: 70/2=35
Current State: 65:[30, 35], Operations: ['60-30=30', '70/2=35']
Exploring Operation: 30+35=65, Resulting Numbers: [65]
65,65 equal: Goal Reached
| 4 |
[
34,
4,
27,
98
] | 60 | [
"34+98=132",
"132/4=33",
"27+33=60"
] | Current State: 60:[34, 4, 27, 98], Operations: []
Exploring Operation: 34+98=132, Resulting Numbers: [4, 27, 132]
Generated Node #2: [4, 27, 132] from Operation: 34+98=132
Current State: 60:[4, 27, 132], Operations: ['34+98=132']
Exploring Operation: 132/4=33, Resulting Numbers: [27, 33]
Generated Node #3: [27, 33] from Operation: 132/4=33
Current State: 60:[27, 33], Operations: ['34+98=132', '132/4=33']
Exploring Operation: 27+33=60, Resulting Numbers: [60]
60,60 equal: Goal Reached
| 4 |
[
75,
9,
97,
14
] | 27 | [
"75+9=84",
"97+14=111",
"111-84=27"
] | Current State: 27:[75, 9, 97, 14], Operations: []
Exploring Operation: 75+9=84, Resulting Numbers: [97, 14, 84]
Generated Node #2: [97, 14, 84] from Operation: 75+9=84
Current State: 27:[97, 14, 84], Operations: ['75+9=84']
Exploring Operation: 97+14=111, Resulting Numbers: [84, 111]
Generated Node #3: [84, 111] from Operation: 97+14=111
Current State: 27:[84, 111], Operations: ['75+9=84', '97+14=111']
Exploring Operation: 111-84=27, Resulting Numbers: [27]
27,27 equal: Goal Reached
| 4 |
[
2,
5,
46,
45
] | 43 | [
"46-5=41",
"45+41=86",
"86/2=43"
] | Current State: 43:[2, 5, 46, 45], Operations: []
Exploring Operation: 46-5=41, Resulting Numbers: [2, 45, 41]
Generated Node #2: [2, 45, 41] from Operation: 46-5=41
Current State: 43:[2, 45, 41], Operations: ['46-5=41']
Exploring Operation: 45+41=86, Resulting Numbers: [2, 86]
Generated Node #3: [2, 86] from Operation: 45+41=86
Current State: 43:[2, 86], Operations: ['46-5=41', '45+41=86']
Exploring Operation: 86/2=43, Resulting Numbers: [43]
43,43 equal: Goal Reached
| 4 |
[
16,
80,
40,
39
] | 53 | [
"16+39=55",
"80/40=2",
"55-2=53"
] | Current State: 53:[16, 80, 40, 39], Operations: []
Exploring Operation: 16+39=55, Resulting Numbers: [80, 40, 55]
Generated Node #2: [80, 40, 55] from Operation: 16+39=55
Current State: 53:[80, 40, 55], Operations: ['16+39=55']
Exploring Operation: 80/40=2, Resulting Numbers: [55, 2]
Generated Node #3: [55, 2] from Operation: 80/40=2
Current State: 53:[55, 2], Operations: ['16+39=55', '80/40=2']
Exploring Operation: 55-2=53, Resulting Numbers: [53]
53,53 equal: Goal Reached
| 4 |
[
78,
37,
17,
63
] | 35 | [
"78+37=115",
"17+63=80",
"115-80=35"
] | Current State: 35:[78, 37, 17, 63], Operations: []
Exploring Operation: 78+37=115, Resulting Numbers: [17, 63, 115]
Generated Node #2: [17, 63, 115] from Operation: 78+37=115
Current State: 35:[17, 63, 115], Operations: ['78+37=115']
Exploring Operation: 17+63=80, Resulting Numbers: [115, 80]
Generated Node #3: [115, 80] from Operation: 17+63=80
Current State: 35:[115, 80], Operations: ['78+37=115', '17+63=80']
Exploring Operation: 115-80=35, Resulting Numbers: [35]
35,35 equal: Goal Reached
| 4 |
[
33,
15,
79,
78
] | 17 | [
"33-15=18",
"79-78=1",
"18-1=17"
] | Current State: 17:[33, 15, 79, 78], Operations: []
Exploring Operation: 33-15=18, Resulting Numbers: [79, 78, 18]
Generated Node #2: [79, 78, 18] from Operation: 33-15=18
Current State: 17:[79, 78, 18], Operations: ['33-15=18']
Exploring Operation: 79-78=1, Resulting Numbers: [18, 1]
Generated Node #3: [18, 1] from Operation: 79-78=1
Current State: 17:[18, 1], Operations: ['33-15=18', '79-78=1']
Exploring Operation: 18-1=17, Resulting Numbers: [17]
17,17 equal: Goal Reached
| 4 |
[
25,
10,
1,
68
] | 53 | [
"25-10=15",
"1*68=68",
"68-15=53"
] | Current State: 53:[25, 10, 1, 68], Operations: []
Exploring Operation: 25-10=15, Resulting Numbers: [1, 68, 15]
Generated Node #2: [1, 68, 15] from Operation: 25-10=15
Current State: 53:[1, 68, 15], Operations: ['25-10=15']
Exploring Operation: 1*68=68, Resulting Numbers: [15, 68]
Generated Node #3: [15, 68] from Operation: 1*68=68
Current State: 53:[15, 68], Operations: ['25-10=15', '1*68=68']
Exploring Operation: 68-15=53, Resulting Numbers: [53]
53,53 equal: Goal Reached
| 4 |
[
25,
75,
25,
40
] | 85 | [
"25+75=100",
"40-25=15",
"100-15=85"
] | Current State: 85:[25, 75, 25, 40], Operations: []
Exploring Operation: 25+75=100, Resulting Numbers: [40, 100]
Generated Node #2: [40, 100] from Operation: 25+75=100
Current State: 85:[40, 100], Operations: ['25+75=100']
Exploring Operation: 40-25=15, Resulting Numbers: [100, 15]
Generated Node #3: [100, 15] from Operation: 40-25=15
Current State: 85:[100, 15], Operations: ['25+75=100', '40-25=15']
Exploring Operation: 100-15=85, Resulting Numbers: [85]
85,85 equal: Goal Reached
| 4 |
[
99,
22,
72,
56
] | 51 | [
"99-22=77",
"72+56=128",
"128-77=51"
] | Current State: 51:[99, 22, 72, 56], Operations: []
Exploring Operation: 99-22=77, Resulting Numbers: [72, 56, 77]
Generated Node #2: [72, 56, 77] from Operation: 99-22=77
Current State: 51:[72, 56, 77], Operations: ['99-22=77']
Exploring Operation: 72+56=128, Resulting Numbers: [77, 128]
Generated Node #3: [77, 128] from Operation: 72+56=128
Current State: 51:[77, 128], Operations: ['99-22=77', '72+56=128']
Exploring Operation: 128-77=51, Resulting Numbers: [51]
51,51 equal: Goal Reached
| 4 |
[
9,
31,
20,
26
] | 52 | [
"9+31=40",
"40/20=2",
"26*2=52"
] | Current State: 52:[9, 31, 20, 26], Operations: []
Exploring Operation: 9+31=40, Resulting Numbers: [20, 26, 40]
Generated Node #2: [20, 26, 40] from Operation: 9+31=40
Current State: 52:[20, 26, 40], Operations: ['9+31=40']
Exploring Operation: 40/20=2, Resulting Numbers: [26, 2]
Generated Node #3: [26, 2] from Operation: 40/20=2
Current State: 52:[26, 2], Operations: ['9+31=40', '40/20=2']
Exploring Operation: 26*2=52, Resulting Numbers: [52]
52,52 equal: Goal Reached
| 4 |
[
24,
37,
64,
5
] | 29 | [
"64-24=40",
"40/5=8",
"37-8=29"
] | Current State: 29:[24, 37, 64, 5], Operations: []
Exploring Operation: 64-24=40, Resulting Numbers: [37, 5, 40]
Generated Node #2: [37, 5, 40] from Operation: 64-24=40
Current State: 29:[37, 5, 40], Operations: ['64-24=40']
Exploring Operation: 40/5=8, Resulting Numbers: [37, 8]
Generated Node #3: [37, 8] from Operation: 40/5=8
Current State: 29:[37, 8], Operations: ['64-24=40', '40/5=8']
Exploring Operation: 37-8=29, Resulting Numbers: [29]
29,29 equal: Goal Reached
| 4 |
[
19,
71,
66,
52
] | 73 | [
"52-19=33",
"66/33=2",
"71+2=73"
] | Current State: 73:[19, 71, 66, 52], Operations: []
Exploring Operation: 52-19=33, Resulting Numbers: [71, 66, 33]
Generated Node #2: [71, 66, 33] from Operation: 52-19=33
Current State: 73:[71, 66, 33], Operations: ['52-19=33']
Exploring Operation: 66/33=2, Resulting Numbers: [71, 2]
Generated Node #3: [71, 2] from Operation: 66/33=2
Current State: 73:[71, 2], Operations: ['52-19=33', '66/33=2']
Exploring Operation: 71+2=73, Resulting Numbers: [73]
73,73 equal: Goal Reached
| 4 |
[
20,
24,
33,
42
] | 71 | [
"24-20=4",
"33+42=75",
"75-4=71"
] | Current State: 71:[20, 24, 33, 42], Operations: []
Exploring Operation: 24-20=4, Resulting Numbers: [33, 42, 4]
Generated Node #2: [33, 42, 4] from Operation: 24-20=4
Current State: 71:[33, 42, 4], Operations: ['24-20=4']
Exploring Operation: 33+42=75, Resulting Numbers: [4, 75]
Generated Node #3: [4, 75] from Operation: 33+42=75
Current State: 71:[4, 75], Operations: ['24-20=4', '33+42=75']
Exploring Operation: 75-4=71, Resulting Numbers: [71]
71,71 equal: Goal Reached
| 4 |
[
55,
99,
7,
8
] | 98 | [
"55+99=154",
"7*8=56",
"154-56=98"
] | Current State: 98:[55, 99, 7, 8], Operations: []
Exploring Operation: 55+99=154, Resulting Numbers: [7, 8, 154]
Generated Node #2: [7, 8, 154] from Operation: 55+99=154
Current State: 98:[7, 8, 154], Operations: ['55+99=154']
Exploring Operation: 7*8=56, Resulting Numbers: [154, 56]
Generated Node #3: [154, 56] from Operation: 7*8=56
Current State: 98:[154, 56], Operations: ['55+99=154', '7*8=56']
Exploring Operation: 154-56=98, Resulting Numbers: [98]
98,98 equal: Goal Reached
| 4 |
[
31,
36,
4,
66
] | 94 | [
"31*4=124",
"66-36=30",
"124-30=94"
] | Current State: 94:[31, 36, 4, 66], Operations: []
Exploring Operation: 31*4=124, Resulting Numbers: [36, 66, 124]
Generated Node #2: [36, 66, 124] from Operation: 31*4=124
Current State: 94:[36, 66, 124], Operations: ['31*4=124']
Exploring Operation: 66-36=30, Resulting Numbers: [124, 30]
Generated Node #3: [124, 30] from Operation: 66-36=30
Current State: 94:[124, 30], Operations: ['31*4=124', '66-36=30']
Exploring Operation: 124-30=94, Resulting Numbers: [94]
94,94 equal: Goal Reached
| 4 |
[
33,
8,
47,
86
] | 48 | [
"33+47=80",
"86-80=6",
"8*6=48"
] | Current State: 48:[33, 8, 47, 86], Operations: []
Exploring Operation: 33+47=80, Resulting Numbers: [8, 86, 80]
Generated Node #2: [8, 86, 80] from Operation: 33+47=80
Current State: 48:[8, 86, 80], Operations: ['33+47=80']
Exploring Operation: 86-80=6, Resulting Numbers: [8, 6]
Generated Node #3: [8, 6] from Operation: 86-80=6
Current State: 48:[8, 6], Operations: ['33+47=80', '86-80=6']
Exploring Operation: 8*6=48, Resulting Numbers: [48]
48,48 equal: Goal Reached
| 4 |
[
6,
36,
78,
36
] | 85 | [
"6+78=84",
"36/36=1",
"84+1=85"
] | Current State: 85:[6, 36, 78, 36], Operations: []
Exploring Operation: 6+78=84, Resulting Numbers: [36, 36, 84]
Generated Node #2: [36, 36, 84] from Operation: 6+78=84
Current State: 85:[36, 36, 84], Operations: ['6+78=84']
Exploring Operation: 36/36=1, Resulting Numbers: [84, 1]
Generated Node #3: [84, 1] from Operation: 36/36=1
Current State: 85:[84, 1], Operations: ['6+78=84', '36/36=1']
Exploring Operation: 84+1=85, Resulting Numbers: [85]
85,85 equal: Goal Reached
| 4 |
[
2,
84,
61,
20
] | 13 | [
"20/2=10",
"84-61=23",
"23-10=13"
] | Current State: 13:[2, 84, 61, 20], Operations: []
Exploring Operation: 20/2=10, Resulting Numbers: [84, 61, 10]
Generated Node #2: [84, 61, 10] from Operation: 20/2=10
Current State: 13:[84, 61, 10], Operations: ['20/2=10']
Exploring Operation: 84-61=23, Resulting Numbers: [10, 23]
Generated Node #3: [10, 23] from Operation: 84-61=23
Current State: 13:[10, 23], Operations: ['20/2=10', '84-61=23']
Exploring Operation: 23-10=13, Resulting Numbers: [13]
13,13 equal: Goal Reached
| 4 |
[
2,
50,
13,
46
] | 55 | [
"2*46=92",
"50-13=37",
"92-37=55"
] | Current State: 55:[2, 50, 13, 46], Operations: []
Exploring Operation: 2*46=92, Resulting Numbers: [50, 13, 92]
Generated Node #2: [50, 13, 92] from Operation: 2*46=92
Current State: 55:[50, 13, 92], Operations: ['2*46=92']
Exploring Operation: 50-13=37, Resulting Numbers: [92, 37]
Generated Node #3: [92, 37] from Operation: 50-13=37
Current State: 55:[92, 37], Operations: ['2*46=92', '50-13=37']
Exploring Operation: 92-37=55, Resulting Numbers: [55]
55,55 equal: Goal Reached
| 4 |
[
21,
62,
7,
90
] | 32 | [
"21/7=3",
"90/3=30",
"62-30=32"
] | Current State: 32:[21, 62, 7, 90], Operations: []
Exploring Operation: 21/7=3, Resulting Numbers: [62, 90, 3]
Generated Node #2: [62, 90, 3] from Operation: 21/7=3
Current State: 32:[62, 90, 3], Operations: ['21/7=3']
Exploring Operation: 90/3=30, Resulting Numbers: [62, 30]
Generated Node #3: [62, 30] from Operation: 90/3=30
Current State: 32:[62, 30], Operations: ['21/7=3', '90/3=30']
Exploring Operation: 62-30=32, Resulting Numbers: [32]
32,32 equal: Goal Reached
| 4 |
[
28,
35,
89,
21
] | 87 | [
"35+21=56",
"56/28=2",
"89-2=87"
] | Current State: 87:[28, 35, 89, 21], Operations: []
Exploring Operation: 35+21=56, Resulting Numbers: [28, 89, 56]
Generated Node #2: [28, 89, 56] from Operation: 35+21=56
Current State: 87:[28, 89, 56], Operations: ['35+21=56']
Exploring Operation: 56/28=2, Resulting Numbers: [89, 2]
Generated Node #3: [89, 2] from Operation: 56/28=2
Current State: 87:[89, 2], Operations: ['35+21=56', '56/28=2']
Exploring Operation: 89-2=87, Resulting Numbers: [87]
87,87 equal: Goal Reached
| 4 |
[
66,
15,
27,
91
] | 17 | [
"66+15=81",
"91-27=64",
"81-64=17"
] | Current State: 17:[66, 15, 27, 91], Operations: []
Exploring Operation: 66+15=81, Resulting Numbers: [27, 91, 81]
Generated Node #2: [27, 91, 81] from Operation: 66+15=81
Current State: 17:[27, 91, 81], Operations: ['66+15=81']
Exploring Operation: 91-27=64, Resulting Numbers: [81, 64]
Generated Node #3: [81, 64] from Operation: 91-27=64
Current State: 17:[81, 64], Operations: ['66+15=81', '91-27=64']
Exploring Operation: 81-64=17, Resulting Numbers: [17]
17,17 equal: Goal Reached
| 4 |
[
10,
72,
47,
4
] | 10 | [
"72-47=25",
"4*25=100",
"100/10=10"
] | Current State: 10:[10, 72, 47, 4], Operations: []
Exploring Operation: 72-47=25, Resulting Numbers: [10, 4, 25]
Generated Node #2: [10, 4, 25] from Operation: 72-47=25
Current State: 10:[10, 4, 25], Operations: ['72-47=25']
Exploring Operation: 4*25=100, Resulting Numbers: [10, 100]
Generated Node #3: [10, 100] from Operation: 4*25=100
Current State: 10:[10, 100], Operations: ['72-47=25', '4*25=100']
Exploring Operation: 100/10=10, Resulting Numbers: [10]
10,10 equal: Goal Reached
| 4 |
[
72,
2,
96,
14
] | 16 | [
"14-2=12",
"72/12=6",
"96/6=16"
] | Current State: 16:[72, 2, 96, 14], Operations: []
Exploring Operation: 14-2=12, Resulting Numbers: [72, 96, 12]
Generated Node #2: [72, 96, 12] from Operation: 14-2=12
Current State: 16:[72, 96, 12], Operations: ['14-2=12']
Exploring Operation: 72/12=6, Resulting Numbers: [96, 6]
Generated Node #3: [96, 6] from Operation: 72/12=6
Current State: 16:[96, 6], Operations: ['14-2=12', '72/12=6']
Exploring Operation: 96/6=16, Resulting Numbers: [16]
16,16 equal: Goal Reached
| 4 |
[
96,
49,
74,
99
] | 75 | [
"99-96=3",
"74-49=25",
"3*25=75"
] | Current State: 75:[96, 49, 74, 99], Operations: []
Exploring Operation: 99-96=3, Resulting Numbers: [49, 74, 3]
Generated Node #2: [49, 74, 3] from Operation: 99-96=3
Current State: 75:[49, 74, 3], Operations: ['99-96=3']
Exploring Operation: 74-49=25, Resulting Numbers: [3, 25]
Generated Node #3: [3, 25] from Operation: 74-49=25
Current State: 75:[3, 25], Operations: ['99-96=3', '74-49=25']
Exploring Operation: 3*25=75, Resulting Numbers: [75]
75,75 equal: Goal Reached
| 4 |
[
8,
10,
11,
17
] | 10 | [
"8+10=18",
"11+17=28",
"28-18=10"
] | Current State: 10:[8, 10, 11, 17], Operations: []
Exploring Operation: 8+10=18, Resulting Numbers: [11, 17, 18]
Generated Node #2: [11, 17, 18] from Operation: 8+10=18
Current State: 10:[11, 17, 18], Operations: ['8+10=18']
Exploring Operation: 11+17=28, Resulting Numbers: [18, 28]
Generated Node #3: [18, 28] from Operation: 11+17=28
Current State: 10:[18, 28], Operations: ['8+10=18', '11+17=28']
Exploring Operation: 28-18=10, Resulting Numbers: [10]
10,10 equal: Goal Reached
| 4 |
[
25,
59,
57,
41
] | 61 | [
"25+57=82",
"82/41=2",
"59+2=61"
] | Current State: 61:[25, 59, 57, 41], Operations: []
Exploring Operation: 25+57=82, Resulting Numbers: [59, 41, 82]
Generated Node #2: [59, 41, 82] from Operation: 25+57=82
Current State: 61:[59, 41, 82], Operations: ['25+57=82']
Exploring Operation: 82/41=2, Resulting Numbers: [59, 2]
Generated Node #3: [59, 2] from Operation: 82/41=2
Current State: 61:[59, 2], Operations: ['25+57=82', '82/41=2']
Exploring Operation: 59+2=61, Resulting Numbers: [61]
61,61 equal: Goal Reached
| 4 |
[
55,
15,
67,
88
] | 77 | [
"88-67=21",
"55*21=1155",
"1155/15=77"
] | Current State: 77:[55, 15, 67, 88], Operations: []
Exploring Operation: 88-67=21, Resulting Numbers: [55, 15, 21]
Generated Node #2: [55, 15, 21] from Operation: 88-67=21
Current State: 77:[55, 15, 21], Operations: ['88-67=21']
Exploring Operation: 55*21=1155, Resulting Numbers: [15, 1155]
Generated Node #3: [15, 1155] from Operation: 55*21=1155
Current State: 77:[15, 1155], Operations: ['88-67=21', '55*21=1155']
Exploring Operation: 1155/15=77, Resulting Numbers: [77]
77,77 equal: Goal Reached
| 4 |
[
36,
32,
48,
78
] | 76 | [
"36+78=114",
"32*114=3648",
"3648/48=76"
] | Current State: 76:[36, 32, 48, 78], Operations: []
Exploring Operation: 36+78=114, Resulting Numbers: [32, 48, 114]
Generated Node #2: [32, 48, 114] from Operation: 36+78=114
Current State: 76:[32, 48, 114], Operations: ['36+78=114']
Exploring Operation: 32*114=3648, Resulting Numbers: [48, 3648]
Generated Node #3: [48, 3648] from Operation: 32*114=3648
Current State: 76:[48, 3648], Operations: ['36+78=114', '32*114=3648']
Exploring Operation: 3648/48=76, Resulting Numbers: [76]
76,76 equal: Goal Reached
| 4 |
[
57,
23,
68,
49
] | 99 | [
"57+23=80",
"68-49=19",
"80+19=99"
] | Current State: 99:[57, 23, 68, 49], Operations: []
Exploring Operation: 57+23=80, Resulting Numbers: [68, 49, 80]
Generated Node #2: [68, 49, 80] from Operation: 57+23=80
Current State: 99:[68, 49, 80], Operations: ['57+23=80']
Exploring Operation: 68-49=19, Resulting Numbers: [80, 19]
Generated Node #3: [80, 19] from Operation: 68-49=19
Current State: 99:[80, 19], Operations: ['57+23=80', '68-49=19']
Exploring Operation: 80+19=99, Resulting Numbers: [99]
99,99 equal: Goal Reached
| 4 |
[
43,
7,
36,
30
] | 30 | [
"43-7=36",
"36+30=66",
"66-36=30"
] | Current State: 30:[43, 7, 36, 30], Operations: []
Exploring Operation: 43-7=36, Resulting Numbers: [36, 30, 36]
Generated Node #2: [36, 30, 36] from Operation: 43-7=36
Current State: 30:[36, 30, 36], Operations: ['43-7=36']
Exploring Operation: 36+30=66, Resulting Numbers: [66]
66,30 equal: Goal Reached
Exploring Operation: 66-36=30, Resulting Numbers: [30]
30,30 equal: Goal Reached
| 4 |
[
36,
74,
57,
2
] | 17 | [
"74-36=38",
"57-2=55",
"55-38=17"
] | Current State: 17:[36, 74, 57, 2], Operations: []
Exploring Operation: 74-36=38, Resulting Numbers: [57, 2, 38]
Generated Node #2: [57, 2, 38] from Operation: 74-36=38
Current State: 17:[57, 2, 38], Operations: ['74-36=38']
Exploring Operation: 57-2=55, Resulting Numbers: [38, 55]
Generated Node #3: [38, 55] from Operation: 57-2=55
Current State: 17:[38, 55], Operations: ['74-36=38', '57-2=55']
Exploring Operation: 55-38=17, Resulting Numbers: [17]
17,17 equal: Goal Reached
| 4 |
[
2,
79,
3,
21
] | 74 | [
"2+79=81",
"21/3=7",
"81-7=74"
] | Current State: 74:[2, 79, 3, 21], Operations: []
Exploring Operation: 2+79=81, Resulting Numbers: [3, 21, 81]
Generated Node #2: [3, 21, 81] from Operation: 2+79=81
Current State: 74:[3, 21, 81], Operations: ['2+79=81']
Exploring Operation: 21/3=7, Resulting Numbers: [81, 7]
Generated Node #3: [81, 7] from Operation: 21/3=7
Current State: 74:[81, 7], Operations: ['2+79=81', '21/3=7']
Exploring Operation: 81-7=74, Resulting Numbers: [74]
74,74 equal: Goal Reached
| 4 |
[
15,
10,
43,
35
] | 65 | [
"43-35=8",
"10*8=80",
"80-15=65"
] | Current State: 65:[15, 10, 43, 35], Operations: []
Exploring Operation: 43-35=8, Resulting Numbers: [15, 10, 8]
Generated Node #2: [15, 10, 8] from Operation: 43-35=8
Current State: 65:[15, 10, 8], Operations: ['43-35=8']
Exploring Operation: 10*8=80, Resulting Numbers: [15, 80]
Generated Node #3: [15, 80] from Operation: 10*8=80
Current State: 65:[15, 80], Operations: ['43-35=8', '10*8=80']
Exploring Operation: 80-15=65, Resulting Numbers: [65]
65,65 equal: Goal Reached
| 4 |
[
43,
38,
81,
4
] | 61 | [
"43-38=5",
"4*5=20",
"81-20=61"
] | Current State: 61:[43, 38, 81, 4], Operations: []
Exploring Operation: 43-38=5, Resulting Numbers: [81, 4, 5]
Generated Node #2: [81, 4, 5] from Operation: 43-38=5
Current State: 61:[81, 4, 5], Operations: ['43-38=5']
Exploring Operation: 4*5=20, Resulting Numbers: [81, 20]
Generated Node #3: [81, 20] from Operation: 4*5=20
Current State: 61:[81, 20], Operations: ['43-38=5', '4*5=20']
Exploring Operation: 81-20=61, Resulting Numbers: [61]
61,61 equal: Goal Reached
| 4 |
[
6,
74,
37,
67
] | 71 | [
"6+67=73",
"74/37=2",
"73-2=71"
] | Current State: 71:[6, 74, 37, 67], Operations: []
Exploring Operation: 6+67=73, Resulting Numbers: [74, 37, 73]
Generated Node #2: [74, 37, 73] from Operation: 6+67=73
Current State: 71:[74, 37, 73], Operations: ['6+67=73']
Exploring Operation: 74/37=2, Resulting Numbers: [73, 2]
Generated Node #3: [73, 2] from Operation: 74/37=2
Current State: 71:[73, 2], Operations: ['6+67=73', '74/37=2']
Exploring Operation: 73-2=71, Resulting Numbers: [71]
71,71 equal: Goal Reached
| 4 |
[
59,
80,
8,
62
] | 13 | [
"62-59=3",
"80/8=10",
"3+10=13"
] | Current State: 13:[59, 80, 8, 62], Operations: []
Exploring Operation: 62-59=3, Resulting Numbers: [80, 8, 3]
Generated Node #2: [80, 8, 3] from Operation: 62-59=3
Current State: 13:[80, 8, 3], Operations: ['62-59=3']
Exploring Operation: 80/8=10, Resulting Numbers: [3, 10]
Generated Node #3: [3, 10] from Operation: 80/8=10
Current State: 13:[3, 10], Operations: ['62-59=3', '80/8=10']
Exploring Operation: 3+10=13, Resulting Numbers: [13]
13,13 equal: Goal Reached
| 4 |
[
26,
87,
1,
70
] | 42 | [
"26+87=113",
"1+70=71",
"113-71=42"
] | Current State: 42:[26, 87, 1, 70], Operations: []
Exploring Operation: 26+87=113, Resulting Numbers: [1, 70, 113]
Generated Node #2: [1, 70, 113] from Operation: 26+87=113
Current State: 42:[1, 70, 113], Operations: ['26+87=113']
Exploring Operation: 1+70=71, Resulting Numbers: [113, 71]
Generated Node #3: [113, 71] from Operation: 1+70=71
Current State: 42:[113, 71], Operations: ['26+87=113', '1+70=71']
Exploring Operation: 113-71=42, Resulting Numbers: [42]
42,42 equal: Goal Reached
| 4 |
[
33,
93,
66,
10
] | 81 | [
"66/33=2",
"93-10=83",
"83-2=81"
] | Current State: 81:[33, 93, 66, 10], Operations: []
Exploring Operation: 66/33=2, Resulting Numbers: [93, 10, 2]
Generated Node #2: [93, 10, 2] from Operation: 66/33=2
Current State: 81:[93, 10, 2], Operations: ['66/33=2']
Exploring Operation: 93-10=83, Resulting Numbers: [2, 83]
Generated Node #3: [2, 83] from Operation: 93-10=83
Current State: 81:[2, 83], Operations: ['66/33=2', '93-10=83']
Exploring Operation: 83-2=81, Resulting Numbers: [81]
81,81 equal: Goal Reached
| 4 |
[
79,
79,
73,
11
] | 21 | [
"79+79=158",
"73+158=231",
"231/11=21"
] | Current State: 21:[79, 79, 73, 11], Operations: []
Exploring Operation: 79+79=158, Resulting Numbers: [73, 11, 158]
Generated Node #2: [73, 11, 158] from Operation: 79+79=158
Current State: 21:[73, 11, 158], Operations: ['79+79=158']
Exploring Operation: 73+158=231, Resulting Numbers: [11, 231]
Generated Node #3: [11, 231] from Operation: 73+158=231
Current State: 21:[11, 231], Operations: ['79+79=158', '73+158=231']
Exploring Operation: 231/11=21, Resulting Numbers: [21]
21,21 equal: Goal Reached
| 4 |
[
91,
5,
22,
72
] | 36 | [
"91-5=86",
"72-22=50",
"86-50=36"
] | Current State: 36:[91, 5, 22, 72], Operations: []
Exploring Operation: 91-5=86, Resulting Numbers: [22, 72, 86]
Generated Node #2: [22, 72, 86] from Operation: 91-5=86
Current State: 36:[22, 72, 86], Operations: ['91-5=86']
Exploring Operation: 72-22=50, Resulting Numbers: [86, 50]
Generated Node #3: [86, 50] from Operation: 72-22=50
Current State: 36:[86, 50], Operations: ['91-5=86', '72-22=50']
Exploring Operation: 86-50=36, Resulting Numbers: [36]
36,36 equal: Goal Reached
| 4 |
[
10,
17,
28,
97
] | 20 | [
"97-17=80",
"80/10=8",
"28-8=20"
] | Current State: 20:[10, 17, 28, 97], Operations: []
Exploring Operation: 97-17=80, Resulting Numbers: [10, 28, 80]
Generated Node #2: [10, 28, 80] from Operation: 97-17=80
Current State: 20:[10, 28, 80], Operations: ['97-17=80']
Exploring Operation: 80/10=8, Resulting Numbers: [28, 8]
Generated Node #3: [28, 8] from Operation: 80/10=8
Current State: 20:[28, 8], Operations: ['97-17=80', '80/10=8']
Exploring Operation: 28-8=20, Resulting Numbers: [20]
20,20 equal: Goal Reached
| 4 |
[
13,
56,
11,
50
] | 65 | [
"56-11=45",
"50-45=5",
"13*5=65"
] | Current State: 65:[13, 56, 11, 50], Operations: []
Exploring Operation: 56-11=45, Resulting Numbers: [13, 50, 45]
Generated Node #2: [13, 50, 45] from Operation: 56-11=45
Current State: 65:[13, 50, 45], Operations: ['56-11=45']
Exploring Operation: 50-45=5, Resulting Numbers: [13, 5]
Generated Node #3: [13, 5] from Operation: 50-45=5
Current State: 65:[13, 5], Operations: ['56-11=45', '50-45=5']
Exploring Operation: 13*5=65, Resulting Numbers: [65]
65,65 equal: Goal Reached
| 4 |
[
7,
89,
64,
88
] | 56 | [
"7+89=96",
"64+88=152",
"152-96=56"
] | Current State: 56:[7, 89, 64, 88], Operations: []
Exploring Operation: 7+89=96, Resulting Numbers: [64, 88, 96]
Generated Node #2: [64, 88, 96] from Operation: 7+89=96
Current State: 56:[64, 88, 96], Operations: ['7+89=96']
Exploring Operation: 64+88=152, Resulting Numbers: [96, 152]
Generated Node #3: [96, 152] from Operation: 64+88=152
Current State: 56:[96, 152], Operations: ['7+89=96', '64+88=152']
Exploring Operation: 152-96=56, Resulting Numbers: [56]
56,56 equal: Goal Reached
| 4 |
[
5,
89,
52,
43
] | 93 | [
"89-5=84",
"52-43=9",
"84+9=93"
] | Current State: 93:[5, 89, 52, 43], Operations: []
Exploring Operation: 89-5=84, Resulting Numbers: [52, 43, 84]
Generated Node #2: [52, 43, 84] from Operation: 89-5=84
Current State: 93:[52, 43, 84], Operations: ['89-5=84']
Exploring Operation: 52-43=9, Resulting Numbers: [84, 9]
Generated Node #3: [84, 9] from Operation: 52-43=9
Current State: 93:[84, 9], Operations: ['89-5=84', '52-43=9']
Exploring Operation: 84+9=93, Resulting Numbers: [93]
93,93 equal: Goal Reached
| 4 |
[
28,
9,
42,
24
] | 55 | [
"28+9=37",
"42-24=18",
"37+18=55"
] | Current State: 55:[28, 9, 42, 24], Operations: []
Exploring Operation: 28+9=37, Resulting Numbers: [42, 24, 37]
Generated Node #2: [42, 24, 37] from Operation: 28+9=37
Current State: 55:[42, 24, 37], Operations: ['28+9=37']
Exploring Operation: 42-24=18, Resulting Numbers: [37, 18]
Generated Node #3: [37, 18] from Operation: 42-24=18
Current State: 55:[37, 18], Operations: ['28+9=37', '42-24=18']
Exploring Operation: 37+18=55, Resulting Numbers: [55]
55,55 equal: Goal Reached
| 4 |
[
16,
76,
71,
79
] | 84 | [
"16+76=92",
"79-71=8",
"92-8=84"
] | Current State: 84:[16, 76, 71, 79], Operations: []
Exploring Operation: 16+76=92, Resulting Numbers: [71, 79, 92]
Generated Node #2: [71, 79, 92] from Operation: 16+76=92
Current State: 84:[71, 79, 92], Operations: ['16+76=92']
Exploring Operation: 79-71=8, Resulting Numbers: [92, 8]
Generated Node #3: [92, 8] from Operation: 79-71=8
Current State: 84:[92, 8], Operations: ['16+76=92', '79-71=8']
Exploring Operation: 92-8=84, Resulting Numbers: [84]
84,84 equal: Goal Reached
| 4 |
[
15,
82,
80,
87
] | 74 | [
"82-15=67",
"87-80=7",
"67+7=74"
] | Current State: 74:[15, 82, 80, 87], Operations: []
Exploring Operation: 82-15=67, Resulting Numbers: [80, 87, 67]
Generated Node #2: [80, 87, 67] from Operation: 82-15=67
Current State: 74:[80, 87, 67], Operations: ['82-15=67']
Exploring Operation: 87-80=7, Resulting Numbers: [67, 7]
Generated Node #3: [67, 7] from Operation: 87-80=7
Current State: 74:[67, 7], Operations: ['82-15=67', '87-80=7']
Exploring Operation: 67+7=74, Resulting Numbers: [74]
74,74 equal: Goal Reached
| 4 |
[
6,
2,
45,
8
] | 25 | [
"6*2=12",
"45-8=37",
"37-12=25"
] | Current State: 25:[6, 2, 45, 8], Operations: []
Exploring Operation: 6*2=12, Resulting Numbers: [45, 8, 12]
Generated Node #2: [45, 8, 12] from Operation: 6*2=12
Current State: 25:[45, 8, 12], Operations: ['6*2=12']
Exploring Operation: 45-8=37, Resulting Numbers: [12, 37]
Generated Node #3: [12, 37] from Operation: 45-8=37
Current State: 25:[12, 37], Operations: ['6*2=12', '45-8=37']
Exploring Operation: 37-12=25, Resulting Numbers: [25]
25,25 equal: Goal Reached
| 4 |
[
84,
65,
49,
27
] | 95 | [
"84-65=19",
"49+27=76",
"19+76=95"
] | Current State: 95:[84, 65, 49, 27], Operations: []
Exploring Operation: 84-65=19, Resulting Numbers: [49, 27, 19]
Generated Node #2: [49, 27, 19] from Operation: 84-65=19
Current State: 95:[49, 27, 19], Operations: ['84-65=19']
Exploring Operation: 49+27=76, Resulting Numbers: [19, 76]
Generated Node #3: [19, 76] from Operation: 49+27=76
Current State: 95:[19, 76], Operations: ['84-65=19', '49+27=76']
Exploring Operation: 19+76=95, Resulting Numbers: [95]
95,95 equal: Goal Reached
| 4 |
[
70,
3,
48,
77
] | 65 | [
"70+48=118",
"77+118=195",
"195/3=65"
] | Current State: 65:[70, 3, 48, 77], Operations: []
Exploring Operation: 70+48=118, Resulting Numbers: [3, 77, 118]
Generated Node #2: [3, 77, 118] from Operation: 70+48=118
Current State: 65:[3, 77, 118], Operations: ['70+48=118']
Exploring Operation: 77+118=195, Resulting Numbers: [3, 195]
Generated Node #3: [3, 195] from Operation: 77+118=195
Current State: 65:[3, 195], Operations: ['70+48=118', '77+118=195']
Exploring Operation: 195/3=65, Resulting Numbers: [65]
65,65 equal: Goal Reached
| 4 |
[
20,
27,
17,
35
] | 24 | [
"20-17=3",
"35-27=8",
"3*8=24"
] | Current State: 24:[20, 27, 17, 35], Operations: []
Exploring Operation: 20-17=3, Resulting Numbers: [27, 35, 3]
Generated Node #2: [27, 35, 3] from Operation: 20-17=3
Current State: 24:[27, 35, 3], Operations: ['20-17=3']
Exploring Operation: 35-27=8, Resulting Numbers: [3, 8]
Generated Node #3: [3, 8] from Operation: 35-27=8
Current State: 24:[3, 8], Operations: ['20-17=3', '35-27=8']
Exploring Operation: 3*8=24, Resulting Numbers: [24]
24,24 equal: Goal Reached
| 4 |
[
81,
6,
9,
14
] | 52 | [
"81-6=75",
"9+14=23",
"75-23=52"
] | Current State: 52:[81, 6, 9, 14], Operations: []
Exploring Operation: 81-6=75, Resulting Numbers: [9, 14, 75]
Generated Node #2: [9, 14, 75] from Operation: 81-6=75
Current State: 52:[9, 14, 75], Operations: ['81-6=75']
Exploring Operation: 9+14=23, Resulting Numbers: [75, 23]
Generated Node #3: [75, 23] from Operation: 9+14=23
Current State: 52:[75, 23], Operations: ['81-6=75', '9+14=23']
Exploring Operation: 75-23=52, Resulting Numbers: [52]
52,52 equal: Goal Reached
| 4 |
[
9,
81,
67,
9
] | 57 | [
"9+81=90",
"90/9=10",
"67-10=57"
] | Current State: 57:[9, 81, 67, 9], Operations: []
Exploring Operation: 9+81=90, Resulting Numbers: [67, 90]
Generated Node #2: [67, 90] from Operation: 9+81=90
Current State: 57:[67, 90], Operations: ['9+81=90']
Exploring Operation: 90/9=10, Resulting Numbers: [67, 10]
Generated Node #3: [67, 10] from Operation: 90/9=10
Current State: 57:[67, 10], Operations: ['9+81=90', '90/9=10']
Exploring Operation: 67-10=57, Resulting Numbers: [57]
57,57 equal: Goal Reached
| 4 |
[
6,
10,
11,
90
] | 40 | [
"11-6=5",
"10*5=50",
"90-50=40"
] | Current State: 40:[6, 10, 11, 90], Operations: []
Exploring Operation: 11-6=5, Resulting Numbers: [10, 90, 5]
Generated Node #2: [10, 90, 5] from Operation: 11-6=5
Current State: 40:[10, 90, 5], Operations: ['11-6=5']
Exploring Operation: 10*5=50, Resulting Numbers: [90, 50]
Generated Node #3: [90, 50] from Operation: 10*5=50
Current State: 40:[90, 50], Operations: ['11-6=5', '10*5=50']
Exploring Operation: 90-50=40, Resulting Numbers: [40]
40,40 equal: Goal Reached
| 4 |
[
89,
52,
57,
23
] | 71 | [
"89-52=37",
"57-23=34",
"37+34=71"
] | Current State: 71:[89, 52, 57, 23], Operations: []
Exploring Operation: 89-52=37, Resulting Numbers: [57, 23, 37]
Generated Node #2: [57, 23, 37] from Operation: 89-52=37
Current State: 71:[57, 23, 37], Operations: ['89-52=37']
Exploring Operation: 57-23=34, Resulting Numbers: [37, 34]
Generated Node #3: [37, 34] from Operation: 57-23=34
Current State: 71:[37, 34], Operations: ['89-52=37', '57-23=34']
Exploring Operation: 37+34=71, Resulting Numbers: [71]
71,71 equal: Goal Reached
| 4 |
[
84,
62,
56,
16
] | 94 | [
"84-62=22",
"56+16=72",
"22+72=94"
] | Current State: 94:[84, 62, 56, 16], Operations: []
Exploring Operation: 84-62=22, Resulting Numbers: [56, 16, 22]
Generated Node #2: [56, 16, 22] from Operation: 84-62=22
Current State: 94:[56, 16, 22], Operations: ['84-62=22']
Exploring Operation: 56+16=72, Resulting Numbers: [22, 72]
Generated Node #3: [22, 72] from Operation: 56+16=72
Current State: 94:[22, 72], Operations: ['84-62=22', '56+16=72']
Exploring Operation: 22+72=94, Resulting Numbers: [94]
94,94 equal: Goal Reached
| 4 |
[
31,
26,
47,
1
] | 41 | [
"31-26=5",
"47-1=46",
"46-5=41"
] | Current State: 41:[31, 26, 47, 1], Operations: []
Exploring Operation: 31-26=5, Resulting Numbers: [47, 1, 5]
Generated Node #2: [47, 1, 5] from Operation: 31-26=5
Current State: 41:[47, 1, 5], Operations: ['31-26=5']
Exploring Operation: 47-1=46, Resulting Numbers: [5, 46]
Generated Node #3: [5, 46] from Operation: 47-1=46
Current State: 41:[5, 46], Operations: ['31-26=5', '47-1=46']
Exploring Operation: 46-5=41, Resulting Numbers: [41]
41,41 equal: Goal Reached
| 4 |
[
20,
22,
64,
21
] | 44 | [
"64-20=44",
"22-21=1",
"44*1=44"
] | Current State: 44:[20, 22, 64, 21], Operations: []
Exploring Operation: 64-20=44, Resulting Numbers: [22, 21, 44]
Generated Node #2: [22, 21, 44] from Operation: 64-20=44
Current State: 44:[22, 21, 44], Operations: ['64-20=44']
Exploring Operation: 22-21=1, Resulting Numbers: [44, 1]
Generated Node #3: [44, 1] from Operation: 22-21=1
Current State: 44:[44, 1], Operations: ['64-20=44', '22-21=1']
Exploring Operation: 44*1=44, Resulting Numbers: [44]
44,44 equal: Goal Reached
| 4 |
[
84,
68,
98,
65
] | 70 | [
"68-65=3",
"84/3=28",
"98-28=70"
] | Current State: 70:[84, 68, 98, 65], Operations: []
Exploring Operation: 68-65=3, Resulting Numbers: [84, 98, 3]
Generated Node #2: [84, 98, 3] from Operation: 68-65=3
Current State: 70:[84, 98, 3], Operations: ['68-65=3']
Exploring Operation: 84/3=28, Resulting Numbers: [98, 28]
Generated Node #3: [98, 28] from Operation: 84/3=28
Current State: 70:[98, 28], Operations: ['68-65=3', '84/3=28']
Exploring Operation: 98-28=70, Resulting Numbers: [70]
70,70 equal: Goal Reached
| 4 |
[
32,
42,
58,
36
] | 12 | [
"42-32=10",
"58-36=22",
"22-10=12"
] | Current State: 12:[32, 42, 58, 36], Operations: []
Exploring Operation: 42-32=10, Resulting Numbers: [58, 36, 10]
Generated Node #2: [58, 36, 10] from Operation: 42-32=10
Current State: 12:[58, 36, 10], Operations: ['42-32=10']
Exploring Operation: 58-36=22, Resulting Numbers: [10, 22]
Generated Node #3: [10, 22] from Operation: 58-36=22
Current State: 12:[10, 22], Operations: ['42-32=10', '58-36=22']
Exploring Operation: 22-10=12, Resulting Numbers: [12]
12,12 equal: Goal Reached
| 4 |
[
83,
60,
88,
99
] | 12 | [
"83-60=23",
"99-88=11",
"23-11=12"
] | Current State: 12:[83, 60, 88, 99], Operations: []
Exploring Operation: 83-60=23, Resulting Numbers: [88, 99, 23]
Generated Node #2: [88, 99, 23] from Operation: 83-60=23
Current State: 12:[88, 99, 23], Operations: ['83-60=23']
Exploring Operation: 99-88=11, Resulting Numbers: [23, 11]
Generated Node #3: [23, 11] from Operation: 99-88=11
Current State: 12:[23, 11], Operations: ['83-60=23', '99-88=11']
Exploring Operation: 23-11=12, Resulting Numbers: [12]
12,12 equal: Goal Reached
| 4 |
[
40,
34,
37,
91
] | 19 | [
"40-37=3",
"91-34=57",
"57/3=19"
] | Current State: 19:[40, 34, 37, 91], Operations: []
Exploring Operation: 40-37=3, Resulting Numbers: [34, 91, 3]
Generated Node #2: [34, 91, 3] from Operation: 40-37=3
Current State: 19:[34, 91, 3], Operations: ['40-37=3']
Exploring Operation: 91-34=57, Resulting Numbers: [3, 57]
Generated Node #3: [3, 57] from Operation: 91-34=57
Current State: 19:[3, 57], Operations: ['40-37=3', '91-34=57']
Exploring Operation: 57/3=19, Resulting Numbers: [19]
19,19 equal: Goal Reached
| 4 |
[
36,
41,
56,
45
] | 47 | [
"41-36=5",
"45/5=9",
"56-9=47"
] | Current State: 47:[36, 41, 56, 45], Operations: []
Exploring Operation: 41-36=5, Resulting Numbers: [56, 45, 5]
Generated Node #2: [56, 45, 5] from Operation: 41-36=5
Current State: 47:[56, 45, 5], Operations: ['41-36=5']
Exploring Operation: 45/5=9, Resulting Numbers: [56, 9]
Generated Node #3: [56, 9] from Operation: 45/5=9
Current State: 47:[56, 9], Operations: ['41-36=5', '45/5=9']
Exploring Operation: 56-9=47, Resulting Numbers: [47]
47,47 equal: Goal Reached
| 4 |
[
9,
57,
45,
53
] | 55 | [
"57-45=12",
"9*12=108",
"108-53=55"
] | Current State: 55:[9, 57, 45, 53], Operations: []
Exploring Operation: 57-45=12, Resulting Numbers: [9, 53, 12]
Generated Node #2: [9, 53, 12] from Operation: 57-45=12
Current State: 55:[9, 53, 12], Operations: ['57-45=12']
Exploring Operation: 9*12=108, Resulting Numbers: [53, 108]
Generated Node #3: [53, 108] from Operation: 9*12=108
Current State: 55:[53, 108], Operations: ['57-45=12', '9*12=108']
Exploring Operation: 108-53=55, Resulting Numbers: [55]
55,55 equal: Goal Reached
| 4 |
[
25,
42,
66,
92
] | 64 | [
"92-42=50",
"50/25=2",
"66-2=64"
] | Current State: 64:[25, 42, 66, 92], Operations: []
Exploring Operation: 92-42=50, Resulting Numbers: [25, 66, 50]
Generated Node #2: [25, 66, 50] from Operation: 92-42=50
Current State: 64:[25, 66, 50], Operations: ['92-42=50']
Exploring Operation: 50/25=2, Resulting Numbers: [66, 2]
Generated Node #3: [66, 2] from Operation: 50/25=2
Current State: 64:[66, 2], Operations: ['92-42=50', '50/25=2']
Exploring Operation: 66-2=64, Resulting Numbers: [64]
64,64 equal: Goal Reached
| 4 |
[
22,
2,
6,
26
] | 52 | [
"22-2=20",
"6+26=32",
"20+32=52"
] | Current State: 52:[22, 2, 6, 26], Operations: []
Exploring Operation: 22-2=20, Resulting Numbers: [6, 26, 20]
Generated Node #2: [6, 26, 20] from Operation: 22-2=20
Current State: 52:[6, 26, 20], Operations: ['22-2=20']
Exploring Operation: 6+26=32, Resulting Numbers: [20, 32]
Generated Node #3: [20, 32] from Operation: 6+26=32
Current State: 52:[20, 32], Operations: ['22-2=20', '6+26=32']
Exploring Operation: 20+32=52, Resulting Numbers: [52]
52,52 equal: Goal Reached
| 4 |
[
5,
23,
13,
44
] | 29 | [
"5+23=28",
"13+44=57",
"57-28=29"
] | Current State: 29:[5, 23, 13, 44], Operations: []
Exploring Operation: 5+23=28, Resulting Numbers: [13, 44, 28]
Generated Node #2: [13, 44, 28] from Operation: 5+23=28
Current State: 29:[13, 44, 28], Operations: ['5+23=28']
Exploring Operation: 13+44=57, Resulting Numbers: [28, 57]
Generated Node #3: [28, 57] from Operation: 13+44=57
Current State: 29:[28, 57], Operations: ['5+23=28', '13+44=57']
Exploring Operation: 57-28=29, Resulting Numbers: [29]
29,29 equal: Goal Reached
| 4 |
[
84,
79,
15,
86
] | 66 | [
"84-79=5",
"86-15=71",
"71-5=66"
] | Current State: 66:[84, 79, 15, 86], Operations: []
Exploring Operation: 84-79=5, Resulting Numbers: [15, 86, 5]
Generated Node #2: [15, 86, 5] from Operation: 84-79=5
Current State: 66:[15, 86, 5], Operations: ['84-79=5']
Exploring Operation: 86-15=71, Resulting Numbers: [5, 71]
Generated Node #3: [5, 71] from Operation: 86-15=71
Current State: 66:[5, 71], Operations: ['84-79=5', '86-15=71']
Exploring Operation: 71-5=66, Resulting Numbers: [66]
66,66 equal: Goal Reached
| 4 |
[
92,
4,
95,
92
] | 98 | [
"92/92=1",
"4+95=99",
"99-1=98"
] | Current State: 98:[92, 4, 95, 92], Operations: []
Exploring Operation: 92/92=1, Resulting Numbers: [4, 95, 1]
Generated Node #2: [4, 95, 1] from Operation: 92/92=1
Current State: 98:[4, 95, 1], Operations: ['92/92=1']
Exploring Operation: 4+95=99, Resulting Numbers: [1, 99]
Generated Node #3: [1, 99] from Operation: 4+95=99
Current State: 98:[1, 99], Operations: ['92/92=1', '4+95=99']
Exploring Operation: 99-1=98, Resulting Numbers: [98]
98,98 equal: Goal Reached
| 4 |
[
97,
7,
70,
26
] | 81 | [
"97-26=71",
"70/7=10",
"71+10=81"
] | Current State: 81:[97, 7, 70, 26], Operations: []
Exploring Operation: 97-26=71, Resulting Numbers: [7, 70, 71]
Generated Node #2: [7, 70, 71] from Operation: 97-26=71
Current State: 81:[7, 70, 71], Operations: ['97-26=71']
Exploring Operation: 70/7=10, Resulting Numbers: [71, 10]
Generated Node #3: [71, 10] from Operation: 70/7=10
Current State: 81:[71, 10], Operations: ['97-26=71', '70/7=10']
Exploring Operation: 71+10=81, Resulting Numbers: [81]
81,81 equal: Goal Reached
| 4 |
[
40,
93,
14,
8
] | 74 | [
"40/8=5",
"93-14=79",
"79-5=74"
] | Current State: 74:[40, 93, 14, 8], Operations: []
Exploring Operation: 40/8=5, Resulting Numbers: [93, 14, 5]
Generated Node #2: [93, 14, 5] from Operation: 40/8=5
Current State: 74:[93, 14, 5], Operations: ['40/8=5']
Exploring Operation: 93-14=79, Resulting Numbers: [5, 79]
Generated Node #3: [5, 79] from Operation: 93-14=79
Current State: 74:[5, 79], Operations: ['40/8=5', '93-14=79']
Exploring Operation: 79-5=74, Resulting Numbers: [74]
74,74 equal: Goal Reached
| 4 |
[
84,
50,
76,
14
] | 75 | [
"50+76=126",
"126/14=9",
"84-9=75"
] | Current State: 75:[84, 50, 76, 14], Operations: []
Exploring Operation: 50+76=126, Resulting Numbers: [84, 14, 126]
Generated Node #2: [84, 14, 126] from Operation: 50+76=126
Current State: 75:[84, 14, 126], Operations: ['50+76=126']
Exploring Operation: 126/14=9, Resulting Numbers: [84, 9]
Generated Node #3: [84, 9] from Operation: 126/14=9
Current State: 75:[84, 9], Operations: ['50+76=126', '126/14=9']
Exploring Operation: 84-9=75, Resulting Numbers: [75]
75,75 equal: Goal Reached
| 4 |
[
9,
72,
98,
67
] | 53 | [
"72-67=5",
"9*5=45",
"98-45=53"
] | Current State: 53:[9, 72, 98, 67], Operations: []
Exploring Operation: 72-67=5, Resulting Numbers: [9, 98, 5]
Generated Node #2: [9, 98, 5] from Operation: 72-67=5
Current State: 53:[9, 98, 5], Operations: ['72-67=5']
Exploring Operation: 9*5=45, Resulting Numbers: [98, 45]
Generated Node #3: [98, 45] from Operation: 9*5=45
Current State: 53:[98, 45], Operations: ['72-67=5', '9*5=45']
Exploring Operation: 98-45=53, Resulting Numbers: [53]
53,53 equal: Goal Reached
| 4 |
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