nums listlengths 4 4 | target int64 10 100 | solution listlengths 3 3 | optimal_path stringlengths 282 529 | start_size int64 4 4 |
|---|---|---|---|---|
[
57,
46,
2,
10
] | 91 | [
"57+46=103",
"2+10=12",
"103-12=91"
] | Current State: 91:[57, 46, 2, 10], Operations: []
Exploring Operation: 57+46=103, Resulting Numbers: [2, 10, 103]
Generated Node #2: [2, 10, 103] from Operation: 57+46=103
Current State: 91:[2, 10, 103], Operations: ['57+46=103']
Exploring Operation: 2+10=12, Resulting Numbers: [103, 12]
Generated Node #3: [103, 12] from Operation: 2+10=12
Current State: 91:[103, 12], Operations: ['57+46=103', '2+10=12']
Exploring Operation: 103-12=91, Resulting Numbers: [91]
91,91 equal: Goal Reached
| 4 |
[
3,
2,
8,
39
] | 39 | [
"8/2=4",
"4-3=1",
"39*1=39"
] | Current State: 39:[3, 2, 8, 39], Operations: []
Exploring Operation: 8/2=4, Resulting Numbers: [3, 39, 4]
Generated Node #2: [3, 39, 4] from Operation: 8/2=4
Current State: 39:[3, 39, 4], Operations: ['8/2=4']
Exploring Operation: 4-3=1, Resulting Numbers: [39, 1]
Generated Node #3: [39, 1] from Operation: 4-3=1
Current State: 39:[39, 1], Operations: ['8/2=4', '4-3=1']
Exploring Operation: 39*1=39, Resulting Numbers: [39]
39,39 equal: Goal Reached
| 4 |
[
3,
70,
60,
14
] | 21 | [
"70-3=67",
"60-14=46",
"67-46=21"
] | Current State: 21:[3, 70, 60, 14], Operations: []
Exploring Operation: 70-3=67, Resulting Numbers: [60, 14, 67]
Generated Node #2: [60, 14, 67] from Operation: 70-3=67
Current State: 21:[60, 14, 67], Operations: ['70-3=67']
Exploring Operation: 60-14=46, Resulting Numbers: [67, 46]
Generated Node #3: [67, 46] from Operation: 60-14=46
Current State: 21:[67, 46], Operations: ['70-3=67', '60-14=46']
Exploring Operation: 67-46=21, Resulting Numbers: [21]
21,21 equal: Goal Reached
| 4 |
[
89,
18,
82,
9
] | 81 | [
"89-82=7",
"9*7=63",
"18+63=81"
] | Current State: 81:[89, 18, 82, 9], Operations: []
Exploring Operation: 89-82=7, Resulting Numbers: [18, 9, 7]
Generated Node #2: [18, 9, 7] from Operation: 89-82=7
Current State: 81:[18, 9, 7], Operations: ['89-82=7']
Exploring Operation: 9*7=63, Resulting Numbers: [18, 63]
Generated Node #3: [18, 63] from Operation: 9*7=63
Current State: 81:[18, 63], Operations: ['89-82=7', '9*7=63']
Exploring Operation: 18+63=81, Resulting Numbers: [81]
81,81 equal: Goal Reached
| 4 |
[
11,
66,
98,
84
] | 41 | [
"66-11=55",
"98-84=14",
"55-14=41"
] | Current State: 41:[11, 66, 98, 84], Operations: []
Exploring Operation: 66-11=55, Resulting Numbers: [98, 84, 55]
Generated Node #2: [98, 84, 55] from Operation: 66-11=55
Current State: 41:[98, 84, 55], Operations: ['66-11=55']
Exploring Operation: 98-84=14, Resulting Numbers: [55, 14]
Generated Node #3: [55, 14] from Operation: 98-84=14
Current State: 41:[55, 14], Operations: ['66-11=55', '98-84=14']
Exploring Operation: 55-14=41, Resulting Numbers: [41]
41,41 equal: Goal Reached
| 4 |
[
56,
92,
26,
52
] | 34 | [
"92-56=36",
"52/26=2",
"36-2=34"
] | Current State: 34:[56, 92, 26, 52], Operations: []
Exploring Operation: 92-56=36, Resulting Numbers: [26, 52, 36]
Generated Node #2: [26, 52, 36] from Operation: 92-56=36
Current State: 34:[26, 52, 36], Operations: ['92-56=36']
Exploring Operation: 52/26=2, Resulting Numbers: [36, 2]
Generated Node #3: [36, 2] from Operation: 52/26=2
Current State: 34:[36, 2], Operations: ['92-56=36', '52/26=2']
Exploring Operation: 36-2=34, Resulting Numbers: [34]
34,34 equal: Goal Reached
| 4 |
[
85,
19,
50,
5
] | 49 | [
"85+19=104",
"50+5=55",
"104-55=49"
] | Current State: 49:[85, 19, 50, 5], Operations: []
Exploring Operation: 85+19=104, Resulting Numbers: [50, 5, 104]
Generated Node #2: [50, 5, 104] from Operation: 85+19=104
Current State: 49:[50, 5, 104], Operations: ['85+19=104']
Exploring Operation: 50+5=55, Resulting Numbers: [104, 55]
Generated Node #3: [104, 55] from Operation: 50+5=55
Current State: 49:[104, 55], Operations: ['85+19=104', '50+5=55']
Exploring Operation: 104-55=49, Resulting Numbers: [49]
49,49 equal: Goal Reached
| 4 |
[
4,
98,
98,
25
] | 28 | [
"4+25=29",
"98/98=1",
"29-1=28"
] | Current State: 28:[4, 98, 98, 25], Operations: []
Exploring Operation: 4+25=29, Resulting Numbers: [98, 98, 29]
Generated Node #2: [98, 98, 29] from Operation: 4+25=29
Current State: 28:[98, 98, 29], Operations: ['4+25=29']
Exploring Operation: 98/98=1, Resulting Numbers: [29, 1]
Generated Node #3: [29, 1] from Operation: 98/98=1
Current State: 28:[29, 1], Operations: ['4+25=29', '98/98=1']
Exploring Operation: 29-1=28, Resulting Numbers: [28]
28,28 equal: Goal Reached
| 4 |
[
75,
78,
30,
3
] | 83 | [
"75/3=25",
"78+30=108",
"108-25=83"
] | Current State: 83:[75, 78, 30, 3], Operations: []
Exploring Operation: 75/3=25, Resulting Numbers: [78, 30, 25]
Generated Node #2: [78, 30, 25] from Operation: 75/3=25
Current State: 83:[78, 30, 25], Operations: ['75/3=25']
Exploring Operation: 78+30=108, Resulting Numbers: [25, 108]
Generated Node #3: [25, 108] from Operation: 78+30=108
Current State: 83:[25, 108], Operations: ['75/3=25', '78+30=108']
Exploring Operation: 108-25=83, Resulting Numbers: [83]
83,83 equal: Goal Reached
| 4 |
[
70,
29,
53,
85
] | 39 | [
"70+29=99",
"53+85=138",
"138-99=39"
] | Current State: 39:[70, 29, 53, 85], Operations: []
Exploring Operation: 70+29=99, Resulting Numbers: [53, 85, 99]
Generated Node #2: [53, 85, 99] from Operation: 70+29=99
Current State: 39:[53, 85, 99], Operations: ['70+29=99']
Exploring Operation: 53+85=138, Resulting Numbers: [99, 138]
Generated Node #3: [99, 138] from Operation: 53+85=138
Current State: 39:[99, 138], Operations: ['70+29=99', '53+85=138']
Exploring Operation: 138-99=39, Resulting Numbers: [39]
39,39 equal: Goal Reached
| 4 |
[
3,
42,
52,
80
] | 34 | [
"3*52=156",
"42+80=122",
"156-122=34"
] | Current State: 34:[3, 42, 52, 80], Operations: []
Exploring Operation: 3*52=156, Resulting Numbers: [42, 80, 156]
Generated Node #2: [42, 80, 156] from Operation: 3*52=156
Current State: 34:[42, 80, 156], Operations: ['3*52=156']
Exploring Operation: 42+80=122, Resulting Numbers: [156, 122]
Generated Node #3: [156, 122] from Operation: 42+80=122
Current State: 34:[156, 122], Operations: ['3*52=156', '42+80=122']
Exploring Operation: 156-122=34, Resulting Numbers: [34]
34,34 equal: Goal Reached
| 4 |
[
70,
62,
69,
36
] | 41 | [
"70-62=8",
"69-36=33",
"8+33=41"
] | Current State: 41:[70, 62, 69, 36], Operations: []
Exploring Operation: 70-62=8, Resulting Numbers: [69, 36, 8]
Generated Node #2: [69, 36, 8] from Operation: 70-62=8
Current State: 41:[69, 36, 8], Operations: ['70-62=8']
Exploring Operation: 69-36=33, Resulting Numbers: [8, 33]
Generated Node #3: [8, 33] from Operation: 69-36=33
Current State: 41:[8, 33], Operations: ['70-62=8', '69-36=33']
Exploring Operation: 8+33=41, Resulting Numbers: [41]
41,41 equal: Goal Reached
| 4 |
[
22,
93,
80,
11
] | 67 | [
"22*80=1760",
"1760/11=160",
"160-93=67"
] | Current State: 67:[22, 93, 80, 11], Operations: []
Exploring Operation: 22*80=1760, Resulting Numbers: [93, 11, 1760]
Generated Node #2: [93, 11, 1760] from Operation: 22*80=1760
Current State: 67:[93, 11, 1760], Operations: ['22*80=1760']
Exploring Operation: 1760/11=160, Resulting Numbers: [93, 160]
Generated Node #3: [93, 160] from Operation: 1760/11=160
Current State: 67:[93, 160], Operations: ['22*80=1760', '1760/11=160']
Exploring Operation: 160-93=67, Resulting Numbers: [67]
67,67 equal: Goal Reached
| 4 |
[
14,
76,
72,
58
] | 56 | [
"14*72=1008",
"76-58=18",
"1008/18=56"
] | Current State: 56:[14, 76, 72, 58], Operations: []
Exploring Operation: 14*72=1008, Resulting Numbers: [76, 58, 1008]
Generated Node #2: [76, 58, 1008] from Operation: 14*72=1008
Current State: 56:[76, 58, 1008], Operations: ['14*72=1008']
Exploring Operation: 76-58=18, Resulting Numbers: [1008, 18]
Generated Node #3: [1008, 18] from Operation: 76-58=18
Current State: 56:[1008, 18], Operations: ['14*72=1008', '76-58=18']
Exploring Operation: 1008/18=56, Resulting Numbers: [56]
56,56 equal: Goal Reached
| 4 |
[
53,
56,
3,
67
] | 61 | [
"56-53=3",
"67-3=64",
"64-3=61"
] | Current State: 61:[53, 56, 3, 67], Operations: []
Exploring Operation: 56-53=3, Resulting Numbers: [3, 67, 3]
Generated Node #2: [3, 67, 3] from Operation: 56-53=3
Current State: 61:[3, 67, 3], Operations: ['56-53=3']
Exploring Operation: 67-3=64, Resulting Numbers: [64]
64,61 equal: Goal Reached
Exploring Operation: 64-3=61, Resulting Numbers: [61]
61,61 equal: Goal Reached
| 4 |
[
70,
54,
64,
60
] | 64 | [
"70-54=16",
"64-60=4",
"16*4=64"
] | Current State: 64:[70, 54, 64, 60], Operations: []
Exploring Operation: 70-54=16, Resulting Numbers: [64, 60, 16]
Generated Node #2: [64, 60, 16] from Operation: 70-54=16
Current State: 64:[64, 60, 16], Operations: ['70-54=16']
Exploring Operation: 64-60=4, Resulting Numbers: [16, 4]
Generated Node #3: [16, 4] from Operation: 64-60=4
Current State: 64:[16, 4], Operations: ['70-54=16', '64-60=4']
Exploring Operation: 16*4=64, Resulting Numbers: [64]
64,64 equal: Goal Reached
| 4 |
[
44,
85,
69,
41
] | 69 | [
"85-44=41",
"69+41=110",
"110-41=69"
] | Current State: 69:[44, 85, 69, 41], Operations: []
Exploring Operation: 85-44=41, Resulting Numbers: [69, 41, 41]
Generated Node #2: [69, 41, 41] from Operation: 85-44=41
Current State: 69:[69, 41, 41], Operations: ['85-44=41']
Exploring Operation: 69+41=110, Resulting Numbers: [110]
110,69 equal: Goal Reached
Exploring Operation: 110-41=69, Resulting Numbers: [69]
69,69 equal: Goal Reached
| 4 |
[
18,
21,
11,
12
] | 63 | [
"18-11=7",
"21-12=9",
"7*9=63"
] | Current State: 63:[18, 21, 11, 12], Operations: []
Exploring Operation: 18-11=7, Resulting Numbers: [21, 12, 7]
Generated Node #2: [21, 12, 7] from Operation: 18-11=7
Current State: 63:[21, 12, 7], Operations: ['18-11=7']
Exploring Operation: 21-12=9, Resulting Numbers: [7, 9]
Generated Node #3: [7, 9] from Operation: 21-12=9
Current State: 63:[7, 9], Operations: ['18-11=7', '21-12=9']
Exploring Operation: 7*9=63, Resulting Numbers: [63]
63,63 equal: Goal Reached
| 4 |
[
83,
6,
33,
58
] | 57 | [
"83+58=141",
"6*33=198",
"198-141=57"
] | Current State: 57:[83, 6, 33, 58], Operations: []
Exploring Operation: 83+58=141, Resulting Numbers: [6, 33, 141]
Generated Node #2: [6, 33, 141] from Operation: 83+58=141
Current State: 57:[6, 33, 141], Operations: ['83+58=141']
Exploring Operation: 6*33=198, Resulting Numbers: [141, 198]
Generated Node #3: [141, 198] from Operation: 6*33=198
Current State: 57:[141, 198], Operations: ['83+58=141', '6*33=198']
Exploring Operation: 198-141=57, Resulting Numbers: [57]
57,57 equal: Goal Reached
| 4 |
[
73,
39,
90,
9
] | 31 | [
"73+39=112",
"90-9=81",
"112-81=31"
] | Current State: 31:[73, 39, 90, 9], Operations: []
Exploring Operation: 73+39=112, Resulting Numbers: [90, 9, 112]
Generated Node #2: [90, 9, 112] from Operation: 73+39=112
Current State: 31:[90, 9, 112], Operations: ['73+39=112']
Exploring Operation: 90-9=81, Resulting Numbers: [112, 81]
Generated Node #3: [112, 81] from Operation: 90-9=81
Current State: 31:[112, 81], Operations: ['73+39=112', '90-9=81']
Exploring Operation: 112-81=31, Resulting Numbers: [31]
31,31 equal: Goal Reached
| 4 |
[
50,
76,
31,
62
] | 63 | [
"50+76=126",
"62/31=2",
"126/2=63"
] | Current State: 63:[50, 76, 31, 62], Operations: []
Exploring Operation: 50+76=126, Resulting Numbers: [31, 62, 126]
Generated Node #2: [31, 62, 126] from Operation: 50+76=126
Current State: 63:[31, 62, 126], Operations: ['50+76=126']
Exploring Operation: 62/31=2, Resulting Numbers: [126, 2]
Generated Node #3: [126, 2] from Operation: 62/31=2
Current State: 63:[126, 2], Operations: ['50+76=126', '62/31=2']
Exploring Operation: 126/2=63, Resulting Numbers: [63]
63,63 equal: Goal Reached
| 4 |
[
35,
48,
27,
22
] | 16 | [
"35-27=8",
"48/8=6",
"22-6=16"
] | Current State: 16:[35, 48, 27, 22], Operations: []
Exploring Operation: 35-27=8, Resulting Numbers: [48, 22, 8]
Generated Node #2: [48, 22, 8] from Operation: 35-27=8
Current State: 16:[48, 22, 8], Operations: ['35-27=8']
Exploring Operation: 48/8=6, Resulting Numbers: [22, 6]
Generated Node #3: [22, 6] from Operation: 48/8=6
Current State: 16:[22, 6], Operations: ['35-27=8', '48/8=6']
Exploring Operation: 22-6=16, Resulting Numbers: [16]
16,16 equal: Goal Reached
| 4 |
[
19,
15,
52,
65
] | 90 | [
"19+52=71",
"71-65=6",
"15*6=90"
] | Current State: 90:[19, 15, 52, 65], Operations: []
Exploring Operation: 19+52=71, Resulting Numbers: [15, 65, 71]
Generated Node #2: [15, 65, 71] from Operation: 19+52=71
Current State: 90:[15, 65, 71], Operations: ['19+52=71']
Exploring Operation: 71-65=6, Resulting Numbers: [15, 6]
Generated Node #3: [15, 6] from Operation: 71-65=6
Current State: 90:[15, 6], Operations: ['19+52=71', '71-65=6']
Exploring Operation: 15*6=90, Resulting Numbers: [90]
90,90 equal: Goal Reached
| 4 |
[
17,
55,
20,
65
] | 34 | [
"17*20=340",
"65-55=10",
"340/10=34"
] | Current State: 34:[17, 55, 20, 65], Operations: []
Exploring Operation: 17*20=340, Resulting Numbers: [55, 65, 340]
Generated Node #2: [55, 65, 340] from Operation: 17*20=340
Current State: 34:[55, 65, 340], Operations: ['17*20=340']
Exploring Operation: 65-55=10, Resulting Numbers: [340, 10]
Generated Node #3: [340, 10] from Operation: 65-55=10
Current State: 34:[340, 10], Operations: ['17*20=340', '65-55=10']
Exploring Operation: 340/10=34, Resulting Numbers: [34]
34,34 equal: Goal Reached
| 4 |
[
15,
88,
43,
92
] | 95 | [
"88-43=45",
"45/15=3",
"92+3=95"
] | Current State: 95:[15, 88, 43, 92], Operations: []
Exploring Operation: 88-43=45, Resulting Numbers: [15, 92, 45]
Generated Node #2: [15, 92, 45] from Operation: 88-43=45
Current State: 95:[15, 92, 45], Operations: ['88-43=45']
Exploring Operation: 45/15=3, Resulting Numbers: [92, 3]
Generated Node #3: [92, 3] from Operation: 45/15=3
Current State: 95:[92, 3], Operations: ['88-43=45', '45/15=3']
Exploring Operation: 92+3=95, Resulting Numbers: [95]
95,95 equal: Goal Reached
| 4 |
[
13,
19,
86,
6
] | 86 | [
"19-13=6",
"86+6=92",
"92-6=86"
] | Current State: 86:[13, 19, 86, 6], Operations: []
Exploring Operation: 19-13=6, Resulting Numbers: [86, 6, 6]
Generated Node #2: [86, 6, 6] from Operation: 19-13=6
Current State: 86:[86, 6, 6], Operations: ['19-13=6']
Exploring Operation: 86+6=92, Resulting Numbers: [92]
92,86 equal: Goal Reached
Exploring Operation: 92-6=86, Resulting Numbers: [86]
86,86 equal: Goal Reached
| 4 |
[
30,
35,
1,
64
] | 58 | [
"35-30=5",
"64-1=63",
"63-5=58"
] | Current State: 58:[30, 35, 1, 64], Operations: []
Exploring Operation: 35-30=5, Resulting Numbers: [1, 64, 5]
Generated Node #2: [1, 64, 5] from Operation: 35-30=5
Current State: 58:[1, 64, 5], Operations: ['35-30=5']
Exploring Operation: 64-1=63, Resulting Numbers: [5, 63]
Generated Node #3: [5, 63] from Operation: 64-1=63
Current State: 58:[5, 63], Operations: ['35-30=5', '64-1=63']
Exploring Operation: 63-5=58, Resulting Numbers: [58]
58,58 equal: Goal Reached
| 4 |
[
12,
19,
25,
7
] | 79 | [
"25-19=6",
"12*6=72",
"7+72=79"
] | Current State: 79:[12, 19, 25, 7], Operations: []
Exploring Operation: 25-19=6, Resulting Numbers: [12, 7, 6]
Generated Node #2: [12, 7, 6] from Operation: 25-19=6
Current State: 79:[12, 7, 6], Operations: ['25-19=6']
Exploring Operation: 12*6=72, Resulting Numbers: [7, 72]
Generated Node #3: [7, 72] from Operation: 12*6=72
Current State: 79:[7, 72], Operations: ['25-19=6', '12*6=72']
Exploring Operation: 7+72=79, Resulting Numbers: [79]
79,79 equal: Goal Reached
| 4 |
[
4,
37,
76,
92
] | 33 | [
"92-76=16",
"16/4=4",
"37-4=33"
] | Current State: 33:[4, 37, 76, 92], Operations: []
Exploring Operation: 92-76=16, Resulting Numbers: [4, 37, 16]
Generated Node #2: [4, 37, 16] from Operation: 92-76=16
Current State: 33:[4, 37, 16], Operations: ['92-76=16']
Exploring Operation: 16/4=4, Resulting Numbers: [37, 4]
Generated Node #3: [37, 4] from Operation: 16/4=4
Current State: 33:[37, 4], Operations: ['92-76=16', '16/4=4']
Exploring Operation: 37-4=33, Resulting Numbers: [33]
33,33 equal: Goal Reached
| 4 |
[
26,
65,
80,
85
] | 30 | [
"85-65=20",
"80/20=4",
"26+4=30"
] | Current State: 30:[26, 65, 80, 85], Operations: []
Exploring Operation: 85-65=20, Resulting Numbers: [26, 80, 20]
Generated Node #2: [26, 80, 20] from Operation: 85-65=20
Current State: 30:[26, 80, 20], Operations: ['85-65=20']
Exploring Operation: 80/20=4, Resulting Numbers: [26, 4]
Generated Node #3: [26, 4] from Operation: 80/20=4
Current State: 30:[26, 4], Operations: ['85-65=20', '80/20=4']
Exploring Operation: 26+4=30, Resulting Numbers: [30]
30,30 equal: Goal Reached
| 4 |
[
64,
61,
43,
89
] | 77 | [
"64*61=3904",
"43*89=3827",
"3904-3827=77"
] | Current State: 77:[64, 61, 43, 89], Operations: []
Exploring Operation: 64*61=3904, Resulting Numbers: [43, 89, 3904]
Generated Node #2: [43, 89, 3904] from Operation: 64*61=3904
Current State: 77:[43, 89, 3904], Operations: ['64*61=3904']
Exploring Operation: 43*89=3827, Resulting Numbers: [3904, 3827]
Generated Node #3: [3904, 3827] from Operation: 43*89=3827
Current State: 77:[3904, 3827], Operations: ['64*61=3904', '43*89=3827']
Exploring Operation: 3904-3827=77, Resulting Numbers: [77]
77,77 equal: Goal Reached
| 4 |
[
13,
24,
91,
95
] | 19 | [
"95-91=4",
"24/4=6",
"13+6=19"
] | Current State: 19:[13, 24, 91, 95], Operations: []
Exploring Operation: 95-91=4, Resulting Numbers: [13, 24, 4]
Generated Node #2: [13, 24, 4] from Operation: 95-91=4
Current State: 19:[13, 24, 4], Operations: ['95-91=4']
Exploring Operation: 24/4=6, Resulting Numbers: [13, 6]
Generated Node #3: [13, 6] from Operation: 24/4=6
Current State: 19:[13, 6], Operations: ['95-91=4', '24/4=6']
Exploring Operation: 13+6=19, Resulting Numbers: [19]
19,19 equal: Goal Reached
| 4 |
[
50,
4,
5,
10
] | 32 | [
"50-10=40",
"4*40=160",
"160/5=32"
] | Current State: 32:[50, 4, 5, 10], Operations: []
Exploring Operation: 50-10=40, Resulting Numbers: [4, 5, 40]
Generated Node #2: [4, 5, 40] from Operation: 50-10=40
Current State: 32:[4, 5, 40], Operations: ['50-10=40']
Exploring Operation: 4*40=160, Resulting Numbers: [5, 160]
Generated Node #3: [5, 160] from Operation: 4*40=160
Current State: 32:[5, 160], Operations: ['50-10=40', '4*40=160']
Exploring Operation: 160/5=32, Resulting Numbers: [32]
32,32 equal: Goal Reached
| 4 |
[
5,
75,
21,
8
] | 99 | [
"75-5=70",
"21+8=29",
"70+29=99"
] | Current State: 99:[5, 75, 21, 8], Operations: []
Exploring Operation: 75-5=70, Resulting Numbers: [21, 8, 70]
Generated Node #2: [21, 8, 70] from Operation: 75-5=70
Current State: 99:[21, 8, 70], Operations: ['75-5=70']
Exploring Operation: 21+8=29, Resulting Numbers: [70, 29]
Generated Node #3: [70, 29] from Operation: 21+8=29
Current State: 99:[70, 29], Operations: ['75-5=70', '21+8=29']
Exploring Operation: 70+29=99, Resulting Numbers: [99]
99,99 equal: Goal Reached
| 4 |
[
77,
62,
60,
4
] | 85 | [
"62-60=2",
"4*2=8",
"77+8=85"
] | Current State: 85:[77, 62, 60, 4], Operations: []
Exploring Operation: 62-60=2, Resulting Numbers: [77, 4, 2]
Generated Node #2: [77, 4, 2] from Operation: 62-60=2
Current State: 85:[77, 4, 2], Operations: ['62-60=2']
Exploring Operation: 4*2=8, Resulting Numbers: [77, 8]
Generated Node #3: [77, 8] from Operation: 4*2=8
Current State: 85:[77, 8], Operations: ['62-60=2', '4*2=8']
Exploring Operation: 77+8=85, Resulting Numbers: [85]
85,85 equal: Goal Reached
| 4 |
[
28,
6,
25,
24
] | 50 | [
"28-6=22",
"24-22=2",
"25*2=50"
] | Current State: 50:[28, 6, 25, 24], Operations: []
Exploring Operation: 28-6=22, Resulting Numbers: [25, 24, 22]
Generated Node #2: [25, 24, 22] from Operation: 28-6=22
Current State: 50:[25, 24, 22], Operations: ['28-6=22']
Exploring Operation: 24-22=2, Resulting Numbers: [25, 2]
Generated Node #3: [25, 2] from Operation: 24-22=2
Current State: 50:[25, 2], Operations: ['28-6=22', '24-22=2']
Exploring Operation: 25*2=50, Resulting Numbers: [50]
50,50 equal: Goal Reached
| 4 |
[
19,
5,
1,
39
] | 99 | [
"39-19=20",
"5*20=100",
"100-1=99"
] | Current State: 99:[19, 5, 1, 39], Operations: []
Exploring Operation: 39-19=20, Resulting Numbers: [5, 1, 20]
Generated Node #2: [5, 1, 20] from Operation: 39-19=20
Current State: 99:[5, 1, 20], Operations: ['39-19=20']
Exploring Operation: 5*20=100, Resulting Numbers: [1, 100]
Generated Node #3: [1, 100] from Operation: 5*20=100
Current State: 99:[1, 100], Operations: ['39-19=20', '5*20=100']
Exploring Operation: 100-1=99, Resulting Numbers: [99]
99,99 equal: Goal Reached
| 4 |
[
52,
44,
4,
18
] | 13 | [
"52/4=13",
"44-18=26",
"26-13=13"
] | Current State: 13:[52, 44, 4, 18], Operations: []
Exploring Operation: 52/4=13, Resulting Numbers: [44, 18, 13]
Generated Node #2: [44, 18, 13] from Operation: 52/4=13
Current State: 13:[44, 18, 13], Operations: ['52/4=13']
Exploring Operation: 44-18=26, Resulting Numbers: [13, 26]
Generated Node #3: [13, 26] from Operation: 44-18=26
Current State: 13:[13, 26], Operations: ['52/4=13', '44-18=26']
Exploring Operation: 26-13=13, Resulting Numbers: [13]
13,13 equal: Goal Reached
| 4 |
[
40,
42,
86,
51
] | 37 | [
"42-40=2",
"86-51=35",
"2+35=37"
] | Current State: 37:[40, 42, 86, 51], Operations: []
Exploring Operation: 42-40=2, Resulting Numbers: [86, 51, 2]
Generated Node #2: [86, 51, 2] from Operation: 42-40=2
Current State: 37:[86, 51, 2], Operations: ['42-40=2']
Exploring Operation: 86-51=35, Resulting Numbers: [2, 35]
Generated Node #3: [2, 35] from Operation: 86-51=35
Current State: 37:[2, 35], Operations: ['42-40=2', '86-51=35']
Exploring Operation: 2+35=37, Resulting Numbers: [37]
37,37 equal: Goal Reached
| 4 |
[
58,
65,
78,
88
] | 36 | [
"88-58=30",
"78*30=2340",
"2340/65=36"
] | Current State: 36:[58, 65, 78, 88], Operations: []
Exploring Operation: 88-58=30, Resulting Numbers: [65, 78, 30]
Generated Node #2: [65, 78, 30] from Operation: 88-58=30
Current State: 36:[65, 78, 30], Operations: ['88-58=30']
Exploring Operation: 78*30=2340, Resulting Numbers: [65, 2340]
Generated Node #3: [65, 2340] from Operation: 78*30=2340
Current State: 36:[65, 2340], Operations: ['88-58=30', '78*30=2340']
Exploring Operation: 2340/65=36, Resulting Numbers: [36]
36,36 equal: Goal Reached
| 4 |
[
44,
10,
39,
8
] | 49 | [
"10-8=2",
"44*2=88",
"88-39=49"
] | Current State: 49:[44, 10, 39, 8], Operations: []
Exploring Operation: 10-8=2, Resulting Numbers: [44, 39, 2]
Generated Node #2: [44, 39, 2] from Operation: 10-8=2
Current State: 49:[44, 39, 2], Operations: ['10-8=2']
Exploring Operation: 44*2=88, Resulting Numbers: [39, 88]
Generated Node #3: [39, 88] from Operation: 44*2=88
Current State: 49:[39, 88], Operations: ['10-8=2', '44*2=88']
Exploring Operation: 88-39=49, Resulting Numbers: [49]
49,49 equal: Goal Reached
| 4 |
[
71,
36,
10,
27
] | 52 | [
"71-36=35",
"27-10=17",
"35+17=52"
] | Current State: 52:[71, 36, 10, 27], Operations: []
Exploring Operation: 71-36=35, Resulting Numbers: [10, 27, 35]
Generated Node #2: [10, 27, 35] from Operation: 71-36=35
Current State: 52:[10, 27, 35], Operations: ['71-36=35']
Exploring Operation: 27-10=17, Resulting Numbers: [35, 17]
Generated Node #3: [35, 17] from Operation: 27-10=17
Current State: 52:[35, 17], Operations: ['71-36=35', '27-10=17']
Exploring Operation: 35+17=52, Resulting Numbers: [52]
52,52 equal: Goal Reached
| 4 |
[
16,
29,
94,
92
] | 37 | [
"94-92=2",
"16/2=8",
"29+8=37"
] | Current State: 37:[16, 29, 94, 92], Operations: []
Exploring Operation: 94-92=2, Resulting Numbers: [16, 29, 2]
Generated Node #2: [16, 29, 2] from Operation: 94-92=2
Current State: 37:[16, 29, 2], Operations: ['94-92=2']
Exploring Operation: 16/2=8, Resulting Numbers: [29, 8]
Generated Node #3: [29, 8] from Operation: 16/2=8
Current State: 37:[29, 8], Operations: ['94-92=2', '16/2=8']
Exploring Operation: 29+8=37, Resulting Numbers: [37]
37,37 equal: Goal Reached
| 4 |
[
69,
48,
37,
44
] | 14 | [
"69-48=21",
"44-37=7",
"21-7=14"
] | Current State: 14:[69, 48, 37, 44], Operations: []
Exploring Operation: 69-48=21, Resulting Numbers: [37, 44, 21]
Generated Node #2: [37, 44, 21] from Operation: 69-48=21
Current State: 14:[37, 44, 21], Operations: ['69-48=21']
Exploring Operation: 44-37=7, Resulting Numbers: [21, 7]
Generated Node #3: [21, 7] from Operation: 44-37=7
Current State: 14:[21, 7], Operations: ['69-48=21', '44-37=7']
Exploring Operation: 21-7=14, Resulting Numbers: [14]
14,14 equal: Goal Reached
| 4 |
[
15,
58,
94,
63
] | 74 | [
"58-15=43",
"94-63=31",
"43+31=74"
] | Current State: 74:[15, 58, 94, 63], Operations: []
Exploring Operation: 58-15=43, Resulting Numbers: [94, 63, 43]
Generated Node #2: [94, 63, 43] from Operation: 58-15=43
Current State: 74:[94, 63, 43], Operations: ['58-15=43']
Exploring Operation: 94-63=31, Resulting Numbers: [43, 31]
Generated Node #3: [43, 31] from Operation: 94-63=31
Current State: 74:[43, 31], Operations: ['58-15=43', '94-63=31']
Exploring Operation: 43+31=74, Resulting Numbers: [74]
74,74 equal: Goal Reached
| 4 |
[
10,
95,
81,
92
] | 15 | [
"92-81=11",
"10*11=110",
"110-95=15"
] | Current State: 15:[10, 95, 81, 92], Operations: []
Exploring Operation: 92-81=11, Resulting Numbers: [10, 95, 11]
Generated Node #2: [10, 95, 11] from Operation: 92-81=11
Current State: 15:[10, 95, 11], Operations: ['92-81=11']
Exploring Operation: 10*11=110, Resulting Numbers: [95, 110]
Generated Node #3: [95, 110] from Operation: 10*11=110
Current State: 15:[95, 110], Operations: ['92-81=11', '10*11=110']
Exploring Operation: 110-95=15, Resulting Numbers: [15]
15,15 equal: Goal Reached
| 4 |
[
22,
3,
56,
41
] | 31 | [
"22*3=66",
"56+41=97",
"97-66=31"
] | Current State: 31:[22, 3, 56, 41], Operations: []
Exploring Operation: 22*3=66, Resulting Numbers: [56, 41, 66]
Generated Node #2: [56, 41, 66] from Operation: 22*3=66
Current State: 31:[56, 41, 66], Operations: ['22*3=66']
Exploring Operation: 56+41=97, Resulting Numbers: [66, 97]
Generated Node #3: [66, 97] from Operation: 56+41=97
Current State: 31:[66, 97], Operations: ['22*3=66', '56+41=97']
Exploring Operation: 97-66=31, Resulting Numbers: [31]
31,31 equal: Goal Reached
| 4 |
[
47,
51,
27,
17
] | 34 | [
"51*27=1377",
"1377/17=81",
"81-47=34"
] | Current State: 34:[47, 51, 27, 17], Operations: []
Exploring Operation: 51*27=1377, Resulting Numbers: [47, 17, 1377]
Generated Node #2: [47, 17, 1377] from Operation: 51*27=1377
Current State: 34:[47, 17, 1377], Operations: ['51*27=1377']
Exploring Operation: 1377/17=81, Resulting Numbers: [47, 81]
Generated Node #3: [47, 81] from Operation: 1377/17=81
Current State: 34:[47, 81], Operations: ['51*27=1377', '1377/17=81']
Exploring Operation: 81-47=34, Resulting Numbers: [34]
34,34 equal: Goal Reached
| 4 |
[
44,
24,
7,
29
] | 48 | [
"44*24=1056",
"29-7=22",
"1056/22=48"
] | Current State: 48:[44, 24, 7, 29], Operations: []
Exploring Operation: 44*24=1056, Resulting Numbers: [7, 29, 1056]
Generated Node #2: [7, 29, 1056] from Operation: 44*24=1056
Current State: 48:[7, 29, 1056], Operations: ['44*24=1056']
Exploring Operation: 29-7=22, Resulting Numbers: [1056, 22]
Generated Node #3: [1056, 22] from Operation: 29-7=22
Current State: 48:[1056, 22], Operations: ['44*24=1056', '29-7=22']
Exploring Operation: 1056/22=48, Resulting Numbers: [48]
48,48 equal: Goal Reached
| 4 |
[
12,
2,
40,
60
] | 64 | [
"12-2=10",
"40/10=4",
"60+4=64"
] | Current State: 64:[12, 2, 40, 60], Operations: []
Exploring Operation: 12-2=10, Resulting Numbers: [40, 60, 10]
Generated Node #2: [40, 60, 10] from Operation: 12-2=10
Current State: 64:[40, 60, 10], Operations: ['12-2=10']
Exploring Operation: 40/10=4, Resulting Numbers: [60, 4]
Generated Node #3: [60, 4] from Operation: 40/10=4
Current State: 64:[60, 4], Operations: ['12-2=10', '40/10=4']
Exploring Operation: 60+4=64, Resulting Numbers: [64]
64,64 equal: Goal Reached
| 4 |
[
78,
59,
10,
3
] | 87 | [
"78-59=19",
"10+19=29",
"3*29=87"
] | Current State: 87:[78, 59, 10, 3], Operations: []
Exploring Operation: 78-59=19, Resulting Numbers: [10, 3, 19]
Generated Node #2: [10, 3, 19] from Operation: 78-59=19
Current State: 87:[10, 3, 19], Operations: ['78-59=19']
Exploring Operation: 10+19=29, Resulting Numbers: [3, 29]
Generated Node #3: [3, 29] from Operation: 10+19=29
Current State: 87:[3, 29], Operations: ['78-59=19', '10+19=29']
Exploring Operation: 3*29=87, Resulting Numbers: [87]
87,87 equal: Goal Reached
| 4 |
[
54,
85,
3,
58
] | 97 | [
"58-54=4",
"3*4=12",
"85+12=97"
] | Current State: 97:[54, 85, 3, 58], Operations: []
Exploring Operation: 58-54=4, Resulting Numbers: [85, 3, 4]
Generated Node #2: [85, 3, 4] from Operation: 58-54=4
Current State: 97:[85, 3, 4], Operations: ['58-54=4']
Exploring Operation: 3*4=12, Resulting Numbers: [85, 12]
Generated Node #3: [85, 12] from Operation: 3*4=12
Current State: 97:[85, 12], Operations: ['58-54=4', '3*4=12']
Exploring Operation: 85+12=97, Resulting Numbers: [97]
97,97 equal: Goal Reached
| 4 |
[
65,
25,
61,
66
] | 34 | [
"65-61=4",
"25*4=100",
"100-66=34"
] | Current State: 34:[65, 25, 61, 66], Operations: []
Exploring Operation: 65-61=4, Resulting Numbers: [25, 66, 4]
Generated Node #2: [25, 66, 4] from Operation: 65-61=4
Current State: 34:[25, 66, 4], Operations: ['65-61=4']
Exploring Operation: 25*4=100, Resulting Numbers: [66, 100]
Generated Node #3: [66, 100] from Operation: 25*4=100
Current State: 34:[66, 100], Operations: ['65-61=4', '25*4=100']
Exploring Operation: 100-66=34, Resulting Numbers: [34]
34,34 equal: Goal Reached
| 4 |
[
68,
38,
7,
89
] | 24 | [
"68+38=106",
"89-7=82",
"106-82=24"
] | Current State: 24:[68, 38, 7, 89], Operations: []
Exploring Operation: 68+38=106, Resulting Numbers: [7, 89, 106]
Generated Node #2: [7, 89, 106] from Operation: 68+38=106
Current State: 24:[7, 89, 106], Operations: ['68+38=106']
Exploring Operation: 89-7=82, Resulting Numbers: [106, 82]
Generated Node #3: [106, 82] from Operation: 89-7=82
Current State: 24:[106, 82], Operations: ['68+38=106', '89-7=82']
Exploring Operation: 106-82=24, Resulting Numbers: [24]
24,24 equal: Goal Reached
| 4 |
[
52,
71,
98,
86
] | 31 | [
"71-52=19",
"98-86=12",
"19+12=31"
] | Current State: 31:[52, 71, 98, 86], Operations: []
Exploring Operation: 71-52=19, Resulting Numbers: [98, 86, 19]
Generated Node #2: [98, 86, 19] from Operation: 71-52=19
Current State: 31:[98, 86, 19], Operations: ['71-52=19']
Exploring Operation: 98-86=12, Resulting Numbers: [19, 12]
Generated Node #3: [19, 12] from Operation: 98-86=12
Current State: 31:[19, 12], Operations: ['71-52=19', '98-86=12']
Exploring Operation: 19+12=31, Resulting Numbers: [31]
31,31 equal: Goal Reached
| 4 |
[
77,
91,
68,
51
] | 31 | [
"91-77=14",
"68-51=17",
"14+17=31"
] | Current State: 31:[77, 91, 68, 51], Operations: []
Exploring Operation: 91-77=14, Resulting Numbers: [68, 51, 14]
Generated Node #2: [68, 51, 14] from Operation: 91-77=14
Current State: 31:[68, 51, 14], Operations: ['91-77=14']
Exploring Operation: 68-51=17, Resulting Numbers: [14, 17]
Generated Node #3: [14, 17] from Operation: 68-51=17
Current State: 31:[14, 17], Operations: ['91-77=14', '68-51=17']
Exploring Operation: 14+17=31, Resulting Numbers: [31]
31,31 equal: Goal Reached
| 4 |
[
76,
20,
56,
31
] | 30 | [
"76-20=56",
"56/56=1",
"31-1=30"
] | Current State: 30:[76, 20, 56, 31], Operations: []
Exploring Operation: 76-20=56, Resulting Numbers: [56, 31, 56]
Generated Node #2: [56, 31, 56] from Operation: 76-20=56
Current State: 30:[56, 31, 56], Operations: ['76-20=56']
Exploring Operation: 56/56=1, Resulting Numbers: [31, 1]
Generated Node #3: [31, 1] from Operation: 56/56=1
Current State: 30:[31, 1], Operations: ['76-20=56', '56/56=1']
Exploring Operation: 31-1=30, Resulting Numbers: [30]
30,30 equal: Goal Reached
| 4 |
[
5,
27,
11,
32
] | 10 | [
"5+27=32",
"32/32=1",
"11-1=10"
] | Current State: 10:[5, 27, 11, 32], Operations: []
Exploring Operation: 5+27=32, Resulting Numbers: [11, 32, 32]
Generated Node #2: [11, 32, 32] from Operation: 5+27=32
Current State: 10:[11, 32, 32], Operations: ['5+27=32']
Exploring Operation: 32/32=1, Resulting Numbers: [11, 1]
Generated Node #3: [11, 1] from Operation: 32/32=1
Current State: 10:[11, 1], Operations: ['5+27=32', '32/32=1']
Exploring Operation: 11-1=10, Resulting Numbers: [10]
10,10 equal: Goal Reached
| 4 |
[
36,
3,
97,
23
] | 86 | [
"36/3=12",
"97-23=74",
"12+74=86"
] | Current State: 86:[36, 3, 97, 23], Operations: []
Exploring Operation: 36/3=12, Resulting Numbers: [97, 23, 12]
Generated Node #2: [97, 23, 12] from Operation: 36/3=12
Current State: 86:[97, 23, 12], Operations: ['36/3=12']
Exploring Operation: 97-23=74, Resulting Numbers: [12, 74]
Generated Node #3: [12, 74] from Operation: 97-23=74
Current State: 86:[12, 74], Operations: ['36/3=12', '97-23=74']
Exploring Operation: 12+74=86, Resulting Numbers: [86]
86,86 equal: Goal Reached
| 4 |
[
13,
15,
84,
17
] | 51 | [
"13+15=28",
"84*17=1428",
"1428/28=51"
] | Current State: 51:[13, 15, 84, 17], Operations: []
Exploring Operation: 13+15=28, Resulting Numbers: [84, 17, 28]
Generated Node #2: [84, 17, 28] from Operation: 13+15=28
Current State: 51:[84, 17, 28], Operations: ['13+15=28']
Exploring Operation: 84*17=1428, Resulting Numbers: [28, 1428]
Generated Node #3: [28, 1428] from Operation: 84*17=1428
Current State: 51:[28, 1428], Operations: ['13+15=28', '84*17=1428']
Exploring Operation: 1428/28=51, Resulting Numbers: [51]
51,51 equal: Goal Reached
| 4 |
[
73,
63,
78,
15
] | 53 | [
"73-63=10",
"78-15=63",
"63-10=53"
] | Current State: 53:[73, 63, 78, 15], Operations: []
Exploring Operation: 73-63=10, Resulting Numbers: [78, 15, 10]
Generated Node #2: [78, 15, 10] from Operation: 73-63=10
Current State: 53:[78, 15, 10], Operations: ['73-63=10']
Exploring Operation: 78-15=63, Resulting Numbers: [10, 63]
Generated Node #3: [10, 63] from Operation: 78-15=63
Current State: 53:[10, 63], Operations: ['73-63=10', '78-15=63']
Exploring Operation: 63-10=53, Resulting Numbers: [53]
53,53 equal: Goal Reached
| 4 |
[
40,
64,
31,
53
] | 61 | [
"40+53=93",
"93/31=3",
"64-3=61"
] | Current State: 61:[40, 64, 31, 53], Operations: []
Exploring Operation: 40+53=93, Resulting Numbers: [64, 31, 93]
Generated Node #2: [64, 31, 93] from Operation: 40+53=93
Current State: 61:[64, 31, 93], Operations: ['40+53=93']
Exploring Operation: 93/31=3, Resulting Numbers: [64, 3]
Generated Node #3: [64, 3] from Operation: 93/31=3
Current State: 61:[64, 3], Operations: ['40+53=93', '93/31=3']
Exploring Operation: 64-3=61, Resulting Numbers: [61]
61,61 equal: Goal Reached
| 4 |
[
3,
57,
70,
22
] | 53 | [
"3*22=66",
"70-57=13",
"66-13=53"
] | Current State: 53:[3, 57, 70, 22], Operations: []
Exploring Operation: 3*22=66, Resulting Numbers: [57, 70, 66]
Generated Node #2: [57, 70, 66] from Operation: 3*22=66
Current State: 53:[57, 70, 66], Operations: ['3*22=66']
Exploring Operation: 70-57=13, Resulting Numbers: [66, 13]
Generated Node #3: [66, 13] from Operation: 70-57=13
Current State: 53:[66, 13], Operations: ['3*22=66', '70-57=13']
Exploring Operation: 66-13=53, Resulting Numbers: [53]
53,53 equal: Goal Reached
| 4 |
[
72,
16,
10,
48
] | 34 | [
"72*16=1152",
"1152/48=24",
"10+24=34"
] | Current State: 34:[72, 16, 10, 48], Operations: []
Exploring Operation: 72*16=1152, Resulting Numbers: [10, 48, 1152]
Generated Node #2: [10, 48, 1152] from Operation: 72*16=1152
Current State: 34:[10, 48, 1152], Operations: ['72*16=1152']
Exploring Operation: 1152/48=24, Resulting Numbers: [10, 24]
Generated Node #3: [10, 24] from Operation: 1152/48=24
Current State: 34:[10, 24], Operations: ['72*16=1152', '1152/48=24']
Exploring Operation: 10+24=34, Resulting Numbers: [34]
34,34 equal: Goal Reached
| 4 |
[
11,
8,
52,
48
] | 35 | [
"52-11=41",
"48/8=6",
"41-6=35"
] | Current State: 35:[11, 8, 52, 48], Operations: []
Exploring Operation: 52-11=41, Resulting Numbers: [8, 48, 41]
Generated Node #2: [8, 48, 41] from Operation: 52-11=41
Current State: 35:[8, 48, 41], Operations: ['52-11=41']
Exploring Operation: 48/8=6, Resulting Numbers: [41, 6]
Generated Node #3: [41, 6] from Operation: 48/8=6
Current State: 35:[41, 6], Operations: ['52-11=41', '48/8=6']
Exploring Operation: 41-6=35, Resulting Numbers: [35]
35,35 equal: Goal Reached
| 4 |
[
10,
21,
64,
8
] | 53 | [
"10-8=2",
"64/2=32",
"21+32=53"
] | Current State: 53:[10, 21, 64, 8], Operations: []
Exploring Operation: 10-8=2, Resulting Numbers: [21, 64, 2]
Generated Node #2: [21, 64, 2] from Operation: 10-8=2
Current State: 53:[21, 64, 2], Operations: ['10-8=2']
Exploring Operation: 64/2=32, Resulting Numbers: [21, 32]
Generated Node #3: [21, 32] from Operation: 64/2=32
Current State: 53:[21, 32], Operations: ['10-8=2', '64/2=32']
Exploring Operation: 21+32=53, Resulting Numbers: [53]
53,53 equal: Goal Reached
| 4 |
[
1,
97,
11,
17
] | 89 | [
"1+97=98",
"11*17=187",
"187-98=89"
] | Current State: 89:[1, 97, 11, 17], Operations: []
Exploring Operation: 1+97=98, Resulting Numbers: [11, 17, 98]
Generated Node #2: [11, 17, 98] from Operation: 1+97=98
Current State: 89:[11, 17, 98], Operations: ['1+97=98']
Exploring Operation: 11*17=187, Resulting Numbers: [98, 187]
Generated Node #3: [98, 187] from Operation: 11*17=187
Current State: 89:[98, 187], Operations: ['1+97=98', '11*17=187']
Exploring Operation: 187-98=89, Resulting Numbers: [89]
89,89 equal: Goal Reached
| 4 |
[
89,
63,
10,
54
] | 11 | [
"89+10=99",
"63-54=9",
"99/9=11"
] | Current State: 11:[89, 63, 10, 54], Operations: []
Exploring Operation: 89+10=99, Resulting Numbers: [63, 54, 99]
Generated Node #2: [63, 54, 99] from Operation: 89+10=99
Current State: 11:[63, 54, 99], Operations: ['89+10=99']
Exploring Operation: 63-54=9, Resulting Numbers: [99, 9]
Generated Node #3: [99, 9] from Operation: 63-54=9
Current State: 11:[99, 9], Operations: ['89+10=99', '63-54=9']
Exploring Operation: 99/9=11, Resulting Numbers: [11]
11,11 equal: Goal Reached
| 4 |
[
78,
21,
46,
2
] | 10 | [
"78-46=32",
"21*2=42",
"42-32=10"
] | Current State: 10:[78, 21, 46, 2], Operations: []
Exploring Operation: 78-46=32, Resulting Numbers: [21, 2, 32]
Generated Node #2: [21, 2, 32] from Operation: 78-46=32
Current State: 10:[21, 2, 32], Operations: ['78-46=32']
Exploring Operation: 21*2=42, Resulting Numbers: [32, 42]
Generated Node #3: [32, 42] from Operation: 21*2=42
Current State: 10:[32, 42], Operations: ['78-46=32', '21*2=42']
Exploring Operation: 42-32=10, Resulting Numbers: [10]
10,10 equal: Goal Reached
| 4 |
[
94,
10,
16,
4
] | 72 | [
"94-10=84",
"16-4=12",
"84-12=72"
] | Current State: 72:[94, 10, 16, 4], Operations: []
Exploring Operation: 94-10=84, Resulting Numbers: [16, 4, 84]
Generated Node #2: [16, 4, 84] from Operation: 94-10=84
Current State: 72:[16, 4, 84], Operations: ['94-10=84']
Exploring Operation: 16-4=12, Resulting Numbers: [84, 12]
Generated Node #3: [84, 12] from Operation: 16-4=12
Current State: 72:[84, 12], Operations: ['94-10=84', '16-4=12']
Exploring Operation: 84-12=72, Resulting Numbers: [72]
72,72 equal: Goal Reached
| 4 |
[
1,
13,
52,
31
] | 71 | [
"13-1=12",
"52+31=83",
"83-12=71"
] | Current State: 71:[1, 13, 52, 31], Operations: []
Exploring Operation: 13-1=12, Resulting Numbers: [52, 31, 12]
Generated Node #2: [52, 31, 12] from Operation: 13-1=12
Current State: 71:[52, 31, 12], Operations: ['13-1=12']
Exploring Operation: 52+31=83, Resulting Numbers: [12, 83]
Generated Node #3: [12, 83] from Operation: 52+31=83
Current State: 71:[12, 83], Operations: ['13-1=12', '52+31=83']
Exploring Operation: 83-12=71, Resulting Numbers: [71]
71,71 equal: Goal Reached
| 4 |
[
32,
51,
23,
10
] | 40 | [
"51-32=19",
"23-19=4",
"10*4=40"
] | Current State: 40:[32, 51, 23, 10], Operations: []
Exploring Operation: 51-32=19, Resulting Numbers: [23, 10, 19]
Generated Node #2: [23, 10, 19] from Operation: 51-32=19
Current State: 40:[23, 10, 19], Operations: ['51-32=19']
Exploring Operation: 23-19=4, Resulting Numbers: [10, 4]
Generated Node #3: [10, 4] from Operation: 23-19=4
Current State: 40:[10, 4], Operations: ['51-32=19', '23-19=4']
Exploring Operation: 10*4=40, Resulting Numbers: [40]
40,40 equal: Goal Reached
| 4 |
[
38,
63,
2,
27
] | 20 | [
"63-27=36",
"36/2=18",
"38-18=20"
] | Current State: 20:[38, 63, 2, 27], Operations: []
Exploring Operation: 63-27=36, Resulting Numbers: [38, 2, 36]
Generated Node #2: [38, 2, 36] from Operation: 63-27=36
Current State: 20:[38, 2, 36], Operations: ['63-27=36']
Exploring Operation: 36/2=18, Resulting Numbers: [38, 18]
Generated Node #3: [38, 18] from Operation: 36/2=18
Current State: 20:[38, 18], Operations: ['63-27=36', '36/2=18']
Exploring Operation: 38-18=20, Resulting Numbers: [20]
20,20 equal: Goal Reached
| 4 |
[
18,
52,
4,
98
] | 24 | [
"18+52=70",
"98-4=94",
"94-70=24"
] | Current State: 24:[18, 52, 4, 98], Operations: []
Exploring Operation: 18+52=70, Resulting Numbers: [4, 98, 70]
Generated Node #2: [4, 98, 70] from Operation: 18+52=70
Current State: 24:[4, 98, 70], Operations: ['18+52=70']
Exploring Operation: 98-4=94, Resulting Numbers: [70, 94]
Generated Node #3: [70, 94] from Operation: 98-4=94
Current State: 24:[70, 94], Operations: ['18+52=70', '98-4=94']
Exploring Operation: 94-70=24, Resulting Numbers: [24]
24,24 equal: Goal Reached
| 4 |
[
42,
31,
3,
30
] | 17 | [
"42+31=73",
"3*30=90",
"90-73=17"
] | Current State: 17:[42, 31, 3, 30], Operations: []
Exploring Operation: 42+31=73, Resulting Numbers: [3, 30, 73]
Generated Node #2: [3, 30, 73] from Operation: 42+31=73
Current State: 17:[3, 30, 73], Operations: ['42+31=73']
Exploring Operation: 3*30=90, Resulting Numbers: [73, 90]
Generated Node #3: [73, 90] from Operation: 3*30=90
Current State: 17:[73, 90], Operations: ['42+31=73', '3*30=90']
Exploring Operation: 90-73=17, Resulting Numbers: [17]
17,17 equal: Goal Reached
| 4 |
[
85,
23,
29,
60
] | 75 | [
"29-23=6",
"60/6=10",
"85-10=75"
] | Current State: 75:[85, 23, 29, 60], Operations: []
Exploring Operation: 29-23=6, Resulting Numbers: [85, 60, 6]
Generated Node #2: [85, 60, 6] from Operation: 29-23=6
Current State: 75:[85, 60, 6], Operations: ['29-23=6']
Exploring Operation: 60/6=10, Resulting Numbers: [85, 10]
Generated Node #3: [85, 10] from Operation: 60/6=10
Current State: 75:[85, 10], Operations: ['29-23=6', '60/6=10']
Exploring Operation: 85-10=75, Resulting Numbers: [75]
75,75 equal: Goal Reached
| 4 |
[
6,
79,
78,
83
] | 80 | [
"6+79=85",
"83-78=5",
"85-5=80"
] | Current State: 80:[6, 79, 78, 83], Operations: []
Exploring Operation: 6+79=85, Resulting Numbers: [78, 83, 85]
Generated Node #2: [78, 83, 85] from Operation: 6+79=85
Current State: 80:[78, 83, 85], Operations: ['6+79=85']
Exploring Operation: 83-78=5, Resulting Numbers: [85, 5]
Generated Node #3: [85, 5] from Operation: 83-78=5
Current State: 80:[85, 5], Operations: ['6+79=85', '83-78=5']
Exploring Operation: 85-5=80, Resulting Numbers: [80]
80,80 equal: Goal Reached
| 4 |
[
46,
9,
36,
90
] | 48 | [
"90-46=44",
"36/9=4",
"44+4=48"
] | Current State: 48:[46, 9, 36, 90], Operations: []
Exploring Operation: 90-46=44, Resulting Numbers: [9, 36, 44]
Generated Node #2: [9, 36, 44] from Operation: 90-46=44
Current State: 48:[9, 36, 44], Operations: ['90-46=44']
Exploring Operation: 36/9=4, Resulting Numbers: [44, 4]
Generated Node #3: [44, 4] from Operation: 36/9=4
Current State: 48:[44, 4], Operations: ['90-46=44', '36/9=4']
Exploring Operation: 44+4=48, Resulting Numbers: [48]
48,48 equal: Goal Reached
| 4 |
[
22,
38,
21,
2
] | 96 | [
"38+21=59",
"2*59=118",
"118-22=96"
] | Current State: 96:[22, 38, 21, 2], Operations: []
Exploring Operation: 38+21=59, Resulting Numbers: [22, 2, 59]
Generated Node #2: [22, 2, 59] from Operation: 38+21=59
Current State: 96:[22, 2, 59], Operations: ['38+21=59']
Exploring Operation: 2*59=118, Resulting Numbers: [22, 118]
Generated Node #3: [22, 118] from Operation: 2*59=118
Current State: 96:[22, 118], Operations: ['38+21=59', '2*59=118']
Exploring Operation: 118-22=96, Resulting Numbers: [96]
96,96 equal: Goal Reached
| 4 |
[
25,
92,
17,
89
] | 92 | [
"92-17=75",
"75/25=3",
"89+3=92"
] | Current State: 92:[25, 92, 17, 89], Operations: []
Exploring Operation: 92-17=75, Resulting Numbers: [25, 89, 75]
Generated Node #2: [25, 89, 75] from Operation: 92-17=75
Current State: 92:[25, 89, 75], Operations: ['92-17=75']
Exploring Operation: 75/25=3, Resulting Numbers: [89, 3]
Generated Node #3: [89, 3] from Operation: 75/25=3
Current State: 92:[89, 3], Operations: ['92-17=75', '75/25=3']
Exploring Operation: 89+3=92, Resulting Numbers: [92]
92,92 equal: Goal Reached
| 4 |
[
35,
73,
91,
3
] | 43 | [
"73-35=38",
"91+38=129",
"129/3=43"
] | Current State: 43:[35, 73, 91, 3], Operations: []
Exploring Operation: 73-35=38, Resulting Numbers: [91, 3, 38]
Generated Node #2: [91, 3, 38] from Operation: 73-35=38
Current State: 43:[91, 3, 38], Operations: ['73-35=38']
Exploring Operation: 91+38=129, Resulting Numbers: [3, 129]
Generated Node #3: [3, 129] from Operation: 91+38=129
Current State: 43:[3, 129], Operations: ['73-35=38', '91+38=129']
Exploring Operation: 129/3=43, Resulting Numbers: [43]
43,43 equal: Goal Reached
| 4 |
[
99,
67,
18,
16
] | 35 | [
"18-16=2",
"67*2=134",
"134-99=35"
] | Current State: 35:[99, 67, 18, 16], Operations: []
Exploring Operation: 18-16=2, Resulting Numbers: [99, 67, 2]
Generated Node #2: [99, 67, 2] from Operation: 18-16=2
Current State: 35:[99, 67, 2], Operations: ['18-16=2']
Exploring Operation: 67*2=134, Resulting Numbers: [99, 134]
Generated Node #3: [99, 134] from Operation: 67*2=134
Current State: 35:[99, 134], Operations: ['18-16=2', '67*2=134']
Exploring Operation: 134-99=35, Resulting Numbers: [35]
35,35 equal: Goal Reached
| 4 |
[
13,
9,
80,
62
] | 11 | [
"80-62=18",
"18/9=2",
"13-2=11"
] | Current State: 11:[13, 9, 80, 62], Operations: []
Exploring Operation: 80-62=18, Resulting Numbers: [13, 9, 18]
Generated Node #2: [13, 9, 18] from Operation: 80-62=18
Current State: 11:[13, 9, 18], Operations: ['80-62=18']
Exploring Operation: 18/9=2, Resulting Numbers: [13, 2]
Generated Node #3: [13, 2] from Operation: 18/9=2
Current State: 11:[13, 2], Operations: ['80-62=18', '18/9=2']
Exploring Operation: 13-2=11, Resulting Numbers: [11]
11,11 equal: Goal Reached
| 4 |
[
45,
59,
73,
76
] | 44 | [
"45*73=3285",
"59+3285=3344",
"3344/76=44"
] | Current State: 44:[45, 59, 73, 76], Operations: []
Exploring Operation: 45*73=3285, Resulting Numbers: [59, 76, 3285]
Generated Node #2: [59, 76, 3285] from Operation: 45*73=3285
Current State: 44:[59, 76, 3285], Operations: ['45*73=3285']
Exploring Operation: 59+3285=3344, Resulting Numbers: [76, 3344]
Generated Node #3: [76, 3344] from Operation: 59+3285=3344
Current State: 44:[76, 3344], Operations: ['45*73=3285', '59+3285=3344']
Exploring Operation: 3344/76=44, Resulting Numbers: [44]
44,44 equal: Goal Reached
| 4 |
[
2,
24,
42,
64
] | 34 | [
"24/2=12",
"64-42=22",
"12+22=34"
] | Current State: 34:[2, 24, 42, 64], Operations: []
Exploring Operation: 24/2=12, Resulting Numbers: [42, 64, 12]
Generated Node #2: [42, 64, 12] from Operation: 24/2=12
Current State: 34:[42, 64, 12], Operations: ['24/2=12']
Exploring Operation: 64-42=22, Resulting Numbers: [12, 22]
Generated Node #3: [12, 22] from Operation: 64-42=22
Current State: 34:[12, 22], Operations: ['24/2=12', '64-42=22']
Exploring Operation: 12+22=34, Resulting Numbers: [34]
34,34 equal: Goal Reached
| 4 |
[
1,
90,
8,
94
] | 28 | [
"8-1=7",
"94-90=4",
"7*4=28"
] | Current State: 28:[1, 90, 8, 94], Operations: []
Exploring Operation: 8-1=7, Resulting Numbers: [90, 94, 7]
Generated Node #2: [90, 94, 7] from Operation: 8-1=7
Current State: 28:[90, 94, 7], Operations: ['8-1=7']
Exploring Operation: 94-90=4, Resulting Numbers: [7, 4]
Generated Node #3: [7, 4] from Operation: 94-90=4
Current State: 28:[7, 4], Operations: ['8-1=7', '94-90=4']
Exploring Operation: 7*4=28, Resulting Numbers: [28]
28,28 equal: Goal Reached
| 4 |
[
31,
16,
1,
25
] | 72 | [
"31+16=47",
"1*25=25",
"47+25=72"
] | Current State: 72:[31, 16, 1, 25], Operations: []
Exploring Operation: 31+16=47, Resulting Numbers: [1, 25, 47]
Generated Node #2: [1, 25, 47] from Operation: 31+16=47
Current State: 72:[1, 25, 47], Operations: ['31+16=47']
Exploring Operation: 1*25=25, Resulting Numbers: [47, 25]
Generated Node #3: [47, 25] from Operation: 1*25=25
Current State: 72:[47, 25], Operations: ['31+16=47', '1*25=25']
Exploring Operation: 47+25=72, Resulting Numbers: [72]
72,72 equal: Goal Reached
| 4 |
[
3,
23,
28,
45
] | 28 | [
"23+28=51",
"51/3=17",
"45-17=28"
] | Current State: 28:[3, 23, 28, 45], Operations: []
Exploring Operation: 23+28=51, Resulting Numbers: [3, 45, 51]
Generated Node #2: [3, 45, 51] from Operation: 23+28=51
Current State: 28:[3, 45, 51], Operations: ['23+28=51']
Exploring Operation: 51/3=17, Resulting Numbers: [45, 17]
Generated Node #3: [45, 17] from Operation: 51/3=17
Current State: 28:[45, 17], Operations: ['23+28=51', '51/3=17']
Exploring Operation: 45-17=28, Resulting Numbers: [28]
28,28 equal: Goal Reached
| 4 |
[
96,
9,
7,
79
] | 64 | [
"96+9=105",
"105/7=15",
"79-15=64"
] | Current State: 64:[96, 9, 7, 79], Operations: []
Exploring Operation: 96+9=105, Resulting Numbers: [7, 79, 105]
Generated Node #2: [7, 79, 105] from Operation: 96+9=105
Current State: 64:[7, 79, 105], Operations: ['96+9=105']
Exploring Operation: 105/7=15, Resulting Numbers: [79, 15]
Generated Node #3: [79, 15] from Operation: 105/7=15
Current State: 64:[79, 15], Operations: ['96+9=105', '105/7=15']
Exploring Operation: 79-15=64, Resulting Numbers: [64]
64,64 equal: Goal Reached
| 4 |
[
98,
57,
18,
82
] | 91 | [
"98+57=155",
"82-18=64",
"155-64=91"
] | Current State: 91:[98, 57, 18, 82], Operations: []
Exploring Operation: 98+57=155, Resulting Numbers: [18, 82, 155]
Generated Node #2: [18, 82, 155] from Operation: 98+57=155
Current State: 91:[18, 82, 155], Operations: ['98+57=155']
Exploring Operation: 82-18=64, Resulting Numbers: [155, 64]
Generated Node #3: [155, 64] from Operation: 82-18=64
Current State: 91:[155, 64], Operations: ['98+57=155', '82-18=64']
Exploring Operation: 155-64=91, Resulting Numbers: [91]
91,91 equal: Goal Reached
| 4 |
[
24,
61,
99,
33
] | 53 | [
"24*33=792",
"792/99=8",
"61-8=53"
] | Current State: 53:[24, 61, 99, 33], Operations: []
Exploring Operation: 24*33=792, Resulting Numbers: [61, 99, 792]
Generated Node #2: [61, 99, 792] from Operation: 24*33=792
Current State: 53:[61, 99, 792], Operations: ['24*33=792']
Exploring Operation: 792/99=8, Resulting Numbers: [61, 8]
Generated Node #3: [61, 8] from Operation: 792/99=8
Current State: 53:[61, 8], Operations: ['24*33=792', '792/99=8']
Exploring Operation: 61-8=53, Resulting Numbers: [53]
53,53 equal: Goal Reached
| 4 |
[
16,
42,
39,
58
] | 39 | [
"16+42=58",
"39+58=97",
"97-58=39"
] | Current State: 39:[16, 42, 39, 58], Operations: []
Exploring Operation: 16+42=58, Resulting Numbers: [39, 58, 58]
Generated Node #2: [39, 58, 58] from Operation: 16+42=58
Current State: 39:[39, 58, 58], Operations: ['16+42=58']
Exploring Operation: 39+58=97, Resulting Numbers: [97]
97,39 equal: Goal Reached
Exploring Operation: 97-58=39, Resulting Numbers: [39]
39,39 equal: Goal Reached
| 4 |
[
8,
63,
35,
61
] | 25 | [
"8+63=71",
"35+61=96",
"96-71=25"
] | Current State: 25:[8, 63, 35, 61], Operations: []
Exploring Operation: 8+63=71, Resulting Numbers: [35, 61, 71]
Generated Node #2: [35, 61, 71] from Operation: 8+63=71
Current State: 25:[35, 61, 71], Operations: ['8+63=71']
Exploring Operation: 35+61=96, Resulting Numbers: [71, 96]
Generated Node #3: [71, 96] from Operation: 35+61=96
Current State: 25:[71, 96], Operations: ['8+63=71', '35+61=96']
Exploring Operation: 96-71=25, Resulting Numbers: [25]
25,25 equal: Goal Reached
| 4 |
[
40,
39,
86,
80
] | 45 | [
"80/40=2",
"86-39=47",
"47-2=45"
] | Current State: 45:[40, 39, 86, 80], Operations: []
Exploring Operation: 80/40=2, Resulting Numbers: [39, 86, 2]
Generated Node #2: [39, 86, 2] from Operation: 80/40=2
Current State: 45:[39, 86, 2], Operations: ['80/40=2']
Exploring Operation: 86-39=47, Resulting Numbers: [2, 47]
Generated Node #3: [2, 47] from Operation: 86-39=47
Current State: 45:[2, 47], Operations: ['80/40=2', '86-39=47']
Exploring Operation: 47-2=45, Resulting Numbers: [45]
45,45 equal: Goal Reached
| 4 |
[
14,
15,
13,
34
] | 68 | [
"15+13=28",
"28/14=2",
"34*2=68"
] | Current State: 68:[14, 15, 13, 34], Operations: []
Exploring Operation: 15+13=28, Resulting Numbers: [14, 34, 28]
Generated Node #2: [14, 34, 28] from Operation: 15+13=28
Current State: 68:[14, 34, 28], Operations: ['15+13=28']
Exploring Operation: 28/14=2, Resulting Numbers: [34, 2]
Generated Node #3: [34, 2] from Operation: 28/14=2
Current State: 68:[34, 2], Operations: ['15+13=28', '28/14=2']
Exploring Operation: 34*2=68, Resulting Numbers: [68]
68,68 equal: Goal Reached
| 4 |
[
18,
33,
30,
78
] | 31 | [
"78-18=60",
"60/30=2",
"33-2=31"
] | Current State: 31:[18, 33, 30, 78], Operations: []
Exploring Operation: 78-18=60, Resulting Numbers: [33, 30, 60]
Generated Node #2: [33, 30, 60] from Operation: 78-18=60
Current State: 31:[33, 30, 60], Operations: ['78-18=60']
Exploring Operation: 60/30=2, Resulting Numbers: [33, 2]
Generated Node #3: [33, 2] from Operation: 60/30=2
Current State: 31:[33, 2], Operations: ['78-18=60', '60/30=2']
Exploring Operation: 33-2=31, Resulting Numbers: [31]
31,31 equal: Goal Reached
| 4 |
[
62,
29,
25,
33
] | 11 | [
"62+25=87",
"29*33=957",
"957/87=11"
] | Current State: 11:[62, 29, 25, 33], Operations: []
Exploring Operation: 62+25=87, Resulting Numbers: [29, 33, 87]
Generated Node #2: [29, 33, 87] from Operation: 62+25=87
Current State: 11:[29, 33, 87], Operations: ['62+25=87']
Exploring Operation: 29*33=957, Resulting Numbers: [87, 957]
Generated Node #3: [87, 957] from Operation: 29*33=957
Current State: 11:[87, 957], Operations: ['62+25=87', '29*33=957']
Exploring Operation: 957/87=11, Resulting Numbers: [11]
11,11 equal: Goal Reached
| 4 |
[
51,
58,
23,
61
] | 91 | [
"58-51=7",
"23+61=84",
"7+84=91"
] | Current State: 91:[51, 58, 23, 61], Operations: []
Exploring Operation: 58-51=7, Resulting Numbers: [23, 61, 7]
Generated Node #2: [23, 61, 7] from Operation: 58-51=7
Current State: 91:[23, 61, 7], Operations: ['58-51=7']
Exploring Operation: 23+61=84, Resulting Numbers: [7, 84]
Generated Node #3: [7, 84] from Operation: 23+61=84
Current State: 91:[7, 84], Operations: ['58-51=7', '23+61=84']
Exploring Operation: 7+84=91, Resulting Numbers: [91]
91,91 equal: Goal Reached
| 4 |
[
16,
77,
11,
14
] | 29 | [
"14-11=3",
"16*3=48",
"77-48=29"
] | Current State: 29:[16, 77, 11, 14], Operations: []
Exploring Operation: 14-11=3, Resulting Numbers: [16, 77, 3]
Generated Node #2: [16, 77, 3] from Operation: 14-11=3
Current State: 29:[16, 77, 3], Operations: ['14-11=3']
Exploring Operation: 16*3=48, Resulting Numbers: [77, 48]
Generated Node #3: [77, 48] from Operation: 16*3=48
Current State: 29:[77, 48], Operations: ['14-11=3', '16*3=48']
Exploring Operation: 77-48=29, Resulting Numbers: [29]
29,29 equal: Goal Reached
| 4 |
[
44,
16,
64,
61
] | 13 | [
"61-44=17",
"64/16=4",
"17-4=13"
] | Current State: 13:[44, 16, 64, 61], Operations: []
Exploring Operation: 61-44=17, Resulting Numbers: [16, 64, 17]
Generated Node #2: [16, 64, 17] from Operation: 61-44=17
Current State: 13:[16, 64, 17], Operations: ['61-44=17']
Exploring Operation: 64/16=4, Resulting Numbers: [17, 4]
Generated Node #3: [17, 4] from Operation: 64/16=4
Current State: 13:[17, 4], Operations: ['61-44=17', '64/16=4']
Exploring Operation: 17-4=13, Resulting Numbers: [13]
13,13 equal: Goal Reached
| 4 |
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