nums listlengths 4 4 | target int64 10 100 | solution listlengths 3 3 | optimal_path stringlengths 282 529 | start_size int64 4 4 |
|---|---|---|---|---|
[
40,
66,
68,
48
] | 86 | [
"40+66=106",
"68-48=20",
"106-20=86"
] | Current State: 86:[40, 66, 68, 48], Operations: []
Exploring Operation: 40+66=106, Resulting Numbers: [68, 48, 106]
Generated Node #2: [68, 48, 106] from Operation: 40+66=106
Current State: 86:[68, 48, 106], Operations: ['40+66=106']
Exploring Operation: 68-48=20, Resulting Numbers: [106, 20]
Generated Node #3: [106, 20] from Operation: 68-48=20
Current State: 86:[106, 20], Operations: ['40+66=106', '68-48=20']
Exploring Operation: 106-20=86, Resulting Numbers: [86]
86,86 equal: Goal Reached
| 4 |
[
80,
62,
77,
24
] | 71 | [
"80-62=18",
"77-24=53",
"18+53=71"
] | Current State: 71:[80, 62, 77, 24], Operations: []
Exploring Operation: 80-62=18, Resulting Numbers: [77, 24, 18]
Generated Node #2: [77, 24, 18] from Operation: 80-62=18
Current State: 71:[77, 24, 18], Operations: ['80-62=18']
Exploring Operation: 77-24=53, Resulting Numbers: [18, 53]
Generated Node #3: [18, 53] from Operation: 77-24=53
Current State: 71:[18, 53], Operations: ['80-62=18', '77-24=53']
Exploring Operation: 18+53=71, Resulting Numbers: [71]
71,71 equal: Goal Reached
| 4 |
[
34,
70,
66,
72
] | 49 | [
"72-70=2",
"34/2=17",
"66-17=49"
] | Current State: 49:[34, 70, 66, 72], Operations: []
Exploring Operation: 72-70=2, Resulting Numbers: [34, 66, 2]
Generated Node #2: [34, 66, 2] from Operation: 72-70=2
Current State: 49:[34, 66, 2], Operations: ['72-70=2']
Exploring Operation: 34/2=17, Resulting Numbers: [66, 17]
Generated Node #3: [66, 17] from Operation: 34/2=17
Current State: 49:[66, 17], Operations: ['72-70=2', '34/2=17']
Exploring Operation: 66-17=49, Resulting Numbers: [49]
49,49 equal: Goal Reached
| 4 |
[
2,
56,
45,
79
] | 88 | [
"56-2=54",
"79-45=34",
"54+34=88"
] | Current State: 88:[2, 56, 45, 79], Operations: []
Exploring Operation: 56-2=54, Resulting Numbers: [45, 79, 54]
Generated Node #2: [45, 79, 54] from Operation: 56-2=54
Current State: 88:[45, 79, 54], Operations: ['56-2=54']
Exploring Operation: 79-45=34, Resulting Numbers: [54, 34]
Generated Node #3: [54, 34] from Operation: 79-45=34
Current State: 88:[54, 34], Operations: ['56-2=54', '79-45=34']
Exploring Operation: 54+34=88, Resulting Numbers: [88]
88,88 equal: Goal Reached
| 4 |
[
43,
74,
8,
24
] | 56 | [
"74-43=31",
"31-24=7",
"8*7=56"
] | Current State: 56:[43, 74, 8, 24], Operations: []
Exploring Operation: 74-43=31, Resulting Numbers: [8, 24, 31]
Generated Node #2: [8, 24, 31] from Operation: 74-43=31
Current State: 56:[8, 24, 31], Operations: ['74-43=31']
Exploring Operation: 31-24=7, Resulting Numbers: [8, 7]
Generated Node #3: [8, 7] from Operation: 31-24=7
Current State: 56:[8, 7], Operations: ['74-43=31', '31-24=7']
Exploring Operation: 8*7=56, Resulting Numbers: [56]
56,56 equal: Goal Reached
| 4 |
[
2,
4,
6,
33
] | 52 | [
"33-4=29",
"2*29=58",
"58-6=52"
] | Current State: 52:[2, 4, 6, 33], Operations: []
Exploring Operation: 33-4=29, Resulting Numbers: [2, 6, 29]
Generated Node #2: [2, 6, 29] from Operation: 33-4=29
Current State: 52:[2, 6, 29], Operations: ['33-4=29']
Exploring Operation: 2*29=58, Resulting Numbers: [6, 58]
Generated Node #3: [6, 58] from Operation: 2*29=58
Current State: 52:[6, 58], Operations: ['33-4=29', '2*29=58']
Exploring Operation: 58-6=52, Resulting Numbers: [52]
52,52 equal: Goal Reached
| 4 |
[
1,
51,
48,
52
] | 24 | [
"51-1=50",
"52-50=2",
"48/2=24"
] | Current State: 24:[1, 51, 48, 52], Operations: []
Exploring Operation: 51-1=50, Resulting Numbers: [48, 52, 50]
Generated Node #2: [48, 52, 50] from Operation: 51-1=50
Current State: 24:[48, 52, 50], Operations: ['51-1=50']
Exploring Operation: 52-50=2, Resulting Numbers: [48, 2]
Generated Node #3: [48, 2] from Operation: 52-50=2
Current State: 24:[48, 2], Operations: ['51-1=50', '52-50=2']
Exploring Operation: 48/2=24, Resulting Numbers: [24]
24,24 equal: Goal Reached
| 4 |
[
8,
71,
63,
65
] | 77 | [
"8+71=79",
"65-63=2",
"79-2=77"
] | Current State: 77:[8, 71, 63, 65], Operations: []
Exploring Operation: 8+71=79, Resulting Numbers: [63, 65, 79]
Generated Node #2: [63, 65, 79] from Operation: 8+71=79
Current State: 77:[63, 65, 79], Operations: ['8+71=79']
Exploring Operation: 65-63=2, Resulting Numbers: [79, 2]
Generated Node #3: [79, 2] from Operation: 65-63=2
Current State: 77:[79, 2], Operations: ['8+71=79', '65-63=2']
Exploring Operation: 79-2=77, Resulting Numbers: [77]
77,77 equal: Goal Reached
| 4 |
[
22,
43,
31,
43
] | 95 | [
"43-22=21",
"31+43=74",
"21+74=95"
] | Current State: 95:[22, 43, 31, 43], Operations: []
Exploring Operation: 43-22=21, Resulting Numbers: [31, 21]
Generated Node #2: [31, 21] from Operation: 43-22=21
Current State: 95:[31, 21], Operations: ['43-22=21']
Exploring Operation: 31+43=74, Resulting Numbers: [21, 74]
Generated Node #3: [21, 74] from Operation: 31+43=74
Current State: 95:[21, 74], Operations: ['43-22=21', '31+43=74']
Exploring Operation: 21+74=95, Resulting Numbers: [95]
95,95 equal: Goal Reached
| 4 |
[
65,
28,
38,
25
] | 80 | [
"65+28=93",
"38-25=13",
"93-13=80"
] | Current State: 80:[65, 28, 38, 25], Operations: []
Exploring Operation: 65+28=93, Resulting Numbers: [38, 25, 93]
Generated Node #2: [38, 25, 93] from Operation: 65+28=93
Current State: 80:[38, 25, 93], Operations: ['65+28=93']
Exploring Operation: 38-25=13, Resulting Numbers: [93, 13]
Generated Node #3: [93, 13] from Operation: 38-25=13
Current State: 80:[93, 13], Operations: ['65+28=93', '38-25=13']
Exploring Operation: 93-13=80, Resulting Numbers: [80]
80,80 equal: Goal Reached
| 4 |
[
42,
14,
89,
71
] | 10 | [
"42-14=28",
"89-71=18",
"28-18=10"
] | Current State: 10:[42, 14, 89, 71], Operations: []
Exploring Operation: 42-14=28, Resulting Numbers: [89, 71, 28]
Generated Node #2: [89, 71, 28] from Operation: 42-14=28
Current State: 10:[89, 71, 28], Operations: ['42-14=28']
Exploring Operation: 89-71=18, Resulting Numbers: [28, 18]
Generated Node #3: [28, 18] from Operation: 89-71=18
Current State: 10:[28, 18], Operations: ['42-14=28', '89-71=18']
Exploring Operation: 28-18=10, Resulting Numbers: [10]
10,10 equal: Goal Reached
| 4 |
[
42,
89,
94,
30
] | 60 | [
"89-42=47",
"94*30=2820",
"2820/47=60"
] | Current State: 60:[42, 89, 94, 30], Operations: []
Exploring Operation: 89-42=47, Resulting Numbers: [94, 30, 47]
Generated Node #2: [94, 30, 47] from Operation: 89-42=47
Current State: 60:[94, 30, 47], Operations: ['89-42=47']
Exploring Operation: 94*30=2820, Resulting Numbers: [47, 2820]
Generated Node #3: [47, 2820] from Operation: 94*30=2820
Current State: 60:[47, 2820], Operations: ['89-42=47', '94*30=2820']
Exploring Operation: 2820/47=60, Resulting Numbers: [60]
60,60 equal: Goal Reached
| 4 |
[
74,
76,
7,
19
] | 24 | [
"76-74=2",
"7+19=26",
"26-2=24"
] | Current State: 24:[74, 76, 7, 19], Operations: []
Exploring Operation: 76-74=2, Resulting Numbers: [7, 19, 2]
Generated Node #2: [7, 19, 2] from Operation: 76-74=2
Current State: 24:[7, 19, 2], Operations: ['76-74=2']
Exploring Operation: 7+19=26, Resulting Numbers: [2, 26]
Generated Node #3: [2, 26] from Operation: 7+19=26
Current State: 24:[2, 26], Operations: ['76-74=2', '7+19=26']
Exploring Operation: 26-2=24, Resulting Numbers: [24]
24,24 equal: Goal Reached
| 4 |
[
2,
33,
47,
70
] | 49 | [
"2+33=35",
"70/35=2",
"47+2=49"
] | Current State: 49:[2, 33, 47, 70], Operations: []
Exploring Operation: 2+33=35, Resulting Numbers: [47, 70, 35]
Generated Node #2: [47, 70, 35] from Operation: 2+33=35
Current State: 49:[47, 70, 35], Operations: ['2+33=35']
Exploring Operation: 70/35=2, Resulting Numbers: [47, 2]
Generated Node #3: [47, 2] from Operation: 70/35=2
Current State: 49:[47, 2], Operations: ['2+33=35', '70/35=2']
Exploring Operation: 47+2=49, Resulting Numbers: [49]
49,49 equal: Goal Reached
| 4 |
[
51,
43,
34,
87
] | 86 | [
"51+34=85",
"87-85=2",
"43*2=86"
] | Current State: 86:[51, 43, 34, 87], Operations: []
Exploring Operation: 51+34=85, Resulting Numbers: [43, 87, 85]
Generated Node #2: [43, 87, 85] from Operation: 51+34=85
Current State: 86:[43, 87, 85], Operations: ['51+34=85']
Exploring Operation: 87-85=2, Resulting Numbers: [43, 2]
Generated Node #3: [43, 2] from Operation: 87-85=2
Current State: 86:[43, 2], Operations: ['51+34=85', '87-85=2']
Exploring Operation: 43*2=86, Resulting Numbers: [86]
86,86 equal: Goal Reached
| 4 |
[
39,
14,
96,
26
] | 69 | [
"39+14=53",
"96+26=122",
"122-53=69"
] | Current State: 69:[39, 14, 96, 26], Operations: []
Exploring Operation: 39+14=53, Resulting Numbers: [96, 26, 53]
Generated Node #2: [96, 26, 53] from Operation: 39+14=53
Current State: 69:[96, 26, 53], Operations: ['39+14=53']
Exploring Operation: 96+26=122, Resulting Numbers: [53, 122]
Generated Node #3: [53, 122] from Operation: 96+26=122
Current State: 69:[53, 122], Operations: ['39+14=53', '96+26=122']
Exploring Operation: 122-53=69, Resulting Numbers: [69]
69,69 equal: Goal Reached
| 4 |
[
13,
5,
21,
97
] | 20 | [
"97-13=84",
"5*84=420",
"420/21=20"
] | Current State: 20:[13, 5, 21, 97], Operations: []
Exploring Operation: 97-13=84, Resulting Numbers: [5, 21, 84]
Generated Node #2: [5, 21, 84] from Operation: 97-13=84
Current State: 20:[5, 21, 84], Operations: ['97-13=84']
Exploring Operation: 5*84=420, Resulting Numbers: [21, 420]
Generated Node #3: [21, 420] from Operation: 5*84=420
Current State: 20:[21, 420], Operations: ['97-13=84', '5*84=420']
Exploring Operation: 420/21=20, Resulting Numbers: [20]
20,20 equal: Goal Reached
| 4 |
[
99,
58,
19,
52
] | 15 | [
"58-52=6",
"19*6=114",
"114-99=15"
] | Current State: 15:[99, 58, 19, 52], Operations: []
Exploring Operation: 58-52=6, Resulting Numbers: [99, 19, 6]
Generated Node #2: [99, 19, 6] from Operation: 58-52=6
Current State: 15:[99, 19, 6], Operations: ['58-52=6']
Exploring Operation: 19*6=114, Resulting Numbers: [99, 114]
Generated Node #3: [99, 114] from Operation: 19*6=114
Current State: 15:[99, 114], Operations: ['58-52=6', '19*6=114']
Exploring Operation: 114-99=15, Resulting Numbers: [15]
15,15 equal: Goal Reached
| 4 |
[
22,
2,
6,
46
] | 65 | [
"22+46=68",
"6/2=3",
"68-3=65"
] | Current State: 65:[22, 2, 6, 46], Operations: []
Exploring Operation: 22+46=68, Resulting Numbers: [2, 6, 68]
Generated Node #2: [2, 6, 68] from Operation: 22+46=68
Current State: 65:[2, 6, 68], Operations: ['22+46=68']
Exploring Operation: 6/2=3, Resulting Numbers: [68, 3]
Generated Node #3: [68, 3] from Operation: 6/2=3
Current State: 65:[68, 3], Operations: ['22+46=68', '6/2=3']
Exploring Operation: 68-3=65, Resulting Numbers: [65]
65,65 equal: Goal Reached
| 4 |
[
8,
45,
10,
15
] | 97 | [
"8+45=53",
"10*15=150",
"150-53=97"
] | Current State: 97:[8, 45, 10, 15], Operations: []
Exploring Operation: 8+45=53, Resulting Numbers: [10, 15, 53]
Generated Node #2: [10, 15, 53] from Operation: 8+45=53
Current State: 97:[10, 15, 53], Operations: ['8+45=53']
Exploring Operation: 10*15=150, Resulting Numbers: [53, 150]
Generated Node #3: [53, 150] from Operation: 10*15=150
Current State: 97:[53, 150], Operations: ['8+45=53', '10*15=150']
Exploring Operation: 150-53=97, Resulting Numbers: [97]
97,97 equal: Goal Reached
| 4 |
[
39,
61,
22,
11
] | 17 | [
"39*22=858",
"858/11=78",
"78-61=17"
] | Current State: 17:[39, 61, 22, 11], Operations: []
Exploring Operation: 39*22=858, Resulting Numbers: [61, 11, 858]
Generated Node #2: [61, 11, 858] from Operation: 39*22=858
Current State: 17:[61, 11, 858], Operations: ['39*22=858']
Exploring Operation: 858/11=78, Resulting Numbers: [61, 78]
Generated Node #3: [61, 78] from Operation: 858/11=78
Current State: 17:[61, 78], Operations: ['39*22=858', '858/11=78']
Exploring Operation: 78-61=17, Resulting Numbers: [17]
17,17 equal: Goal Reached
| 4 |
[
95,
14,
91,
3
] | 53 | [
"95-91=4",
"14*4=56",
"56-3=53"
] | Current State: 53:[95, 14, 91, 3], Operations: []
Exploring Operation: 95-91=4, Resulting Numbers: [14, 3, 4]
Generated Node #2: [14, 3, 4] from Operation: 95-91=4
Current State: 53:[14, 3, 4], Operations: ['95-91=4']
Exploring Operation: 14*4=56, Resulting Numbers: [3, 56]
Generated Node #3: [3, 56] from Operation: 14*4=56
Current State: 53:[3, 56], Operations: ['95-91=4', '14*4=56']
Exploring Operation: 56-3=53, Resulting Numbers: [53]
53,53 equal: Goal Reached
| 4 |
[
72,
86,
57,
13
] | 43 | [
"72-57=15",
"15-13=2",
"86/2=43"
] | Current State: 43:[72, 86, 57, 13], Operations: []
Exploring Operation: 72-57=15, Resulting Numbers: [86, 13, 15]
Generated Node #2: [86, 13, 15] from Operation: 72-57=15
Current State: 43:[86, 13, 15], Operations: ['72-57=15']
Exploring Operation: 15-13=2, Resulting Numbers: [86, 2]
Generated Node #3: [86, 2] from Operation: 15-13=2
Current State: 43:[86, 2], Operations: ['72-57=15', '15-13=2']
Exploring Operation: 86/2=43, Resulting Numbers: [43]
43,43 equal: Goal Reached
| 4 |
[
57,
52,
74,
99
] | 77 | [
"57+99=156",
"156/52=3",
"74+3=77"
] | Current State: 77:[57, 52, 74, 99], Operations: []
Exploring Operation: 57+99=156, Resulting Numbers: [52, 74, 156]
Generated Node #2: [52, 74, 156] from Operation: 57+99=156
Current State: 77:[52, 74, 156], Operations: ['57+99=156']
Exploring Operation: 156/52=3, Resulting Numbers: [74, 3]
Generated Node #3: [74, 3] from Operation: 156/52=3
Current State: 77:[74, 3], Operations: ['57+99=156', '156/52=3']
Exploring Operation: 74+3=77, Resulting Numbers: [77]
77,77 equal: Goal Reached
| 4 |
[
52,
82,
65,
56
] | 63 | [
"82-56=26",
"52/26=2",
"65-2=63"
] | Current State: 63:[52, 82, 65, 56], Operations: []
Exploring Operation: 82-56=26, Resulting Numbers: [52, 65, 26]
Generated Node #2: [52, 65, 26] from Operation: 82-56=26
Current State: 63:[52, 65, 26], Operations: ['82-56=26']
Exploring Operation: 52/26=2, Resulting Numbers: [65, 2]
Generated Node #3: [65, 2] from Operation: 52/26=2
Current State: 63:[65, 2], Operations: ['82-56=26', '52/26=2']
Exploring Operation: 65-2=63, Resulting Numbers: [63]
63,63 equal: Goal Reached
| 4 |
[
36,
64,
4,
93
] | 91 | [
"36-4=32",
"64/32=2",
"93-2=91"
] | Current State: 91:[36, 64, 4, 93], Operations: []
Exploring Operation: 36-4=32, Resulting Numbers: [64, 93, 32]
Generated Node #2: [64, 93, 32] from Operation: 36-4=32
Current State: 91:[64, 93, 32], Operations: ['36-4=32']
Exploring Operation: 64/32=2, Resulting Numbers: [93, 2]
Generated Node #3: [93, 2] from Operation: 64/32=2
Current State: 91:[93, 2], Operations: ['36-4=32', '64/32=2']
Exploring Operation: 93-2=91, Resulting Numbers: [91]
91,91 equal: Goal Reached
| 4 |
[
79,
46,
54,
5
] | 16 | [
"79-46=33",
"54-5=49",
"49-33=16"
] | Current State: 16:[79, 46, 54, 5], Operations: []
Exploring Operation: 79-46=33, Resulting Numbers: [54, 5, 33]
Generated Node #2: [54, 5, 33] from Operation: 79-46=33
Current State: 16:[54, 5, 33], Operations: ['79-46=33']
Exploring Operation: 54-5=49, Resulting Numbers: [33, 49]
Generated Node #3: [33, 49] from Operation: 54-5=49
Current State: 16:[33, 49], Operations: ['79-46=33', '54-5=49']
Exploring Operation: 49-33=16, Resulting Numbers: [16]
16,16 equal: Goal Reached
| 4 |
[
29,
91,
40,
68
] | 46 | [
"91-29=62",
"40+68=108",
"108-62=46"
] | Current State: 46:[29, 91, 40, 68], Operations: []
Exploring Operation: 91-29=62, Resulting Numbers: [40, 68, 62]
Generated Node #2: [40, 68, 62] from Operation: 91-29=62
Current State: 46:[40, 68, 62], Operations: ['91-29=62']
Exploring Operation: 40+68=108, Resulting Numbers: [62, 108]
Generated Node #3: [62, 108] from Operation: 40+68=108
Current State: 46:[62, 108], Operations: ['91-29=62', '40+68=108']
Exploring Operation: 108-62=46, Resulting Numbers: [46]
46,46 equal: Goal Reached
| 4 |
[
42,
79,
67,
73
] | 21 | [
"42*73=3066",
"79+67=146",
"3066/146=21"
] | Current State: 21:[42, 79, 67, 73], Operations: []
Exploring Operation: 42*73=3066, Resulting Numbers: [79, 67, 3066]
Generated Node #2: [79, 67, 3066] from Operation: 42*73=3066
Current State: 21:[79, 67, 3066], Operations: ['42*73=3066']
Exploring Operation: 79+67=146, Resulting Numbers: [3066, 146]
Generated Node #3: [3066, 146] from Operation: 79+67=146
Current State: 21:[3066, 146], Operations: ['42*73=3066', '79+67=146']
Exploring Operation: 3066/146=21, Resulting Numbers: [21]
21,21 equal: Goal Reached
| 4 |
[
31,
28,
21,
73
] | 10 | [
"31-28=3",
"21*3=63",
"73-63=10"
] | Current State: 10:[31, 28, 21, 73], Operations: []
Exploring Operation: 31-28=3, Resulting Numbers: [21, 73, 3]
Generated Node #2: [21, 73, 3] from Operation: 31-28=3
Current State: 10:[21, 73, 3], Operations: ['31-28=3']
Exploring Operation: 21*3=63, Resulting Numbers: [73, 63]
Generated Node #3: [73, 63] from Operation: 21*3=63
Current State: 10:[73, 63], Operations: ['31-28=3', '21*3=63']
Exploring Operation: 73-63=10, Resulting Numbers: [10]
10,10 equal: Goal Reached
| 4 |
[
29,
53,
88,
73
] | 79 | [
"29+53=82",
"88+73=161",
"161-82=79"
] | Current State: 79:[29, 53, 88, 73], Operations: []
Exploring Operation: 29+53=82, Resulting Numbers: [88, 73, 82]
Generated Node #2: [88, 73, 82] from Operation: 29+53=82
Current State: 79:[88, 73, 82], Operations: ['29+53=82']
Exploring Operation: 88+73=161, Resulting Numbers: [82, 161]
Generated Node #3: [82, 161] from Operation: 88+73=161
Current State: 79:[82, 161], Operations: ['29+53=82', '88+73=161']
Exploring Operation: 161-82=79, Resulting Numbers: [79]
79,79 equal: Goal Reached
| 4 |
[
51,
22,
26,
52
] | 80 | [
"51*52=2652",
"2652/26=102",
"102-22=80"
] | Current State: 80:[51, 22, 26, 52], Operations: []
Exploring Operation: 51*52=2652, Resulting Numbers: [22, 26, 2652]
Generated Node #2: [22, 26, 2652] from Operation: 51*52=2652
Current State: 80:[22, 26, 2652], Operations: ['51*52=2652']
Exploring Operation: 2652/26=102, Resulting Numbers: [22, 102]
Generated Node #3: [22, 102] from Operation: 2652/26=102
Current State: 80:[22, 102], Operations: ['51*52=2652', '2652/26=102']
Exploring Operation: 102-22=80, Resulting Numbers: [80]
80,80 equal: Goal Reached
| 4 |
[
9,
72,
81,
18
] | 73 | [
"18-9=9",
"72/9=8",
"81-8=73"
] | Current State: 73:[9, 72, 81, 18], Operations: []
Exploring Operation: 18-9=9, Resulting Numbers: [72, 81, 9]
Generated Node #2: [72, 81, 9] from Operation: 18-9=9
Current State: 73:[72, 81, 9], Operations: ['18-9=9']
Exploring Operation: 72/9=8, Resulting Numbers: [81, 8]
Generated Node #3: [81, 8] from Operation: 72/9=8
Current State: 73:[81, 8], Operations: ['18-9=9', '72/9=8']
Exploring Operation: 81-8=73, Resulting Numbers: [73]
73,73 equal: Goal Reached
| 4 |
[
34,
50,
9,
99
] | 97 | [
"34-9=25",
"50/25=2",
"99-2=97"
] | Current State: 97:[34, 50, 9, 99], Operations: []
Exploring Operation: 34-9=25, Resulting Numbers: [50, 99, 25]
Generated Node #2: [50, 99, 25] from Operation: 34-9=25
Current State: 97:[50, 99, 25], Operations: ['34-9=25']
Exploring Operation: 50/25=2, Resulting Numbers: [99, 2]
Generated Node #3: [99, 2] from Operation: 50/25=2
Current State: 97:[99, 2], Operations: ['34-9=25', '50/25=2']
Exploring Operation: 99-2=97, Resulting Numbers: [97]
97,97 equal: Goal Reached
| 4 |
[
74,
80,
93,
32
] | 99 | [
"80-74=6",
"32*6=192",
"192-93=99"
] | Current State: 99:[74, 80, 93, 32], Operations: []
Exploring Operation: 80-74=6, Resulting Numbers: [93, 32, 6]
Generated Node #2: [93, 32, 6] from Operation: 80-74=6
Current State: 99:[93, 32, 6], Operations: ['80-74=6']
Exploring Operation: 32*6=192, Resulting Numbers: [93, 192]
Generated Node #3: [93, 192] from Operation: 32*6=192
Current State: 99:[93, 192], Operations: ['80-74=6', '32*6=192']
Exploring Operation: 192-93=99, Resulting Numbers: [99]
99,99 equal: Goal Reached
| 4 |
[
32,
19,
39,
31
] | 59 | [
"32+19=51",
"39-31=8",
"51+8=59"
] | Current State: 59:[32, 19, 39, 31], Operations: []
Exploring Operation: 32+19=51, Resulting Numbers: [39, 31, 51]
Generated Node #2: [39, 31, 51] from Operation: 32+19=51
Current State: 59:[39, 31, 51], Operations: ['32+19=51']
Exploring Operation: 39-31=8, Resulting Numbers: [51, 8]
Generated Node #3: [51, 8] from Operation: 39-31=8
Current State: 59:[51, 8], Operations: ['32+19=51', '39-31=8']
Exploring Operation: 51+8=59, Resulting Numbers: [59]
59,59 equal: Goal Reached
| 4 |
[
69,
36,
9,
9
] | 64 | [
"69-9=60",
"36/9=4",
"60+4=64"
] | Current State: 64:[69, 36, 9, 9], Operations: []
Exploring Operation: 69-9=60, Resulting Numbers: [36, 60]
Generated Node #2: [36, 60] from Operation: 69-9=60
Current State: 64:[36, 60], Operations: ['69-9=60']
Exploring Operation: 36/9=4, Resulting Numbers: [60, 4]
Generated Node #3: [60, 4] from Operation: 36/9=4
Current State: 64:[60, 4], Operations: ['69-9=60', '36/9=4']
Exploring Operation: 60+4=64, Resulting Numbers: [64]
64,64 equal: Goal Reached
| 4 |
[
21,
30,
39,
15
] | 90 | [
"39-21=18",
"18-15=3",
"30*3=90"
] | Current State: 90:[21, 30, 39, 15], Operations: []
Exploring Operation: 39-21=18, Resulting Numbers: [30, 15, 18]
Generated Node #2: [30, 15, 18] from Operation: 39-21=18
Current State: 90:[30, 15, 18], Operations: ['39-21=18']
Exploring Operation: 18-15=3, Resulting Numbers: [30, 3]
Generated Node #3: [30, 3] from Operation: 18-15=3
Current State: 90:[30, 3], Operations: ['39-21=18', '18-15=3']
Exploring Operation: 30*3=90, Resulting Numbers: [90]
90,90 equal: Goal Reached
| 4 |
[
49,
77,
19,
26
] | 81 | [
"49+77=126",
"19+26=45",
"126-45=81"
] | Current State: 81:[49, 77, 19, 26], Operations: []
Exploring Operation: 49+77=126, Resulting Numbers: [19, 26, 126]
Generated Node #2: [19, 26, 126] from Operation: 49+77=126
Current State: 81:[19, 26, 126], Operations: ['49+77=126']
Exploring Operation: 19+26=45, Resulting Numbers: [126, 45]
Generated Node #3: [126, 45] from Operation: 19+26=45
Current State: 81:[126, 45], Operations: ['49+77=126', '19+26=45']
Exploring Operation: 126-45=81, Resulting Numbers: [81]
81,81 equal: Goal Reached
| 4 |
[
31,
13,
16,
19
] | 36 | [
"31*19=589",
"589-13=576",
"576/16=36"
] | Current State: 36:[31, 13, 16, 19], Operations: []
Exploring Operation: 31*19=589, Resulting Numbers: [13, 16, 589]
Generated Node #2: [13, 16, 589] from Operation: 31*19=589
Current State: 36:[13, 16, 589], Operations: ['31*19=589']
Exploring Operation: 589-13=576, Resulting Numbers: [16, 576]
Generated Node #3: [16, 576] from Operation: 589-13=576
Current State: 36:[16, 576], Operations: ['31*19=589', '589-13=576']
Exploring Operation: 576/16=36, Resulting Numbers: [36]
36,36 equal: Goal Reached
| 4 |
[
7,
14,
83,
58
] | 23 | [
"14/7=2",
"83-58=25",
"25-2=23"
] | Current State: 23:[7, 14, 83, 58], Operations: []
Exploring Operation: 14/7=2, Resulting Numbers: [83, 58, 2]
Generated Node #2: [83, 58, 2] from Operation: 14/7=2
Current State: 23:[83, 58, 2], Operations: ['14/7=2']
Exploring Operation: 83-58=25, Resulting Numbers: [2, 25]
Generated Node #3: [2, 25] from Operation: 83-58=25
Current State: 23:[2, 25], Operations: ['14/7=2', '83-58=25']
Exploring Operation: 25-2=23, Resulting Numbers: [23]
23,23 equal: Goal Reached
| 4 |
[
9,
12,
49,
21
] | 19 | [
"12*49=588",
"588/21=28",
"28-9=19"
] | Current State: 19:[9, 12, 49, 21], Operations: []
Exploring Operation: 12*49=588, Resulting Numbers: [9, 21, 588]
Generated Node #2: [9, 21, 588] from Operation: 12*49=588
Current State: 19:[9, 21, 588], Operations: ['12*49=588']
Exploring Operation: 588/21=28, Resulting Numbers: [9, 28]
Generated Node #3: [9, 28] from Operation: 588/21=28
Current State: 19:[9, 28], Operations: ['12*49=588', '588/21=28']
Exploring Operation: 28-9=19, Resulting Numbers: [19]
19,19 equal: Goal Reached
| 4 |
[
60,
63,
94,
42
] | 98 | [
"63*94=5922",
"5922-42=5880",
"5880/60=98"
] | Current State: 98:[60, 63, 94, 42], Operations: []
Exploring Operation: 63*94=5922, Resulting Numbers: [60, 42, 5922]
Generated Node #2: [60, 42, 5922] from Operation: 63*94=5922
Current State: 98:[60, 42, 5922], Operations: ['63*94=5922']
Exploring Operation: 5922-42=5880, Resulting Numbers: [60, 5880]
Generated Node #3: [60, 5880] from Operation: 5922-42=5880
Current State: 98:[60, 5880], Operations: ['63*94=5922', '5922-42=5880']
Exploring Operation: 5880/60=98, Resulting Numbers: [98]
98,98 equal: Goal Reached
| 4 |
[
24,
49,
52,
53
] | 37 | [
"53-49=4",
"52/4=13",
"24+13=37"
] | Current State: 37:[24, 49, 52, 53], Operations: []
Exploring Operation: 53-49=4, Resulting Numbers: [24, 52, 4]
Generated Node #2: [24, 52, 4] from Operation: 53-49=4
Current State: 37:[24, 52, 4], Operations: ['53-49=4']
Exploring Operation: 52/4=13, Resulting Numbers: [24, 13]
Generated Node #3: [24, 13] from Operation: 52/4=13
Current State: 37:[24, 13], Operations: ['53-49=4', '52/4=13']
Exploring Operation: 24+13=37, Resulting Numbers: [37]
37,37 equal: Goal Reached
| 4 |
[
17,
61,
98,
97
] | 79 | [
"17+61=78",
"98-97=1",
"78+1=79"
] | Current State: 79:[17, 61, 98, 97], Operations: []
Exploring Operation: 17+61=78, Resulting Numbers: [98, 97, 78]
Generated Node #2: [98, 97, 78] from Operation: 17+61=78
Current State: 79:[98, 97, 78], Operations: ['17+61=78']
Exploring Operation: 98-97=1, Resulting Numbers: [78, 1]
Generated Node #3: [78, 1] from Operation: 98-97=1
Current State: 79:[78, 1], Operations: ['17+61=78', '98-97=1']
Exploring Operation: 78+1=79, Resulting Numbers: [79]
79,79 equal: Goal Reached
| 4 |
[
70,
8,
55,
16
] | 17 | [
"70-55=15",
"16/8=2",
"15+2=17"
] | Current State: 17:[70, 8, 55, 16], Operations: []
Exploring Operation: 70-55=15, Resulting Numbers: [8, 16, 15]
Generated Node #2: [8, 16, 15] from Operation: 70-55=15
Current State: 17:[8, 16, 15], Operations: ['70-55=15']
Exploring Operation: 16/8=2, Resulting Numbers: [15, 2]
Generated Node #3: [15, 2] from Operation: 16/8=2
Current State: 17:[15, 2], Operations: ['70-55=15', '16/8=2']
Exploring Operation: 15+2=17, Resulting Numbers: [17]
17,17 equal: Goal Reached
| 4 |
[
60,
66,
5,
44
] | 33 | [
"66-60=6",
"44-5=39",
"39-6=33"
] | Current State: 33:[60, 66, 5, 44], Operations: []
Exploring Operation: 66-60=6, Resulting Numbers: [5, 44, 6]
Generated Node #2: [5, 44, 6] from Operation: 66-60=6
Current State: 33:[5, 44, 6], Operations: ['66-60=6']
Exploring Operation: 44-5=39, Resulting Numbers: [6, 39]
Generated Node #3: [6, 39] from Operation: 44-5=39
Current State: 33:[6, 39], Operations: ['66-60=6', '44-5=39']
Exploring Operation: 39-6=33, Resulting Numbers: [33]
33,33 equal: Goal Reached
| 4 |
[
31,
59,
8,
37
] | 45 | [
"31+59=90",
"8+37=45",
"90-45=45"
] | Current State: 45:[31, 59, 8, 37], Operations: []
Exploring Operation: 31+59=90, Resulting Numbers: [8, 37, 90]
Generated Node #2: [8, 37, 90] from Operation: 31+59=90
Current State: 45:[8, 37, 90], Operations: ['31+59=90']
Exploring Operation: 8+37=45, Resulting Numbers: [90, 45]
Generated Node #3: [90, 45] from Operation: 8+37=45
Current State: 45:[90, 45], Operations: ['31+59=90', '8+37=45']
Exploring Operation: 90-45=45, Resulting Numbers: [45]
45,45 equal: Goal Reached
| 4 |
[
17,
82,
11,
21
] | 67 | [
"17+82=99",
"11+21=32",
"99-32=67"
] | Current State: 67:[17, 82, 11, 21], Operations: []
Exploring Operation: 17+82=99, Resulting Numbers: [11, 21, 99]
Generated Node #2: [11, 21, 99] from Operation: 17+82=99
Current State: 67:[11, 21, 99], Operations: ['17+82=99']
Exploring Operation: 11+21=32, Resulting Numbers: [99, 32]
Generated Node #3: [99, 32] from Operation: 11+21=32
Current State: 67:[99, 32], Operations: ['17+82=99', '11+21=32']
Exploring Operation: 99-32=67, Resulting Numbers: [67]
67,67 equal: Goal Reached
| 4 |
[
34,
76,
6,
51
] | 26 | [
"51-34=17",
"6*17=102",
"102-76=26"
] | Current State: 26:[34, 76, 6, 51], Operations: []
Exploring Operation: 51-34=17, Resulting Numbers: [76, 6, 17]
Generated Node #2: [76, 6, 17] from Operation: 51-34=17
Current State: 26:[76, 6, 17], Operations: ['51-34=17']
Exploring Operation: 6*17=102, Resulting Numbers: [76, 102]
Generated Node #3: [76, 102] from Operation: 6*17=102
Current State: 26:[76, 102], Operations: ['51-34=17', '6*17=102']
Exploring Operation: 102-76=26, Resulting Numbers: [26]
26,26 equal: Goal Reached
| 4 |
[
37,
8,
22,
10
] | 12 | [
"37-22=15",
"8*15=120",
"120/10=12"
] | Current State: 12:[37, 8, 22, 10], Operations: []
Exploring Operation: 37-22=15, Resulting Numbers: [8, 10, 15]
Generated Node #2: [8, 10, 15] from Operation: 37-22=15
Current State: 12:[8, 10, 15], Operations: ['37-22=15']
Exploring Operation: 8*15=120, Resulting Numbers: [10, 120]
Generated Node #3: [10, 120] from Operation: 8*15=120
Current State: 12:[10, 120], Operations: ['37-22=15', '8*15=120']
Exploring Operation: 120/10=12, Resulting Numbers: [12]
12,12 equal: Goal Reached
| 4 |
[
26,
8,
33,
65
] | 50 | [
"26-8=18",
"65-33=32",
"18+32=50"
] | Current State: 50:[26, 8, 33, 65], Operations: []
Exploring Operation: 26-8=18, Resulting Numbers: [33, 65, 18]
Generated Node #2: [33, 65, 18] from Operation: 26-8=18
Current State: 50:[33, 65, 18], Operations: ['26-8=18']
Exploring Operation: 65-33=32, Resulting Numbers: [18, 32]
Generated Node #3: [18, 32] from Operation: 65-33=32
Current State: 50:[18, 32], Operations: ['26-8=18', '65-33=32']
Exploring Operation: 18+32=50, Resulting Numbers: [50]
50,50 equal: Goal Reached
| 4 |
[
77,
4,
13,
22
] | 24 | [
"77-13=64",
"4*22=88",
"88-64=24"
] | Current State: 24:[77, 4, 13, 22], Operations: []
Exploring Operation: 77-13=64, Resulting Numbers: [4, 22, 64]
Generated Node #2: [4, 22, 64] from Operation: 77-13=64
Current State: 24:[4, 22, 64], Operations: ['77-13=64']
Exploring Operation: 4*22=88, Resulting Numbers: [64, 88]
Generated Node #3: [64, 88] from Operation: 4*22=88
Current State: 24:[64, 88], Operations: ['77-13=64', '4*22=88']
Exploring Operation: 88-64=24, Resulting Numbers: [24]
24,24 equal: Goal Reached
| 4 |
[
38,
40,
58,
42
] | 84 | [
"58-38=20",
"40*42=1680",
"1680/20=84"
] | Current State: 84:[38, 40, 58, 42], Operations: []
Exploring Operation: 58-38=20, Resulting Numbers: [40, 42, 20]
Generated Node #2: [40, 42, 20] from Operation: 58-38=20
Current State: 84:[40, 42, 20], Operations: ['58-38=20']
Exploring Operation: 40*42=1680, Resulting Numbers: [20, 1680]
Generated Node #3: [20, 1680] from Operation: 40*42=1680
Current State: 84:[20, 1680], Operations: ['58-38=20', '40*42=1680']
Exploring Operation: 1680/20=84, Resulting Numbers: [84]
84,84 equal: Goal Reached
| 4 |
[
4,
5,
49,
66
] | 43 | [
"4*66=264",
"264-49=215",
"215/5=43"
] | Current State: 43:[4, 5, 49, 66], Operations: []
Exploring Operation: 4*66=264, Resulting Numbers: [5, 49, 264]
Generated Node #2: [5, 49, 264] from Operation: 4*66=264
Current State: 43:[5, 49, 264], Operations: ['4*66=264']
Exploring Operation: 264-49=215, Resulting Numbers: [5, 215]
Generated Node #3: [5, 215] from Operation: 264-49=215
Current State: 43:[5, 215], Operations: ['4*66=264', '264-49=215']
Exploring Operation: 215/5=43, Resulting Numbers: [43]
43,43 equal: Goal Reached
| 4 |
[
26,
36,
99,
3
] | 61 | [
"99-26=73",
"36/3=12",
"73-12=61"
] | Current State: 61:[26, 36, 99, 3], Operations: []
Exploring Operation: 99-26=73, Resulting Numbers: [36, 3, 73]
Generated Node #2: [36, 3, 73] from Operation: 99-26=73
Current State: 61:[36, 3, 73], Operations: ['99-26=73']
Exploring Operation: 36/3=12, Resulting Numbers: [73, 12]
Generated Node #3: [73, 12] from Operation: 36/3=12
Current State: 61:[73, 12], Operations: ['99-26=73', '36/3=12']
Exploring Operation: 73-12=61, Resulting Numbers: [61]
61,61 equal: Goal Reached
| 4 |
[
45,
52,
26,
89
] | 18 | [
"45+52=97",
"26+89=115",
"115-97=18"
] | Current State: 18:[45, 52, 26, 89], Operations: []
Exploring Operation: 45+52=97, Resulting Numbers: [26, 89, 97]
Generated Node #2: [26, 89, 97] from Operation: 45+52=97
Current State: 18:[26, 89, 97], Operations: ['45+52=97']
Exploring Operation: 26+89=115, Resulting Numbers: [97, 115]
Generated Node #3: [97, 115] from Operation: 26+89=115
Current State: 18:[97, 115], Operations: ['45+52=97', '26+89=115']
Exploring Operation: 115-97=18, Resulting Numbers: [18]
18,18 equal: Goal Reached
| 4 |
[
67,
14,
69,
64
] | 52 | [
"67+14=81",
"69+64=133",
"133-81=52"
] | Current State: 52:[67, 14, 69, 64], Operations: []
Exploring Operation: 67+14=81, Resulting Numbers: [69, 64, 81]
Generated Node #2: [69, 64, 81] from Operation: 67+14=81
Current State: 52:[69, 64, 81], Operations: ['67+14=81']
Exploring Operation: 69+64=133, Resulting Numbers: [81, 133]
Generated Node #3: [81, 133] from Operation: 69+64=133
Current State: 52:[81, 133], Operations: ['67+14=81', '69+64=133']
Exploring Operation: 133-81=52, Resulting Numbers: [52]
52,52 equal: Goal Reached
| 4 |
[
88,
2,
74,
40
] | 61 | [
"88+74=162",
"162-40=122",
"122/2=61"
] | Current State: 61:[88, 2, 74, 40], Operations: []
Exploring Operation: 88+74=162, Resulting Numbers: [2, 40, 162]
Generated Node #2: [2, 40, 162] from Operation: 88+74=162
Current State: 61:[2, 40, 162], Operations: ['88+74=162']
Exploring Operation: 162-40=122, Resulting Numbers: [2, 122]
Generated Node #3: [2, 122] from Operation: 162-40=122
Current State: 61:[2, 122], Operations: ['88+74=162', '162-40=122']
Exploring Operation: 122/2=61, Resulting Numbers: [61]
61,61 equal: Goal Reached
| 4 |
[
9,
33,
9,
65
] | 98 | [
"9+33=42",
"65-9=56",
"42+56=98"
] | Current State: 98:[9, 33, 9, 65], Operations: []
Exploring Operation: 9+33=42, Resulting Numbers: [65, 42]
Generated Node #2: [65, 42] from Operation: 9+33=42
Current State: 98:[65, 42], Operations: ['9+33=42']
Exploring Operation: 65-9=56, Resulting Numbers: [42, 56]
Generated Node #3: [42, 56] from Operation: 65-9=56
Current State: 98:[42, 56], Operations: ['9+33=42', '65-9=56']
Exploring Operation: 42+56=98, Resulting Numbers: [98]
98,98 equal: Goal Reached
| 4 |
[
70,
85,
77,
73
] | 19 | [
"85-70=15",
"77-73=4",
"15+4=19"
] | Current State: 19:[70, 85, 77, 73], Operations: []
Exploring Operation: 85-70=15, Resulting Numbers: [77, 73, 15]
Generated Node #2: [77, 73, 15] from Operation: 85-70=15
Current State: 19:[77, 73, 15], Operations: ['85-70=15']
Exploring Operation: 77-73=4, Resulting Numbers: [15, 4]
Generated Node #3: [15, 4] from Operation: 77-73=4
Current State: 19:[15, 4], Operations: ['85-70=15', '77-73=4']
Exploring Operation: 15+4=19, Resulting Numbers: [19]
19,19 equal: Goal Reached
| 4 |
[
58,
8,
30,
15
] | 92 | [
"58-30=28",
"8*15=120",
"120-28=92"
] | Current State: 92:[58, 8, 30, 15], Operations: []
Exploring Operation: 58-30=28, Resulting Numbers: [8, 15, 28]
Generated Node #2: [8, 15, 28] from Operation: 58-30=28
Current State: 92:[8, 15, 28], Operations: ['58-30=28']
Exploring Operation: 8*15=120, Resulting Numbers: [28, 120]
Generated Node #3: [28, 120] from Operation: 8*15=120
Current State: 92:[28, 120], Operations: ['58-30=28', '8*15=120']
Exploring Operation: 120-28=92, Resulting Numbers: [92]
92,92 equal: Goal Reached
| 4 |
[
27,
16,
71,
86
] | 69 | [
"27+16=43",
"86/43=2",
"71-2=69"
] | Current State: 69:[27, 16, 71, 86], Operations: []
Exploring Operation: 27+16=43, Resulting Numbers: [71, 86, 43]
Generated Node #2: [71, 86, 43] from Operation: 27+16=43
Current State: 69:[71, 86, 43], Operations: ['27+16=43']
Exploring Operation: 86/43=2, Resulting Numbers: [71, 2]
Generated Node #3: [71, 2] from Operation: 86/43=2
Current State: 69:[71, 2], Operations: ['27+16=43', '86/43=2']
Exploring Operation: 71-2=69, Resulting Numbers: [69]
69,69 equal: Goal Reached
| 4 |
[
84,
72,
81,
3
] | 78 | [
"84+72=156",
"81-3=78",
"156-78=78"
] | Current State: 78:[84, 72, 81, 3], Operations: []
Exploring Operation: 84+72=156, Resulting Numbers: [81, 3, 156]
Generated Node #2: [81, 3, 156] from Operation: 84+72=156
Current State: 78:[81, 3, 156], Operations: ['84+72=156']
Exploring Operation: 81-3=78, Resulting Numbers: [156, 78]
Generated Node #3: [156, 78] from Operation: 81-3=78
Current State: 78:[156, 78], Operations: ['84+72=156', '81-3=78']
Exploring Operation: 156-78=78, Resulting Numbers: [78]
78,78 equal: Goal Reached
| 4 |
[
40,
13,
74,
21
] | 69 | [
"21-13=8",
"40/8=5",
"74-5=69"
] | Current State: 69:[40, 13, 74, 21], Operations: []
Exploring Operation: 21-13=8, Resulting Numbers: [40, 74, 8]
Generated Node #2: [40, 74, 8] from Operation: 21-13=8
Current State: 69:[40, 74, 8], Operations: ['21-13=8']
Exploring Operation: 40/8=5, Resulting Numbers: [74, 5]
Generated Node #3: [74, 5] from Operation: 40/8=5
Current State: 69:[74, 5], Operations: ['21-13=8', '40/8=5']
Exploring Operation: 74-5=69, Resulting Numbers: [69]
69,69 equal: Goal Reached
| 4 |
[
2,
67,
58,
18
] | 45 | [
"2*18=36",
"67-58=9",
"36+9=45"
] | Current State: 45:[2, 67, 58, 18], Operations: []
Exploring Operation: 2*18=36, Resulting Numbers: [67, 58, 36]
Generated Node #2: [67, 58, 36] from Operation: 2*18=36
Current State: 45:[67, 58, 36], Operations: ['2*18=36']
Exploring Operation: 67-58=9, Resulting Numbers: [36, 9]
Generated Node #3: [36, 9] from Operation: 67-58=9
Current State: 45:[36, 9], Operations: ['2*18=36', '67-58=9']
Exploring Operation: 36+9=45, Resulting Numbers: [45]
45,45 equal: Goal Reached
| 4 |
[
33,
70,
4,
11
] | 30 | [
"70-33=37",
"11-4=7",
"37-7=30"
] | Current State: 30:[33, 70, 4, 11], Operations: []
Exploring Operation: 70-33=37, Resulting Numbers: [4, 11, 37]
Generated Node #2: [4, 11, 37] from Operation: 70-33=37
Current State: 30:[4, 11, 37], Operations: ['70-33=37']
Exploring Operation: 11-4=7, Resulting Numbers: [37, 7]
Generated Node #3: [37, 7] from Operation: 11-4=7
Current State: 30:[37, 7], Operations: ['70-33=37', '11-4=7']
Exploring Operation: 37-7=30, Resulting Numbers: [30]
30,30 equal: Goal Reached
| 4 |
[
96,
1,
13,
7
] | 91 | [
"96+1=97",
"13-7=6",
"97-6=91"
] | Current State: 91:[96, 1, 13, 7], Operations: []
Exploring Operation: 96+1=97, Resulting Numbers: [13, 7, 97]
Generated Node #2: [13, 7, 97] from Operation: 96+1=97
Current State: 91:[13, 7, 97], Operations: ['96+1=97']
Exploring Operation: 13-7=6, Resulting Numbers: [97, 6]
Generated Node #3: [97, 6] from Operation: 13-7=6
Current State: 91:[97, 6], Operations: ['96+1=97', '13-7=6']
Exploring Operation: 97-6=91, Resulting Numbers: [91]
91,91 equal: Goal Reached
| 4 |
[
5,
44,
50,
63
] | 35 | [
"44*50=2200",
"5+2200=2205",
"2205/63=35"
] | Current State: 35:[5, 44, 50, 63], Operations: []
Exploring Operation: 44*50=2200, Resulting Numbers: [5, 63, 2200]
Generated Node #2: [5, 63, 2200] from Operation: 44*50=2200
Current State: 35:[5, 63, 2200], Operations: ['44*50=2200']
Exploring Operation: 5+2200=2205, Resulting Numbers: [63, 2205]
Generated Node #3: [63, 2205] from Operation: 5+2200=2205
Current State: 35:[63, 2205], Operations: ['44*50=2200', '5+2200=2205']
Exploring Operation: 2205/63=35, Resulting Numbers: [35]
35,35 equal: Goal Reached
| 4 |
[
78,
60,
99,
83
] | 81 | [
"99-60=39",
"78/39=2",
"83-2=81"
] | Current State: 81:[78, 60, 99, 83], Operations: []
Exploring Operation: 99-60=39, Resulting Numbers: [78, 83, 39]
Generated Node #2: [78, 83, 39] from Operation: 99-60=39
Current State: 81:[78, 83, 39], Operations: ['99-60=39']
Exploring Operation: 78/39=2, Resulting Numbers: [83, 2]
Generated Node #3: [83, 2] from Operation: 78/39=2
Current State: 81:[83, 2], Operations: ['99-60=39', '78/39=2']
Exploring Operation: 83-2=81, Resulting Numbers: [81]
81,81 equal: Goal Reached
| 4 |
[
75,
33,
41,
87
] | 44 | [
"75+41=116",
"33*116=3828",
"3828/87=44"
] | Current State: 44:[75, 33, 41, 87], Operations: []
Exploring Operation: 75+41=116, Resulting Numbers: [33, 87, 116]
Generated Node #2: [33, 87, 116] from Operation: 75+41=116
Current State: 44:[33, 87, 116], Operations: ['75+41=116']
Exploring Operation: 33*116=3828, Resulting Numbers: [87, 3828]
Generated Node #3: [87, 3828] from Operation: 33*116=3828
Current State: 44:[87, 3828], Operations: ['75+41=116', '33*116=3828']
Exploring Operation: 3828/87=44, Resulting Numbers: [44]
44,44 equal: Goal Reached
| 4 |
[
92,
11,
21,
21
] | 11 | [
"21-21=0",
"92*0=0",
"11+0=11"
] | Current State: 11:[92, 11, 21, 21], Operations: []
Exploring Operation: 21-21=0, Resulting Numbers: [92, 11, 0]
Generated Node #2: [92, 11, 0] from Operation: 21-21=0
Current State: 11:[92, 11, 0], Operations: ['21-21=0']
Exploring Operation: 92*0=0, Resulting Numbers: [11, 0]
Generated Node #3: [11, 0] from Operation: 92*0=0
Current State: 11:[11, 0], Operations: ['21-21=0', '92*0=0']
Exploring Operation: 11+0=11, Resulting Numbers: [11]
11,11 equal: Goal Reached
| 4 |
[
54,
51,
79,
4
] | 19 | [
"54-51=3",
"79-3=76",
"76/4=19"
] | Current State: 19:[54, 51, 79, 4], Operations: []
Exploring Operation: 54-51=3, Resulting Numbers: [79, 4, 3]
Generated Node #2: [79, 4, 3] from Operation: 54-51=3
Current State: 19:[79, 4, 3], Operations: ['54-51=3']
Exploring Operation: 79-3=76, Resulting Numbers: [4, 76]
Generated Node #3: [4, 76] from Operation: 79-3=76
Current State: 19:[4, 76], Operations: ['54-51=3', '79-3=76']
Exploring Operation: 76/4=19, Resulting Numbers: [19]
19,19 equal: Goal Reached
| 4 |
[
93,
11,
32,
7
] | 90 | [
"32-11=21",
"21/7=3",
"93-3=90"
] | Current State: 90:[93, 11, 32, 7], Operations: []
Exploring Operation: 32-11=21, Resulting Numbers: [93, 7, 21]
Generated Node #2: [93, 7, 21] from Operation: 32-11=21
Current State: 90:[93, 7, 21], Operations: ['32-11=21']
Exploring Operation: 21/7=3, Resulting Numbers: [93, 3]
Generated Node #3: [93, 3] from Operation: 21/7=3
Current State: 90:[93, 3], Operations: ['32-11=21', '21/7=3']
Exploring Operation: 93-3=90, Resulting Numbers: [90]
90,90 equal: Goal Reached
| 4 |
[
4,
29,
21,
12
] | 92 | [
"12/4=3",
"21*3=63",
"29+63=92"
] | Current State: 92:[4, 29, 21, 12], Operations: []
Exploring Operation: 12/4=3, Resulting Numbers: [29, 21, 3]
Generated Node #2: [29, 21, 3] from Operation: 12/4=3
Current State: 92:[29, 21, 3], Operations: ['12/4=3']
Exploring Operation: 21*3=63, Resulting Numbers: [29, 63]
Generated Node #3: [29, 63] from Operation: 21*3=63
Current State: 92:[29, 63], Operations: ['12/4=3', '21*3=63']
Exploring Operation: 29+63=92, Resulting Numbers: [92]
92,92 equal: Goal Reached
| 4 |
[
84,
36,
40,
28
] | 25 | [
"84+36=120",
"120/40=3",
"28-3=25"
] | Current State: 25:[84, 36, 40, 28], Operations: []
Exploring Operation: 84+36=120, Resulting Numbers: [40, 28, 120]
Generated Node #2: [40, 28, 120] from Operation: 84+36=120
Current State: 25:[40, 28, 120], Operations: ['84+36=120']
Exploring Operation: 120/40=3, Resulting Numbers: [28, 3]
Generated Node #3: [28, 3] from Operation: 120/40=3
Current State: 25:[28, 3], Operations: ['84+36=120', '120/40=3']
Exploring Operation: 28-3=25, Resulting Numbers: [25]
25,25 equal: Goal Reached
| 4 |
[
14,
51,
3,
88
] | 57 | [
"88-14=74",
"51/3=17",
"74-17=57"
] | Current State: 57:[14, 51, 3, 88], Operations: []
Exploring Operation: 88-14=74, Resulting Numbers: [51, 3, 74]
Generated Node #2: [51, 3, 74] from Operation: 88-14=74
Current State: 57:[51, 3, 74], Operations: ['88-14=74']
Exploring Operation: 51/3=17, Resulting Numbers: [74, 17]
Generated Node #3: [74, 17] from Operation: 51/3=17
Current State: 57:[74, 17], Operations: ['88-14=74', '51/3=17']
Exploring Operation: 74-17=57, Resulting Numbers: [57]
57,57 equal: Goal Reached
| 4 |
[
20,
40,
70,
26
] | 61 | [
"40/20=2",
"70/2=35",
"26+35=61"
] | Current State: 61:[20, 40, 70, 26], Operations: []
Exploring Operation: 40/20=2, Resulting Numbers: [70, 26, 2]
Generated Node #2: [70, 26, 2] from Operation: 40/20=2
Current State: 61:[70, 26, 2], Operations: ['40/20=2']
Exploring Operation: 70/2=35, Resulting Numbers: [26, 35]
Generated Node #3: [26, 35] from Operation: 70/2=35
Current State: 61:[26, 35], Operations: ['40/20=2', '70/2=35']
Exploring Operation: 26+35=61, Resulting Numbers: [61]
61,61 equal: Goal Reached
| 4 |
[
73,
24,
80,
29
] | 89 | [
"29-24=5",
"80/5=16",
"73+16=89"
] | Current State: 89:[73, 24, 80, 29], Operations: []
Exploring Operation: 29-24=5, Resulting Numbers: [73, 80, 5]
Generated Node #2: [73, 80, 5] from Operation: 29-24=5
Current State: 89:[73, 80, 5], Operations: ['29-24=5']
Exploring Operation: 80/5=16, Resulting Numbers: [73, 16]
Generated Node #3: [73, 16] from Operation: 80/5=16
Current State: 89:[73, 16], Operations: ['29-24=5', '80/5=16']
Exploring Operation: 73+16=89, Resulting Numbers: [89]
89,89 equal: Goal Reached
| 4 |
[
3,
59,
5,
66
] | 56 | [
"3+5=8",
"66-59=7",
"8*7=56"
] | Current State: 56:[3, 59, 5, 66], Operations: []
Exploring Operation: 3+5=8, Resulting Numbers: [59, 66, 8]
Generated Node #2: [59, 66, 8] from Operation: 3+5=8
Current State: 56:[59, 66, 8], Operations: ['3+5=8']
Exploring Operation: 66-59=7, Resulting Numbers: [8, 7]
Generated Node #3: [8, 7] from Operation: 66-59=7
Current State: 56:[8, 7], Operations: ['3+5=8', '66-59=7']
Exploring Operation: 8*7=56, Resulting Numbers: [56]
56,56 equal: Goal Reached
| 4 |
[
35,
4,
21,
59
] | 12 | [
"35+21=56",
"59-56=3",
"4*3=12"
] | Current State: 12:[35, 4, 21, 59], Operations: []
Exploring Operation: 35+21=56, Resulting Numbers: [4, 59, 56]
Generated Node #2: [4, 59, 56] from Operation: 35+21=56
Current State: 12:[4, 59, 56], Operations: ['35+21=56']
Exploring Operation: 59-56=3, Resulting Numbers: [4, 3]
Generated Node #3: [4, 3] from Operation: 59-56=3
Current State: 12:[4, 3], Operations: ['35+21=56', '59-56=3']
Exploring Operation: 4*3=12, Resulting Numbers: [12]
12,12 equal: Goal Reached
| 4 |
[
35,
90,
4,
32
] | 73 | [
"90-35=55",
"4*32=128",
"128-55=73"
] | Current State: 73:[35, 90, 4, 32], Operations: []
Exploring Operation: 90-35=55, Resulting Numbers: [4, 32, 55]
Generated Node #2: [4, 32, 55] from Operation: 90-35=55
Current State: 73:[4, 32, 55], Operations: ['90-35=55']
Exploring Operation: 4*32=128, Resulting Numbers: [55, 128]
Generated Node #3: [55, 128] from Operation: 4*32=128
Current State: 73:[55, 128], Operations: ['90-35=55', '4*32=128']
Exploring Operation: 128-55=73, Resulting Numbers: [73]
73,73 equal: Goal Reached
| 4 |
[
6,
15,
35,
27
] | 69 | [
"35*27=945",
"945/15=63",
"6+63=69"
] | Current State: 69:[6, 15, 35, 27], Operations: []
Exploring Operation: 35*27=945, Resulting Numbers: [6, 15, 945]
Generated Node #2: [6, 15, 945] from Operation: 35*27=945
Current State: 69:[6, 15, 945], Operations: ['35*27=945']
Exploring Operation: 945/15=63, Resulting Numbers: [6, 63]
Generated Node #3: [6, 63] from Operation: 945/15=63
Current State: 69:[6, 63], Operations: ['35*27=945', '945/15=63']
Exploring Operation: 6+63=69, Resulting Numbers: [69]
69,69 equal: Goal Reached
| 4 |
[
95,
92,
58,
44
] | 99 | [
"95-92=3",
"58+44=102",
"102-3=99"
] | Current State: 99:[95, 92, 58, 44], Operations: []
Exploring Operation: 95-92=3, Resulting Numbers: [58, 44, 3]
Generated Node #2: [58, 44, 3] from Operation: 95-92=3
Current State: 99:[58, 44, 3], Operations: ['95-92=3']
Exploring Operation: 58+44=102, Resulting Numbers: [3, 102]
Generated Node #3: [3, 102] from Operation: 58+44=102
Current State: 99:[3, 102], Operations: ['95-92=3', '58+44=102']
Exploring Operation: 102-3=99, Resulting Numbers: [99]
99,99 equal: Goal Reached
| 4 |
[
87,
10,
51,
68
] | 94 | [
"87-10=77",
"68-51=17",
"77+17=94"
] | Current State: 94:[87, 10, 51, 68], Operations: []
Exploring Operation: 87-10=77, Resulting Numbers: [51, 68, 77]
Generated Node #2: [51, 68, 77] from Operation: 87-10=77
Current State: 94:[51, 68, 77], Operations: ['87-10=77']
Exploring Operation: 68-51=17, Resulting Numbers: [77, 17]
Generated Node #3: [77, 17] from Operation: 68-51=17
Current State: 94:[77, 17], Operations: ['87-10=77', '68-51=17']
Exploring Operation: 77+17=94, Resulting Numbers: [94]
94,94 equal: Goal Reached
| 4 |
[
7,
37,
77,
40
] | 98 | [
"40-37=3",
"7*3=21",
"77+21=98"
] | Current State: 98:[7, 37, 77, 40], Operations: []
Exploring Operation: 40-37=3, Resulting Numbers: [7, 77, 3]
Generated Node #2: [7, 77, 3] from Operation: 40-37=3
Current State: 98:[7, 77, 3], Operations: ['40-37=3']
Exploring Operation: 7*3=21, Resulting Numbers: [77, 21]
Generated Node #3: [77, 21] from Operation: 7*3=21
Current State: 98:[77, 21], Operations: ['40-37=3', '7*3=21']
Exploring Operation: 77+21=98, Resulting Numbers: [98]
98,98 equal: Goal Reached
| 4 |
[
13,
27,
16,
20
] | 21 | [
"16-13=3",
"27-20=7",
"3*7=21"
] | Current State: 21:[13, 27, 16, 20], Operations: []
Exploring Operation: 16-13=3, Resulting Numbers: [27, 20, 3]
Generated Node #2: [27, 20, 3] from Operation: 16-13=3
Current State: 21:[27, 20, 3], Operations: ['16-13=3']
Exploring Operation: 27-20=7, Resulting Numbers: [3, 7]
Generated Node #3: [3, 7] from Operation: 27-20=7
Current State: 21:[3, 7], Operations: ['16-13=3', '27-20=7']
Exploring Operation: 3*7=21, Resulting Numbers: [21]
21,21 equal: Goal Reached
| 4 |
[
96,
67,
84,
14
] | 51 | [
"96*14=1344",
"1344/84=16",
"67-16=51"
] | Current State: 51:[96, 67, 84, 14], Operations: []
Exploring Operation: 96*14=1344, Resulting Numbers: [67, 84, 1344]
Generated Node #2: [67, 84, 1344] from Operation: 96*14=1344
Current State: 51:[67, 84, 1344], Operations: ['96*14=1344']
Exploring Operation: 1344/84=16, Resulting Numbers: [67, 16]
Generated Node #3: [67, 16] from Operation: 1344/84=16
Current State: 51:[67, 16], Operations: ['96*14=1344', '1344/84=16']
Exploring Operation: 67-16=51, Resulting Numbers: [51]
51,51 equal: Goal Reached
| 4 |
[
72,
57,
67,
3
] | 62 | [
"72-57=15",
"15/3=5",
"67-5=62"
] | Current State: 62:[72, 57, 67, 3], Operations: []
Exploring Operation: 72-57=15, Resulting Numbers: [67, 3, 15]
Generated Node #2: [67, 3, 15] from Operation: 72-57=15
Current State: 62:[67, 3, 15], Operations: ['72-57=15']
Exploring Operation: 15/3=5, Resulting Numbers: [67, 5]
Generated Node #3: [67, 5] from Operation: 15/3=5
Current State: 62:[67, 5], Operations: ['72-57=15', '15/3=5']
Exploring Operation: 67-5=62, Resulting Numbers: [62]
62,62 equal: Goal Reached
| 4 |
[
73,
34,
51,
15
] | 83 | [
"34*15=510",
"510/51=10",
"73+10=83"
] | Current State: 83:[73, 34, 51, 15], Operations: []
Exploring Operation: 34*15=510, Resulting Numbers: [73, 51, 510]
Generated Node #2: [73, 51, 510] from Operation: 34*15=510
Current State: 83:[73, 51, 510], Operations: ['34*15=510']
Exploring Operation: 510/51=10, Resulting Numbers: [73, 10]
Generated Node #3: [73, 10] from Operation: 510/51=10
Current State: 83:[73, 10], Operations: ['34*15=510', '510/51=10']
Exploring Operation: 73+10=83, Resulting Numbers: [83]
83,83 equal: Goal Reached
| 4 |
[
18,
12,
21,
13
] | 17 | [
"21-18=3",
"12/3=4",
"13+4=17"
] | Current State: 17:[18, 12, 21, 13], Operations: []
Exploring Operation: 21-18=3, Resulting Numbers: [12, 13, 3]
Generated Node #2: [12, 13, 3] from Operation: 21-18=3
Current State: 17:[12, 13, 3], Operations: ['21-18=3']
Exploring Operation: 12/3=4, Resulting Numbers: [13, 4]
Generated Node #3: [13, 4] from Operation: 12/3=4
Current State: 17:[13, 4], Operations: ['21-18=3', '12/3=4']
Exploring Operation: 13+4=17, Resulting Numbers: [17]
17,17 equal: Goal Reached
| 4 |
[
80,
35,
37,
62
] | 90 | [
"80+35=115",
"62-37=25",
"115-25=90"
] | Current State: 90:[80, 35, 37, 62], Operations: []
Exploring Operation: 80+35=115, Resulting Numbers: [37, 62, 115]
Generated Node #2: [37, 62, 115] from Operation: 80+35=115
Current State: 90:[37, 62, 115], Operations: ['80+35=115']
Exploring Operation: 62-37=25, Resulting Numbers: [115, 25]
Generated Node #3: [115, 25] from Operation: 62-37=25
Current State: 90:[115, 25], Operations: ['80+35=115', '62-37=25']
Exploring Operation: 115-25=90, Resulting Numbers: [90]
90,90 equal: Goal Reached
| 4 |
[
73,
96,
35,
21
] | 79 | [
"96-73=23",
"35+21=56",
"23+56=79"
] | Current State: 79:[73, 96, 35, 21], Operations: []
Exploring Operation: 96-73=23, Resulting Numbers: [35, 21, 23]
Generated Node #2: [35, 21, 23] from Operation: 96-73=23
Current State: 79:[35, 21, 23], Operations: ['96-73=23']
Exploring Operation: 35+21=56, Resulting Numbers: [23, 56]
Generated Node #3: [23, 56] from Operation: 35+21=56
Current State: 79:[23, 56], Operations: ['96-73=23', '35+21=56']
Exploring Operation: 23+56=79, Resulting Numbers: [79]
79,79 equal: Goal Reached
| 4 |
[
17,
55,
20,
58
] | 77 | [
"58-55=3",
"20*3=60",
"17+60=77"
] | Current State: 77:[17, 55, 20, 58], Operations: []
Exploring Operation: 58-55=3, Resulting Numbers: [17, 20, 3]
Generated Node #2: [17, 20, 3] from Operation: 58-55=3
Current State: 77:[17, 20, 3], Operations: ['58-55=3']
Exploring Operation: 20*3=60, Resulting Numbers: [17, 60]
Generated Node #3: [17, 60] from Operation: 20*3=60
Current State: 77:[17, 60], Operations: ['58-55=3', '20*3=60']
Exploring Operation: 17+60=77, Resulting Numbers: [77]
77,77 equal: Goal Reached
| 4 |
[
3,
24,
71,
48
] | 45 | [
"71-48=23",
"3*23=69",
"69-24=45"
] | Current State: 45:[3, 24, 71, 48], Operations: []
Exploring Operation: 71-48=23, Resulting Numbers: [3, 24, 23]
Generated Node #2: [3, 24, 23] from Operation: 71-48=23
Current State: 45:[3, 24, 23], Operations: ['71-48=23']
Exploring Operation: 3*23=69, Resulting Numbers: [24, 69]
Generated Node #3: [24, 69] from Operation: 3*23=69
Current State: 45:[24, 69], Operations: ['71-48=23', '3*23=69']
Exploring Operation: 69-24=45, Resulting Numbers: [45]
45,45 equal: Goal Reached
| 4 |
[
74,
95,
7,
8
] | 36 | [
"95-74=21",
"7+8=15",
"21+15=36"
] | Current State: 36:[74, 95, 7, 8], Operations: []
Exploring Operation: 95-74=21, Resulting Numbers: [7, 8, 21]
Generated Node #2: [7, 8, 21] from Operation: 95-74=21
Current State: 36:[7, 8, 21], Operations: ['95-74=21']
Exploring Operation: 7+8=15, Resulting Numbers: [21, 15]
Generated Node #3: [21, 15] from Operation: 7+8=15
Current State: 36:[21, 15], Operations: ['95-74=21', '7+8=15']
Exploring Operation: 21+15=36, Resulting Numbers: [36]
36,36 equal: Goal Reached
| 4 |
[
6,
4,
52,
72
] | 32 | [
"6-4=2",
"52*2=104",
"104-72=32"
] | Current State: 32:[6, 4, 52, 72], Operations: []
Exploring Operation: 6-4=2, Resulting Numbers: [52, 72, 2]
Generated Node #2: [52, 72, 2] from Operation: 6-4=2
Current State: 32:[52, 72, 2], Operations: ['6-4=2']
Exploring Operation: 52*2=104, Resulting Numbers: [72, 104]
Generated Node #3: [72, 104] from Operation: 52*2=104
Current State: 32:[72, 104], Operations: ['6-4=2', '52*2=104']
Exploring Operation: 104-72=32, Resulting Numbers: [32]
32,32 equal: Goal Reached
| 4 |
[
50,
42,
13,
28
] | 88 | [
"50*42=2100",
"2100/28=75",
"13+75=88"
] | Current State: 88:[50, 42, 13, 28], Operations: []
Exploring Operation: 50*42=2100, Resulting Numbers: [13, 28, 2100]
Generated Node #2: [13, 28, 2100] from Operation: 50*42=2100
Current State: 88:[13, 28, 2100], Operations: ['50*42=2100']
Exploring Operation: 2100/28=75, Resulting Numbers: [13, 75]
Generated Node #3: [13, 75] from Operation: 2100/28=75
Current State: 88:[13, 75], Operations: ['50*42=2100', '2100/28=75']
Exploring Operation: 13+75=88, Resulting Numbers: [88]
88,88 equal: Goal Reached
| 4 |
[
11,
77,
22,
7
] | 82 | [
"22/11=2",
"77+7=84",
"84-2=82"
] | Current State: 82:[11, 77, 22, 7], Operations: []
Exploring Operation: 22/11=2, Resulting Numbers: [77, 7, 2]
Generated Node #2: [77, 7, 2] from Operation: 22/11=2
Current State: 82:[77, 7, 2], Operations: ['22/11=2']
Exploring Operation: 77+7=84, Resulting Numbers: [2, 84]
Generated Node #3: [2, 84] from Operation: 77+7=84
Current State: 82:[2, 84], Operations: ['22/11=2', '77+7=84']
Exploring Operation: 84-2=82, Resulting Numbers: [82]
82,82 equal: Goal Reached
| 4 |
[
96,
50,
44,
36
] | 16 | [
"50-44=6",
"96*6=576",
"576/36=16"
] | Current State: 16:[96, 50, 44, 36], Operations: []
Exploring Operation: 50-44=6, Resulting Numbers: [96, 36, 6]
Generated Node #2: [96, 36, 6] from Operation: 50-44=6
Current State: 16:[96, 36, 6], Operations: ['50-44=6']
Exploring Operation: 96*6=576, Resulting Numbers: [36, 576]
Generated Node #3: [36, 576] from Operation: 96*6=576
Current State: 16:[36, 576], Operations: ['50-44=6', '96*6=576']
Exploring Operation: 576/36=16, Resulting Numbers: [16]
16,16 equal: Goal Reached
| 4 |
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