nums listlengths 4 4 | target int64 10 100 | solution listlengths 3 3 | optimal_path stringlengths 282 529 | start_size int64 4 4 |
|---|---|---|---|---|
[
44,
11,
81,
45
] | 71 | [
"44+11=55",
"81+45=126",
"126-55=71"
] | Current State: 71:[44, 11, 81, 45], Operations: []
Exploring Operation: 44+11=55, Resulting Numbers: [81, 45, 55]
Generated Node #2: [81, 45, 55] from Operation: 44+11=55
Current State: 71:[81, 45, 55], Operations: ['44+11=55']
Exploring Operation: 81+45=126, Resulting Numbers: [55, 126]
Generated Node #3: [55, 126] from Operation: 81+45=126
Current State: 71:[55, 126], Operations: ['44+11=55', '81+45=126']
Exploring Operation: 126-55=71, Resulting Numbers: [71]
71,71 equal: Goal Reached
| 4 |
[
83,
22,
31,
16
] | 90 | [
"83+22=105",
"31-16=15",
"105-15=90"
] | Current State: 90:[83, 22, 31, 16], Operations: []
Exploring Operation: 83+22=105, Resulting Numbers: [31, 16, 105]
Generated Node #2: [31, 16, 105] from Operation: 83+22=105
Current State: 90:[31, 16, 105], Operations: ['83+22=105']
Exploring Operation: 31-16=15, Resulting Numbers: [105, 15]
Generated Node #3: [105, 15] from Operation: 31-16=15
Current State: 90:[105, 15], Operations: ['83+22=105', '31-16=15']
Exploring Operation: 105-15=90, Resulting Numbers: [90]
90,90 equal: Goal Reached
| 4 |
[
36,
74,
35,
6
] | 79 | [
"74-36=38",
"35+6=41",
"38+41=79"
] | Current State: 79:[36, 74, 35, 6], Operations: []
Exploring Operation: 74-36=38, Resulting Numbers: [35, 6, 38]
Generated Node #2: [35, 6, 38] from Operation: 74-36=38
Current State: 79:[35, 6, 38], Operations: ['74-36=38']
Exploring Operation: 35+6=41, Resulting Numbers: [38, 41]
Generated Node #3: [38, 41] from Operation: 35+6=41
Current State: 79:[38, 41], Operations: ['74-36=38', '35+6=41']
Exploring Operation: 38+41=79, Resulting Numbers: [79]
79,79 equal: Goal Reached
| 4 |
[
54,
75,
96,
95
] | 93 | [
"54+96=150",
"150/75=2",
"95-2=93"
] | Current State: 93:[54, 75, 96, 95], Operations: []
Exploring Operation: 54+96=150, Resulting Numbers: [75, 95, 150]
Generated Node #2: [75, 95, 150] from Operation: 54+96=150
Current State: 93:[75, 95, 150], Operations: ['54+96=150']
Exploring Operation: 150/75=2, Resulting Numbers: [95, 2]
Generated Node #3: [95, 2] from Operation: 150/75=2
Current State: 93:[95, 2], Operations: ['54+96=150', '150/75=2']
Exploring Operation: 95-2=93, Resulting Numbers: [93]
93,93 equal: Goal Reached
| 4 |
[
73,
98,
21,
19
] | 12 | [
"73+98=171",
"171/19=9",
"21-9=12"
] | Current State: 12:[73, 98, 21, 19], Operations: []
Exploring Operation: 73+98=171, Resulting Numbers: [21, 19, 171]
Generated Node #2: [21, 19, 171] from Operation: 73+98=171
Current State: 12:[21, 19, 171], Operations: ['73+98=171']
Exploring Operation: 171/19=9, Resulting Numbers: [21, 9]
Generated Node #3: [21, 9] from Operation: 171/19=9
Current State: 12:[21, 9], Operations: ['73+98=171', '171/19=9']
Exploring Operation: 21-9=12, Resulting Numbers: [12]
12,12 equal: Goal Reached
| 4 |
[
39,
59,
64,
40
] | 74 | [
"39+59=98",
"64-40=24",
"98-24=74"
] | Current State: 74:[39, 59, 64, 40], Operations: []
Exploring Operation: 39+59=98, Resulting Numbers: [64, 40, 98]
Generated Node #2: [64, 40, 98] from Operation: 39+59=98
Current State: 74:[64, 40, 98], Operations: ['39+59=98']
Exploring Operation: 64-40=24, Resulting Numbers: [98, 24]
Generated Node #3: [98, 24] from Operation: 64-40=24
Current State: 74:[98, 24], Operations: ['39+59=98', '64-40=24']
Exploring Operation: 98-24=74, Resulting Numbers: [74]
74,74 equal: Goal Reached
| 4 |
[
7,
8,
35,
98
] | 13 | [
"98/7=14",
"35-8=27",
"27-14=13"
] | Current State: 13:[7, 8, 35, 98], Operations: []
Exploring Operation: 98/7=14, Resulting Numbers: [8, 35, 14]
Generated Node #2: [8, 35, 14] from Operation: 98/7=14
Current State: 13:[8, 35, 14], Operations: ['98/7=14']
Exploring Operation: 35-8=27, Resulting Numbers: [14, 27]
Generated Node #3: [14, 27] from Operation: 35-8=27
Current State: 13:[14, 27], Operations: ['98/7=14', '35-8=27']
Exploring Operation: 27-14=13, Resulting Numbers: [13]
13,13 equal: Goal Reached
| 4 |
[
91,
17,
40,
28
] | 40 | [
"91+17=108",
"40+28=68",
"108-68=40"
] | Current State: 40:[91, 17, 40, 28], Operations: []
Exploring Operation: 91+17=108, Resulting Numbers: [40, 28, 108]
Generated Node #2: [40, 28, 108] from Operation: 91+17=108
Current State: 40:[40, 28, 108], Operations: ['91+17=108']
Exploring Operation: 40+28=68, Resulting Numbers: [108, 68]
Generated Node #3: [108, 68] from Operation: 40+28=68
Current State: 40:[108, 68], Operations: ['91+17=108', '40+28=68']
Exploring Operation: 108-68=40, Resulting Numbers: [40]
40,40 equal: Goal Reached
| 4 |
[
71,
54,
65,
74
] | 33 | [
"74-71=3",
"65-54=11",
"3*11=33"
] | Current State: 33:[71, 54, 65, 74], Operations: []
Exploring Operation: 74-71=3, Resulting Numbers: [54, 65, 3]
Generated Node #2: [54, 65, 3] from Operation: 74-71=3
Current State: 33:[54, 65, 3], Operations: ['74-71=3']
Exploring Operation: 65-54=11, Resulting Numbers: [3, 11]
Generated Node #3: [3, 11] from Operation: 65-54=11
Current State: 33:[3, 11], Operations: ['74-71=3', '65-54=11']
Exploring Operation: 3*11=33, Resulting Numbers: [33]
33,33 equal: Goal Reached
| 4 |
[
5,
12,
11,
41
] | 90 | [
"5*12=60",
"41-11=30",
"60+30=90"
] | Current State: 90:[5, 12, 11, 41], Operations: []
Exploring Operation: 5*12=60, Resulting Numbers: [11, 41, 60]
Generated Node #2: [11, 41, 60] from Operation: 5*12=60
Current State: 90:[11, 41, 60], Operations: ['5*12=60']
Exploring Operation: 41-11=30, Resulting Numbers: [60, 30]
Generated Node #3: [60, 30] from Operation: 41-11=30
Current State: 90:[60, 30], Operations: ['5*12=60', '41-11=30']
Exploring Operation: 60+30=90, Resulting Numbers: [90]
90,90 equal: Goal Reached
| 4 |
[
79,
27,
40,
66
] | 26 | [
"79-27=52",
"66-40=26",
"52-26=26"
] | Current State: 26:[79, 27, 40, 66], Operations: []
Exploring Operation: 79-27=52, Resulting Numbers: [40, 66, 52]
Generated Node #2: [40, 66, 52] from Operation: 79-27=52
Current State: 26:[40, 66, 52], Operations: ['79-27=52']
Exploring Operation: 66-40=26, Resulting Numbers: [52, 26]
Generated Node #3: [52, 26] from Operation: 66-40=26
Current State: 26:[52, 26], Operations: ['79-27=52', '66-40=26']
Exploring Operation: 52-26=26, Resulting Numbers: [26]
26,26 equal: Goal Reached
| 4 |
[
45,
19,
38,
73
] | 85 | [
"45-19=26",
"38+73=111",
"111-26=85"
] | Current State: 85:[45, 19, 38, 73], Operations: []
Exploring Operation: 45-19=26, Resulting Numbers: [38, 73, 26]
Generated Node #2: [38, 73, 26] from Operation: 45-19=26
Current State: 85:[38, 73, 26], Operations: ['45-19=26']
Exploring Operation: 38+73=111, Resulting Numbers: [26, 111]
Generated Node #3: [26, 111] from Operation: 38+73=111
Current State: 85:[26, 111], Operations: ['45-19=26', '38+73=111']
Exploring Operation: 111-26=85, Resulting Numbers: [85]
85,85 equal: Goal Reached
| 4 |
[
86,
1,
17,
9
] | 61 | [
"86+1=87",
"17+9=26",
"87-26=61"
] | Current State: 61:[86, 1, 17, 9], Operations: []
Exploring Operation: 86+1=87, Resulting Numbers: [17, 9, 87]
Generated Node #2: [17, 9, 87] from Operation: 86+1=87
Current State: 61:[17, 9, 87], Operations: ['86+1=87']
Exploring Operation: 17+9=26, Resulting Numbers: [87, 26]
Generated Node #3: [87, 26] from Operation: 17+9=26
Current State: 61:[87, 26], Operations: ['86+1=87', '17+9=26']
Exploring Operation: 87-26=61, Resulting Numbers: [61]
61,61 equal: Goal Reached
| 4 |
[
14,
91,
1,
77
] | 29 | [
"14+91=105",
"77-1=76",
"105-76=29"
] | Current State: 29:[14, 91, 1, 77], Operations: []
Exploring Operation: 14+91=105, Resulting Numbers: [1, 77, 105]
Generated Node #2: [1, 77, 105] from Operation: 14+91=105
Current State: 29:[1, 77, 105], Operations: ['14+91=105']
Exploring Operation: 77-1=76, Resulting Numbers: [105, 76]
Generated Node #3: [105, 76] from Operation: 77-1=76
Current State: 29:[105, 76], Operations: ['14+91=105', '77-1=76']
Exploring Operation: 105-76=29, Resulting Numbers: [29]
29,29 equal: Goal Reached
| 4 |
[
30,
32,
39,
15
] | 46 | [
"30*39=1170",
"1170/15=78",
"78-32=46"
] | Current State: 46:[30, 32, 39, 15], Operations: []
Exploring Operation: 30*39=1170, Resulting Numbers: [32, 15, 1170]
Generated Node #2: [32, 15, 1170] from Operation: 30*39=1170
Current State: 46:[32, 15, 1170], Operations: ['30*39=1170']
Exploring Operation: 1170/15=78, Resulting Numbers: [32, 78]
Generated Node #3: [32, 78] from Operation: 1170/15=78
Current State: 46:[32, 78], Operations: ['30*39=1170', '1170/15=78']
Exploring Operation: 78-32=46, Resulting Numbers: [46]
46,46 equal: Goal Reached
| 4 |
[
17,
24,
43,
6
] | 90 | [
"17+24=41",
"43+6=49",
"41+49=90"
] | Current State: 90:[17, 24, 43, 6], Operations: []
Exploring Operation: 17+24=41, Resulting Numbers: [43, 6, 41]
Generated Node #2: [43, 6, 41] from Operation: 17+24=41
Current State: 90:[43, 6, 41], Operations: ['17+24=41']
Exploring Operation: 43+6=49, Resulting Numbers: [41, 49]
Generated Node #3: [41, 49] from Operation: 43+6=49
Current State: 90:[41, 49], Operations: ['17+24=41', '43+6=49']
Exploring Operation: 41+49=90, Resulting Numbers: [90]
90,90 equal: Goal Reached
| 4 |
[
5,
41,
8,
14
] | 81 | [
"8-5=3",
"41-14=27",
"3*27=81"
] | Current State: 81:[5, 41, 8, 14], Operations: []
Exploring Operation: 8-5=3, Resulting Numbers: [41, 14, 3]
Generated Node #2: [41, 14, 3] from Operation: 8-5=3
Current State: 81:[41, 14, 3], Operations: ['8-5=3']
Exploring Operation: 41-14=27, Resulting Numbers: [3, 27]
Generated Node #3: [3, 27] from Operation: 41-14=27
Current State: 81:[3, 27], Operations: ['8-5=3', '41-14=27']
Exploring Operation: 3*27=81, Resulting Numbers: [81]
81,81 equal: Goal Reached
| 4 |
[
80,
36,
71,
37
] | 83 | [
"71+37=108",
"108/36=3",
"80+3=83"
] | Current State: 83:[80, 36, 71, 37], Operations: []
Exploring Operation: 71+37=108, Resulting Numbers: [80, 36, 108]
Generated Node #2: [80, 36, 108] from Operation: 71+37=108
Current State: 83:[80, 36, 108], Operations: ['71+37=108']
Exploring Operation: 108/36=3, Resulting Numbers: [80, 3]
Generated Node #3: [80, 3] from Operation: 108/36=3
Current State: 83:[80, 3], Operations: ['71+37=108', '108/36=3']
Exploring Operation: 80+3=83, Resulting Numbers: [83]
83,83 equal: Goal Reached
| 4 |
[
12,
96,
73,
18
] | 63 | [
"96/12=8",
"73-18=55",
"8+55=63"
] | Current State: 63:[12, 96, 73, 18], Operations: []
Exploring Operation: 96/12=8, Resulting Numbers: [73, 18, 8]
Generated Node #2: [73, 18, 8] from Operation: 96/12=8
Current State: 63:[73, 18, 8], Operations: ['96/12=8']
Exploring Operation: 73-18=55, Resulting Numbers: [8, 55]
Generated Node #3: [8, 55] from Operation: 73-18=55
Current State: 63:[8, 55], Operations: ['96/12=8', '73-18=55']
Exploring Operation: 8+55=63, Resulting Numbers: [63]
63,63 equal: Goal Reached
| 4 |
[
68,
92,
48,
65
] | 67 | [
"92-68=24",
"48/24=2",
"65+2=67"
] | Current State: 67:[68, 92, 48, 65], Operations: []
Exploring Operation: 92-68=24, Resulting Numbers: [48, 65, 24]
Generated Node #2: [48, 65, 24] from Operation: 92-68=24
Current State: 67:[48, 65, 24], Operations: ['92-68=24']
Exploring Operation: 48/24=2, Resulting Numbers: [65, 2]
Generated Node #3: [65, 2] from Operation: 48/24=2
Current State: 67:[65, 2], Operations: ['92-68=24', '48/24=2']
Exploring Operation: 65+2=67, Resulting Numbers: [67]
67,67 equal: Goal Reached
| 4 |
[
95,
54,
50,
40
] | 50 | [
"95-54=41",
"41-40=1",
"50*1=50"
] | Current State: 50:[95, 54, 50, 40], Operations: []
Exploring Operation: 95-54=41, Resulting Numbers: [50, 40, 41]
Generated Node #2: [50, 40, 41] from Operation: 95-54=41
Current State: 50:[50, 40, 41], Operations: ['95-54=41']
Exploring Operation: 41-40=1, Resulting Numbers: [50, 1]
Generated Node #3: [50, 1] from Operation: 41-40=1
Current State: 50:[50, 1], Operations: ['95-54=41', '41-40=1']
Exploring Operation: 50*1=50, Resulting Numbers: [50]
50,50 equal: Goal Reached
| 4 |
[
97,
83,
69,
39
] | 41 | [
"97+69=166",
"166/83=2",
"39+2=41"
] | Current State: 41:[97, 83, 69, 39], Operations: []
Exploring Operation: 97+69=166, Resulting Numbers: [83, 39, 166]
Generated Node #2: [83, 39, 166] from Operation: 97+69=166
Current State: 41:[83, 39, 166], Operations: ['97+69=166']
Exploring Operation: 166/83=2, Resulting Numbers: [39, 2]
Generated Node #3: [39, 2] from Operation: 166/83=2
Current State: 41:[39, 2], Operations: ['97+69=166', '166/83=2']
Exploring Operation: 39+2=41, Resulting Numbers: [41]
41,41 equal: Goal Reached
| 4 |
[
42,
13,
99,
2
] | 77 | [
"42+13=55",
"99+55=154",
"154/2=77"
] | Current State: 77:[42, 13, 99, 2], Operations: []
Exploring Operation: 42+13=55, Resulting Numbers: [99, 2, 55]
Generated Node #2: [99, 2, 55] from Operation: 42+13=55
Current State: 77:[99, 2, 55], Operations: ['42+13=55']
Exploring Operation: 99+55=154, Resulting Numbers: [2, 154]
Generated Node #3: [2, 154] from Operation: 99+55=154
Current State: 77:[2, 154], Operations: ['42+13=55', '99+55=154']
Exploring Operation: 154/2=77, Resulting Numbers: [77]
77,77 equal: Goal Reached
| 4 |
[
93,
57,
88,
71
] | 61 | [
"93-71=22",
"88/22=4",
"57+4=61"
] | Current State: 61:[93, 57, 88, 71], Operations: []
Exploring Operation: 93-71=22, Resulting Numbers: [57, 88, 22]
Generated Node #2: [57, 88, 22] from Operation: 93-71=22
Current State: 61:[57, 88, 22], Operations: ['93-71=22']
Exploring Operation: 88/22=4, Resulting Numbers: [57, 4]
Generated Node #3: [57, 4] from Operation: 88/22=4
Current State: 61:[57, 4], Operations: ['93-71=22', '88/22=4']
Exploring Operation: 57+4=61, Resulting Numbers: [61]
61,61 equal: Goal Reached
| 4 |
[
99,
48,
83,
17
] | 72 | [
"99*48=4752",
"83-17=66",
"4752/66=72"
] | Current State: 72:[99, 48, 83, 17], Operations: []
Exploring Operation: 99*48=4752, Resulting Numbers: [83, 17, 4752]
Generated Node #2: [83, 17, 4752] from Operation: 99*48=4752
Current State: 72:[83, 17, 4752], Operations: ['99*48=4752']
Exploring Operation: 83-17=66, Resulting Numbers: [4752, 66]
Generated Node #3: [4752, 66] from Operation: 83-17=66
Current State: 72:[4752, 66], Operations: ['99*48=4752', '83-17=66']
Exploring Operation: 4752/66=72, Resulting Numbers: [72]
72,72 equal: Goal Reached
| 4 |
[
53,
6,
6,
96
] | 69 | [
"53*6=318",
"96+318=414",
"414/6=69"
] | Current State: 69:[53, 6, 6, 96], Operations: []
Exploring Operation: 53*6=318, Resulting Numbers: [96, 318]
Generated Node #2: [96, 318] from Operation: 53*6=318
Current State: 69:[96, 318], Operations: ['53*6=318']
Exploring Operation: 96+318=414, Resulting Numbers: [414]
414,69 equal: Goal Reached
Exploring Operation: 414/6=69, Resulting Numbers: [69]
69,69 equal: Goal Reached
| 4 |
[
29,
21,
39,
3
] | 54 | [
"29*39=1131",
"3+1131=1134",
"1134/21=54"
] | Current State: 54:[29, 21, 39, 3], Operations: []
Exploring Operation: 29*39=1131, Resulting Numbers: [21, 3, 1131]
Generated Node #2: [21, 3, 1131] from Operation: 29*39=1131
Current State: 54:[21, 3, 1131], Operations: ['29*39=1131']
Exploring Operation: 3+1131=1134, Resulting Numbers: [21, 1134]
Generated Node #3: [21, 1134] from Operation: 3+1131=1134
Current State: 54:[21, 1134], Operations: ['29*39=1131', '3+1131=1134']
Exploring Operation: 1134/21=54, Resulting Numbers: [54]
54,54 equal: Goal Reached
| 4 |
[
85,
63,
25,
10
] | 52 | [
"85+25=110",
"110/10=11",
"63-11=52"
] | Current State: 52:[85, 63, 25, 10], Operations: []
Exploring Operation: 85+25=110, Resulting Numbers: [63, 10, 110]
Generated Node #2: [63, 10, 110] from Operation: 85+25=110
Current State: 52:[63, 10, 110], Operations: ['85+25=110']
Exploring Operation: 110/10=11, Resulting Numbers: [63, 11]
Generated Node #3: [63, 11] from Operation: 110/10=11
Current State: 52:[63, 11], Operations: ['85+25=110', '110/10=11']
Exploring Operation: 63-11=52, Resulting Numbers: [52]
52,52 equal: Goal Reached
| 4 |
[
92,
47,
36,
57
] | 46 | [
"92+47=139",
"36+57=93",
"139-93=46"
] | Current State: 46:[92, 47, 36, 57], Operations: []
Exploring Operation: 92+47=139, Resulting Numbers: [36, 57, 139]
Generated Node #2: [36, 57, 139] from Operation: 92+47=139
Current State: 46:[36, 57, 139], Operations: ['92+47=139']
Exploring Operation: 36+57=93, Resulting Numbers: [139, 93]
Generated Node #3: [139, 93] from Operation: 36+57=93
Current State: 46:[139, 93], Operations: ['92+47=139', '36+57=93']
Exploring Operation: 139-93=46, Resulting Numbers: [46]
46,46 equal: Goal Reached
| 4 |
[
46,
88,
68,
75
] | 71 | [
"68-46=22",
"88/22=4",
"75-4=71"
] | Current State: 71:[46, 88, 68, 75], Operations: []
Exploring Operation: 68-46=22, Resulting Numbers: [88, 75, 22]
Generated Node #2: [88, 75, 22] from Operation: 68-46=22
Current State: 71:[88, 75, 22], Operations: ['68-46=22']
Exploring Operation: 88/22=4, Resulting Numbers: [75, 4]
Generated Node #3: [75, 4] from Operation: 88/22=4
Current State: 71:[75, 4], Operations: ['68-46=22', '88/22=4']
Exploring Operation: 75-4=71, Resulting Numbers: [71]
71,71 equal: Goal Reached
| 4 |
[
34,
5,
12,
36
] | 19 | [
"34-5=29",
"12+36=48",
"48-29=19"
] | Current State: 19:[34, 5, 12, 36], Operations: []
Exploring Operation: 34-5=29, Resulting Numbers: [12, 36, 29]
Generated Node #2: [12, 36, 29] from Operation: 34-5=29
Current State: 19:[12, 36, 29], Operations: ['34-5=29']
Exploring Operation: 12+36=48, Resulting Numbers: [29, 48]
Generated Node #3: [29, 48] from Operation: 12+36=48
Current State: 19:[29, 48], Operations: ['34-5=29', '12+36=48']
Exploring Operation: 48-29=19, Resulting Numbers: [19]
19,19 equal: Goal Reached
| 4 |
[
54,
60,
57,
48
] | 49 | [
"60-54=6",
"48/6=8",
"57-8=49"
] | Current State: 49:[54, 60, 57, 48], Operations: []
Exploring Operation: 60-54=6, Resulting Numbers: [57, 48, 6]
Generated Node #2: [57, 48, 6] from Operation: 60-54=6
Current State: 49:[57, 48, 6], Operations: ['60-54=6']
Exploring Operation: 48/6=8, Resulting Numbers: [57, 8]
Generated Node #3: [57, 8] from Operation: 48/6=8
Current State: 49:[57, 8], Operations: ['60-54=6', '48/6=8']
Exploring Operation: 57-8=49, Resulting Numbers: [49]
49,49 equal: Goal Reached
| 4 |
[
6,
90,
14,
21
] | 34 | [
"14*21=294",
"294-90=204",
"204/6=34"
] | Current State: 34:[6, 90, 14, 21], Operations: []
Exploring Operation: 14*21=294, Resulting Numbers: [6, 90, 294]
Generated Node #2: [6, 90, 294] from Operation: 14*21=294
Current State: 34:[6, 90, 294], Operations: ['14*21=294']
Exploring Operation: 294-90=204, Resulting Numbers: [6, 204]
Generated Node #3: [6, 204] from Operation: 294-90=204
Current State: 34:[6, 204], Operations: ['14*21=294', '294-90=204']
Exploring Operation: 204/6=34, Resulting Numbers: [34]
34,34 equal: Goal Reached
| 4 |
[
80,
20,
60,
6
] | 28 | [
"80*6=480",
"480/60=8",
"20+8=28"
] | Current State: 28:[80, 20, 60, 6], Operations: []
Exploring Operation: 80*6=480, Resulting Numbers: [20, 60, 480]
Generated Node #2: [20, 60, 480] from Operation: 80*6=480
Current State: 28:[20, 60, 480], Operations: ['80*6=480']
Exploring Operation: 480/60=8, Resulting Numbers: [20, 8]
Generated Node #3: [20, 8] from Operation: 480/60=8
Current State: 28:[20, 8], Operations: ['80*6=480', '480/60=8']
Exploring Operation: 20+8=28, Resulting Numbers: [28]
28,28 equal: Goal Reached
| 4 |
[
47,
90,
1,
2
] | 51 | [
"1+2=3",
"47*3=141",
"141-90=51"
] | Current State: 51:[47, 90, 1, 2], Operations: []
Exploring Operation: 1+2=3, Resulting Numbers: [47, 90, 3]
Generated Node #2: [47, 90, 3] from Operation: 1+2=3
Current State: 51:[47, 90, 3], Operations: ['1+2=3']
Exploring Operation: 47*3=141, Resulting Numbers: [90, 141]
Generated Node #3: [90, 141] from Operation: 47*3=141
Current State: 51:[90, 141], Operations: ['1+2=3', '47*3=141']
Exploring Operation: 141-90=51, Resulting Numbers: [51]
51,51 equal: Goal Reached
| 4 |
[
8,
21,
12,
4
] | 23 | [
"8*4=32",
"21-12=9",
"32-9=23"
] | Current State: 23:[8, 21, 12, 4], Operations: []
Exploring Operation: 8*4=32, Resulting Numbers: [21, 12, 32]
Generated Node #2: [21, 12, 32] from Operation: 8*4=32
Current State: 23:[21, 12, 32], Operations: ['8*4=32']
Exploring Operation: 21-12=9, Resulting Numbers: [32, 9]
Generated Node #3: [32, 9] from Operation: 21-12=9
Current State: 23:[32, 9], Operations: ['8*4=32', '21-12=9']
Exploring Operation: 32-9=23, Resulting Numbers: [23]
23,23 equal: Goal Reached
| 4 |
[
2,
95,
68,
14
] | 11 | [
"95-2=93",
"68+14=82",
"93-82=11"
] | Current State: 11:[2, 95, 68, 14], Operations: []
Exploring Operation: 95-2=93, Resulting Numbers: [68, 14, 93]
Generated Node #2: [68, 14, 93] from Operation: 95-2=93
Current State: 11:[68, 14, 93], Operations: ['95-2=93']
Exploring Operation: 68+14=82, Resulting Numbers: [93, 82]
Generated Node #3: [93, 82] from Operation: 68+14=82
Current State: 11:[93, 82], Operations: ['95-2=93', '68+14=82']
Exploring Operation: 93-82=11, Resulting Numbers: [11]
11,11 equal: Goal Reached
| 4 |
[
42,
63,
77,
54
] | 28 | [
"42*63=2646",
"2646/54=49",
"77-49=28"
] | Current State: 28:[42, 63, 77, 54], Operations: []
Exploring Operation: 42*63=2646, Resulting Numbers: [77, 54, 2646]
Generated Node #2: [77, 54, 2646] from Operation: 42*63=2646
Current State: 28:[77, 54, 2646], Operations: ['42*63=2646']
Exploring Operation: 2646/54=49, Resulting Numbers: [77, 49]
Generated Node #3: [77, 49] from Operation: 2646/54=49
Current State: 28:[77, 49], Operations: ['42*63=2646', '2646/54=49']
Exploring Operation: 77-49=28, Resulting Numbers: [28]
28,28 equal: Goal Reached
| 4 |
[
70,
9,
9,
46
] | 98 | [
"70-9=61",
"46-9=37",
"61+37=98"
] | Current State: 98:[70, 9, 9, 46], Operations: []
Exploring Operation: 70-9=61, Resulting Numbers: [46, 61]
Generated Node #2: [46, 61] from Operation: 70-9=61
Current State: 98:[46, 61], Operations: ['70-9=61']
Exploring Operation: 46-9=37, Resulting Numbers: [61, 37]
Generated Node #3: [61, 37] from Operation: 46-9=37
Current State: 98:[61, 37], Operations: ['70-9=61', '46-9=37']
Exploring Operation: 61+37=98, Resulting Numbers: [98]
98,98 equal: Goal Reached
| 4 |
[
72,
73,
6,
47
] | 41 | [
"73-72=1",
"47-6=41",
"1*41=41"
] | Current State: 41:[72, 73, 6, 47], Operations: []
Exploring Operation: 73-72=1, Resulting Numbers: [6, 47, 1]
Generated Node #2: [6, 47, 1] from Operation: 73-72=1
Current State: 41:[6, 47, 1], Operations: ['73-72=1']
Exploring Operation: 47-6=41, Resulting Numbers: [1, 41]
Generated Node #3: [1, 41] from Operation: 47-6=41
Current State: 41:[1, 41], Operations: ['73-72=1', '47-6=41']
Exploring Operation: 1*41=41, Resulting Numbers: [41]
41,41 equal: Goal Reached
| 4 |
[
50,
39,
59,
69
] | 99 | [
"50+39=89",
"69-59=10",
"89+10=99"
] | Current State: 99:[50, 39, 59, 69], Operations: []
Exploring Operation: 50+39=89, Resulting Numbers: [59, 69, 89]
Generated Node #2: [59, 69, 89] from Operation: 50+39=89
Current State: 99:[59, 69, 89], Operations: ['50+39=89']
Exploring Operation: 69-59=10, Resulting Numbers: [89, 10]
Generated Node #3: [89, 10] from Operation: 69-59=10
Current State: 99:[89, 10], Operations: ['50+39=89', '69-59=10']
Exploring Operation: 89+10=99, Resulting Numbers: [99]
99,99 equal: Goal Reached
| 4 |
[
52,
16,
33,
54
] | 22 | [
"52-16=36",
"33*36=1188",
"1188/54=22"
] | Current State: 22:[52, 16, 33, 54], Operations: []
Exploring Operation: 52-16=36, Resulting Numbers: [33, 54, 36]
Generated Node #2: [33, 54, 36] from Operation: 52-16=36
Current State: 22:[33, 54, 36], Operations: ['52-16=36']
Exploring Operation: 33*36=1188, Resulting Numbers: [54, 1188]
Generated Node #3: [54, 1188] from Operation: 33*36=1188
Current State: 22:[54, 1188], Operations: ['52-16=36', '33*36=1188']
Exploring Operation: 1188/54=22, Resulting Numbers: [22]
22,22 equal: Goal Reached
| 4 |
[
98,
84,
55,
53
] | 74 | [
"98+84=182",
"55+53=108",
"182-108=74"
] | Current State: 74:[98, 84, 55, 53], Operations: []
Exploring Operation: 98+84=182, Resulting Numbers: [55, 53, 182]
Generated Node #2: [55, 53, 182] from Operation: 98+84=182
Current State: 74:[55, 53, 182], Operations: ['98+84=182']
Exploring Operation: 55+53=108, Resulting Numbers: [182, 108]
Generated Node #3: [182, 108] from Operation: 55+53=108
Current State: 74:[182, 108], Operations: ['98+84=182', '55+53=108']
Exploring Operation: 182-108=74, Resulting Numbers: [74]
74,74 equal: Goal Reached
| 4 |
[
11,
3,
14,
37
] | 59 | [
"11-3=8",
"14+37=51",
"8+51=59"
] | Current State: 59:[11, 3, 14, 37], Operations: []
Exploring Operation: 11-3=8, Resulting Numbers: [14, 37, 8]
Generated Node #2: [14, 37, 8] from Operation: 11-3=8
Current State: 59:[14, 37, 8], Operations: ['11-3=8']
Exploring Operation: 14+37=51, Resulting Numbers: [8, 51]
Generated Node #3: [8, 51] from Operation: 14+37=51
Current State: 59:[8, 51], Operations: ['11-3=8', '14+37=51']
Exploring Operation: 8+51=59, Resulting Numbers: [59]
59,59 equal: Goal Reached
| 4 |
[
40,
20,
63,
72
] | 99 | [
"40/20=2",
"72/2=36",
"63+36=99"
] | Current State: 99:[40, 20, 63, 72], Operations: []
Exploring Operation: 40/20=2, Resulting Numbers: [63, 72, 2]
Generated Node #2: [63, 72, 2] from Operation: 40/20=2
Current State: 99:[63, 72, 2], Operations: ['40/20=2']
Exploring Operation: 72/2=36, Resulting Numbers: [63, 36]
Generated Node #3: [63, 36] from Operation: 72/2=36
Current State: 99:[63, 36], Operations: ['40/20=2', '72/2=36']
Exploring Operation: 63+36=99, Resulting Numbers: [99]
99,99 equal: Goal Reached
| 4 |
[
26,
69,
3,
67
] | 58 | [
"26+3=29",
"69-67=2",
"29*2=58"
] | Current State: 58:[26, 69, 3, 67], Operations: []
Exploring Operation: 26+3=29, Resulting Numbers: [69, 67, 29]
Generated Node #2: [69, 67, 29] from Operation: 26+3=29
Current State: 58:[69, 67, 29], Operations: ['26+3=29']
Exploring Operation: 69-67=2, Resulting Numbers: [29, 2]
Generated Node #3: [29, 2] from Operation: 69-67=2
Current State: 58:[29, 2], Operations: ['26+3=29', '69-67=2']
Exploring Operation: 29*2=58, Resulting Numbers: [58]
58,58 equal: Goal Reached
| 4 |
[
45,
70,
43,
39
] | 62 | [
"45-43=2",
"70-39=31",
"2*31=62"
] | Current State: 62:[45, 70, 43, 39], Operations: []
Exploring Operation: 45-43=2, Resulting Numbers: [70, 39, 2]
Generated Node #2: [70, 39, 2] from Operation: 45-43=2
Current State: 62:[70, 39, 2], Operations: ['45-43=2']
Exploring Operation: 70-39=31, Resulting Numbers: [2, 31]
Generated Node #3: [2, 31] from Operation: 70-39=31
Current State: 62:[2, 31], Operations: ['45-43=2', '70-39=31']
Exploring Operation: 2*31=62, Resulting Numbers: [62]
62,62 equal: Goal Reached
| 4 |
[
58,
39,
83,
97
] | 83 | [
"58+39=97",
"83+97=180",
"180-97=83"
] | Current State: 83:[58, 39, 83, 97], Operations: []
Exploring Operation: 58+39=97, Resulting Numbers: [83, 97, 97]
Generated Node #2: [83, 97, 97] from Operation: 58+39=97
Current State: 83:[83, 97, 97], Operations: ['58+39=97']
Exploring Operation: 83+97=180, Resulting Numbers: [180]
180,83 equal: Goal Reached
Exploring Operation: 180-97=83, Resulting Numbers: [83]
83,83 equal: Goal Reached
| 4 |
[
60,
70,
28,
6
] | 44 | [
"70-60=10",
"28+6=34",
"10+34=44"
] | Current State: 44:[60, 70, 28, 6], Operations: []
Exploring Operation: 70-60=10, Resulting Numbers: [28, 6, 10]
Generated Node #2: [28, 6, 10] from Operation: 70-60=10
Current State: 44:[28, 6, 10], Operations: ['70-60=10']
Exploring Operation: 28+6=34, Resulting Numbers: [10, 34]
Generated Node #3: [10, 34] from Operation: 28+6=34
Current State: 44:[10, 34], Operations: ['70-60=10', '28+6=34']
Exploring Operation: 10+34=44, Resulting Numbers: [44]
44,44 equal: Goal Reached
| 4 |
[
30,
92,
66,
39
] | 17 | [
"30+92=122",
"66+39=105",
"122-105=17"
] | Current State: 17:[30, 92, 66, 39], Operations: []
Exploring Operation: 30+92=122, Resulting Numbers: [66, 39, 122]
Generated Node #2: [66, 39, 122] from Operation: 30+92=122
Current State: 17:[66, 39, 122], Operations: ['30+92=122']
Exploring Operation: 66+39=105, Resulting Numbers: [122, 105]
Generated Node #3: [122, 105] from Operation: 66+39=105
Current State: 17:[122, 105], Operations: ['30+92=122', '66+39=105']
Exploring Operation: 122-105=17, Resulting Numbers: [17]
17,17 equal: Goal Reached
| 4 |
[
18,
70,
17,
9
] | 96 | [
"18+70=88",
"17-9=8",
"88+8=96"
] | Current State: 96:[18, 70, 17, 9], Operations: []
Exploring Operation: 18+70=88, Resulting Numbers: [17, 9, 88]
Generated Node #2: [17, 9, 88] from Operation: 18+70=88
Current State: 96:[17, 9, 88], Operations: ['18+70=88']
Exploring Operation: 17-9=8, Resulting Numbers: [88, 8]
Generated Node #3: [88, 8] from Operation: 17-9=8
Current State: 96:[88, 8], Operations: ['18+70=88', '17-9=8']
Exploring Operation: 88+8=96, Resulting Numbers: [96]
96,96 equal: Goal Reached
| 4 |
[
54,
95,
99,
4
] | 62 | [
"54+95=149",
"99+149=248",
"248/4=62"
] | Current State: 62:[54, 95, 99, 4], Operations: []
Exploring Operation: 54+95=149, Resulting Numbers: [99, 4, 149]
Generated Node #2: [99, 4, 149] from Operation: 54+95=149
Current State: 62:[99, 4, 149], Operations: ['54+95=149']
Exploring Operation: 99+149=248, Resulting Numbers: [4, 248]
Generated Node #3: [4, 248] from Operation: 99+149=248
Current State: 62:[4, 248], Operations: ['54+95=149', '99+149=248']
Exploring Operation: 248/4=62, Resulting Numbers: [62]
62,62 equal: Goal Reached
| 4 |
[
88,
82,
19,
31
] | 79 | [
"88-31=57",
"57/19=3",
"82-3=79"
] | Current State: 79:[88, 82, 19, 31], Operations: []
Exploring Operation: 88-31=57, Resulting Numbers: [82, 19, 57]
Generated Node #2: [82, 19, 57] from Operation: 88-31=57
Current State: 79:[82, 19, 57], Operations: ['88-31=57']
Exploring Operation: 57/19=3, Resulting Numbers: [82, 3]
Generated Node #3: [82, 3] from Operation: 57/19=3
Current State: 79:[82, 3], Operations: ['88-31=57', '57/19=3']
Exploring Operation: 82-3=79, Resulting Numbers: [79]
79,79 equal: Goal Reached
| 4 |
[
71,
6,
88,
2
] | 42 | [
"71-6=65",
"2*65=130",
"130-88=42"
] | Current State: 42:[71, 6, 88, 2], Operations: []
Exploring Operation: 71-6=65, Resulting Numbers: [88, 2, 65]
Generated Node #2: [88, 2, 65] from Operation: 71-6=65
Current State: 42:[88, 2, 65], Operations: ['71-6=65']
Exploring Operation: 2*65=130, Resulting Numbers: [88, 130]
Generated Node #3: [88, 130] from Operation: 2*65=130
Current State: 42:[88, 130], Operations: ['71-6=65', '2*65=130']
Exploring Operation: 130-88=42, Resulting Numbers: [42]
42,42 equal: Goal Reached
| 4 |
[
1,
48,
73,
91
] | 30 | [
"1*48=48",
"91-73=18",
"48-18=30"
] | Current State: 30:[1, 48, 73, 91], Operations: []
Exploring Operation: 1*48=48, Resulting Numbers: [73, 91, 48]
Generated Node #2: [73, 91, 48] from Operation: 1*48=48
Current State: 30:[73, 91, 48], Operations: ['1*48=48']
Exploring Operation: 91-73=18, Resulting Numbers: [48, 18]
Generated Node #3: [48, 18] from Operation: 91-73=18
Current State: 30:[48, 18], Operations: ['1*48=48', '91-73=18']
Exploring Operation: 48-18=30, Resulting Numbers: [30]
30,30 equal: Goal Reached
| 4 |
[
28,
63,
52,
26
] | 49 | [
"28*26=728",
"728/52=14",
"63-14=49"
] | Current State: 49:[28, 63, 52, 26], Operations: []
Exploring Operation: 28*26=728, Resulting Numbers: [63, 52, 728]
Generated Node #2: [63, 52, 728] from Operation: 28*26=728
Current State: 49:[63, 52, 728], Operations: ['28*26=728']
Exploring Operation: 728/52=14, Resulting Numbers: [63, 14]
Generated Node #3: [63, 14] from Operation: 728/52=14
Current State: 49:[63, 14], Operations: ['28*26=728', '728/52=14']
Exploring Operation: 63-14=49, Resulting Numbers: [49]
49,49 equal: Goal Reached
| 4 |
[
71,
4,
69,
94
] | 50 | [
"71+4=75",
"94-69=25",
"75-25=50"
] | Current State: 50:[71, 4, 69, 94], Operations: []
Exploring Operation: 71+4=75, Resulting Numbers: [69, 94, 75]
Generated Node #2: [69, 94, 75] from Operation: 71+4=75
Current State: 50:[69, 94, 75], Operations: ['71+4=75']
Exploring Operation: 94-69=25, Resulting Numbers: [75, 25]
Generated Node #3: [75, 25] from Operation: 94-69=25
Current State: 50:[75, 25], Operations: ['71+4=75', '94-69=25']
Exploring Operation: 75-25=50, Resulting Numbers: [50]
50,50 equal: Goal Reached
| 4 |
[
94,
12,
31,
7
] | 41 | [
"94+31=125",
"12*7=84",
"125-84=41"
] | Current State: 41:[94, 12, 31, 7], Operations: []
Exploring Operation: 94+31=125, Resulting Numbers: [12, 7, 125]
Generated Node #2: [12, 7, 125] from Operation: 94+31=125
Current State: 41:[12, 7, 125], Operations: ['94+31=125']
Exploring Operation: 12*7=84, Resulting Numbers: [125, 84]
Generated Node #3: [125, 84] from Operation: 12*7=84
Current State: 41:[125, 84], Operations: ['94+31=125', '12*7=84']
Exploring Operation: 125-84=41, Resulting Numbers: [41]
41,41 equal: Goal Reached
| 4 |
[
67,
76,
5,
66
] | 81 | [
"67-66=1",
"76+5=81",
"1*81=81"
] | Current State: 81:[67, 76, 5, 66], Operations: []
Exploring Operation: 67-66=1, Resulting Numbers: [76, 5, 1]
Generated Node #2: [76, 5, 1] from Operation: 67-66=1
Current State: 81:[76, 5, 1], Operations: ['67-66=1']
Exploring Operation: 76+5=81, Resulting Numbers: [1, 81]
Generated Node #3: [1, 81] from Operation: 76+5=81
Current State: 81:[1, 81], Operations: ['67-66=1', '76+5=81']
Exploring Operation: 1*81=81, Resulting Numbers: [81]
81,81 equal: Goal Reached
| 4 |
[
75,
64,
67,
37
] | 93 | [
"75-64=11",
"67+37=104",
"104-11=93"
] | Current State: 93:[75, 64, 67, 37], Operations: []
Exploring Operation: 75-64=11, Resulting Numbers: [67, 37, 11]
Generated Node #2: [67, 37, 11] from Operation: 75-64=11
Current State: 93:[67, 37, 11], Operations: ['75-64=11']
Exploring Operation: 67+37=104, Resulting Numbers: [11, 104]
Generated Node #3: [11, 104] from Operation: 67+37=104
Current State: 93:[11, 104], Operations: ['75-64=11', '67+37=104']
Exploring Operation: 104-11=93, Resulting Numbers: [93]
93,93 equal: Goal Reached
| 4 |
[
83,
75,
1,
86
] | 73 | [
"83+75=158",
"86-1=85",
"158-85=73"
] | Current State: 73:[83, 75, 1, 86], Operations: []
Exploring Operation: 83+75=158, Resulting Numbers: [1, 86, 158]
Generated Node #2: [1, 86, 158] from Operation: 83+75=158
Current State: 73:[1, 86, 158], Operations: ['83+75=158']
Exploring Operation: 86-1=85, Resulting Numbers: [158, 85]
Generated Node #3: [158, 85] from Operation: 86-1=85
Current State: 73:[158, 85], Operations: ['83+75=158', '86-1=85']
Exploring Operation: 158-85=73, Resulting Numbers: [73]
73,73 equal: Goal Reached
| 4 |
[
20,
68,
47,
42
] | 43 | [
"68-20=48",
"47-42=5",
"48-5=43"
] | Current State: 43:[20, 68, 47, 42], Operations: []
Exploring Operation: 68-20=48, Resulting Numbers: [47, 42, 48]
Generated Node #2: [47, 42, 48] from Operation: 68-20=48
Current State: 43:[47, 42, 48], Operations: ['68-20=48']
Exploring Operation: 47-42=5, Resulting Numbers: [48, 5]
Generated Node #3: [48, 5] from Operation: 47-42=5
Current State: 43:[48, 5], Operations: ['68-20=48', '47-42=5']
Exploring Operation: 48-5=43, Resulting Numbers: [43]
43,43 equal: Goal Reached
| 4 |
[
67,
22,
80,
35
] | 70 | [
"67-22=45",
"80+35=115",
"115-45=70"
] | Current State: 70:[67, 22, 80, 35], Operations: []
Exploring Operation: 67-22=45, Resulting Numbers: [80, 35, 45]
Generated Node #2: [80, 35, 45] from Operation: 67-22=45
Current State: 70:[80, 35, 45], Operations: ['67-22=45']
Exploring Operation: 80+35=115, Resulting Numbers: [45, 115]
Generated Node #3: [45, 115] from Operation: 80+35=115
Current State: 70:[45, 115], Operations: ['67-22=45', '80+35=115']
Exploring Operation: 115-45=70, Resulting Numbers: [70]
70,70 equal: Goal Reached
| 4 |
[
12,
84,
40,
52
] | 19 | [
"84/12=7",
"52-40=12",
"7+12=19"
] | Current State: 19:[12, 84, 40, 52], Operations: []
Exploring Operation: 84/12=7, Resulting Numbers: [40, 52, 7]
Generated Node #2: [40, 52, 7] from Operation: 84/12=7
Current State: 19:[40, 52, 7], Operations: ['84/12=7']
Exploring Operation: 52-40=12, Resulting Numbers: [7, 12]
Generated Node #3: [7, 12] from Operation: 52-40=12
Current State: 19:[7, 12], Operations: ['84/12=7', '52-40=12']
Exploring Operation: 7+12=19, Resulting Numbers: [19]
19,19 equal: Goal Reached
| 4 |
[
99,
6,
70,
36
] | 42 | [
"99-70=29",
"36-29=7",
"6*7=42"
] | Current State: 42:[99, 6, 70, 36], Operations: []
Exploring Operation: 99-70=29, Resulting Numbers: [6, 36, 29]
Generated Node #2: [6, 36, 29] from Operation: 99-70=29
Current State: 42:[6, 36, 29], Operations: ['99-70=29']
Exploring Operation: 36-29=7, Resulting Numbers: [6, 7]
Generated Node #3: [6, 7] from Operation: 36-29=7
Current State: 42:[6, 7], Operations: ['99-70=29', '36-29=7']
Exploring Operation: 6*7=42, Resulting Numbers: [42]
42,42 equal: Goal Reached
| 4 |
[
98,
65,
44,
52
] | 41 | [
"98-65=33",
"52-44=8",
"33+8=41"
] | Current State: 41:[98, 65, 44, 52], Operations: []
Exploring Operation: 98-65=33, Resulting Numbers: [44, 52, 33]
Generated Node #2: [44, 52, 33] from Operation: 98-65=33
Current State: 41:[44, 52, 33], Operations: ['98-65=33']
Exploring Operation: 52-44=8, Resulting Numbers: [33, 8]
Generated Node #3: [33, 8] from Operation: 52-44=8
Current State: 41:[33, 8], Operations: ['98-65=33', '52-44=8']
Exploring Operation: 33+8=41, Resulting Numbers: [41]
41,41 equal: Goal Reached
| 4 |
[
42,
99,
72,
54
] | 90 | [
"99*72=7128",
"7128/54=132",
"132-42=90"
] | Current State: 90:[42, 99, 72, 54], Operations: []
Exploring Operation: 99*72=7128, Resulting Numbers: [42, 54, 7128]
Generated Node #2: [42, 54, 7128] from Operation: 99*72=7128
Current State: 90:[42, 54, 7128], Operations: ['99*72=7128']
Exploring Operation: 7128/54=132, Resulting Numbers: [42, 132]
Generated Node #3: [42, 132] from Operation: 7128/54=132
Current State: 90:[42, 132], Operations: ['99*72=7128', '7128/54=132']
Exploring Operation: 132-42=90, Resulting Numbers: [90]
90,90 equal: Goal Reached
| 4 |
[
94,
35,
82,
53
] | 33 | [
"94-53=41",
"82/41=2",
"35-2=33"
] | Current State: 33:[94, 35, 82, 53], Operations: []
Exploring Operation: 94-53=41, Resulting Numbers: [35, 82, 41]
Generated Node #2: [35, 82, 41] from Operation: 94-53=41
Current State: 33:[35, 82, 41], Operations: ['94-53=41']
Exploring Operation: 82/41=2, Resulting Numbers: [35, 2]
Generated Node #3: [35, 2] from Operation: 82/41=2
Current State: 33:[35, 2], Operations: ['94-53=41', '82/41=2']
Exploring Operation: 35-2=33, Resulting Numbers: [33]
33,33 equal: Goal Reached
| 4 |
[
10,
64,
25,
37
] | 23 | [
"10+64=74",
"74/37=2",
"25-2=23"
] | Current State: 23:[10, 64, 25, 37], Operations: []
Exploring Operation: 10+64=74, Resulting Numbers: [25, 37, 74]
Generated Node #2: [25, 37, 74] from Operation: 10+64=74
Current State: 23:[25, 37, 74], Operations: ['10+64=74']
Exploring Operation: 74/37=2, Resulting Numbers: [25, 2]
Generated Node #3: [25, 2] from Operation: 74/37=2
Current State: 23:[25, 2], Operations: ['10+64=74', '74/37=2']
Exploring Operation: 25-2=23, Resulting Numbers: [23]
23,23 equal: Goal Reached
| 4 |
[
87,
79,
69,
78
] | 19 | [
"87+79=166",
"69+78=147",
"166-147=19"
] | Current State: 19:[87, 79, 69, 78], Operations: []
Exploring Operation: 87+79=166, Resulting Numbers: [69, 78, 166]
Generated Node #2: [69, 78, 166] from Operation: 87+79=166
Current State: 19:[69, 78, 166], Operations: ['87+79=166']
Exploring Operation: 69+78=147, Resulting Numbers: [166, 147]
Generated Node #3: [166, 147] from Operation: 69+78=147
Current State: 19:[166, 147], Operations: ['87+79=166', '69+78=147']
Exploring Operation: 166-147=19, Resulting Numbers: [19]
19,19 equal: Goal Reached
| 4 |
[
30,
6,
82,
90
] | 28 | [
"30+6=36",
"90-82=8",
"36-8=28"
] | Current State: 28:[30, 6, 82, 90], Operations: []
Exploring Operation: 30+6=36, Resulting Numbers: [82, 90, 36]
Generated Node #2: [82, 90, 36] from Operation: 30+6=36
Current State: 28:[82, 90, 36], Operations: ['30+6=36']
Exploring Operation: 90-82=8, Resulting Numbers: [36, 8]
Generated Node #3: [36, 8] from Operation: 90-82=8
Current State: 28:[36, 8], Operations: ['30+6=36', '90-82=8']
Exploring Operation: 36-8=28, Resulting Numbers: [28]
28,28 equal: Goal Reached
| 4 |
[
97,
55,
97,
15
] | 41 | [
"97/97=1",
"55-15=40",
"1+40=41"
] | Current State: 41:[97, 55, 97, 15], Operations: []
Exploring Operation: 97/97=1, Resulting Numbers: [55, 15, 1]
Generated Node #2: [55, 15, 1] from Operation: 97/97=1
Current State: 41:[55, 15, 1], Operations: ['97/97=1']
Exploring Operation: 55-15=40, Resulting Numbers: [1, 40]
Generated Node #3: [1, 40] from Operation: 55-15=40
Current State: 41:[1, 40], Operations: ['97/97=1', '55-15=40']
Exploring Operation: 1+40=41, Resulting Numbers: [41]
41,41 equal: Goal Reached
| 4 |
[
92,
41,
1,
3
] | 55 | [
"92-41=51",
"1+3=4",
"51+4=55"
] | Current State: 55:[92, 41, 1, 3], Operations: []
Exploring Operation: 92-41=51, Resulting Numbers: [1, 3, 51]
Generated Node #2: [1, 3, 51] from Operation: 92-41=51
Current State: 55:[1, 3, 51], Operations: ['92-41=51']
Exploring Operation: 1+3=4, Resulting Numbers: [51, 4]
Generated Node #3: [51, 4] from Operation: 1+3=4
Current State: 55:[51, 4], Operations: ['92-41=51', '1+3=4']
Exploring Operation: 51+4=55, Resulting Numbers: [55]
55,55 equal: Goal Reached
| 4 |
[
11,
24,
31,
74
] | 79 | [
"24+31=55",
"55/11=5",
"74+5=79"
] | Current State: 79:[11, 24, 31, 74], Operations: []
Exploring Operation: 24+31=55, Resulting Numbers: [11, 74, 55]
Generated Node #2: [11, 74, 55] from Operation: 24+31=55
Current State: 79:[11, 74, 55], Operations: ['24+31=55']
Exploring Operation: 55/11=5, Resulting Numbers: [74, 5]
Generated Node #3: [74, 5] from Operation: 55/11=5
Current State: 79:[74, 5], Operations: ['24+31=55', '55/11=5']
Exploring Operation: 74+5=79, Resulting Numbers: [79]
79,79 equal: Goal Reached
| 4 |
[
21,
25,
29,
25
] | 49 | [
"21+29=50",
"25/25=1",
"50-1=49"
] | Current State: 49:[21, 25, 29, 25], Operations: []
Exploring Operation: 21+29=50, Resulting Numbers: [25, 25, 50]
Generated Node #2: [25, 25, 50] from Operation: 21+29=50
Current State: 49:[25, 25, 50], Operations: ['21+29=50']
Exploring Operation: 25/25=1, Resulting Numbers: [50, 1]
Generated Node #3: [50, 1] from Operation: 25/25=1
Current State: 49:[50, 1], Operations: ['21+29=50', '25/25=1']
Exploring Operation: 50-1=49, Resulting Numbers: [49]
49,49 equal: Goal Reached
| 4 |
[
32,
28,
9,
53
] | 23 | [
"28+53=81",
"81/9=9",
"32-9=23"
] | Current State: 23:[32, 28, 9, 53], Operations: []
Exploring Operation: 28+53=81, Resulting Numbers: [32, 9, 81]
Generated Node #2: [32, 9, 81] from Operation: 28+53=81
Current State: 23:[32, 9, 81], Operations: ['28+53=81']
Exploring Operation: 81/9=9, Resulting Numbers: [32, 9]
Generated Node #3: [32, 9] from Operation: 81/9=9
Current State: 23:[32, 9], Operations: ['28+53=81', '81/9=9']
Exploring Operation: 32-9=23, Resulting Numbers: [23]
23,23 equal: Goal Reached
| 4 |
[
42,
18,
60,
7
] | 20 | [
"42*60=2520",
"18*7=126",
"2520/126=20"
] | Current State: 20:[42, 18, 60, 7], Operations: []
Exploring Operation: 42*60=2520, Resulting Numbers: [18, 7, 2520]
Generated Node #2: [18, 7, 2520] from Operation: 42*60=2520
Current State: 20:[18, 7, 2520], Operations: ['42*60=2520']
Exploring Operation: 18*7=126, Resulting Numbers: [2520, 126]
Generated Node #3: [2520, 126] from Operation: 18*7=126
Current State: 20:[2520, 126], Operations: ['42*60=2520', '18*7=126']
Exploring Operation: 2520/126=20, Resulting Numbers: [20]
20,20 equal: Goal Reached
| 4 |
[
87,
90,
61,
30
] | 94 | [
"90-87=3",
"61+30=91",
"3+91=94"
] | Current State: 94:[87, 90, 61, 30], Operations: []
Exploring Operation: 90-87=3, Resulting Numbers: [61, 30, 3]
Generated Node #2: [61, 30, 3] from Operation: 90-87=3
Current State: 94:[61, 30, 3], Operations: ['90-87=3']
Exploring Operation: 61+30=91, Resulting Numbers: [3, 91]
Generated Node #3: [3, 91] from Operation: 61+30=91
Current State: 94:[3, 91], Operations: ['90-87=3', '61+30=91']
Exploring Operation: 3+91=94, Resulting Numbers: [94]
94,94 equal: Goal Reached
| 4 |
[
55,
25,
28,
28
] | 25 | [
"55-28=27",
"28-27=1",
"25*1=25"
] | Current State: 25:[55, 25, 28, 28], Operations: []
Exploring Operation: 55-28=27, Resulting Numbers: [25, 27]
Generated Node #2: [25, 27] from Operation: 55-28=27
Current State: 25:[25, 27], Operations: ['55-28=27']
Exploring Operation: 28-27=1, Resulting Numbers: [25, 1]
Generated Node #3: [25, 1] from Operation: 28-27=1
Current State: 25:[25, 1], Operations: ['55-28=27', '28-27=1']
Exploring Operation: 25*1=25, Resulting Numbers: [25]
25,25 equal: Goal Reached
| 4 |
[
12,
10,
42,
34
] | 98 | [
"12+10=22",
"42+34=76",
"22+76=98"
] | Current State: 98:[12, 10, 42, 34], Operations: []
Exploring Operation: 12+10=22, Resulting Numbers: [42, 34, 22]
Generated Node #2: [42, 34, 22] from Operation: 12+10=22
Current State: 98:[42, 34, 22], Operations: ['12+10=22']
Exploring Operation: 42+34=76, Resulting Numbers: [22, 76]
Generated Node #3: [22, 76] from Operation: 42+34=76
Current State: 98:[22, 76], Operations: ['12+10=22', '42+34=76']
Exploring Operation: 22+76=98, Resulting Numbers: [98]
98,98 equal: Goal Reached
| 4 |
[
31,
77,
86,
12
] | 11 | [
"77-31=46",
"86+46=132",
"132/12=11"
] | Current State: 11:[31, 77, 86, 12], Operations: []
Exploring Operation: 77-31=46, Resulting Numbers: [86, 12, 46]
Generated Node #2: [86, 12, 46] from Operation: 77-31=46
Current State: 11:[86, 12, 46], Operations: ['77-31=46']
Exploring Operation: 86+46=132, Resulting Numbers: [12, 132]
Generated Node #3: [12, 132] from Operation: 86+46=132
Current State: 11:[12, 132], Operations: ['77-31=46', '86+46=132']
Exploring Operation: 132/12=11, Resulting Numbers: [11]
11,11 equal: Goal Reached
| 4 |
[
71,
51,
3,
25
] | 79 | [
"71+25=96",
"51/3=17",
"96-17=79"
] | Current State: 79:[71, 51, 3, 25], Operations: []
Exploring Operation: 71+25=96, Resulting Numbers: [51, 3, 96]
Generated Node #2: [51, 3, 96] from Operation: 71+25=96
Current State: 79:[51, 3, 96], Operations: ['71+25=96']
Exploring Operation: 51/3=17, Resulting Numbers: [96, 17]
Generated Node #3: [96, 17] from Operation: 51/3=17
Current State: 79:[96, 17], Operations: ['71+25=96', '51/3=17']
Exploring Operation: 96-17=79, Resulting Numbers: [79]
79,79 equal: Goal Reached
| 4 |
[
16,
52,
80,
32
] | 56 | [
"32/16=2",
"80-52=28",
"2*28=56"
] | Current State: 56:[16, 52, 80, 32], Operations: []
Exploring Operation: 32/16=2, Resulting Numbers: [52, 80, 2]
Generated Node #2: [52, 80, 2] from Operation: 32/16=2
Current State: 56:[52, 80, 2], Operations: ['32/16=2']
Exploring Operation: 80-52=28, Resulting Numbers: [2, 28]
Generated Node #3: [2, 28] from Operation: 80-52=28
Current State: 56:[2, 28], Operations: ['32/16=2', '80-52=28']
Exploring Operation: 2*28=56, Resulting Numbers: [56]
56,56 equal: Goal Reached
| 4 |
[
60,
2,
40,
46
] | 26 | [
"60+46=106",
"2*40=80",
"106-80=26"
] | Current State: 26:[60, 2, 40, 46], Operations: []
Exploring Operation: 60+46=106, Resulting Numbers: [2, 40, 106]
Generated Node #2: [2, 40, 106] from Operation: 60+46=106
Current State: 26:[2, 40, 106], Operations: ['60+46=106']
Exploring Operation: 2*40=80, Resulting Numbers: [106, 80]
Generated Node #3: [106, 80] from Operation: 2*40=80
Current State: 26:[106, 80], Operations: ['60+46=106', '2*40=80']
Exploring Operation: 106-80=26, Resulting Numbers: [26]
26,26 equal: Goal Reached
| 4 |
[
16,
18,
72,
9
] | 29 | [
"16+18=34",
"72-9=63",
"63-34=29"
] | Current State: 29:[16, 18, 72, 9], Operations: []
Exploring Operation: 16+18=34, Resulting Numbers: [72, 9, 34]
Generated Node #2: [72, 9, 34] from Operation: 16+18=34
Current State: 29:[72, 9, 34], Operations: ['16+18=34']
Exploring Operation: 72-9=63, Resulting Numbers: [34, 63]
Generated Node #3: [34, 63] from Operation: 72-9=63
Current State: 29:[34, 63], Operations: ['16+18=34', '72-9=63']
Exploring Operation: 63-34=29, Resulting Numbers: [29]
29,29 equal: Goal Reached
| 4 |
[
72,
16,
60,
70
] | 74 | [
"72-16=56",
"60+70=130",
"130-56=74"
] | Current State: 74:[72, 16, 60, 70], Operations: []
Exploring Operation: 72-16=56, Resulting Numbers: [60, 70, 56]
Generated Node #2: [60, 70, 56] from Operation: 72-16=56
Current State: 74:[60, 70, 56], Operations: ['72-16=56']
Exploring Operation: 60+70=130, Resulting Numbers: [56, 130]
Generated Node #3: [56, 130] from Operation: 60+70=130
Current State: 74:[56, 130], Operations: ['72-16=56', '60+70=130']
Exploring Operation: 130-56=74, Resulting Numbers: [74]
74,74 equal: Goal Reached
| 4 |
[
57,
83,
45,
24
] | 81 | [
"57-45=12",
"24/12=2",
"83-2=81"
] | Current State: 81:[57, 83, 45, 24], Operations: []
Exploring Operation: 57-45=12, Resulting Numbers: [83, 24, 12]
Generated Node #2: [83, 24, 12] from Operation: 57-45=12
Current State: 81:[83, 24, 12], Operations: ['57-45=12']
Exploring Operation: 24/12=2, Resulting Numbers: [83, 2]
Generated Node #3: [83, 2] from Operation: 24/12=2
Current State: 81:[83, 2], Operations: ['57-45=12', '24/12=2']
Exploring Operation: 83-2=81, Resulting Numbers: [81]
81,81 equal: Goal Reached
| 4 |
[
69,
53,
9,
67
] | 77 | [
"69-53=16",
"9*16=144",
"144-67=77"
] | Current State: 77:[69, 53, 9, 67], Operations: []
Exploring Operation: 69-53=16, Resulting Numbers: [9, 67, 16]
Generated Node #2: [9, 67, 16] from Operation: 69-53=16
Current State: 77:[9, 67, 16], Operations: ['69-53=16']
Exploring Operation: 9*16=144, Resulting Numbers: [67, 144]
Generated Node #3: [67, 144] from Operation: 9*16=144
Current State: 77:[67, 144], Operations: ['69-53=16', '9*16=144']
Exploring Operation: 144-67=77, Resulting Numbers: [77]
77,77 equal: Goal Reached
| 4 |
[
15,
21,
79,
75
] | 81 | [
"79-75=4",
"15*4=60",
"21+60=81"
] | Current State: 81:[15, 21, 79, 75], Operations: []
Exploring Operation: 79-75=4, Resulting Numbers: [15, 21, 4]
Generated Node #2: [15, 21, 4] from Operation: 79-75=4
Current State: 81:[15, 21, 4], Operations: ['79-75=4']
Exploring Operation: 15*4=60, Resulting Numbers: [21, 60]
Generated Node #3: [21, 60] from Operation: 15*4=60
Current State: 81:[21, 60], Operations: ['79-75=4', '15*4=60']
Exploring Operation: 21+60=81, Resulting Numbers: [81]
81,81 equal: Goal Reached
| 4 |
[
24,
62,
7,
14
] | 40 | [
"62-24=38",
"14/7=2",
"38+2=40"
] | Current State: 40:[24, 62, 7, 14], Operations: []
Exploring Operation: 62-24=38, Resulting Numbers: [7, 14, 38]
Generated Node #2: [7, 14, 38] from Operation: 62-24=38
Current State: 40:[7, 14, 38], Operations: ['62-24=38']
Exploring Operation: 14/7=2, Resulting Numbers: [38, 2]
Generated Node #3: [38, 2] from Operation: 14/7=2
Current State: 40:[38, 2], Operations: ['62-24=38', '14/7=2']
Exploring Operation: 38+2=40, Resulting Numbers: [40]
40,40 equal: Goal Reached
| 4 |
[
46,
82,
33,
15
] | 54 | [
"82-46=36",
"33-15=18",
"36+18=54"
] | Current State: 54:[46, 82, 33, 15], Operations: []
Exploring Operation: 82-46=36, Resulting Numbers: [33, 15, 36]
Generated Node #2: [33, 15, 36] from Operation: 82-46=36
Current State: 54:[33, 15, 36], Operations: ['82-46=36']
Exploring Operation: 33-15=18, Resulting Numbers: [36, 18]
Generated Node #3: [36, 18] from Operation: 33-15=18
Current State: 54:[36, 18], Operations: ['82-46=36', '33-15=18']
Exploring Operation: 36+18=54, Resulting Numbers: [54]
54,54 equal: Goal Reached
| 4 |
[
32,
65,
74,
35
] | 58 | [
"32+65=97",
"74-35=39",
"97-39=58"
] | Current State: 58:[32, 65, 74, 35], Operations: []
Exploring Operation: 32+65=97, Resulting Numbers: [74, 35, 97]
Generated Node #2: [74, 35, 97] from Operation: 32+65=97
Current State: 58:[74, 35, 97], Operations: ['32+65=97']
Exploring Operation: 74-35=39, Resulting Numbers: [97, 39]
Generated Node #3: [97, 39] from Operation: 74-35=39
Current State: 58:[97, 39], Operations: ['32+65=97', '74-35=39']
Exploring Operation: 97-39=58, Resulting Numbers: [58]
58,58 equal: Goal Reached
| 4 |
[
41,
82,
85,
9
] | 68 | [
"41+85=126",
"126/9=14",
"82-14=68"
] | Current State: 68:[41, 82, 85, 9], Operations: []
Exploring Operation: 41+85=126, Resulting Numbers: [82, 9, 126]
Generated Node #2: [82, 9, 126] from Operation: 41+85=126
Current State: 68:[82, 9, 126], Operations: ['41+85=126']
Exploring Operation: 126/9=14, Resulting Numbers: [82, 14]
Generated Node #3: [82, 14] from Operation: 126/9=14
Current State: 68:[82, 14], Operations: ['41+85=126', '126/9=14']
Exploring Operation: 82-14=68, Resulting Numbers: [68]
68,68 equal: Goal Reached
| 4 |
[
2,
6,
16,
27
] | 47 | [
"6-2=4",
"16+27=43",
"4+43=47"
] | Current State: 47:[2, 6, 16, 27], Operations: []
Exploring Operation: 6-2=4, Resulting Numbers: [16, 27, 4]
Generated Node #2: [16, 27, 4] from Operation: 6-2=4
Current State: 47:[16, 27, 4], Operations: ['6-2=4']
Exploring Operation: 16+27=43, Resulting Numbers: [4, 43]
Generated Node #3: [4, 43] from Operation: 16+27=43
Current State: 47:[4, 43], Operations: ['6-2=4', '16+27=43']
Exploring Operation: 4+43=47, Resulting Numbers: [47]
47,47 equal: Goal Reached
| 4 |
[
41,
58,
21,
43
] | 77 | [
"41+58=99",
"43-21=22",
"99-22=77"
] | Current State: 77:[41, 58, 21, 43], Operations: []
Exploring Operation: 41+58=99, Resulting Numbers: [21, 43, 99]
Generated Node #2: [21, 43, 99] from Operation: 41+58=99
Current State: 77:[21, 43, 99], Operations: ['41+58=99']
Exploring Operation: 43-21=22, Resulting Numbers: [99, 22]
Generated Node #3: [99, 22] from Operation: 43-21=22
Current State: 77:[99, 22], Operations: ['41+58=99', '43-21=22']
Exploring Operation: 99-22=77, Resulting Numbers: [77]
77,77 equal: Goal Reached
| 4 |
[
17,
18,
36,
91
] | 57 | [
"17*36=612",
"612/18=34",
"91-34=57"
] | Current State: 57:[17, 18, 36, 91], Operations: []
Exploring Operation: 17*36=612, Resulting Numbers: [18, 91, 612]
Generated Node #2: [18, 91, 612] from Operation: 17*36=612
Current State: 57:[18, 91, 612], Operations: ['17*36=612']
Exploring Operation: 612/18=34, Resulting Numbers: [91, 34]
Generated Node #3: [91, 34] from Operation: 612/18=34
Current State: 57:[91, 34], Operations: ['17*36=612', '612/18=34']
Exploring Operation: 91-34=57, Resulting Numbers: [57]
57,57 equal: Goal Reached
| 4 |
[
21,
40,
12,
56
] | 25 | [
"40-21=19",
"56-12=44",
"44-19=25"
] | Current State: 25:[21, 40, 12, 56], Operations: []
Exploring Operation: 40-21=19, Resulting Numbers: [12, 56, 19]
Generated Node #2: [12, 56, 19] from Operation: 40-21=19
Current State: 25:[12, 56, 19], Operations: ['40-21=19']
Exploring Operation: 56-12=44, Resulting Numbers: [19, 44]
Generated Node #3: [19, 44] from Operation: 56-12=44
Current State: 25:[19, 44], Operations: ['40-21=19', '56-12=44']
Exploring Operation: 44-19=25, Resulting Numbers: [25]
25,25 equal: Goal Reached
| 4 |
[
98,
40,
95,
81
] | 47 | [
"95-81=14",
"98/14=7",
"40+7=47"
] | Current State: 47:[98, 40, 95, 81], Operations: []
Exploring Operation: 95-81=14, Resulting Numbers: [98, 40, 14]
Generated Node #2: [98, 40, 14] from Operation: 95-81=14
Current State: 47:[98, 40, 14], Operations: ['95-81=14']
Exploring Operation: 98/14=7, Resulting Numbers: [40, 7]
Generated Node #3: [40, 7] from Operation: 98/14=7
Current State: 47:[40, 7], Operations: ['95-81=14', '98/14=7']
Exploring Operation: 40+7=47, Resulting Numbers: [47]
47,47 equal: Goal Reached
| 4 |
[
20,
59,
45,
9
] | 74 | [
"20+59=79",
"45/9=5",
"79-5=74"
] | Current State: 74:[20, 59, 45, 9], Operations: []
Exploring Operation: 20+59=79, Resulting Numbers: [45, 9, 79]
Generated Node #2: [45, 9, 79] from Operation: 20+59=79
Current State: 74:[45, 9, 79], Operations: ['20+59=79']
Exploring Operation: 45/9=5, Resulting Numbers: [79, 5]
Generated Node #3: [79, 5] from Operation: 45/9=5
Current State: 74:[79, 5], Operations: ['20+59=79', '45/9=5']
Exploring Operation: 79-5=74, Resulting Numbers: [74]
74,74 equal: Goal Reached
| 4 |
[
60,
43,
78,
13
] | 82 | [
"60-43=17",
"78-13=65",
"17+65=82"
] | Current State: 82:[60, 43, 78, 13], Operations: []
Exploring Operation: 60-43=17, Resulting Numbers: [78, 13, 17]
Generated Node #2: [78, 13, 17] from Operation: 60-43=17
Current State: 82:[78, 13, 17], Operations: ['60-43=17']
Exploring Operation: 78-13=65, Resulting Numbers: [17, 65]
Generated Node #3: [17, 65] from Operation: 78-13=65
Current State: 82:[17, 65], Operations: ['60-43=17', '78-13=65']
Exploring Operation: 17+65=82, Resulting Numbers: [82]
82,82 equal: Goal Reached
| 4 |
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