nums listlengths 4 4 | target int64 10 100 | solution listlengths 3 3 | optimal_path stringlengths 282 529 | start_size int64 4 4 |
|---|---|---|---|---|
[
18,
35,
97,
12
] | 22 | [
"18-12=6",
"35+97=132",
"132/6=22"
] | Current State: 22:[18, 35, 97, 12], Operations: []
Exploring Operation: 18-12=6, Resulting Numbers: [35, 97, 6]
Generated Node #2: [35, 97, 6] from Operation: 18-12=6
Current State: 22:[35, 97, 6], Operations: ['18-12=6']
Exploring Operation: 35+97=132, Resulting Numbers: [6, 132]
Generated Node #3: [6, 132] from Operation: 35+97=132
Current State: 22:[6, 132], Operations: ['18-12=6', '35+97=132']
Exploring Operation: 132/6=22, Resulting Numbers: [22]
22,22 equal: Goal Reached
| 4 |
[
64,
21,
89,
19
] | 95 | [
"21*89=1869",
"1869-64=1805",
"1805/19=95"
] | Current State: 95:[64, 21, 89, 19], Operations: []
Exploring Operation: 21*89=1869, Resulting Numbers: [64, 19, 1869]
Generated Node #2: [64, 19, 1869] from Operation: 21*89=1869
Current State: 95:[64, 19, 1869], Operations: ['21*89=1869']
Exploring Operation: 1869-64=1805, Resulting Numbers: [19, 1805]
Generated Node #3: [19, 1805] from Operation: 1869-64=1805
Current State: 95:[19, 1805], Operations: ['21*89=1869', '1869-64=1805']
Exploring Operation: 1805/19=95, Resulting Numbers: [95]
95,95 equal: Goal Reached
| 4 |
[
99,
32,
53,
45
] | 32 | [
"99-53=46",
"46-45=1",
"32*1=32"
] | Current State: 32:[99, 32, 53, 45], Operations: []
Exploring Operation: 99-53=46, Resulting Numbers: [32, 45, 46]
Generated Node #2: [32, 45, 46] from Operation: 99-53=46
Current State: 32:[32, 45, 46], Operations: ['99-53=46']
Exploring Operation: 46-45=1, Resulting Numbers: [32, 1]
Generated Node #3: [32, 1] from Operation: 46-45=1
Current State: 32:[32, 1], Operations: ['99-53=46', '46-45=1']
Exploring Operation: 32*1=32, Resulting Numbers: [32]
32,32 equal: Goal Reached
| 4 |
[
6,
96,
30,
18
] | 38 | [
"18-6=12",
"96/12=8",
"30+8=38"
] | Current State: 38:[6, 96, 30, 18], Operations: []
Exploring Operation: 18-6=12, Resulting Numbers: [96, 30, 12]
Generated Node #2: [96, 30, 12] from Operation: 18-6=12
Current State: 38:[96, 30, 12], Operations: ['18-6=12']
Exploring Operation: 96/12=8, Resulting Numbers: [30, 8]
Generated Node #3: [30, 8] from Operation: 96/12=8
Current State: 38:[30, 8], Operations: ['18-6=12', '96/12=8']
Exploring Operation: 30+8=38, Resulting Numbers: [38]
38,38 equal: Goal Reached
| 4 |
[
37,
1,
8,
35
] | 17 | [
"37-35=2",
"8*2=16",
"1+16=17"
] | Current State: 17:[37, 1, 8, 35], Operations: []
Exploring Operation: 37-35=2, Resulting Numbers: [1, 8, 2]
Generated Node #2: [1, 8, 2] from Operation: 37-35=2
Current State: 17:[1, 8, 2], Operations: ['37-35=2']
Exploring Operation: 8*2=16, Resulting Numbers: [1, 16]
Generated Node #3: [1, 16] from Operation: 8*2=16
Current State: 17:[1, 16], Operations: ['37-35=2', '8*2=16']
Exploring Operation: 1+16=17, Resulting Numbers: [17]
17,17 equal: Goal Reached
| 4 |
[
23,
43,
15,
84
] | 69 | [
"23*84=1932",
"43-15=28",
"1932/28=69"
] | Current State: 69:[23, 43, 15, 84], Operations: []
Exploring Operation: 23*84=1932, Resulting Numbers: [43, 15, 1932]
Generated Node #2: [43, 15, 1932] from Operation: 23*84=1932
Current State: 69:[43, 15, 1932], Operations: ['23*84=1932']
Exploring Operation: 43-15=28, Resulting Numbers: [1932, 28]
Generated Node #3: [1932, 28] from Operation: 43-15=28
Current State: 69:[1932, 28], Operations: ['23*84=1932', '43-15=28']
Exploring Operation: 1932/28=69, Resulting Numbers: [69]
69,69 equal: Goal Reached
| 4 |
[
2,
57,
38,
3
] | 69 | [
"38-2=36",
"36/3=12",
"57+12=69"
] | Current State: 69:[2, 57, 38, 3], Operations: []
Exploring Operation: 38-2=36, Resulting Numbers: [57, 3, 36]
Generated Node #2: [57, 3, 36] from Operation: 38-2=36
Current State: 69:[57, 3, 36], Operations: ['38-2=36']
Exploring Operation: 36/3=12, Resulting Numbers: [57, 12]
Generated Node #3: [57, 12] from Operation: 36/3=12
Current State: 69:[57, 12], Operations: ['38-2=36', '36/3=12']
Exploring Operation: 57+12=69, Resulting Numbers: [69]
69,69 equal: Goal Reached
| 4 |
[
2,
79,
14,
38
] | 13 | [
"2*14=28",
"79-38=41",
"41-28=13"
] | Current State: 13:[2, 79, 14, 38], Operations: []
Exploring Operation: 2*14=28, Resulting Numbers: [79, 38, 28]
Generated Node #2: [79, 38, 28] from Operation: 2*14=28
Current State: 13:[79, 38, 28], Operations: ['2*14=28']
Exploring Operation: 79-38=41, Resulting Numbers: [28, 41]
Generated Node #3: [28, 41] from Operation: 79-38=41
Current State: 13:[28, 41], Operations: ['2*14=28', '79-38=41']
Exploring Operation: 41-28=13, Resulting Numbers: [13]
13,13 equal: Goal Reached
| 4 |
[
46,
48,
35,
4
] | 40 | [
"46-4=42",
"48*35=1680",
"1680/42=40"
] | Current State: 40:[46, 48, 35, 4], Operations: []
Exploring Operation: 46-4=42, Resulting Numbers: [48, 35, 42]
Generated Node #2: [48, 35, 42] from Operation: 46-4=42
Current State: 40:[48, 35, 42], Operations: ['46-4=42']
Exploring Operation: 48*35=1680, Resulting Numbers: [42, 1680]
Generated Node #3: [42, 1680] from Operation: 48*35=1680
Current State: 40:[42, 1680], Operations: ['46-4=42', '48*35=1680']
Exploring Operation: 1680/42=40, Resulting Numbers: [40]
40,40 equal: Goal Reached
| 4 |
[
65,
2,
30,
9
] | 58 | [
"65-9=56",
"56/2=28",
"30+28=58"
] | Current State: 58:[65, 2, 30, 9], Operations: []
Exploring Operation: 65-9=56, Resulting Numbers: [2, 30, 56]
Generated Node #2: [2, 30, 56] from Operation: 65-9=56
Current State: 58:[2, 30, 56], Operations: ['65-9=56']
Exploring Operation: 56/2=28, Resulting Numbers: [30, 28]
Generated Node #3: [30, 28] from Operation: 56/2=28
Current State: 58:[30, 28], Operations: ['65-9=56', '56/2=28']
Exploring Operation: 30+28=58, Resulting Numbers: [58]
58,58 equal: Goal Reached
| 4 |
[
69,
70,
68,
66
] | 63 | [
"70-68=2",
"66*2=132",
"132-69=63"
] | Current State: 63:[69, 70, 68, 66], Operations: []
Exploring Operation: 70-68=2, Resulting Numbers: [69, 66, 2]
Generated Node #2: [69, 66, 2] from Operation: 70-68=2
Current State: 63:[69, 66, 2], Operations: ['70-68=2']
Exploring Operation: 66*2=132, Resulting Numbers: [69, 132]
Generated Node #3: [69, 132] from Operation: 66*2=132
Current State: 63:[69, 132], Operations: ['70-68=2', '66*2=132']
Exploring Operation: 132-69=63, Resulting Numbers: [63]
63,63 equal: Goal Reached
| 4 |
[
78,
1,
57,
50
] | 84 | [
"78-1=77",
"57-50=7",
"77+7=84"
] | Current State: 84:[78, 1, 57, 50], Operations: []
Exploring Operation: 78-1=77, Resulting Numbers: [57, 50, 77]
Generated Node #2: [57, 50, 77] from Operation: 78-1=77
Current State: 84:[57, 50, 77], Operations: ['78-1=77']
Exploring Operation: 57-50=7, Resulting Numbers: [77, 7]
Generated Node #3: [77, 7] from Operation: 57-50=7
Current State: 84:[77, 7], Operations: ['78-1=77', '57-50=7']
Exploring Operation: 77+7=84, Resulting Numbers: [84]
84,84 equal: Goal Reached
| 4 |
[
14,
95,
53,
57
] | 77 | [
"95-14=81",
"57-53=4",
"81-4=77"
] | Current State: 77:[14, 95, 53, 57], Operations: []
Exploring Operation: 95-14=81, Resulting Numbers: [53, 57, 81]
Generated Node #2: [53, 57, 81] from Operation: 95-14=81
Current State: 77:[53, 57, 81], Operations: ['95-14=81']
Exploring Operation: 57-53=4, Resulting Numbers: [81, 4]
Generated Node #3: [81, 4] from Operation: 57-53=4
Current State: 77:[81, 4], Operations: ['95-14=81', '57-53=4']
Exploring Operation: 81-4=77, Resulting Numbers: [77]
77,77 equal: Goal Reached
| 4 |
[
30,
17,
12,
14
] | 12 | [
"30-17=13",
"14-13=1",
"12*1=12"
] | Current State: 12:[30, 17, 12, 14], Operations: []
Exploring Operation: 30-17=13, Resulting Numbers: [12, 14, 13]
Generated Node #2: [12, 14, 13] from Operation: 30-17=13
Current State: 12:[12, 14, 13], Operations: ['30-17=13']
Exploring Operation: 14-13=1, Resulting Numbers: [12, 1]
Generated Node #3: [12, 1] from Operation: 14-13=1
Current State: 12:[12, 1], Operations: ['30-17=13', '14-13=1']
Exploring Operation: 12*1=12, Resulting Numbers: [12]
12,12 equal: Goal Reached
| 4 |
[
47,
55,
56,
25
] | 65 | [
"55*56=3080",
"3080-25=3055",
"3055/47=65"
] | Current State: 65:[47, 55, 56, 25], Operations: []
Exploring Operation: 55*56=3080, Resulting Numbers: [47, 25, 3080]
Generated Node #2: [47, 25, 3080] from Operation: 55*56=3080
Current State: 65:[47, 25, 3080], Operations: ['55*56=3080']
Exploring Operation: 3080-25=3055, Resulting Numbers: [47, 3055]
Generated Node #3: [47, 3055] from Operation: 3080-25=3055
Current State: 65:[47, 3055], Operations: ['55*56=3080', '3080-25=3055']
Exploring Operation: 3055/47=65, Resulting Numbers: [65]
65,65 equal: Goal Reached
| 4 |
[
31,
39,
29,
8
] | 49 | [
"31+39=70",
"29-8=21",
"70-21=49"
] | Current State: 49:[31, 39, 29, 8], Operations: []
Exploring Operation: 31+39=70, Resulting Numbers: [29, 8, 70]
Generated Node #2: [29, 8, 70] from Operation: 31+39=70
Current State: 49:[29, 8, 70], Operations: ['31+39=70']
Exploring Operation: 29-8=21, Resulting Numbers: [70, 21]
Generated Node #3: [70, 21] from Operation: 29-8=21
Current State: 49:[70, 21], Operations: ['31+39=70', '29-8=21']
Exploring Operation: 70-21=49, Resulting Numbers: [49]
49,49 equal: Goal Reached
| 4 |
[
8,
52,
48,
13
] | 33 | [
"48/8=6",
"52-13=39",
"39-6=33"
] | Current State: 33:[8, 52, 48, 13], Operations: []
Exploring Operation: 48/8=6, Resulting Numbers: [52, 13, 6]
Generated Node #2: [52, 13, 6] from Operation: 48/8=6
Current State: 33:[52, 13, 6], Operations: ['48/8=6']
Exploring Operation: 52-13=39, Resulting Numbers: [6, 39]
Generated Node #3: [6, 39] from Operation: 52-13=39
Current State: 33:[6, 39], Operations: ['48/8=6', '52-13=39']
Exploring Operation: 39-6=33, Resulting Numbers: [33]
33,33 equal: Goal Reached
| 4 |
[
33,
81,
75,
3
] | 45 | [
"33+75=108",
"108/3=36",
"81-36=45"
] | Current State: 45:[33, 81, 75, 3], Operations: []
Exploring Operation: 33+75=108, Resulting Numbers: [81, 3, 108]
Generated Node #2: [81, 3, 108] from Operation: 33+75=108
Current State: 45:[81, 3, 108], Operations: ['33+75=108']
Exploring Operation: 108/3=36, Resulting Numbers: [81, 36]
Generated Node #3: [81, 36] from Operation: 108/3=36
Current State: 45:[81, 36], Operations: ['33+75=108', '108/3=36']
Exploring Operation: 81-36=45, Resulting Numbers: [45]
45,45 equal: Goal Reached
| 4 |
[
35,
5,
92,
44
] | 41 | [
"35/5=7",
"92-44=48",
"48-7=41"
] | Current State: 41:[35, 5, 92, 44], Operations: []
Exploring Operation: 35/5=7, Resulting Numbers: [92, 44, 7]
Generated Node #2: [92, 44, 7] from Operation: 35/5=7
Current State: 41:[92, 44, 7], Operations: ['35/5=7']
Exploring Operation: 92-44=48, Resulting Numbers: [7, 48]
Generated Node #3: [7, 48] from Operation: 92-44=48
Current State: 41:[7, 48], Operations: ['35/5=7', '92-44=48']
Exploring Operation: 48-7=41, Resulting Numbers: [41]
41,41 equal: Goal Reached
| 4 |
[
56,
7,
21,
3
] | 57 | [
"21/7=3",
"3/3=1",
"56+1=57"
] | Current State: 57:[56, 7, 21, 3], Operations: []
Exploring Operation: 21/7=3, Resulting Numbers: [56, 3, 3]
Generated Node #2: [56, 3, 3] from Operation: 21/7=3
Current State: 57:[56, 3, 3], Operations: ['21/7=3']
Exploring Operation: 3/3=1, Resulting Numbers: [56, 1]
Generated Node #3: [56, 1] from Operation: 3/3=1
Current State: 57:[56, 1], Operations: ['21/7=3', '3/3=1']
Exploring Operation: 56+1=57, Resulting Numbers: [57]
57,57 equal: Goal Reached
| 4 |
[
86,
84,
92,
60
] | 46 | [
"92-86=6",
"84/6=14",
"60-14=46"
] | Current State: 46:[86, 84, 92, 60], Operations: []
Exploring Operation: 92-86=6, Resulting Numbers: [84, 60, 6]
Generated Node #2: [84, 60, 6] from Operation: 92-86=6
Current State: 46:[84, 60, 6], Operations: ['92-86=6']
Exploring Operation: 84/6=14, Resulting Numbers: [60, 14]
Generated Node #3: [60, 14] from Operation: 84/6=14
Current State: 46:[60, 14], Operations: ['92-86=6', '84/6=14']
Exploring Operation: 60-14=46, Resulting Numbers: [46]
46,46 equal: Goal Reached
| 4 |
[
22,
77,
78,
83
] | 61 | [
"83-22=61",
"78-77=1",
"61*1=61"
] | Current State: 61:[22, 77, 78, 83], Operations: []
Exploring Operation: 83-22=61, Resulting Numbers: [77, 78, 61]
Generated Node #2: [77, 78, 61] from Operation: 83-22=61
Current State: 61:[77, 78, 61], Operations: ['83-22=61']
Exploring Operation: 78-77=1, Resulting Numbers: [61, 1]
Generated Node #3: [61, 1] from Operation: 78-77=1
Current State: 61:[61, 1], Operations: ['83-22=61', '78-77=1']
Exploring Operation: 61*1=61, Resulting Numbers: [61]
61,61 equal: Goal Reached
| 4 |
[
50,
76,
76,
42
] | 73 | [
"50+76=126",
"126/42=3",
"76-3=73"
] | Current State: 73:[50, 76, 76, 42], Operations: []
Exploring Operation: 50+76=126, Resulting Numbers: [42, 126]
Generated Node #2: [42, 126] from Operation: 50+76=126
Current State: 73:[42, 126], Operations: ['50+76=126']
Exploring Operation: 126/42=3, Resulting Numbers: [3]
3,73 equal: Goal Reached
Exploring Operation: 76-3=73, Resulting Numbers: [73]
73,73 equal: Goal Reached
| 4 |
[
57,
44,
84,
7
] | 10 | [
"57+44=101",
"84+7=91",
"101-91=10"
] | Current State: 10:[57, 44, 84, 7], Operations: []
Exploring Operation: 57+44=101, Resulting Numbers: [84, 7, 101]
Generated Node #2: [84, 7, 101] from Operation: 57+44=101
Current State: 10:[84, 7, 101], Operations: ['57+44=101']
Exploring Operation: 84+7=91, Resulting Numbers: [101, 91]
Generated Node #3: [101, 91] from Operation: 84+7=91
Current State: 10:[101, 91], Operations: ['57+44=101', '84+7=91']
Exploring Operation: 101-91=10, Resulting Numbers: [10]
10,10 equal: Goal Reached
| 4 |
[
75,
17,
73,
98
] | 67 | [
"75+17=92",
"98-73=25",
"92-25=67"
] | Current State: 67:[75, 17, 73, 98], Operations: []
Exploring Operation: 75+17=92, Resulting Numbers: [73, 98, 92]
Generated Node #2: [73, 98, 92] from Operation: 75+17=92
Current State: 67:[73, 98, 92], Operations: ['75+17=92']
Exploring Operation: 98-73=25, Resulting Numbers: [92, 25]
Generated Node #3: [92, 25] from Operation: 98-73=25
Current State: 67:[92, 25], Operations: ['75+17=92', '98-73=25']
Exploring Operation: 92-25=67, Resulting Numbers: [67]
67,67 equal: Goal Reached
| 4 |
[
52,
4,
5,
89
] | 29 | [
"52+4=56",
"89+56=145",
"145/5=29"
] | Current State: 29:[52, 4, 5, 89], Operations: []
Exploring Operation: 52+4=56, Resulting Numbers: [5, 89, 56]
Generated Node #2: [5, 89, 56] from Operation: 52+4=56
Current State: 29:[5, 89, 56], Operations: ['52+4=56']
Exploring Operation: 89+56=145, Resulting Numbers: [5, 145]
Generated Node #3: [5, 145] from Operation: 89+56=145
Current State: 29:[5, 145], Operations: ['52+4=56', '89+56=145']
Exploring Operation: 145/5=29, Resulting Numbers: [29]
29,29 equal: Goal Reached
| 4 |
[
90,
26,
74,
56
] | 22 | [
"26*74=1924",
"56+1924=1980",
"1980/90=22"
] | Current State: 22:[90, 26, 74, 56], Operations: []
Exploring Operation: 26*74=1924, Resulting Numbers: [90, 56, 1924]
Generated Node #2: [90, 56, 1924] from Operation: 26*74=1924
Current State: 22:[90, 56, 1924], Operations: ['26*74=1924']
Exploring Operation: 56+1924=1980, Resulting Numbers: [90, 1980]
Generated Node #3: [90, 1980] from Operation: 56+1924=1980
Current State: 22:[90, 1980], Operations: ['26*74=1924', '56+1924=1980']
Exploring Operation: 1980/90=22, Resulting Numbers: [22]
22,22 equal: Goal Reached
| 4 |
[
27,
67,
31,
37
] | 81 | [
"31-27=4",
"37*4=148",
"148-67=81"
] | Current State: 81:[27, 67, 31, 37], Operations: []
Exploring Operation: 31-27=4, Resulting Numbers: [67, 37, 4]
Generated Node #2: [67, 37, 4] from Operation: 31-27=4
Current State: 81:[67, 37, 4], Operations: ['31-27=4']
Exploring Operation: 37*4=148, Resulting Numbers: [67, 148]
Generated Node #3: [67, 148] from Operation: 37*4=148
Current State: 81:[67, 148], Operations: ['31-27=4', '37*4=148']
Exploring Operation: 148-67=81, Resulting Numbers: [81]
81,81 equal: Goal Reached
| 4 |
[
81,
62,
29,
16
] | 22 | [
"62*29=1798",
"1798-16=1782",
"1782/81=22"
] | Current State: 22:[81, 62, 29, 16], Operations: []
Exploring Operation: 62*29=1798, Resulting Numbers: [81, 16, 1798]
Generated Node #2: [81, 16, 1798] from Operation: 62*29=1798
Current State: 22:[81, 16, 1798], Operations: ['62*29=1798']
Exploring Operation: 1798-16=1782, Resulting Numbers: [81, 1782]
Generated Node #3: [81, 1782] from Operation: 1798-16=1782
Current State: 22:[81, 1782], Operations: ['62*29=1798', '1798-16=1782']
Exploring Operation: 1782/81=22, Resulting Numbers: [22]
22,22 equal: Goal Reached
| 4 |
[
45,
70,
10,
77
] | 28 | [
"45+70=115",
"10+77=87",
"115-87=28"
] | Current State: 28:[45, 70, 10, 77], Operations: []
Exploring Operation: 45+70=115, Resulting Numbers: [10, 77, 115]
Generated Node #2: [10, 77, 115] from Operation: 45+70=115
Current State: 28:[10, 77, 115], Operations: ['45+70=115']
Exploring Operation: 10+77=87, Resulting Numbers: [115, 87]
Generated Node #3: [115, 87] from Operation: 10+77=87
Current State: 28:[115, 87], Operations: ['45+70=115', '10+77=87']
Exploring Operation: 115-87=28, Resulting Numbers: [28]
28,28 equal: Goal Reached
| 4 |
[
18,
8,
94,
69
] | 51 | [
"18+8=26",
"94-69=25",
"26+25=51"
] | Current State: 51:[18, 8, 94, 69], Operations: []
Exploring Operation: 18+8=26, Resulting Numbers: [94, 69, 26]
Generated Node #2: [94, 69, 26] from Operation: 18+8=26
Current State: 51:[94, 69, 26], Operations: ['18+8=26']
Exploring Operation: 94-69=25, Resulting Numbers: [26, 25]
Generated Node #3: [26, 25] from Operation: 94-69=25
Current State: 51:[26, 25], Operations: ['18+8=26', '94-69=25']
Exploring Operation: 26+25=51, Resulting Numbers: [51]
51,51 equal: Goal Reached
| 4 |
[
61,
48,
53,
43
] | 59 | [
"53+43=96",
"96/48=2",
"61-2=59"
] | Current State: 59:[61, 48, 53, 43], Operations: []
Exploring Operation: 53+43=96, Resulting Numbers: [61, 48, 96]
Generated Node #2: [61, 48, 96] from Operation: 53+43=96
Current State: 59:[61, 48, 96], Operations: ['53+43=96']
Exploring Operation: 96/48=2, Resulting Numbers: [61, 2]
Generated Node #3: [61, 2] from Operation: 96/48=2
Current State: 59:[61, 2], Operations: ['53+43=96', '96/48=2']
Exploring Operation: 61-2=59, Resulting Numbers: [59]
59,59 equal: Goal Reached
| 4 |
[
17,
1,
67,
35
] | 39 | [
"1+67=68",
"68/17=4",
"35+4=39"
] | Current State: 39:[17, 1, 67, 35], Operations: []
Exploring Operation: 1+67=68, Resulting Numbers: [17, 35, 68]
Generated Node #2: [17, 35, 68] from Operation: 1+67=68
Current State: 39:[17, 35, 68], Operations: ['1+67=68']
Exploring Operation: 68/17=4, Resulting Numbers: [35, 4]
Generated Node #3: [35, 4] from Operation: 68/17=4
Current State: 39:[35, 4], Operations: ['1+67=68', '68/17=4']
Exploring Operation: 35+4=39, Resulting Numbers: [39]
39,39 equal: Goal Reached
| 4 |
[
8,
34,
52,
73
] | 99 | [
"34-8=26",
"52+73=125",
"125-26=99"
] | Current State: 99:[8, 34, 52, 73], Operations: []
Exploring Operation: 34-8=26, Resulting Numbers: [52, 73, 26]
Generated Node #2: [52, 73, 26] from Operation: 34-8=26
Current State: 99:[52, 73, 26], Operations: ['34-8=26']
Exploring Operation: 52+73=125, Resulting Numbers: [26, 125]
Generated Node #3: [26, 125] from Operation: 52+73=125
Current State: 99:[26, 125], Operations: ['34-8=26', '52+73=125']
Exploring Operation: 125-26=99, Resulting Numbers: [99]
99,99 equal: Goal Reached
| 4 |
[
54,
53,
9,
2
] | 34 | [
"53-9=44",
"2*44=88",
"88-54=34"
] | Current State: 34:[54, 53, 9, 2], Operations: []
Exploring Operation: 53-9=44, Resulting Numbers: [54, 2, 44]
Generated Node #2: [54, 2, 44] from Operation: 53-9=44
Current State: 34:[54, 2, 44], Operations: ['53-9=44']
Exploring Operation: 2*44=88, Resulting Numbers: [54, 88]
Generated Node #3: [54, 88] from Operation: 2*44=88
Current State: 34:[54, 88], Operations: ['53-9=44', '2*44=88']
Exploring Operation: 88-54=34, Resulting Numbers: [34]
34,34 equal: Goal Reached
| 4 |
[
40,
30,
44,
55
] | 81 | [
"40+30=70",
"55-44=11",
"70+11=81"
] | Current State: 81:[40, 30, 44, 55], Operations: []
Exploring Operation: 40+30=70, Resulting Numbers: [44, 55, 70]
Generated Node #2: [44, 55, 70] from Operation: 40+30=70
Current State: 81:[44, 55, 70], Operations: ['40+30=70']
Exploring Operation: 55-44=11, Resulting Numbers: [70, 11]
Generated Node #3: [70, 11] from Operation: 55-44=11
Current State: 81:[70, 11], Operations: ['40+30=70', '55-44=11']
Exploring Operation: 70+11=81, Resulting Numbers: [81]
81,81 equal: Goal Reached
| 4 |
[
60,
15,
1,
12
] | 36 | [
"60/15=4",
"4-1=3",
"12*3=36"
] | Current State: 36:[60, 15, 1, 12], Operations: []
Exploring Operation: 60/15=4, Resulting Numbers: [1, 12, 4]
Generated Node #2: [1, 12, 4] from Operation: 60/15=4
Current State: 36:[1, 12, 4], Operations: ['60/15=4']
Exploring Operation: 4-1=3, Resulting Numbers: [12, 3]
Generated Node #3: [12, 3] from Operation: 4-1=3
Current State: 36:[12, 3], Operations: ['60/15=4', '4-1=3']
Exploring Operation: 12*3=36, Resulting Numbers: [36]
36,36 equal: Goal Reached
| 4 |
[
33,
31,
40,
25
] | 36 | [
"33-25=8",
"40/8=5",
"31+5=36"
] | Current State: 36:[33, 31, 40, 25], Operations: []
Exploring Operation: 33-25=8, Resulting Numbers: [31, 40, 8]
Generated Node #2: [31, 40, 8] from Operation: 33-25=8
Current State: 36:[31, 40, 8], Operations: ['33-25=8']
Exploring Operation: 40/8=5, Resulting Numbers: [31, 5]
Generated Node #3: [31, 5] from Operation: 40/8=5
Current State: 36:[31, 5], Operations: ['33-25=8', '40/8=5']
Exploring Operation: 31+5=36, Resulting Numbers: [36]
36,36 equal: Goal Reached
| 4 |
[
44,
55,
16,
68
] | 41 | [
"55-44=11",
"68-16=52",
"52-11=41"
] | Current State: 41:[44, 55, 16, 68], Operations: []
Exploring Operation: 55-44=11, Resulting Numbers: [16, 68, 11]
Generated Node #2: [16, 68, 11] from Operation: 55-44=11
Current State: 41:[16, 68, 11], Operations: ['55-44=11']
Exploring Operation: 68-16=52, Resulting Numbers: [11, 52]
Generated Node #3: [11, 52] from Operation: 68-16=52
Current State: 41:[11, 52], Operations: ['55-44=11', '68-16=52']
Exploring Operation: 52-11=41, Resulting Numbers: [41]
41,41 equal: Goal Reached
| 4 |
[
33,
41,
89,
5
] | 59 | [
"41+89=130",
"130/5=26",
"33+26=59"
] | Current State: 59:[33, 41, 89, 5], Operations: []
Exploring Operation: 41+89=130, Resulting Numbers: [33, 5, 130]
Generated Node #2: [33, 5, 130] from Operation: 41+89=130
Current State: 59:[33, 5, 130], Operations: ['41+89=130']
Exploring Operation: 130/5=26, Resulting Numbers: [33, 26]
Generated Node #3: [33, 26] from Operation: 130/5=26
Current State: 59:[33, 26], Operations: ['41+89=130', '130/5=26']
Exploring Operation: 33+26=59, Resulting Numbers: [59]
59,59 equal: Goal Reached
| 4 |
[
68,
35,
51,
22
] | 40 | [
"68-35=33",
"51+22=73",
"73-33=40"
] | Current State: 40:[68, 35, 51, 22], Operations: []
Exploring Operation: 68-35=33, Resulting Numbers: [51, 22, 33]
Generated Node #2: [51, 22, 33] from Operation: 68-35=33
Current State: 40:[51, 22, 33], Operations: ['68-35=33']
Exploring Operation: 51+22=73, Resulting Numbers: [33, 73]
Generated Node #3: [33, 73] from Operation: 51+22=73
Current State: 40:[33, 73], Operations: ['68-35=33', '51+22=73']
Exploring Operation: 73-33=40, Resulting Numbers: [40]
40,40 equal: Goal Reached
| 4 |
[
73,
71,
52,
24
] | 58 | [
"73+71=144",
"144/24=6",
"52+6=58"
] | Current State: 58:[73, 71, 52, 24], Operations: []
Exploring Operation: 73+71=144, Resulting Numbers: [52, 24, 144]
Generated Node #2: [52, 24, 144] from Operation: 73+71=144
Current State: 58:[52, 24, 144], Operations: ['73+71=144']
Exploring Operation: 144/24=6, Resulting Numbers: [52, 6]
Generated Node #3: [52, 6] from Operation: 144/24=6
Current State: 58:[52, 6], Operations: ['73+71=144', '144/24=6']
Exploring Operation: 52+6=58, Resulting Numbers: [58]
58,58 equal: Goal Reached
| 4 |
[
25,
5,
58,
78
] | 21 | [
"78-58=20",
"20/5=4",
"25-4=21"
] | Current State: 21:[25, 5, 58, 78], Operations: []
Exploring Operation: 78-58=20, Resulting Numbers: [25, 5, 20]
Generated Node #2: [25, 5, 20] from Operation: 78-58=20
Current State: 21:[25, 5, 20], Operations: ['78-58=20']
Exploring Operation: 20/5=4, Resulting Numbers: [25, 4]
Generated Node #3: [25, 4] from Operation: 20/5=4
Current State: 21:[25, 4], Operations: ['78-58=20', '20/5=4']
Exploring Operation: 25-4=21, Resulting Numbers: [21]
21,21 equal: Goal Reached
| 4 |
[
74,
45,
1,
89
] | 31 | [
"74+45=119",
"89-1=88",
"119-88=31"
] | Current State: 31:[74, 45, 1, 89], Operations: []
Exploring Operation: 74+45=119, Resulting Numbers: [1, 89, 119]
Generated Node #2: [1, 89, 119] from Operation: 74+45=119
Current State: 31:[1, 89, 119], Operations: ['74+45=119']
Exploring Operation: 89-1=88, Resulting Numbers: [119, 88]
Generated Node #3: [119, 88] from Operation: 89-1=88
Current State: 31:[119, 88], Operations: ['74+45=119', '89-1=88']
Exploring Operation: 119-88=31, Resulting Numbers: [31]
31,31 equal: Goal Reached
| 4 |
[
80,
8,
16,
2
] | 24 | [
"80/8=10",
"16-2=14",
"10+14=24"
] | Current State: 24:[80, 8, 16, 2], Operations: []
Exploring Operation: 80/8=10, Resulting Numbers: [16, 2, 10]
Generated Node #2: [16, 2, 10] from Operation: 80/8=10
Current State: 24:[16, 2, 10], Operations: ['80/8=10']
Exploring Operation: 16-2=14, Resulting Numbers: [10, 14]
Generated Node #3: [10, 14] from Operation: 16-2=14
Current State: 24:[10, 14], Operations: ['80/8=10', '16-2=14']
Exploring Operation: 10+14=24, Resulting Numbers: [24]
24,24 equal: Goal Reached
| 4 |
[
65,
82,
80,
50
] | 80 | [
"82-80=2",
"65*2=130",
"130-50=80"
] | Current State: 80:[65, 82, 80, 50], Operations: []
Exploring Operation: 82-80=2, Resulting Numbers: [65, 50, 2]
Generated Node #2: [65, 50, 2] from Operation: 82-80=2
Current State: 80:[65, 50, 2], Operations: ['82-80=2']
Exploring Operation: 65*2=130, Resulting Numbers: [50, 130]
Generated Node #3: [50, 130] from Operation: 65*2=130
Current State: 80:[50, 130], Operations: ['82-80=2', '65*2=130']
Exploring Operation: 130-50=80, Resulting Numbers: [80]
80,80 equal: Goal Reached
| 4 |
[
10,
6,
11,
94
] | 22 | [
"10*11=110",
"94-6=88",
"110-88=22"
] | Current State: 22:[10, 6, 11, 94], Operations: []
Exploring Operation: 10*11=110, Resulting Numbers: [6, 94, 110]
Generated Node #2: [6, 94, 110] from Operation: 10*11=110
Current State: 22:[6, 94, 110], Operations: ['10*11=110']
Exploring Operation: 94-6=88, Resulting Numbers: [110, 88]
Generated Node #3: [110, 88] from Operation: 94-6=88
Current State: 22:[110, 88], Operations: ['10*11=110', '94-6=88']
Exploring Operation: 110-88=22, Resulting Numbers: [22]
22,22 equal: Goal Reached
| 4 |
[
35,
42,
90,
24
] | 65 | [
"35*42=1470",
"90+1470=1560",
"1560/24=65"
] | Current State: 65:[35, 42, 90, 24], Operations: []
Exploring Operation: 35*42=1470, Resulting Numbers: [90, 24, 1470]
Generated Node #2: [90, 24, 1470] from Operation: 35*42=1470
Current State: 65:[90, 24, 1470], Operations: ['35*42=1470']
Exploring Operation: 90+1470=1560, Resulting Numbers: [24, 1560]
Generated Node #3: [24, 1560] from Operation: 90+1470=1560
Current State: 65:[24, 1560], Operations: ['35*42=1470', '90+1470=1560']
Exploring Operation: 1560/24=65, Resulting Numbers: [65]
65,65 equal: Goal Reached
| 4 |
[
1,
62,
74,
38
] | 50 | [
"1*62=62",
"74+38=112",
"112-62=50"
] | Current State: 50:[1, 62, 74, 38], Operations: []
Exploring Operation: 1*62=62, Resulting Numbers: [74, 38, 62]
Generated Node #2: [74, 38, 62] from Operation: 1*62=62
Current State: 50:[74, 38, 62], Operations: ['1*62=62']
Exploring Operation: 74+38=112, Resulting Numbers: [62, 112]
Generated Node #3: [62, 112] from Operation: 74+38=112
Current State: 50:[62, 112], Operations: ['1*62=62', '74+38=112']
Exploring Operation: 112-62=50, Resulting Numbers: [50]
50,50 equal: Goal Reached
| 4 |
[
56,
70,
82,
25
] | 69 | [
"56+70=126",
"82-25=57",
"126-57=69"
] | Current State: 69:[56, 70, 82, 25], Operations: []
Exploring Operation: 56+70=126, Resulting Numbers: [82, 25, 126]
Generated Node #2: [82, 25, 126] from Operation: 56+70=126
Current State: 69:[82, 25, 126], Operations: ['56+70=126']
Exploring Operation: 82-25=57, Resulting Numbers: [126, 57]
Generated Node #3: [126, 57] from Operation: 82-25=57
Current State: 69:[126, 57], Operations: ['56+70=126', '82-25=57']
Exploring Operation: 126-57=69, Resulting Numbers: [69]
69,69 equal: Goal Reached
| 4 |
[
15,
68,
68,
3
] | 11 | [
"15-3=12",
"68/68=1",
"12-1=11"
] | Current State: 11:[15, 68, 68, 3], Operations: []
Exploring Operation: 15-3=12, Resulting Numbers: [68, 68, 12]
Generated Node #2: [68, 68, 12] from Operation: 15-3=12
Current State: 11:[68, 68, 12], Operations: ['15-3=12']
Exploring Operation: 68/68=1, Resulting Numbers: [12, 1]
Generated Node #3: [12, 1] from Operation: 68/68=1
Current State: 11:[12, 1], Operations: ['15-3=12', '68/68=1']
Exploring Operation: 12-1=11, Resulting Numbers: [11]
11,11 equal: Goal Reached
| 4 |
[
27,
82,
99,
51
] | 81 | [
"27*51=1377",
"99-82=17",
"1377/17=81"
] | Current State: 81:[27, 82, 99, 51], Operations: []
Exploring Operation: 27*51=1377, Resulting Numbers: [82, 99, 1377]
Generated Node #2: [82, 99, 1377] from Operation: 27*51=1377
Current State: 81:[82, 99, 1377], Operations: ['27*51=1377']
Exploring Operation: 99-82=17, Resulting Numbers: [1377, 17]
Generated Node #3: [1377, 17] from Operation: 99-82=17
Current State: 81:[1377, 17], Operations: ['27*51=1377', '99-82=17']
Exploring Operation: 1377/17=81, Resulting Numbers: [81]
81,81 equal: Goal Reached
| 4 |
[
38,
68,
70,
32
] | 51 | [
"70-68=2",
"38/2=19",
"32+19=51"
] | Current State: 51:[38, 68, 70, 32], Operations: []
Exploring Operation: 70-68=2, Resulting Numbers: [38, 32, 2]
Generated Node #2: [38, 32, 2] from Operation: 70-68=2
Current State: 51:[38, 32, 2], Operations: ['70-68=2']
Exploring Operation: 38/2=19, Resulting Numbers: [32, 19]
Generated Node #3: [32, 19] from Operation: 38/2=19
Current State: 51:[32, 19], Operations: ['70-68=2', '38/2=19']
Exploring Operation: 32+19=51, Resulting Numbers: [51]
51,51 equal: Goal Reached
| 4 |
[
71,
45,
44,
56
] | 14 | [
"71-45=26",
"56-44=12",
"26-12=14"
] | Current State: 14:[71, 45, 44, 56], Operations: []
Exploring Operation: 71-45=26, Resulting Numbers: [44, 56, 26]
Generated Node #2: [44, 56, 26] from Operation: 71-45=26
Current State: 14:[44, 56, 26], Operations: ['71-45=26']
Exploring Operation: 56-44=12, Resulting Numbers: [26, 12]
Generated Node #3: [26, 12] from Operation: 56-44=12
Current State: 14:[26, 12], Operations: ['71-45=26', '56-44=12']
Exploring Operation: 26-12=14, Resulting Numbers: [14]
14,14 equal: Goal Reached
| 4 |
[
6,
16,
48,
30
] | 10 | [
"48/16=3",
"6-3=3",
"30/3=10"
] | Current State: 10:[6, 16, 48, 30], Operations: []
Exploring Operation: 48/16=3, Resulting Numbers: [6, 30, 3]
Generated Node #2: [6, 30, 3] from Operation: 48/16=3
Current State: 10:[6, 30, 3], Operations: ['48/16=3']
Exploring Operation: 6-3=3, Resulting Numbers: [30, 3]
Generated Node #3: [30, 3] from Operation: 6-3=3
Current State: 10:[30, 3], Operations: ['48/16=3', '6-3=3']
Exploring Operation: 30/3=10, Resulting Numbers: [10]
10,10 equal: Goal Reached
| 4 |
[
7,
71,
34,
49
] | 34 | [
"71+34=105",
"105/7=15",
"49-15=34"
] | Current State: 34:[7, 71, 34, 49], Operations: []
Exploring Operation: 71+34=105, Resulting Numbers: [7, 49, 105]
Generated Node #2: [7, 49, 105] from Operation: 71+34=105
Current State: 34:[7, 49, 105], Operations: ['71+34=105']
Exploring Operation: 105/7=15, Resulting Numbers: [49, 15]
Generated Node #3: [49, 15] from Operation: 105/7=15
Current State: 34:[49, 15], Operations: ['71+34=105', '105/7=15']
Exploring Operation: 49-15=34, Resulting Numbers: [34]
34,34 equal: Goal Reached
| 4 |
[
53,
15,
23,
68
] | 56 | [
"68-23=45",
"45/15=3",
"53+3=56"
] | Current State: 56:[53, 15, 23, 68], Operations: []
Exploring Operation: 68-23=45, Resulting Numbers: [53, 15, 45]
Generated Node #2: [53, 15, 45] from Operation: 68-23=45
Current State: 56:[53, 15, 45], Operations: ['68-23=45']
Exploring Operation: 45/15=3, Resulting Numbers: [53, 3]
Generated Node #3: [53, 3] from Operation: 45/15=3
Current State: 56:[53, 3], Operations: ['68-23=45', '45/15=3']
Exploring Operation: 53+3=56, Resulting Numbers: [56]
56,56 equal: Goal Reached
| 4 |
[
48,
96,
5,
8
] | 26 | [
"96/48=2",
"5+8=13",
"2*13=26"
] | Current State: 26:[48, 96, 5, 8], Operations: []
Exploring Operation: 96/48=2, Resulting Numbers: [5, 8, 2]
Generated Node #2: [5, 8, 2] from Operation: 96/48=2
Current State: 26:[5, 8, 2], Operations: ['96/48=2']
Exploring Operation: 5+8=13, Resulting Numbers: [2, 13]
Generated Node #3: [2, 13] from Operation: 5+8=13
Current State: 26:[2, 13], Operations: ['96/48=2', '5+8=13']
Exploring Operation: 2*13=26, Resulting Numbers: [26]
26,26 equal: Goal Reached
| 4 |
[
90,
52,
22,
40
] | 24 | [
"90-52=38",
"22+40=62",
"62-38=24"
] | Current State: 24:[90, 52, 22, 40], Operations: []
Exploring Operation: 90-52=38, Resulting Numbers: [22, 40, 38]
Generated Node #2: [22, 40, 38] from Operation: 90-52=38
Current State: 24:[22, 40, 38], Operations: ['90-52=38']
Exploring Operation: 22+40=62, Resulting Numbers: [38, 62]
Generated Node #3: [38, 62] from Operation: 22+40=62
Current State: 24:[38, 62], Operations: ['90-52=38', '22+40=62']
Exploring Operation: 62-38=24, Resulting Numbers: [24]
24,24 equal: Goal Reached
| 4 |
[
32,
31,
37,
47
] | 73 | [
"32+31=63",
"47-37=10",
"63+10=73"
] | Current State: 73:[32, 31, 37, 47], Operations: []
Exploring Operation: 32+31=63, Resulting Numbers: [37, 47, 63]
Generated Node #2: [37, 47, 63] from Operation: 32+31=63
Current State: 73:[37, 47, 63], Operations: ['32+31=63']
Exploring Operation: 47-37=10, Resulting Numbers: [63, 10]
Generated Node #3: [63, 10] from Operation: 47-37=10
Current State: 73:[63, 10], Operations: ['32+31=63', '47-37=10']
Exploring Operation: 63+10=73, Resulting Numbers: [73]
73,73 equal: Goal Reached
| 4 |
[
78,
75,
12,
43
] | 52 | [
"78-75=3",
"12+43=55",
"55-3=52"
] | Current State: 52:[78, 75, 12, 43], Operations: []
Exploring Operation: 78-75=3, Resulting Numbers: [12, 43, 3]
Generated Node #2: [12, 43, 3] from Operation: 78-75=3
Current State: 52:[12, 43, 3], Operations: ['78-75=3']
Exploring Operation: 12+43=55, Resulting Numbers: [3, 55]
Generated Node #3: [3, 55] from Operation: 12+43=55
Current State: 52:[3, 55], Operations: ['78-75=3', '12+43=55']
Exploring Operation: 55-3=52, Resulting Numbers: [52]
52,52 equal: Goal Reached
| 4 |
[
84,
57,
34,
52
] | 48 | [
"84*52=4368",
"57+34=91",
"4368/91=48"
] | Current State: 48:[84, 57, 34, 52], Operations: []
Exploring Operation: 84*52=4368, Resulting Numbers: [57, 34, 4368]
Generated Node #2: [57, 34, 4368] from Operation: 84*52=4368
Current State: 48:[57, 34, 4368], Operations: ['84*52=4368']
Exploring Operation: 57+34=91, Resulting Numbers: [4368, 91]
Generated Node #3: [4368, 91] from Operation: 57+34=91
Current State: 48:[4368, 91], Operations: ['84*52=4368', '57+34=91']
Exploring Operation: 4368/91=48, Resulting Numbers: [48]
48,48 equal: Goal Reached
| 4 |
[
15,
36,
39,
3
] | 32 | [
"36-15=21",
"21/3=7",
"39-7=32"
] | Current State: 32:[15, 36, 39, 3], Operations: []
Exploring Operation: 36-15=21, Resulting Numbers: [39, 3, 21]
Generated Node #2: [39, 3, 21] from Operation: 36-15=21
Current State: 32:[39, 3, 21], Operations: ['36-15=21']
Exploring Operation: 21/3=7, Resulting Numbers: [39, 7]
Generated Node #3: [39, 7] from Operation: 21/3=7
Current State: 32:[39, 7], Operations: ['36-15=21', '21/3=7']
Exploring Operation: 39-7=32, Resulting Numbers: [32]
32,32 equal: Goal Reached
| 4 |
[
15,
86,
17,
14
] | 81 | [
"17-14=3",
"15/3=5",
"86-5=81"
] | Current State: 81:[15, 86, 17, 14], Operations: []
Exploring Operation: 17-14=3, Resulting Numbers: [15, 86, 3]
Generated Node #2: [15, 86, 3] from Operation: 17-14=3
Current State: 81:[15, 86, 3], Operations: ['17-14=3']
Exploring Operation: 15/3=5, Resulting Numbers: [86, 5]
Generated Node #3: [86, 5] from Operation: 15/3=5
Current State: 81:[86, 5], Operations: ['17-14=3', '15/3=5']
Exploring Operation: 86-5=81, Resulting Numbers: [81]
81,81 equal: Goal Reached
| 4 |
[
39,
29,
43,
42
] | 46 | [
"42-29=13",
"39/13=3",
"43+3=46"
] | Current State: 46:[39, 29, 43, 42], Operations: []
Exploring Operation: 42-29=13, Resulting Numbers: [39, 43, 13]
Generated Node #2: [39, 43, 13] from Operation: 42-29=13
Current State: 46:[39, 43, 13], Operations: ['42-29=13']
Exploring Operation: 39/13=3, Resulting Numbers: [43, 3]
Generated Node #3: [43, 3] from Operation: 39/13=3
Current State: 46:[43, 3], Operations: ['42-29=13', '39/13=3']
Exploring Operation: 43+3=46, Resulting Numbers: [46]
46,46 equal: Goal Reached
| 4 |
[
42,
49,
19,
40
] | 32 | [
"42+49=91",
"19+40=59",
"91-59=32"
] | Current State: 32:[42, 49, 19, 40], Operations: []
Exploring Operation: 42+49=91, Resulting Numbers: [19, 40, 91]
Generated Node #2: [19, 40, 91] from Operation: 42+49=91
Current State: 32:[19, 40, 91], Operations: ['42+49=91']
Exploring Operation: 19+40=59, Resulting Numbers: [91, 59]
Generated Node #3: [91, 59] from Operation: 19+40=59
Current State: 32:[91, 59], Operations: ['42+49=91', '19+40=59']
Exploring Operation: 91-59=32, Resulting Numbers: [32]
32,32 equal: Goal Reached
| 4 |
[
27,
94,
2,
91
] | 79 | [
"94-27=67",
"91+67=158",
"158/2=79"
] | Current State: 79:[27, 94, 2, 91], Operations: []
Exploring Operation: 94-27=67, Resulting Numbers: [2, 91, 67]
Generated Node #2: [2, 91, 67] from Operation: 94-27=67
Current State: 79:[2, 91, 67], Operations: ['94-27=67']
Exploring Operation: 91+67=158, Resulting Numbers: [2, 158]
Generated Node #3: [2, 158] from Operation: 91+67=158
Current State: 79:[2, 158], Operations: ['94-27=67', '91+67=158']
Exploring Operation: 158/2=79, Resulting Numbers: [79]
79,79 equal: Goal Reached
| 4 |
[
36,
72,
32,
8
] | 24 | [
"72/36=2",
"32/2=16",
"8+16=24"
] | Current State: 24:[36, 72, 32, 8], Operations: []
Exploring Operation: 72/36=2, Resulting Numbers: [32, 8, 2]
Generated Node #2: [32, 8, 2] from Operation: 72/36=2
Current State: 24:[32, 8, 2], Operations: ['72/36=2']
Exploring Operation: 32/2=16, Resulting Numbers: [8, 16]
Generated Node #3: [8, 16] from Operation: 32/2=16
Current State: 24:[8, 16], Operations: ['72/36=2', '32/2=16']
Exploring Operation: 8+16=24, Resulting Numbers: [24]
24,24 equal: Goal Reached
| 4 |
[
38,
6,
25,
10
] | 88 | [
"38-25=13",
"6*13=78",
"10+78=88"
] | Current State: 88:[38, 6, 25, 10], Operations: []
Exploring Operation: 38-25=13, Resulting Numbers: [6, 10, 13]
Generated Node #2: [6, 10, 13] from Operation: 38-25=13
Current State: 88:[6, 10, 13], Operations: ['38-25=13']
Exploring Operation: 6*13=78, Resulting Numbers: [10, 78]
Generated Node #3: [10, 78] from Operation: 6*13=78
Current State: 88:[10, 78], Operations: ['38-25=13', '6*13=78']
Exploring Operation: 10+78=88, Resulting Numbers: [88]
88,88 equal: Goal Reached
| 4 |
[
39,
60,
24,
24
] | 98 | [
"39+60=99",
"24/24=1",
"99-1=98"
] | Current State: 98:[39, 60, 24, 24], Operations: []
Exploring Operation: 39+60=99, Resulting Numbers: [24, 24, 99]
Generated Node #2: [24, 24, 99] from Operation: 39+60=99
Current State: 98:[24, 24, 99], Operations: ['39+60=99']
Exploring Operation: 24/24=1, Resulting Numbers: [99, 1]
Generated Node #3: [99, 1] from Operation: 24/24=1
Current State: 98:[99, 1], Operations: ['39+60=99', '24/24=1']
Exploring Operation: 99-1=98, Resulting Numbers: [98]
98,98 equal: Goal Reached
| 4 |
[
37,
72,
40,
22
] | 97 | [
"72-37=35",
"40+22=62",
"35+62=97"
] | Current State: 97:[37, 72, 40, 22], Operations: []
Exploring Operation: 72-37=35, Resulting Numbers: [40, 22, 35]
Generated Node #2: [40, 22, 35] from Operation: 72-37=35
Current State: 97:[40, 22, 35], Operations: ['72-37=35']
Exploring Operation: 40+22=62, Resulting Numbers: [35, 62]
Generated Node #3: [35, 62] from Operation: 40+22=62
Current State: 97:[35, 62], Operations: ['72-37=35', '40+22=62']
Exploring Operation: 35+62=97, Resulting Numbers: [97]
97,97 equal: Goal Reached
| 4 |
[
6,
33,
11,
16
] | 93 | [
"6*16=96",
"33/11=3",
"96-3=93"
] | Current State: 93:[6, 33, 11, 16], Operations: []
Exploring Operation: 6*16=96, Resulting Numbers: [33, 11, 96]
Generated Node #2: [33, 11, 96] from Operation: 6*16=96
Current State: 93:[33, 11, 96], Operations: ['6*16=96']
Exploring Operation: 33/11=3, Resulting Numbers: [96, 3]
Generated Node #3: [96, 3] from Operation: 33/11=3
Current State: 93:[96, 3], Operations: ['6*16=96', '33/11=3']
Exploring Operation: 96-3=93, Resulting Numbers: [93]
93,93 equal: Goal Reached
| 4 |
[
29,
92,
26,
84
] | 44 | [
"29*84=2436",
"92*26=2392",
"2436-2392=44"
] | Current State: 44:[29, 92, 26, 84], Operations: []
Exploring Operation: 29*84=2436, Resulting Numbers: [92, 26, 2436]
Generated Node #2: [92, 26, 2436] from Operation: 29*84=2436
Current State: 44:[92, 26, 2436], Operations: ['29*84=2436']
Exploring Operation: 92*26=2392, Resulting Numbers: [2436, 2392]
Generated Node #3: [2436, 2392] from Operation: 92*26=2392
Current State: 44:[2436, 2392], Operations: ['29*84=2436', '92*26=2392']
Exploring Operation: 2436-2392=44, Resulting Numbers: [44]
44,44 equal: Goal Reached
| 4 |
[
26,
64,
86,
62
] | 30 | [
"86-26=60",
"64-62=2",
"60/2=30"
] | Current State: 30:[26, 64, 86, 62], Operations: []
Exploring Operation: 86-26=60, Resulting Numbers: [64, 62, 60]
Generated Node #2: [64, 62, 60] from Operation: 86-26=60
Current State: 30:[64, 62, 60], Operations: ['86-26=60']
Exploring Operation: 64-62=2, Resulting Numbers: [60, 2]
Generated Node #3: [60, 2] from Operation: 64-62=2
Current State: 30:[60, 2], Operations: ['86-26=60', '64-62=2']
Exploring Operation: 60/2=30, Resulting Numbers: [30]
30,30 equal: Goal Reached
| 4 |
[
5,
52,
80,
61
] | 25 | [
"80/5=16",
"61-52=9",
"16+9=25"
] | Current State: 25:[5, 52, 80, 61], Operations: []
Exploring Operation: 80/5=16, Resulting Numbers: [52, 61, 16]
Generated Node #2: [52, 61, 16] from Operation: 80/5=16
Current State: 25:[52, 61, 16], Operations: ['80/5=16']
Exploring Operation: 61-52=9, Resulting Numbers: [16, 9]
Generated Node #3: [16, 9] from Operation: 61-52=9
Current State: 25:[16, 9], Operations: ['80/5=16', '61-52=9']
Exploring Operation: 16+9=25, Resulting Numbers: [25]
25,25 equal: Goal Reached
| 4 |
[
63,
14,
42,
30
] | 27 | [
"42/14=3",
"30*3=90",
"90-63=27"
] | Current State: 27:[63, 14, 42, 30], Operations: []
Exploring Operation: 42/14=3, Resulting Numbers: [63, 30, 3]
Generated Node #2: [63, 30, 3] from Operation: 42/14=3
Current State: 27:[63, 30, 3], Operations: ['42/14=3']
Exploring Operation: 30*3=90, Resulting Numbers: [63, 90]
Generated Node #3: [63, 90] from Operation: 30*3=90
Current State: 27:[63, 90], Operations: ['42/14=3', '30*3=90']
Exploring Operation: 90-63=27, Resulting Numbers: [27]
27,27 equal: Goal Reached
| 4 |
[
28,
88,
79,
86
] | 22 | [
"86-79=7",
"28/7=4",
"88/4=22"
] | Current State: 22:[28, 88, 79, 86], Operations: []
Exploring Operation: 86-79=7, Resulting Numbers: [28, 88, 7]
Generated Node #2: [28, 88, 7] from Operation: 86-79=7
Current State: 22:[28, 88, 7], Operations: ['86-79=7']
Exploring Operation: 28/7=4, Resulting Numbers: [88, 4]
Generated Node #3: [88, 4] from Operation: 28/7=4
Current State: 22:[88, 4], Operations: ['86-79=7', '28/7=4']
Exploring Operation: 88/4=22, Resulting Numbers: [22]
22,22 equal: Goal Reached
| 4 |
[
82,
37,
90,
23
] | 52 | [
"82+37=119",
"90-23=67",
"119-67=52"
] | Current State: 52:[82, 37, 90, 23], Operations: []
Exploring Operation: 82+37=119, Resulting Numbers: [90, 23, 119]
Generated Node #2: [90, 23, 119] from Operation: 82+37=119
Current State: 52:[90, 23, 119], Operations: ['82+37=119']
Exploring Operation: 90-23=67, Resulting Numbers: [119, 67]
Generated Node #3: [119, 67] from Operation: 90-23=67
Current State: 52:[119, 67], Operations: ['82+37=119', '90-23=67']
Exploring Operation: 119-67=52, Resulting Numbers: [52]
52,52 equal: Goal Reached
| 4 |
[
62,
35,
4,
55
] | 32 | [
"62-35=27",
"4+55=59",
"59-27=32"
] | Current State: 32:[62, 35, 4, 55], Operations: []
Exploring Operation: 62-35=27, Resulting Numbers: [4, 55, 27]
Generated Node #2: [4, 55, 27] from Operation: 62-35=27
Current State: 32:[4, 55, 27], Operations: ['62-35=27']
Exploring Operation: 4+55=59, Resulting Numbers: [27, 59]
Generated Node #3: [27, 59] from Operation: 4+55=59
Current State: 32:[27, 59], Operations: ['62-35=27', '4+55=59']
Exploring Operation: 59-27=32, Resulting Numbers: [32]
32,32 equal: Goal Reached
| 4 |
[
70,
25,
57,
14
] | 88 | [
"70-25=45",
"57-14=43",
"45+43=88"
] | Current State: 88:[70, 25, 57, 14], Operations: []
Exploring Operation: 70-25=45, Resulting Numbers: [57, 14, 45]
Generated Node #2: [57, 14, 45] from Operation: 70-25=45
Current State: 88:[57, 14, 45], Operations: ['70-25=45']
Exploring Operation: 57-14=43, Resulting Numbers: [45, 43]
Generated Node #3: [45, 43] from Operation: 57-14=43
Current State: 88:[45, 43], Operations: ['70-25=45', '57-14=43']
Exploring Operation: 45+43=88, Resulting Numbers: [88]
88,88 equal: Goal Reached
| 4 |
[
71,
2,
86,
69
] | 86 | [
"71-2=69",
"86+69=155",
"155-69=86"
] | Current State: 86:[71, 2, 86, 69], Operations: []
Exploring Operation: 71-2=69, Resulting Numbers: [86, 69, 69]
Generated Node #2: [86, 69, 69] from Operation: 71-2=69
Current State: 86:[86, 69, 69], Operations: ['71-2=69']
Exploring Operation: 86+69=155, Resulting Numbers: [155]
155,86 equal: Goal Reached
Exploring Operation: 155-69=86, Resulting Numbers: [86]
86,86 equal: Goal Reached
| 4 |
[
33,
8,
13,
66
] | 88 | [
"66/33=2",
"13-2=11",
"8*11=88"
] | Current State: 88:[33, 8, 13, 66], Operations: []
Exploring Operation: 66/33=2, Resulting Numbers: [8, 13, 2]
Generated Node #2: [8, 13, 2] from Operation: 66/33=2
Current State: 88:[8, 13, 2], Operations: ['66/33=2']
Exploring Operation: 13-2=11, Resulting Numbers: [8, 11]
Generated Node #3: [8, 11] from Operation: 13-2=11
Current State: 88:[8, 11], Operations: ['66/33=2', '13-2=11']
Exploring Operation: 8*11=88, Resulting Numbers: [88]
88,88 equal: Goal Reached
| 4 |
[
74,
40,
75,
50
] | 10 | [
"75-74=1",
"50-40=10",
"1*10=10"
] | Current State: 10:[74, 40, 75, 50], Operations: []
Exploring Operation: 75-74=1, Resulting Numbers: [40, 50, 1]
Generated Node #2: [40, 50, 1] from Operation: 75-74=1
Current State: 10:[40, 50, 1], Operations: ['75-74=1']
Exploring Operation: 50-40=10, Resulting Numbers: [1, 10]
Generated Node #3: [1, 10] from Operation: 50-40=10
Current State: 10:[1, 10], Operations: ['75-74=1', '50-40=10']
Exploring Operation: 1*10=10, Resulting Numbers: [10]
10,10 equal: Goal Reached
| 4 |
[
56,
48,
95,
3
] | 85 | [
"95-48=47",
"3*47=141",
"141-56=85"
] | Current State: 85:[56, 48, 95, 3], Operations: []
Exploring Operation: 95-48=47, Resulting Numbers: [56, 3, 47]
Generated Node #2: [56, 3, 47] from Operation: 95-48=47
Current State: 85:[56, 3, 47], Operations: ['95-48=47']
Exploring Operation: 3*47=141, Resulting Numbers: [56, 141]
Generated Node #3: [56, 141] from Operation: 3*47=141
Current State: 85:[56, 141], Operations: ['95-48=47', '3*47=141']
Exploring Operation: 141-56=85, Resulting Numbers: [85]
85,85 equal: Goal Reached
| 4 |
[
36,
71,
67,
23
] | 14 | [
"71-67=4",
"36/4=9",
"23-9=14"
] | Current State: 14:[36, 71, 67, 23], Operations: []
Exploring Operation: 71-67=4, Resulting Numbers: [36, 23, 4]
Generated Node #2: [36, 23, 4] from Operation: 71-67=4
Current State: 14:[36, 23, 4], Operations: ['71-67=4']
Exploring Operation: 36/4=9, Resulting Numbers: [23, 9]
Generated Node #3: [23, 9] from Operation: 36/4=9
Current State: 14:[23, 9], Operations: ['71-67=4', '36/4=9']
Exploring Operation: 23-9=14, Resulting Numbers: [14]
14,14 equal: Goal Reached
| 4 |
[
89,
18,
11,
97
] | 56 | [
"97-89=8",
"18-11=7",
"8*7=56"
] | Current State: 56:[89, 18, 11, 97], Operations: []
Exploring Operation: 97-89=8, Resulting Numbers: [18, 11, 8]
Generated Node #2: [18, 11, 8] from Operation: 97-89=8
Current State: 56:[18, 11, 8], Operations: ['97-89=8']
Exploring Operation: 18-11=7, Resulting Numbers: [8, 7]
Generated Node #3: [8, 7] from Operation: 18-11=7
Current State: 56:[8, 7], Operations: ['97-89=8', '18-11=7']
Exploring Operation: 8*7=56, Resulting Numbers: [56]
56,56 equal: Goal Reached
| 4 |
[
35,
27,
31,
71
] | 48 | [
"35-27=8",
"71-31=40",
"8+40=48"
] | Current State: 48:[35, 27, 31, 71], Operations: []
Exploring Operation: 35-27=8, Resulting Numbers: [31, 71, 8]
Generated Node #2: [31, 71, 8] from Operation: 35-27=8
Current State: 48:[31, 71, 8], Operations: ['35-27=8']
Exploring Operation: 71-31=40, Resulting Numbers: [8, 40]
Generated Node #3: [8, 40] from Operation: 71-31=40
Current State: 48:[8, 40], Operations: ['35-27=8', '71-31=40']
Exploring Operation: 8+40=48, Resulting Numbers: [48]
48,48 equal: Goal Reached
| 4 |
[
89,
34,
65,
6
] | 64 | [
"89+34=123",
"65-6=59",
"123-59=64"
] | Current State: 64:[89, 34, 65, 6], Operations: []
Exploring Operation: 89+34=123, Resulting Numbers: [65, 6, 123]
Generated Node #2: [65, 6, 123] from Operation: 89+34=123
Current State: 64:[65, 6, 123], Operations: ['89+34=123']
Exploring Operation: 65-6=59, Resulting Numbers: [123, 59]
Generated Node #3: [123, 59] from Operation: 65-6=59
Current State: 64:[123, 59], Operations: ['89+34=123', '65-6=59']
Exploring Operation: 123-59=64, Resulting Numbers: [64]
64,64 equal: Goal Reached
| 4 |
[
31,
69,
1,
89
] | 12 | [
"31+69=100",
"89-1=88",
"100-88=12"
] | Current State: 12:[31, 69, 1, 89], Operations: []
Exploring Operation: 31+69=100, Resulting Numbers: [1, 89, 100]
Generated Node #2: [1, 89, 100] from Operation: 31+69=100
Current State: 12:[1, 89, 100], Operations: ['31+69=100']
Exploring Operation: 89-1=88, Resulting Numbers: [100, 88]
Generated Node #3: [100, 88] from Operation: 89-1=88
Current State: 12:[100, 88], Operations: ['31+69=100', '89-1=88']
Exploring Operation: 100-88=12, Resulting Numbers: [12]
12,12 equal: Goal Reached
| 4 |
[
69,
73,
95,
74
] | 54 | [
"74-69=5",
"95/5=19",
"73-19=54"
] | Current State: 54:[69, 73, 95, 74], Operations: []
Exploring Operation: 74-69=5, Resulting Numbers: [73, 95, 5]
Generated Node #2: [73, 95, 5] from Operation: 74-69=5
Current State: 54:[73, 95, 5], Operations: ['74-69=5']
Exploring Operation: 95/5=19, Resulting Numbers: [73, 19]
Generated Node #3: [73, 19] from Operation: 95/5=19
Current State: 54:[73, 19], Operations: ['74-69=5', '95/5=19']
Exploring Operation: 73-19=54, Resulting Numbers: [54]
54,54 equal: Goal Reached
| 4 |
[
6,
27,
65,
78
] | 22 | [
"6*65=390",
"390/78=5",
"27-5=22"
] | Current State: 22:[6, 27, 65, 78], Operations: []
Exploring Operation: 6*65=390, Resulting Numbers: [27, 78, 390]
Generated Node #2: [27, 78, 390] from Operation: 6*65=390
Current State: 22:[27, 78, 390], Operations: ['6*65=390']
Exploring Operation: 390/78=5, Resulting Numbers: [27, 5]
Generated Node #3: [27, 5] from Operation: 390/78=5
Current State: 22:[27, 5], Operations: ['6*65=390', '390/78=5']
Exploring Operation: 27-5=22, Resulting Numbers: [22]
22,22 equal: Goal Reached
| 4 |
[
47,
89,
3,
70
] | 25 | [
"89-47=42",
"70-3=67",
"67-42=25"
] | Current State: 25:[47, 89, 3, 70], Operations: []
Exploring Operation: 89-47=42, Resulting Numbers: [3, 70, 42]
Generated Node #2: [3, 70, 42] from Operation: 89-47=42
Current State: 25:[3, 70, 42], Operations: ['89-47=42']
Exploring Operation: 70-3=67, Resulting Numbers: [42, 67]
Generated Node #3: [42, 67] from Operation: 70-3=67
Current State: 25:[42, 67], Operations: ['89-47=42', '70-3=67']
Exploring Operation: 67-42=25, Resulting Numbers: [25]
25,25 equal: Goal Reached
| 4 |
[
73,
45,
22,
31
] | 37 | [
"73-45=28",
"31-22=9",
"28+9=37"
] | Current State: 37:[73, 45, 22, 31], Operations: []
Exploring Operation: 73-45=28, Resulting Numbers: [22, 31, 28]
Generated Node #2: [22, 31, 28] from Operation: 73-45=28
Current State: 37:[22, 31, 28], Operations: ['73-45=28']
Exploring Operation: 31-22=9, Resulting Numbers: [28, 9]
Generated Node #3: [28, 9] from Operation: 31-22=9
Current State: 37:[28, 9], Operations: ['73-45=28', '31-22=9']
Exploring Operation: 28+9=37, Resulting Numbers: [37]
37,37 equal: Goal Reached
| 4 |
[
72,
74,
78,
4
] | 41 | [
"74-72=2",
"78+4=82",
"82/2=41"
] | Current State: 41:[72, 74, 78, 4], Operations: []
Exploring Operation: 74-72=2, Resulting Numbers: [78, 4, 2]
Generated Node #2: [78, 4, 2] from Operation: 74-72=2
Current State: 41:[78, 4, 2], Operations: ['74-72=2']
Exploring Operation: 78+4=82, Resulting Numbers: [2, 82]
Generated Node #3: [2, 82] from Operation: 78+4=82
Current State: 41:[2, 82], Operations: ['74-72=2', '78+4=82']
Exploring Operation: 82/2=41, Resulting Numbers: [41]
41,41 equal: Goal Reached
| 4 |
[
56,
25,
50,
38
] | 93 | [
"56+25=81",
"50-38=12",
"81+12=93"
] | Current State: 93:[56, 25, 50, 38], Operations: []
Exploring Operation: 56+25=81, Resulting Numbers: [50, 38, 81]
Generated Node #2: [50, 38, 81] from Operation: 56+25=81
Current State: 93:[50, 38, 81], Operations: ['56+25=81']
Exploring Operation: 50-38=12, Resulting Numbers: [81, 12]
Generated Node #3: [81, 12] from Operation: 50-38=12
Current State: 93:[81, 12], Operations: ['56+25=81', '50-38=12']
Exploring Operation: 81+12=93, Resulting Numbers: [93]
93,93 equal: Goal Reached
| 4 |
[
27,
90,
44,
23
] | 42 | [
"90-27=63",
"44-23=21",
"63-21=42"
] | Current State: 42:[27, 90, 44, 23], Operations: []
Exploring Operation: 90-27=63, Resulting Numbers: [44, 23, 63]
Generated Node #2: [44, 23, 63] from Operation: 90-27=63
Current State: 42:[44, 23, 63], Operations: ['90-27=63']
Exploring Operation: 44-23=21, Resulting Numbers: [63, 21]
Generated Node #3: [63, 21] from Operation: 44-23=21
Current State: 42:[63, 21], Operations: ['90-27=63', '44-23=21']
Exploring Operation: 63-21=42, Resulting Numbers: [42]
42,42 equal: Goal Reached
| 4 |
[
69,
85,
18,
7
] | 40 | [
"69+85=154",
"154/7=22",
"18+22=40"
] | Current State: 40:[69, 85, 18, 7], Operations: []
Exploring Operation: 69+85=154, Resulting Numbers: [18, 7, 154]
Generated Node #2: [18, 7, 154] from Operation: 69+85=154
Current State: 40:[18, 7, 154], Operations: ['69+85=154']
Exploring Operation: 154/7=22, Resulting Numbers: [18, 22]
Generated Node #3: [18, 22] from Operation: 154/7=22
Current State: 40:[18, 22], Operations: ['69+85=154', '154/7=22']
Exploring Operation: 18+22=40, Resulting Numbers: [40]
40,40 equal: Goal Reached
| 4 |
[
92,
83,
70,
97
] | 97 | [
"97-92=5",
"70/5=14",
"83+14=97"
] | Current State: 97:[92, 83, 70, 97], Operations: []
Exploring Operation: 97-92=5, Resulting Numbers: [83, 70, 5]
Generated Node #2: [83, 70, 5] from Operation: 97-92=5
Current State: 97:[83, 70, 5], Operations: ['97-92=5']
Exploring Operation: 70/5=14, Resulting Numbers: [83, 14]
Generated Node #3: [83, 14] from Operation: 70/5=14
Current State: 97:[83, 14], Operations: ['97-92=5', '70/5=14']
Exploring Operation: 83+14=97, Resulting Numbers: [97]
97,97 equal: Goal Reached
| 4 |
[
86,
7,
83,
33
] | 66 | [
"86+33=119",
"119/7=17",
"83-17=66"
] | Current State: 66:[86, 7, 83, 33], Operations: []
Exploring Operation: 86+33=119, Resulting Numbers: [7, 83, 119]
Generated Node #2: [7, 83, 119] from Operation: 86+33=119
Current State: 66:[7, 83, 119], Operations: ['86+33=119']
Exploring Operation: 119/7=17, Resulting Numbers: [83, 17]
Generated Node #3: [83, 17] from Operation: 119/7=17
Current State: 66:[83, 17], Operations: ['86+33=119', '119/7=17']
Exploring Operation: 83-17=66, Resulting Numbers: [66]
66,66 equal: Goal Reached
| 4 |
[
11,
29,
7,
23
] | 35 | [
"29-11=18",
"23-18=5",
"7*5=35"
] | Current State: 35:[11, 29, 7, 23], Operations: []
Exploring Operation: 29-11=18, Resulting Numbers: [7, 23, 18]
Generated Node #2: [7, 23, 18] from Operation: 29-11=18
Current State: 35:[7, 23, 18], Operations: ['29-11=18']
Exploring Operation: 23-18=5, Resulting Numbers: [7, 5]
Generated Node #3: [7, 5] from Operation: 23-18=5
Current State: 35:[7, 5], Operations: ['29-11=18', '23-18=5']
Exploring Operation: 7*5=35, Resulting Numbers: [35]
35,35 equal: Goal Reached
| 4 |
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